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<collection-meta collection-type="series"><title-group>
<title>U.S. Geological Survey Open-File Report</title>
<alt-title alt-title-type="pub-short-title">Open-File Report</alt-title>
<alt-title alt-title-type="pub-acronym-title">OFR</alt-title>
</title-group><contrib-group content-type="secretary-director"><contrib><aff><institution>U.S. Department of the Interior</institution></aff><role>Secretary</role></contrib><contrib><aff><institution>U.S. Geological Survey</institution></aff><role>Director</role></contrib></contrib-group><issn publication-format="online">2331-1258</issn></collection-meta>
<book-meta><book-id book-id-type="publisher-id">2021-1117</book-id><book-id book-id-type="doi">10.3133/ofr20211117</book-id><book-title-group>
<book-title>Optimization of Salt Marsh Management at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges, Virginia, Through Use of Structured Decision Making</book-title>
<alt-title alt-title-type="sentence-case">Optimization of salt marsh management at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges, Virginia, through use of structured decision making</alt-title>
<alt-title alt-title-type="running-head">Optimization of Marsh Management at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges</alt-title>
</book-title-group><contrib-group content-type="collaborator">
<contrib>
<collab>Prepared in cooperation with the U.S.&#x00A0;Fish and Wildlife Service</collab>
</contrib>
</contrib-group><contrib-group content-type="authors">
<contrib contrib-type="author"><string-name><x>By</x><x> </x><given-names>Hilary A.</given-names><x> </x><surname>Neckles</surname></string-name><x>,</x><xref ref-type="fn" rid="afn1"><sup>1</sup></xref><x> </x></contrib>
<contrib contrib-type="author"><string-name><given-names>James E.</given-names><x> </x><surname>Lyons</surname></string-name><x>,</x><xref ref-type="fn" rid="afn1"><sup>1</sup></xref><x> </x></contrib>
<contrib contrib-type="author"><string-name><given-names>Jessica L.</given-names><x> </x><surname>Nagel</surname></string-name><x>,</x><xref ref-type="fn" rid="afn1"><sup>1</sup></xref><x> </x></contrib>
<contrib contrib-type="author"><string-name><given-names>Susan C.</given-names><x> </x><surname>Adamowicz</surname></string-name><x>,</x><xref ref-type="fn" rid="afn2"><sup>2</sup></xref><x> </x></contrib>
<contrib contrib-type="author"><string-name><given-names>Toni</given-names><x> </x><surname>Mikula</surname></string-name><x>,</x><xref ref-type="fn" rid="afn2"><sup>2</sup></xref><x> </x></contrib>
<contrib contrib-type="author"><string-name><given-names>Pamela</given-names><x> </x><surname>Denmon</surname></string-name><x>,</x><xref ref-type="fn" rid="afn2"><sup>2</sup></xref><x> and </x></contrib>
<contrib contrib-type="author"><string-name><given-names>Robert</given-names><x> </x><surname>Leffel</surname></string-name><xref ref-type="fn" rid="afn2"><sup>2</sup></xref></contrib>
</contrib-group><author-notes>
<fn id="afn1"><label>1</label><p>U.S.&#x00A0;Geological Survey.</p></fn>
<fn id="afn2"><label>2</label><p>U.S.&#x00A0;Fish and Wildlife Service.</p></fn>
</author-notes><pub-date date-type="pub"><year>2021</year></pub-date><book-volume-number/><publisher>
<publisher-name>U.S. Geological Survey</publisher-name>
<publisher-loc>Reston, Virginia</publisher-loc>
</publisher><edition/><abstract>
<title>Abstract</title>
<p>Structured decision making is a systematic, transparent process for improving the quality of complex decisions by identifying measurable management objectives and feasible management actions; predicting the potential consequences of management actions relative to the stated objectives; and selecting a course of action that maximizes the total benefit achieved and balances tradeoffs among objectives. The U.S.&#x00A0;Geological Survey, in cooperation with the U.S.&#x00A0;Fish and Wildlife Service, applied an existing, regional framework for structured decision making to develop a prototype tool for optimizing tidal marsh management decisions at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges in Virginia. Refuge biologists, refuge managers, and research scientists identified multiple potential management actions to improve the ecological integrity of six marsh management units within the refuges, totaling about 575 hectares, and estimated the outcomes of each action in terms of performance metrics associated with each management objective. Value functions previously developed at the regional level were used to transform metric scores to a common utility scale, and utilities were summed to produce a single score representing the total management benefit that could be accrued from each potential management action. Constrained optimization was used to identify the set of management actions, one per marsh management unit, that could maximize total management benefits at different cost constraints at the refuge scale. Results indicated that, for the objectives and actions considered here, total management benefits may increase consistently up to approximately $143,000, but that further expenditures may yield diminishing return on investment. Potential management actions in optimal portfolios at total costs less than $143,000 included digging runnels by hand to improve drainage from the marsh surface, breaching a road to restore natural hydrology, trapping predators to enhance nest success of tidal marsh birds, and reducing the abundance of <italic>Odocoileus virginianus</italic> (white-tailed deer) to minimize their effects on marsh vegetation. The potential management benefits were derived from expected increases in number of tidal marsh obligate breeding birds, species richness of nekton, and density of spiders (as an indicator of trophic health); and an expected decrease in duration of surface flooding. The prototype presented here does not resolve management decisions; rather, it provides a framework for decision making at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges that can be updated as new data and information become available. Insights from this process may also be useful to inform future habitat management planning at the refuges.</p>
</abstract><custom-meta-group>
<custom-meta><meta-name>Online Only</meta-name><meta-value>True</meta-value></custom-meta>
</custom-meta-group><notes notes-type="further-information"><p>For more information on the USGS&#x2014;the Federal source for science about the Earth, its natural and living resources, natural hazards, and the environment&#x2014;visit <ext-link>https://www.usgs.gov</ext-link> or call 1&#x2013;888&#x2013;ASK&#x2013;USGS.</p></notes><notes notes-type="overview"><p>For an overview of USGS information products, including maps, imagery, and publications, visit <ext-link>https://store.usgs.gov/</ext-link>.</p></notes><notes notes-type="disclaimer"><p>Any use of trade, firm, or product names is for descriptive purposes only and does not imply endorsement by the U.S. Government.</p></notes><notes notes-type="permissions"><p>Although this information product, for the most part, is in the public domain, it also may contain copyrighted materials as noted in the text. Permission to reproduce copyrighted items must be secured from the copyright owner.</p></notes></book-meta>
<front-matter>
<front-matter-part>
<named-book-part-body>
<fig fig-type="cover"><caption><p>Photograph of ESV Marsh in the Eastern Shore of Virginia National Wildlife Refuge, Cape Charles, Virginia; photograph by the U.S.&#x00A0;Fish and Wildlife Service.</p></caption></fig>
</named-book-part-body>
</front-matter-part>
<ack>
<title>Acknowledgments</title>
<p>The U.S.&#x00A0;Fish and Wildlife Service (FWS) provided exceptional hospitality at the Eastern Shore of Virginia National Wildlife Refuge, Cape Charles, Virginia, for the 2018 structured decision-making workshop, which included participants from two additional national wildlife refuge administrative units. Nathan Bush of the FWS generated the mapping data used in this report, and Jackie Olson of the U.S.&#x00A0;Geological Survey expertly prepared the maps. Technical reviews by Rachel Katz of the FWS and Bill Thompson of the National Park Service greatly improved the quality of this report.</p>
</ack>
<front-matter-part book-part-type="Conversion-Factors">
<book-part-meta>
<title-group>
<title>Conversion Factors</title>
</title-group>
</book-part-meta>
<named-book-part-body>
<table-wrap id="ta" position="float">
<caption>
<title>International System of Units to U.S. customary units</title>
</caption>
<table rules="groups">
<col width="44.83%"/>
<col width="14.35%"/>
<col width="40.82%"/>
<thead>
<tr>
<td valign="top" align="center" scope="col" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Multiply</td>
<td valign="top" align="center" scope="col" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">By</td>
<td valign="top" align="center" scope="col" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">To obtain</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left" style="border-top: solid 0.50pt" scope="row">meter (m)</td>
<td valign="top" align="char" char="." style="border-top: solid 0.50pt">3.281</td>
<td valign="top" align="left" style="border-top: solid 0.50pt">foot (ft)</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">kilometer (km)</td>
<td valign="top" align="char" char=".">0.6214</td>
<td valign="top" align="left">mile (mi)</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">square meter (m<sup>2</sup>)</td>
<td valign="top" align="char" char=".">0.0002471</td>
<td valign="top" align="left">acre</td>
</tr>
<tr>
<td valign="top" align="left" style="border-bottom: solid 0.50pt" scope="row">hectare (ha)</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">2.471</td>
<td valign="top" align="left" style="border-bottom: solid 0.50pt">acre</td>
</tr>
</tbody></table></table-wrap>
</named-book-part-body>
</front-matter-part>
<front-matter-part book-part-type="Datums">
<book-part-meta>
<title-group>
<title>Datums</title>
</title-group>
</book-part-meta>
<named-book-part-body>
<p>Vertical coordinate information is referenced to the North American Vertical Datum of 1988 (NAVD 88).</p>
<p>Horizontal coordinate information is referenced to the North American Datum of 1983 (NAD 83).</p>
<p>Elevation, as used in this report, refers to distance above the vertical datum.</p>
</named-book-part-body>
</front-matter-part>
<glossary content-type="Abbreviations">
<title>Abbreviations</title>
<def-list>
<def-item><term>FWS</term><def><p>U.S.&#x00A0;Fish and Wildlife Service</p></def></def-item>
<def-item><term>NWR</term><def><p>national wildlife refuge</p></def></def-item>
<def-item><term>USGS</term><def><p>U.S.&#x00A0;Geological Survey</p></def></def-item>
</def-list>
</glossary>
</front-matter>
<book-body>
<book-part>
<body>
<sec>
<title>Introduction</title>
<p>The National Wildlife Refuge System protects extensive salt marsh acreage in the northeastern United States. Much of this habitat has been degraded by a succession of human activities since the time of European settlement (<xref ref-type="bibr" rid="r-1-7">Gedan and others, 2009</xref>), and accelerated rates of sea-level rise exacerbate these effects (<xref ref-type="bibr" rid="r-1-6">Gedan and others, 2011</xref>; <xref ref-type="bibr" rid="r-1-16">Kirwan and Megonigal, 2013</xref>). Therefore, strategies to restore and enhance the ecological integrity of national wildlife refuge (NWR) salt marshes are regularly considered. Management may include such activities as reestablishing natural hydrology, augmenting or excavating sediments to restore marsh elevation, controlling invasive species, planting native vegetation, minimizing shoreline erosion, and remediating contaminant problems. Uncertainty stemming from incomplete knowledge of system status and imperfect understanding of ecosystem dynamics commonly hinders management predictions and selection of the most effective management options. Consequently, tools for identifying appropriate assessment variables and evaluating tradeoffs among management objectives are valuable to inform marsh management decisions.</p>
<p>Structured decision making is a systematic approach to improving the quality of complex decisions that integrates assessment metrics into the decision process (<xref ref-type="bibr" rid="r-1-10">Gregory and Keeney, 2002</xref>). This approach involves identifying measurable management objectives and potential management actions, predicting management outcomes, and evaluating tradeoffs to choose a preferred alternative. From 2008 to 2012, the U.S.&#x00A0;Geological Survey (USGS) and U.S.&#x00A0;Fish and Wildlife Service (FWS) used structured decision making to develop a framework for optimizing management decisions for NWR salt marshes in the FWS Northeast Region (that is, salt marshes in the coastal region from Maine through Virginia). The structured decision-making steps were applied through successive &#x201C;rapid prototyping&#x201D; workshops, an iterative process in which relatively short periods of time are invested to continually improve the decision structure (<xref ref-type="bibr" rid="r-1-1">Blomquist and others, 2010</xref>; <xref ref-type="bibr" rid="r-1-5">Garrard and others, 2017</xref>). The decision framework includes regional management objectives addressing critical components of salt marsh ecosystems, and associated performance metrics for determining whether objectives are achieved (<xref ref-type="bibr" rid="r-1-20">Neckles and others, 2015</xref>). The regional objectives structure served as the foundation for a consistent protocol for monitoring salt marsh integrity at these northeastern coastal refuges, in which the monitoring variables are linked explicitly to management goals (<xref ref-type="bibr" rid="r-1-19">Neckles and others, 2013</xref>). From 2012 to 2016, this protocol was used to conduct a baseline assessment of salt marsh integrity at all 17 refuges or refuge complexes in the FWS Northeast Region with salt marsh habitat (<xref ref-type="fig" rid="fig01">fig.&#x00A0;1</xref>).</p>
<fig id="fig01" position="float" fig-type="figure"><?Figure Large?><label>Figure 1</label><caption><p>Map showing national wildlife refuges and national wildlife refuge complexes of the U.S.&#x00A0;Fish and Wildlife Service where salt marsh integrity was assessed from 2012 to 2016 using the regional monitoring protocol.</p><p content-type="toc">Figure 1.&#x2003;Map showing national wildlife refuges and national wildlife refuge complexes of the U.S.&#x00A0;Fish and Wildlife Service where salt marsh integrity was assessed from 2012 to 2016 using the regional monitoring protocol</p></caption>
<long-desc>Refuges on the northeastern seaboard from Virginia to Maine.</long-desc><graphic xlink:href="pem18-0079_fig01"/></fig>
<p>The Eastern Shore of Virginia National Wildlife Refuge protects 180 hectares (ha) of salt marsh at the southern end of the Delmarva Peninsula, in Northampton County, Virginia, between the Atlantic Ocean and Chesapeake Bay (<xref ref-type="fig" rid="fig02">fig.&#x00A0;2</xref>). The Fisherman Island National Wildlife Refuge protects an additional 393 ha of salt marsh on a barrier island separated from the Delmarva Peninsula by Fishermans Inlet (<xref ref-type="fig" rid="fig02">fig.&#x00A0;2</xref>). The two refuges are administered jointly and are considered together for descriptive and management purposes. The salt marsh on the refuges provides critical breeding, migratory, or wintering habitat for bird species of highest conservation priority, including <italic>Anas rubripes</italic> (American black duck), <italic>Branta bernicla</italic> (Atlantic brant), and <italic>Ammodramus caudacutus</italic> (saltmarsh sparrow) in the New England and mid-Atlantic coast bird conservation region of the U.S.&#x00A0;North American Bird Conservation Initiative (<xref ref-type="bibr" rid="r-1-27">Steinkamp, 2008</xref>; <xref ref-type="bibr" rid="r-1-4">Denmon, 2018</xref>; <xref ref-type="bibr" rid="r-1-30">U.S.&#x00A0;North American Bird Conservation Initiative, 2020</xref>). The salt marsh also provides important foraging habitat for wading birds, such as <italic>Ardea alba</italic> (great egret) and <italic>Egretta thula</italic> (snowy egret), during the breeding season. The primary threats to this habitat are marsh submergence associated with rising sea level, spread of the invasive reed <italic>Phragmites australis</italic> (hereafter referred to as <italic>Phragmites</italic>), and overabundance of <italic>Odocoileus virginianus</italic> (white-tailed deer; <xref ref-type="bibr" rid="r-1-4">Denmon, 2018</xref>). Salt-marsh management goals set by the FWS for the refuges include maintaining the long-term productivity, integrity, and function of this habitat for marsh-dependent birds (FWS, 2004; <xref ref-type="bibr" rid="r-1-4">Denmon, 2018</xref>). In this study, the regional structured decision-making framework was used to help prioritize salt marsh management options for the refuges.</p>
<fig id="fig02" position="float" fig-type="figure"><?Figure Large?><label>Figure 2</label><caption><p>Map showing salt marsh management units at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges in Virginia. U.S.&#x00A0;Fish and Wildlife Service managed areas shown for reference.</p><p content-type="toc">Figure 2.&#x2003;Map showing salt marsh management units at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges in Virginia</p></caption>
<long-desc>Areas of salt marsh are highlighted.</long-desc><graphic xlink:href="pem18-0079_fig02"/></fig>
<sec>
<title>Purpose and Scope</title>
<p>This report describes the application of the regional structured decision-making framework (<xref ref-type="bibr" rid="r-1-20">Neckles and others, 2015</xref>) to the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges. The regional framework was parameterized to local conditions through rapid prototyping, producing a decision model for the refuges that can be updated as new information becomes available. Included are a suite of potential management actions to achieve objectives in six marsh management units of the refuges (four units at the Eastern Shore of Virginia National Wildlife Refuge and two units at the Fisherman Island National Wildlife Refuge; <xref ref-type="fig" rid="fig02">fig.&#x00A0;2</xref>), approximate costs for implementing each potential action, predictions for the outcome of each management action relative to individual management objectives, and results of constrained optimization to maximize management benefits subject to cost constraints. This decision structure can be used to understand how specific actions may contribute to achieving management objectives and identify an optimum combination of actions, or &#x201C;management portfolio,&#x201D; to maximize management benefits at the refuge scale for a range of potential budgets. The prototype presented here provides a framework for continually improving the quality of complex management decisions at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges.</p>
</sec>
<sec>
<title>Description of Study Area</title>
<p>The Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges are located at the southern tip of the Delmarva Peninsula (<xref ref-type="fig" rid="fig01">fig.&#x00A0;1</xref>), an area that concentrates millions of birds annually during southward migration. The refuges&#x2019; habitats, including maritime forest, shrub thickets, grasslands, beaches, and salt marsh, provide some of the country&#x2019;s most valuable stopovers for migratory birds (FWS, 2004; <xref ref-type="bibr" rid="r-1-4">Denmon, 2018</xref>). The salt marsh at the Eastern Shore of Virginia National Wildlife Refuge is divided into four marsh management units ranging in size from 22 ha to 76 ha, and the salt marsh at the Fisherman Island National Wildlife Refuge is divided into two marsh management units at 54 ha and 339 ha in size (<xref ref-type="fig" rid="fig02">fig.&#x00A0;2</xref>). At both refuges, the primary salt marsh habitat is low marsh dominated by <italic>Spartina alterniflora</italic> (smooth cordgrass), which is flooded regularly at high tide. The salt marshes throughout the refuges are relatively unaltered by historic human activities such as ditching. The majority of the area within 150-meter and 1-kilometer buffers around the marsh management unit boundaries is categorized under natural land uses (land classified by the 2011 National Land Cover Database as categories other than agricultural or developed; <xref ref-type="bibr" rid="r-1-18">Multi-Resolution Land Characteristics Consortium, 2020</xref>). During summertime sampling in 2014 and 2015, average surface-water salinities ranged from about 26 to 35 parts per thousand (polyhaline to euhaline as defined by <xref ref-type="bibr" rid="r-1-3">Cowardin and others, 1979</xref>) within the marsh management units (FWS, 2016).</p>
</sec>
</sec>
<sec>
<title>Regional Structured Decision-Making Framework</title>
<p>A regional framework for assessing and managing salt marsh integrity at northeastern NWRs was developed through collaborative efforts of FWS regional and refuge managers and biologists, salt marsh research scientists, and structured decision-making experts. This process followed the discrete steps outlined by <xref ref-type="bibr" rid="r-1-11">Hammond and others (1999)</xref> and <xref ref-type="bibr" rid="r-1-10">Gregory and Keeney (2002)</xref>:</p>
<list id="L1" list-type="order">
<list-item><label>1.</label><p>Clarify the temporal and spatial scope of the management decision.</p></list-item>
<list-item><label>2.</label><p>Define objectives and performance measures to evaluate whether objectives are achieved.</p></list-item>
<list-item><label>3.</label><p>Develop alternative management actions for achieving objectives.</p></list-item>
<list-item><label>4.</label><p>Estimate the consequences or likely outcomes of management actions in terms of the performance measures.</p></list-item>
<list-item><label>5.</label><p>Evaluate the tradeoffs inherent in potential alternatives and select the optimum alternatives to maximize management benefits.</p></list-item></list>
<p>This sequence of steps was applied through successive workshops to refine the decision structure and incorporate newly available information. Initial development of the structured decision-making framework occurred during a week-long workshop in 2008 to define the decision problem, specify management objectives, and explore potential strategies available to restore and enhance salt marsh integrity. During 2008 and 2009, workshop results were used to guide field tests of salt marsh monitoring variables (<xref ref-type="bibr" rid="r-1-19">Neckles and others, 2013</xref>). Subsequently, in 2012, data and insights gained from these field tests were used in a two-part workshop to refine management objectives and develop the means for evaluating management outcomes (<xref ref-type="bibr" rid="r-1-20">Neckles and others, 2015</xref>).</p>
<p>From the outset, FWS goals included development of an approach for consistent assessment of salt marsh integrity across all northeastern NWRs (<xref ref-type="fig" rid="fig01">fig.&#x00A0;1</xref>). Within this regional context, staff at a given refuge must periodically determine the best approaches for managing salt marshes to maximize habitat value while considering financial and other constraints. The salt marsh decision problem was thus defined as applying to individual NWRs over a 5-year planning horizon. The objectives for complex decisions can be organized into a hierarchy to help clarify what is most important to decision makers (<xref ref-type="bibr" rid="r-1-9">Gregory and others, 2012</xref>). The hierarchy of objectives for salt marsh management decisions (<xref ref-type="table" rid="t01">table&#x00A0;1</xref>) was based explicitly on the conservation mission of the National Wildlife Refuge System, which is upheld through FWS management to &#x201C;ensure that the biological integrity, diversity, and environmental health of the System are maintained for the benefit of present and future generations of Americans,&#x201D; as mandated in the National Wildlife Refuge System Improvement Act of 1997 (16 U.S.C. &#x00A7;668dd note). Two fundamental objectives, or the overall goals for salt marsh management decisions, were drawn from this policy to maximize (1) biological integrity and diversity, and (2) environmental health, of salt marsh ecosystems. Participants in the prototyping workshops deconstructed these overall goals into lower-level objectives relating to salt marsh structure and function and identified performance metrics to evaluate whether objectives are achieved (<xref ref-type="table" rid="t01">table&#x00A0;1</xref>). In addition, performance metrics were weighted to reflect the relative importance of each objective (<xref ref-type="bibr" rid="r-1-20">Neckles and others, 2015</xref>).</p>
<table-wrap id="t01" position="float">
<label>Table 1</label><caption><title>Objectives hierarchy for salt marsh management decision problems.</title>
<p content-type="toc">Table 1.&#x2003;Objectives hierarchy for salt marsh management decision problems</p>
<p>[Two fundamental objectives (overall goals of the decision problem) draw directly from U.S.&#x00A0;Fish and Wildlife Service (FWS) National Wildlife Refuge System policy to maintain, restore, and enhance biological integrity, diversity, and environmental health within the refuges. These are broken down into lower level objectives focused on specific aspects of marsh structure and function. Values in parentheses are weights assigned to objectives, reflecting their relative importance. Weights on any branch of the hierarchy (that is, objectives that are at the same level of the hierarchy under a fundamental objective) sum to one. The weight for each metric is the product of the weights from each level of the hierarchy leading to that metric. See also <xref ref-type="bibr" rid="r-1-20">Neckles and others (2015)</xref>. NA, not applicable]</p>
</caption>
<table rules="groups">
<col width="33.75%"/>
<col width="35.51%"/>
<col width="30.74%"/>
<thead>
<tr>
<td valign="middle" align="center" scope="col" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">FWS objectives</td>
<td valign="middle" align="center" scope="col" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Performance metrics</td>
<td valign="middle" align="center" scope="col" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Unit of measurement</td>
</tr>
</thead>
<tbody>
<tr>
<th colspan="3" valign="top" align="center" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt" scope="col">Maximize biological integrity and diversity<sup>1</sup> (0.5)</th>
</tr>
<tr>
<td valign="top" align="left" style="border-top: solid 0.50pt" scope="row">Maximize cover of native vegetation (0.24)</td>
<td valign="top" align="left" style="border-top: solid 0.50pt">Cover of native vegetation</td>
<td valign="top" align="left" style="border-top: solid 0.50pt">Percent</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">Maximize abundance and diversity of native nekton (0.18):</td>
<td valign="top" align="left">NA</td>
<td valign="top" align="left">NA</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x2003;Maximize nekton abundance (0.50)</td>
<td valign="top" align="left">Native nekton density</td>
<td valign="top" align="left">Number per square meter</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x2003;Maximize nekton diversity (0.50)</td>
<td valign="top" align="left">Native nekton species richness</td>
<td valign="top" align="left">Number of native species</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">Maintain sustainable populations of obligate salt marsh breeding birds (0.20)</td>
<td valign="top" align="left">Abundance of four species of tidal marsh obligate birds (<italic>Rallus crepitans</italic> [clapper rail], <italic>Tringa semipalmata</italic> [willet], saltmarsh sparrow, <italic>Ammodramus maritima</italic> [seaside sparrow])</td>
<td valign="top" align="left">Number per marsh management unit from call-broadcast surveys, summed across all sampling points in unit</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">Maximize use by nonbreeding wetland birds (0.20)</td>
<td valign="top" align="left">Abundance of American black duck as indicator species</td>
<td valign="top" align="left">Relative abundance for refuge during wintering waterfowl season (low, medium, high)<sup>2</sup></td>
</tr>
<tr>
<td valign="top" align="left" style="border-bottom: solid 0.50pt" scope="row">Maintain trophic structure (0.18)</td>
<td valign="top" align="left" style="border-bottom: solid 0.50pt">Density of spiders as indicator taxon</td>
<td valign="top" align="left" style="border-bottom: solid 0.50pt">Number per square meter</td>
</tr>
<tr>
<th colspan="3" valign="top" align="center" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt" scope="col">Maximize environmental health<sup>1</sup> (0.5)</th>
</tr>
<tr>
<td valign="top" align="left" style="border-top: solid 0.50pt" scope="row">Maintain natural hydrology (0.44):</td>
<td valign="top" align="left" style="border-top: solid 0.50pt">NA</td>
<td valign="top" align="left" style="border-top: solid 0.50pt">NA</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x2003;Maintain natural flooding regime (0.50)</td>
<td valign="top" align="left">Percent of time marsh surface is flooded relative to ideal reference system</td>
<td valign="top" align="left">Absolute deviation from reference in percentage points</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x2003;Maintain natural salinity (0.50)</td>
<td valign="top" align="left">Surface-water salinity relative to ideal reference system</td>
<td valign="top" align="left">Absolute deviation from reference in parts per thousand</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">Maintain the extent of the marsh platform (0.44)</td>
<td valign="top" align="left">Change in marsh surface elevation relative to sea-level rise</td>
<td valign="top" align="left">0=change in elevation is less than amount of sea-level rise; 1=change in elevation greater than or equal to amount of sea-level rise</td>
</tr>
<tr>
<td valign="top" align="left" style="border-bottom: solid 0.50pt" scope="row">Minimize use of herbicides (0.12)</td>
<td valign="top" align="left" style="border-bottom: solid 0.50pt">Rate of application</td>
<td valign="top" align="left" style="border-bottom: solid 0.50pt">Pints</td>
</tr>
</tbody></table>
<table-wrap-foot>
<fn id="t01n1"><label><sup>1</sup></label><p>Fundamental objectives of salt marsh management decisions.</p></fn>
<fn id="t01n2"><label><sup>2</sup></label><p>Relative abundance based on local knowledge.</p></fn></table-wrap-foot>
</table-wrap>
<p>The hierarchy of objectives for salt marsh management (<xref ref-type="table" rid="t01">table&#x00A0;1</xref>) provides the foundation for identifying possible management actions at individual NWRs and predicting management outcomes. Workshop participants developed preliminary influence diagrams (<xref ref-type="app" rid="a1">app.&#x00A0;1</xref>), or conceptual models relating management actions to responses by each performance metric (<xref ref-type="bibr" rid="r-1-2">Conroy and Peterson, 2013</xref>), to guide this process. To allow metric responses to be aggregated into a single, overall performance score, participants also defined value functions relating salt marsh integrity metric scores to perceived management benefit on a common, unitless &#x201C;utility&#x201D; scale (<xref ref-type="bibr" rid="r-1-14">Keeney and Raiffa, 1993</xref>). Stakeholder elicitation was used to determine the form of each value function relating the original metric scale to the utility scale, ranging from 0, representing the lowest management benefit, to 1, representing the highest benefit (<xref ref-type="app" rid="a2">app.&#x00A0;2</xref>). <xref ref-type="bibr" rid="r-1-20">Neckles and others (2015)</xref> provided details regarding development of the structured decision-making framework and a case-study application to Prime Hook National Wildlife Refuge in Delaware.</p>
</sec>
<sec>
<title>Application to the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges</title>
<p>In February 2018, FWS regional biologists, biologists and managers from four northeastern NWR administrative units, and USGS research scientists (<xref ref-type="table" rid="t02">table&#x00A0;2</xref>) participated in a 1.5-day rapid-prototyping workshop to apply the regional structured decision-making framework to the Eastern Shore of Virginia, Fisherman Island, and Plum Tree Island National Wildlife Refuges and the Long Island National Wildlife Refuge Complex. Participants worked within refuge-specific small groups to focus on management issues at individual refuges. Plenary discussions of common patterns of salt marsh degradation, potential management strategies, and mechanisms of ecosystem response offered additional insights to enhance refuge-specific discussions.</p>
<table-wrap id="t02" position="float">
<label>Table 2</label><caption><title>Participants in workshop convened at the Eastern Shore of Virginia National Wildlife Refuge to apply a regional framework for optimizing salt marsh management decisions to three national wildlife refuge administrative units in February 2018.</title>
<p content-type="toc">Table 2.&#x2003;Participants in workshop convened at the Eastern Shore of Virginia National Wildlife Refuge to apply a regional framework for optimizing salt marsh management decisions to three national wildlife refuge administrative units in February 2018</p>
<p>[FWS, U.S.&#x00A0;Fish and Wildlife Service; NWR, National Wildlife Refuge; USGS, U.S.&#x00A0;Geological Survey]</p>
</caption>
<table rules="groups">
<col width="62.07%"/>
<col width="37.93%"/>
<thead>
<tr>
<td valign="middle" align="center" scope="col" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Affiliation</td>
<td valign="middle" align="center" scope="col" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Participant</td>
</tr>
</thead>
<tbody>
<tr>
<th colspan="2" valign="top" align="center" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt" scope="col">FWS NWR specialists</th>
</tr>
<tr>
<td valign="top" align="left" style="border-top: solid 0.50pt" scope="row">Eastern Shore of Virginia and Fisherman Island NWRs</td>
<td valign="top" align="left" style="border-top: solid 0.50pt">Pam Denmon</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">Eastern Shore of Virginia and Fisherman Island NWRs</td>
<td valign="top" align="left">Robert Leffel</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">Long Island NWR Complex</td>
<td valign="top" align="left">Monica Williams</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">Plum Tree Island NWR</td>
<td valign="top" align="left">William Crouch</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">Plum Tree Island NWR</td>
<td valign="top" align="left">Lauren Cruz</td>
</tr>
<tr>
<th valign="middle" colspan="2" align="center" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt" scope="col">FWS regional expert</th>
</tr>
<tr>
<td valign="top" align="left" style="border-bottom: solid 0.50pt" scope="row">Rachel Carson NWR</td>
<td valign="top" align="left" style="border-bottom: solid 0.50pt">Susan Adamowicz</td>
</tr>
<tr>
<th valign="middle" colspan="2" align="center" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt" scope="col">Research scientists</th>
</tr>
<tr>
<td valign="top" align="left" scope="row">USGS Eastern Ecological Science Center</td>
<td valign="top" align="left">James Lyons</td>
</tr>
<tr>
<td valign="top" align="left" style="border-bottom: solid 0.50pt" scope="row">USGS Eastern Ecological Science Center</td>
<td valign="top" align="left" style="border-bottom: solid 0.50pt">Hilary Neckles</td>
</tr>
</tbody></table></table-wrap>
<p>Participants identified a range of possible management actions for achieving objectives within each marsh management unit at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges and estimated the total cost of implementation over a 5-year period; the specific years of implementation were not identified in this prototype. Potential actions to enhance salt marsh integrity ranged from targeted efforts that restore hydrologic connections, increase surface-water drainage, or control predators, deer, or spread of <italic>Phragmites</italic>, to large-scale projects that alter marsh elevation (<xref ref-type="table" rid="t03">table&#x00A0;3</xref>). Participants predicted the outcomes of each management action 5 years after initial implementation in terms of salt marsh integrity performance metrics. For most metrics, baseline conditions within each unit measured during the 2012&#x2013;16 salt marsh integrity assessment (FWS, 2016) were used to predict the outcomes of a &#x201C;no-action&#x201D; alternative. Baseline conditions were estimated by using expert judgement for three metrics that lacked assessment data (abundance of American black ducks, density of spiders, change in marsh surface elevation relative to sea-level rise). Regional influence diagrams relating management strategies to outcomes aided in predicting consequences of management actions (<xref ref-type="app" rid="a1">app.&#x00A0;1</xref>). Although the influence diagrams incorporated the potential effects of stochastic processes, including weather, sea-level rise, herbivory, contaminant inputs, and disease, on management outcomes, no attempt was made to quantify these sources of uncertainty during rapid prototyping. Management predictions also inherently included considerable uncertainty surrounding the complex interactions among controlling factors and salt marsh ecosystem components.</p>
<table-wrap id="t03" orientation="landscape" position="float">
<label>Table 3</label><caption><title>Possible management actions for achieving objectives within marsh management units at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges, Virginia, estimated costs over 5 years, and predicted outcomes expressed relative to performance metrics.</title>
<p content-type="toc">Table 3.&#x2003;Possible management actions for achieving objectives within marsh management units at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges, Virginia, estimated costs over 5 years, and predicted outcomes expressed relative to performance metrics</p>
<p>[Potential management actions, costs, and predicted outcomes developed by workshop participants using expert judgement. Predicted consequences of management actions aided by influence diagrams (<xref ref-type="app" rid="a1">app.&#x00A0;1</xref>). %, percent; ppt, parts per thousand]</p>
</caption>
<table rules="groups">
<col width="10.23%"/>
<col width="7.79%"/>
<col width="8.91%"/>
<col width="7.79%"/>
<col width="8.28%"/>
<col width="8.28%"/>
<col width="7.26%"/>
<col width="7.8%"/>
<col width="8.27%"/>
<col width="7.63%"/>
<col width="8.21%"/>
<col width="9.55%"/>
<thead>
<tr>
<td rowspan="3" valign="middle" align="center" scope="col" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Management action</td>
<td rowspan="3" valign="middle" align="center" scope="col" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Estimated cost over 5 years (dollars)</td>
<td valign="middle" colspan="10" align="center" scope="colgroup" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Performance metrics</td>
</tr>
<tr>
<td rowspan="2" valign="middle" colspan="1" align="center" scope="colgroup" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Native vegetation (% cover)</td>
<td valign="middle" colspan="2" align="center" scope="colgroup" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Nekton</td>
<td rowspan="2" valign="middle" align="center" scope="col" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Tidal marsh obligate birds (summed number per point)</td>
<td rowspan="2" valign="middle" align="center" scope="col" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">American black ducks use<sup>1</sup></td>
<td rowspan="2" valign="middle" align="center" scope="col" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Spider density (number per square meter)</td>
<td valign="middle" colspan="2" align="center" scope="colgroup" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Hydrology</td>
<td rowspan="2" valign="middle" align="center" scope="col" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Marsh surface elevation change relative to sea-level rise<sup>3</sup></td>
<td rowspan="2" valign="middle" align="center" scope="col" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Herbicide application (pints/year)</td>
</tr>
<tr>
<td valign="middle" colspan="1" align="center" scope="colgroup" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Density (number of animals per square meter)</td>
<td valign="middle" align="center" scope="col" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Species richness (number)</td>
<td valign="middle" colspan="1" align="center" scope="colgroup" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Duration of surface flooding<sup>2</sup> (%)</td>
<td valign="middle" align="center" scope="col" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Surface-water salinity<sup>2</sup> (ppt)</td>
</tr>
</thead>
<tbody>
<tr>
<th valign="middle" colspan="12" align="center" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt" scope="col">Bull Marsh</th>
</tr>
<tr>
<td valign="top" align="left" style="border-top: solid 0.50pt" scope="row">A. No action</td>
<td valign="top" align="char" char="." style="border-top: solid 0.50pt">0</td>
<td valign="top" align="char" char="." style="border-top: solid 0.50pt">98</td>
<td valign="top" align="char" char="." style="border-top: solid 0.50pt">76</td>
<td valign="top" align="char" char="." style="border-top: solid 0.50pt">7</td>
<td valign="top" align="char" char="." style="border-top: solid 0.50pt">3.5</td>
<td valign="top" align="char" char="." style="border-top: solid 0.50pt">Medium</td>
<td valign="top" align="char" char="." style="border-top: solid 0.50pt">30</td>
<td valign="top" align="char" char="." style="border-top: solid 0.50pt">10.6</td>
<td valign="top" align="char" char="." style="border-top: solid 0.50pt">6</td>
<td valign="top" align="char" char="." style="border-top: solid 0.50pt">1</td>
<td valign="top" align="char" char="." style="border-top: solid 0.50pt">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">B. Remove road and control any resulting invasive species</td>
<td valign="top" align="char" char=".">250,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">91</td>
<td valign="top" align="char" char=".">10</td>
<td valign="top" align="char" char=".">5.5</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">6</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">C. Breach road in four places and control any resulting invasive species</td>
<td valign="top" align="char" char=".">20,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">84</td>
<td valign="top" align="char" char=".">9</td>
<td valign="top" align="char" char=".">4.5</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">5</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">3</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">D. Lower road elevation</td>
<td valign="top" align="char" char=".">50,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">80</td>
<td valign="top" align="char" char=".">8</td>
<td valign="top" align="char" char=".">4.5</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">7</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">E. Remove <italic>Phragmites</italic> in western edge of unit and field</td>
<td valign="top" align="char" char=".">25,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">76</td>
<td valign="top" align="char" char=".">7</td>
<td valign="top" align="char" char=".">3.6</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">10.6</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">60</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">F. Facilitate marsh migration by leveling berms and ditches west of unit and controlling invasive plants</td>
<td valign="top" align="char" char=".">15,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">76</td>
<td valign="top" align="char" char=".">7</td>
<td valign="top" align="char" char=".">3.5</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">9</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">12</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">G. Create more pools and runnels</td>
<td valign="top" align="char" char=".">60,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">8</td>
<td valign="top" align="char" char=".">3.5</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">10.6</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">H. Trap mammalian predators, including <italic>Procyon lotor</italic> (raccoon), to increase nesting success of tidal marsh birds</td>
<td valign="top" align="char" char=".">50,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">76</td>
<td valign="top" align="char" char=".">7</td>
<td valign="top" align="char" char=".">4</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">10.6</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">I. Reduce disturbance through refuge permits</td>
<td valign="top" align="char" char=".">7,800</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">76</td>
<td valign="top" align="char" char=".">7</td>
<td valign="top" align="char" char=".">3.7</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">10.6</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">J. Acquire land and control <italic>Phragmites</italic></td>
<td valign="top" align="char" char=".">17,400</td>
<td valign="top" align="char" char=".">98</td>
<td valign="top" align="char" char=".">108</td>
<td valign="top" align="char" char=".">9</td>
<td valign="top" align="char" char=".">3.6</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">9</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">30</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">K. Install three culverts in road and control invasive plants</td>
<td valign="top" align="char" char=".">20,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">82</td>
<td valign="top" align="char" char=".">9</td>
<td valign="top" align="char" char=".">4.5</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">4</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">3</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">L. B+G</td>
<td valign="top" align="char" char=".">310,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">130</td>
<td valign="top" align="char" char=".">11</td>
<td valign="top" align="char" char=".">5.7</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">10.6</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<th valign="middle" colspan="12" align="char" char="." style="border-top: solid 0.50pt; border-bottom: solid 0.50pt" scope="col">Skidmore S</th>
</tr>
<tr>
<td valign="top" align="left" scope="row">A. No action</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="char" char=".">99</td>
<td valign="top" align="char" char=".">12</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">0.69</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">22.8</td>
<td valign="top" align="char" char=".">2</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">B. Create islands for marsh bird nesting using dredge spoils</td>
<td valign="top" align="char" char=".">30,000</td>
<td valign="top" align="char" char=".">98</td>
<td valign="top" align="char" char=".">12</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">18</td>
<td valign="top" align="char" char=".">2</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">C. Apply broad-scale sediment to marsh platform to lower flood duration</td>
<td valign="top" align="char" char=".">90,000</td>
<td valign="top" align="char" char=".">99</td>
<td valign="top" align="char" char=".">11</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="char" char=".">2</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">D. Remove <italic>Phragmites</italic> on uplands and marsh edge</td>
<td valign="top" align="char" char=".">7,500</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">12</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">0.7</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">22.8</td>
<td valign="top" align="char" char=".">2</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">18</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">E. Trap mammalian predators, including raccoons, to increase nesting success of tidal marsh birds</td>
<td valign="top" align="char" char=".">50,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">12</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">1.2</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">22.8</td>
<td valign="top" align="char" char=".">2</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">F. B+E</td>
<td valign="top" align="char" char=".">80,000</td>
<td valign="top" align="char" char=".">99</td>
<td valign="top" align="char" char=".">12</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">2</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">18</td>
<td valign="top" align="char" char=".">2</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">G. B+C+E</td>
<td valign="top" align="char" char=".">170,000</td>
<td valign="top" align="char" char=".">99</td>
<td valign="top" align="char" char=".">11</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">3</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="char" char=".">2</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<th valign="middle" colspan="12" align="char" char="." style="border-top: solid 0.50pt; border-bottom: solid 0.50pt" scope="col">ESV Marsh</th>
</tr>
<tr>
<td valign="top" align="left" scope="row">A. No action</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="char" char=".">97</td>
<td valign="top" align="char" char=".">87</td>
<td valign="top" align="char" char=".">8</td>
<td valign="top" align="char" char=".">5.7</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">10</td>
<td valign="top" align="char" char=".">3</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">B. Trap mammalian predators, including raccoons, to increase nesting success of tidal marsh birds</td>
<td valign="top" align="char" char=".">50,000</td>
<td valign="top" align="char" char=".">98</td>
<td valign="top" align="char" char=".">87</td>
<td valign="top" align="char" char=".">8</td>
<td valign="top" align="char" char=".">6.1</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">10</td>
<td valign="top" align="char" char=".">3</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">C. Reduce deer population</td>
<td valign="top" align="char" char=".">10,000</td>
<td valign="top" align="char" char=".">98</td>
<td valign="top" align="char" char=".">87</td>
<td valign="top" align="char" char=".">8</td>
<td valign="top" align="char" char=".">6.1</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">10</td>
<td valign="top" align="char" char=".">3</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">D. Remove Wise Point Road and control invasive plants</td>
<td valign="top" align="char" char=".">100,000</td>
<td valign="top" align="char" char=".">98</td>
<td valign="top" align="char" char=".">87</td>
<td valign="top" align="char" char=".">8</td>
<td valign="top" align="char" char=".">5.9</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">10</td>
<td valign="top" align="char" char=".">3</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">24</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">E. Remove water control structure on Wise Point Road and control invasive plants</td>
<td valign="top" align="char" char=".">10,000</td>
<td valign="top" align="char" char=".">98</td>
<td valign="top" align="char" char=".">87</td>
<td valign="top" align="char" char=".">8</td>
<td valign="top" align="char" char=".">5.9</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">10</td>
<td valign="top" align="char" char=".">3</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">6</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">F. Remove <italic>Phragmites</italic> on Wise Point Road and fringing marsh unit</td>
<td valign="top" align="char" char=".">50,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">87</td>
<td valign="top" align="char" char=".">8</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">10</td>
<td valign="top" align="char" char=".">3</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">18</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">G. Reduce disturbance through refuge permits</td>
<td valign="top" align="char" char=".">7,800</td>
<td valign="top" align="char" char=".">98</td>
<td valign="top" align="char" char=".">87</td>
<td valign="top" align="char" char=".">8</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">10</td>
<td valign="top" align="char" char=".">3</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">H. B+C</td>
<td valign="top" align="char" char=".">60,000</td>
<td valign="top" align="char" char=".">98</td>
<td valign="top" align="char" char=".">87</td>
<td valign="top" align="char" char=".">8</td>
<td valign="top" align="char" char=".">6.6</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">10</td>
<td valign="top" align="char" char=".">3</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">I. Dig runnels by hand</td>
<td valign="top" align="char" char=".">9,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">157</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">8.6</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">7</td>
<td valign="top" align="char" char=".">3</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">J. Dig runnels using machine</td>
<td valign="top" align="char" char=".">26,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">124</td>
<td valign="top" align="char" char=".">13</td>
<td valign="top" align="char" char=".">8.9</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="char" char=".">3</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<th valign="middle" colspan="12" align="char" char="." style="border-top: solid 0.50pt; border-bottom: solid 0.50pt" scope="col">Raccoon</th>
</tr>
<tr>
<td valign="top" align="left" scope="row">A. No action</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="char" char=".">99</td>
<td valign="top" align="char" char=".">88</td>
<td valign="top" align="char" char=".">11</td>
<td valign="top" align="char" char=".">2</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">16.1</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">B. Trap mammalian predators, including raccoons, to increase nesting success of tidal marsh birds</td>
<td valign="top" align="char" char=".">5,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">88</td>
<td valign="top" align="char" char=".">11</td>
<td valign="top" align="char" char=".">2.8</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">16.1</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">C. Remove <italic>Phragmites</italic> on south end of marsh unit</td>
<td valign="top" align="char" char=".">10,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">88</td>
<td valign="top" align="char" char=".">11</td>
<td valign="top" align="char" char=".">2.8</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">16.1</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="char" char=".">24</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">D. Install living shoreline</td>
<td valign="top" align="char" char=".">2,500,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">120</td>
<td valign="top" align="char" char=".">11</td>
<td valign="top" align="char" char=".">2.8</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">16.1</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<th valign="middle" colspan="12" align="char" char="." style="border-top: solid 0.50pt; border-bottom: solid 0.50pt" scope="col">Fisherman Island East Marsh</th>
</tr>
<tr>
<td valign="top" align="left" scope="row">A. No action</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="char" char=".">98</td>
<td valign="top" align="char" char=".">51</td>
<td valign="top" align="char" char=".">9</td>
<td valign="top" align="char" char=".">3.2</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">2.6</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">B. Trap mammalian predators, including raccoons, to increase nesting success of tidal marsh birds</td>
<td valign="top" align="char" char=".">50,000</td>
<td valign="top" align="char" char=".">99</td>
<td valign="top" align="char" char=".">51</td>
<td valign="top" align="char" char=".">9</td>
<td valign="top" align="char" char=".">4</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">2.6</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">C. Reduce deer population</td>
<td valign="top" align="char" char=".">10,000</td>
<td valign="top" align="char" char=".">99</td>
<td valign="top" align="char" char=".">51</td>
<td valign="top" align="char" char=".">9</td>
<td valign="top" align="char" char=".">4.1</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">2.6</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">D. Remove <italic>Phragmites</italic> on fringe of marsh unit</td>
<td valign="top" align="char" char=".">150,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">51</td>
<td valign="top" align="char" char=".">9</td>
<td valign="top" align="char" char=".">3.6</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">2.6</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">360</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">E. Reduce disturbance through refuge permits</td>
<td valign="top" align="char" char=".">7,800</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">51</td>
<td valign="top" align="char" char=".">9</td>
<td valign="top" align="char" char=".">3.6</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">2.6</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<th valign="middle" colspan="12" align="char" char="." style="border-top: solid 0.50pt; border-bottom: solid 0.50pt" scope="col">Fisherman Island West Marsh</th>
</tr>
<tr>
<td valign="top" align="left" scope="row">A. No action</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="char" char=".">99</td>
<td valign="top" align="char" char=".">172</td>
<td valign="top" align="char" char=".">16</td>
<td valign="top" align="char" char=".">7.5</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">20</td>
<td valign="top" align="char" char=".">3</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">B. Trap mammalian predators, including raccoons, to increase nesting success of tidal marsh birds</td>
<td valign="top" align="char" char=".">50,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">172</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">8.5</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">20</td>
<td valign="top" align="char" char=".">3</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">C. Reduce deer population</td>
<td valign="top" align="char" char=".">10,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">172</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">8.9</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">20</td>
<td valign="top" align="char" char=".">3</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">D. Install six road culverts or bridges and control invasive plants</td>
<td valign="top" align="char" char=".">6,000,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">110</td>
<td valign="top" align="char" char=".">11</td>
<td valign="top" align="char" char=".">10</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">3</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">60</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">E. Remove <italic>Phragmites</italic> on inland pond and fringing marsh unit</td>
<td valign="top" align="char" char=".">25,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">172</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">8.5</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">20</td>
<td valign="top" align="char" char=".">3</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">F. Install living shoreline to protect dunes and prevent breaches into marsh</td>
<td valign="top" align="char" char=".">5,000,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">172</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">8.4</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">20</td>
<td valign="top" align="char" char=".">3</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">G. Remove invasive plants in upland adjacent to marsh</td>
<td valign="top" align="char" char=".">10,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">172</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">8.4</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">20</td>
<td valign="top" align="char" char=".">3</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">H. Reduce disturbance through refuge permits</td>
<td valign="top" align="char" char=".">7,800</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">172</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">8.5</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">20</td>
<td valign="top" align="char" char=".">3</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">I. Dig runnels by hand</td>
<td valign="top" align="char" char=".">9,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">157</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">8.6</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">10</td>
<td valign="top" align="char" char=".">3</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">J. Dig runnels using machine</td>
<td valign="top" align="char" char=".">26,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">124</td>
<td valign="top" align="char" char=".">13</td>
<td valign="top" align="char" char=".">8.9</td>
<td valign="top" align="char" char=".">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">8</td>
<td valign="top" align="char" char=".">3</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" style="border-bottom: solid 0.50pt" scope="row">K. D+J</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">6,026,000</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">100</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">87</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">9</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">9.3</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">Medium</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">30</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">0</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">3</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">1</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">60</td>
</tr>
</tbody></table>
<table-wrap-foot>
<fn id="t03n1"><label><sup>1</sup></label><p>Relative abundance for refuges during wintering waterfowl season.</p></fn>
<fn id="t03n2"><label><sup>2</sup></label><p>Measures absolute deviation from reference point representing ideal condition.</p></fn>
<fn id="t03n3"><label><sup>3</sup></label><p>Measures change relative to sea-level rise: 0, lower than sea-level rise; 1, above sea-level rise.</p></fn></table-wrap-foot>
</table-wrap>
<p>Following the workshop, the potential management benefit of each salt marsh integrity performance metric was calculated by converting salt marsh integrity metric scores (<xref ref-type="table" rid="t03">table&#x00A0;3</xref>, workshop output) to weighted utilities (<xref ref-type="table" rid="t04">table&#x00A0;4</xref>) using regional value functions (<xref ref-type="app" rid="a2">app.&#x00A0;2</xref>). Weighted utilities were summed across all salt marsh integrity metrics for each action; this overall utility therefore represented the total management benefit, across all objectives, expected to accrue from a given management action (<xref ref-type="table" rid="t04">table&#x00A0;4</xref>). Constrained optimization (<xref ref-type="bibr" rid="r-1-2">Conroy and Peterson, 2013</xref>) was used to find the management portfolio (the combination of actions, one action per marsh management unit) that maximizes the total management benefit across all units under varying cost scenarios for the combined refuges. Constrained optimization using integer linear programming was implemented in the Solver tool in Microsoft Excel (<xref ref-type="bibr" rid="r-1-15">Kirkwood, 1997</xref>). Budget constraints were increased in $25,000 increments up to $50,000; in $50,000 increments up to $300,000; in $100,000 increments up to $1 million; in $500,000 increments up to $3 million; and in $1 million increments thereafter. The upper limit to potential costs was not determined in advance; rather, it reflected the total estimated costs of the proposed management actions. A cost-benefit plot of the portfolios identified through the optimization analysis was used to identify the efficient frontier for resource allocation (<xref ref-type="bibr" rid="r-1-14">Keeney and Raiffa, 1993</xref>), which is the set of portfolios that are not dominated by other portfolios at similar costs (or the set of portfolios with maximum total benefit for a similar cost). The cost-benefit plot also revealed the cost above which further expenditures would yield diminishing returns on investment. To exemplify use of the decision-making framework to understand how a given portfolio could affect specific management objectives, the refuge-scale management benefits for individual performance metrics were compared between one optimal portfolio and those predicted with no management action taken.</p>
<table-wrap id="t04" orientation="landscape" position="float">
<label>Table 4</label><caption><title>Normalized predicted outcomes and estimated total management benefits of possible management actions within six marsh management units at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges, Virginia.</title>
<p content-type="toc">Table 4.&#x2003;Normalized predicted outcomes and estimated total management benefits of possible management actions within six marsh management units at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges, Virginia</p>
<p>[Numeric table entries are weighted utilities, which were calculated as raw utilities multiplied by objective weights. Unitless raw utilities were derived from metric scores (<xref ref-type="table" rid="t03">table&#x00A0;3</xref>) using existing regional value functions (<xref ref-type="app" rid="a2">app.&#x00A0;2</xref>). Objective weights for individual metrics were calculated as the product of the weights on the branch of the objectives hierarchy leading to each metric (<xref ref-type="table" rid="t01">table&#x00A0;1</xref>). The total management benefit for each action is the sum of weighted utilities across all performance metrics]</p>
</caption>
<table rules="groups">
<col width="18.88%"/>
<col width="8.27%"/>
<col width="6.31%"/>
<col width="6.72%"/>
<col width="6.68%"/>
<col width="7.55%"/>
<col width="6.55%"/>
<col width="7.12%"/>
<col width="6.71%"/>
<col width="7.42%"/>
<col width="8.54%"/>
<col width="9.25%"/>
<thead>
<tr>
<td rowspan="3" valign="middle" align="center" scope="col" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Management action</td>
<td valign="middle" colspan="10" align="center" scope="colgroup" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Performance metrics</td>
<td rowspan="3" valign="middle" align="center" scope="col" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Total management benefit</td>
</tr>
<tr>
<td rowspan="2" valign="middle" colspan="1" align="center" scope="colgroup" style="border-bottom: solid 0.50pt">Native vegetation</td>
<td valign="middle" colspan="2" align="center" scope="colgroup" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Nekton</td>
<td rowspan="2" valign="middle" align="center" scope="col" style="border-bottom: solid 0.50pt">Tidal marsh obligate birds</td>
<td rowspan="2" valign="middle" align="center" scope="col" style="border-bottom: solid 0.50pt">American black ducks</td>
<td rowspan="2" valign="middle" align="center" scope="col" style="border-bottom: solid 0.50pt">Spider density</td>
<td valign="middle" colspan="2" align="center" scope="colgroup" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Hydrology</td>
<td rowspan="2" valign="middle" align="center" scope="col" style="border-bottom: solid 0.50pt">Marsh surface elevation change</td>
<td rowspan="2" valign="middle" align="center" scope="col" style="border-bottom: solid 0.50pt">Herbicide application</td>
</tr>
<tr>
<td valign="middle" colspan="1" align="center" scope="colgroup" style="border-bottom: solid 0.50pt">Density</td>
<td valign="middle" align="center" scope="col" style="border-bottom: solid 0.50pt">Species richness</td>
<td valign="middle" colspan="1" align="center" scope="colgroup" style="border-bottom: solid 0.50pt">Duration of surface flooding</td>
<td valign="middle" align="center" scope="col" style="border-bottom: solid 0.50pt">Surface-water salinity</td>
</tr>
</thead>
<tbody>
<tr>
<th valign="middle" colspan="12" align="center" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt" scope="col">Bull Marsh</th>
</tr>
<tr>
<td valign="top" align="left" scope="row">A. No action</td>
<td valign="top" align="char" char=".">0.119</td>
<td valign="top" align="char" char=".">0.028</td>
<td valign="top" align="char" char=".">0.020</td>
<td valign="top" align="char" char=".">0.035</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.108</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.865</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">B. Remove road and control any resulting invasive species</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.032</td>
<td valign="top" align="char" char=".">0.028</td>
<td valign="top" align="char" char=".">0.055</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.059</td>
<td valign="top" align="char" char=".">0.899</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">C. Breach road in four places and control any resulting invasive species</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.030</td>
<td valign="top" align="char" char=".">0.025</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.885</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">D. Lower road elevation</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.029</td>
<td valign="top" align="char" char=".">0.023</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.882</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">E. Remove <italic>Phragmites</italic> in western edge of unit and field</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.028</td>
<td valign="top" align="char" char=".">0.020</td>
<td valign="top" align="char" char=".">0.036</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.108</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.050</td>
<td valign="top" align="char" char=".">0.857</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">F. Facilitate marsh migration by leveling berms and ditches west of unit and controlling invasive plants</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.028</td>
<td valign="top" align="char" char=".">0.020</td>
<td valign="top" align="char" char=".">0.035</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.058</td>
<td valign="top" align="char" char=".">0.866</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">G. Create more pools and runnels</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.034</td>
<td valign="top" align="char" char=".">0.023</td>
<td valign="top" align="char" char=".">0.035</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.108</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.829</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">H. Trap mammalian predators, including <italic>Procyon lotor</italic> (raccoon), to increase nesting success of tidal marsh birds</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.028</td>
<td valign="top" align="char" char=".">0.020</td>
<td valign="top" align="char" char=".">0.040</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.108</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.871</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">I. Reduce disturbance through refuge permits</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.028</td>
<td valign="top" align="char" char=".">0.020</td>
<td valign="top" align="char" char=".">0.037</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.108</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.868</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">J. Acquire land and control <italic>Phragmites</italic></td>
<td valign="top" align="char" char=".">0.119</td>
<td valign="top" align="char" char=".">0.035</td>
<td valign="top" align="char" char=".">0.025</td>
<td valign="top" align="char" char=".">0.036</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.055</td>
<td valign="top" align="char" char=".">0.876</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">K. Install three culverts in road and control invasive plants</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.030</td>
<td valign="top" align="char" char=".">0.025</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.884</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">L. B+G</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.039</td>
<td valign="top" align="char" char=".">0.031</td>
<td valign="top" align="char" char=".">0.057</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.108</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.865</td>
</tr>
<tr>
<th valign="middle" colspan="12" align="char" char="." style="border-top: solid 0.50pt; border-bottom: solid 0.50pt" scope="col">Skidmore S</th>
</tr>
<tr>
<td valign="top" align="left" scope="row">A. No action</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.006</td>
<td valign="top" align="char" char=".">0.017</td>
<td valign="top" align="char" char=".">0.007</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.063</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.722</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">B. Create islands for marsh bird nesting using dredge spoils</td>
<td valign="top" align="char" char=".">0.119</td>
<td valign="top" align="char" char=".">0.006</td>
<td valign="top" align="char" char=".">0.017</td>
<td valign="top" align="char" char=".">0.010</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.081</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.743</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">C. Apply broad-scale sediment to marsh platform to lower flood duration</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.005</td>
<td valign="top" align="char" char=".">0.017</td>
<td valign="top" align="char" char=".">0.010</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.817</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">D. Remove <italic>Phragmites</italic> on uplands and marsh edge</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.006</td>
<td valign="top" align="char" char=".">0.017</td>
<td valign="top" align="char" char=".">0.007</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.063</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.057</td>
<td valign="top" align="char" char=".">0.720</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">E. Trap mammalian predators, including raccoons, to increase nesting success of tidal marsh birds</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.006</td>
<td valign="top" align="char" char=".">0.017</td>
<td valign="top" align="char" char=".">0.012</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.063</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.728</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">F. B+E</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.006</td>
<td valign="top" align="char" char=".">0.017</td>
<td valign="top" align="char" char=".">0.020</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.081</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.753</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">G. B+C+E</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.005</td>
<td valign="top" align="char" char=".">0.017</td>
<td valign="top" align="char" char=".">0.030</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.837</td>
</tr>
<tr>
<th valign="middle" colspan="12" align="char" char="." style="border-top: solid 0.50pt; border-bottom: solid 0.50pt" scope="col">ESV Marsh</th>
</tr>
<tr>
<td valign="top" align="left" scope="row">A. No action</td>
<td valign="top" align="char" char=".">0.119</td>
<td valign="top" align="char" char=".">0.031</td>
<td valign="top" align="char" char=".">0.023</td>
<td valign="top" align="char" char=".">0.057</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.849</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">B. Trap mammalian predators, including raccoons, to increase nesting success of tidal marsh birds</td>
<td valign="top" align="char" char=".">0.119</td>
<td valign="top" align="char" char=".">0.031</td>
<td valign="top" align="char" char=".">0.023</td>
<td valign="top" align="char" char=".">0.061</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.854</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">C. Reduce deer population</td>
<td valign="top" align="char" char=".">0.119</td>
<td valign="top" align="char" char=".">0.031</td>
<td valign="top" align="char" char=".">0.023</td>
<td valign="top" align="char" char=".">0.061</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.854</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">D. Remove Wise Point Road and control invasive plants</td>
<td valign="top" align="char" char=".">0.119</td>
<td valign="top" align="char" char=".">0.031</td>
<td valign="top" align="char" char=".">0.023</td>
<td valign="top" align="char" char=".">0.059</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.056</td>
<td valign="top" align="char" char=".">0.848</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">E. Remove water control structure on Wise Point Road and control invasive plants</td>
<td valign="top" align="char" char=".">0.119</td>
<td valign="top" align="char" char=".">0.031</td>
<td valign="top" align="char" char=".">0.023</td>
<td valign="top" align="char" char=".">0.059</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.059</td>
<td valign="top" align="char" char=".">0.851</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">F. Remove <italic>Phragmites</italic> on Wise Point Road and fringing marsh unit</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.031</td>
<td valign="top" align="char" char=".">0.023</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.057</td>
<td valign="top" align="char" char=".">0.895</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">G. Reduce disturbance through refuge permits</td>
<td valign="top" align="char" char=".">0.119</td>
<td valign="top" align="char" char=".">0.031</td>
<td valign="top" align="char" char=".">0.023</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.853</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">H. B+C</td>
<td valign="top" align="char" char=".">0.119</td>
<td valign="top" align="char" char=".">0.031</td>
<td valign="top" align="char" char=".">0.023</td>
<td valign="top" align="char" char=".">0.066</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.859</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">I. Dig runnels by hand</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.043</td>
<td valign="top" align="char" char=".">0.042</td>
<td valign="top" align="char" char=".">0.086</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.956</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">J. Dig runnels using machine</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.038</td>
<td valign="top" align="char" char=".">0.037</td>
<td valign="top" align="char" char=".">0.089</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.949</td>
</tr>
<tr>
<th valign="middle" colspan="12" align="char" char="." style="border-top: solid 0.50pt; border-bottom: solid 0.50pt" scope="col">Raccoon</th>
</tr>
<tr>
<td valign="top" align="left" scope="row">A. No action</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.031</td>
<td valign="top" align="char" char=".">0.031</td>
<td valign="top" align="char" char=".">0.020</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.088</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.000</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.579</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">B. Trap mammalian predators, including raccoons, to increase nesting success of tidal marsh birds</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.031</td>
<td valign="top" align="char" char=".">0.031</td>
<td valign="top" align="char" char=".">0.028</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.088</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.000</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.588</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">C. Remove <italic>Phragmites</italic> on south end of marsh unit</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.031</td>
<td valign="top" align="char" char=".">0.031</td>
<td valign="top" align="char" char=".">0.028</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.088</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.000</td>
<td valign="top" align="char" char=".">0.056</td>
<td valign="top" align="char" char=".">0.584</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">D. Install living shoreline</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.038</td>
<td valign="top" align="char" char=".">0.031</td>
<td valign="top" align="char" char=".">0.028</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.088</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.859</td>
</tr>
<tr>
<th valign="middle" colspan="12" align="char" char="." style="border-top: solid 0.50pt; border-bottom: solid 0.50pt" scope="col">Fisherman Island East Marsh</th>
</tr>
<tr>
<td valign="top" align="left" scope="row">A. No action</td>
<td valign="top" align="char" char=".">0.119</td>
<td valign="top" align="char" char=".">0.021</td>
<td valign="top" align="char" char=".">0.025</td>
<td valign="top" align="char" char=".">0.032</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.862</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">B. Trap mammalian predators, including raccoons, to increase nesting success of tidal marsh birds</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.021</td>
<td valign="top" align="char" char=".">0.025</td>
<td valign="top" align="char" char=".">0.040</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.871</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">C. Reduce deer population</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.021</td>
<td valign="top" align="char" char=".">0.025</td>
<td valign="top" align="char" char=".">0.041</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.872</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">D. Remove <italic>Phragmites</italic> on fringe of marsh unit</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.021</td>
<td valign="top" align="char" char=".">0.025</td>
<td valign="top" align="char" char=".">0.036</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.000</td>
<td valign="top" align="char" char=".">0.807</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">E. Reduce disturbance through refuge permits</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.021</td>
<td valign="top" align="char" char=".">0.025</td>
<td valign="top" align="char" char=".">0.036</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.867</td>
</tr>
<tr>
<th valign="middle" colspan="12" align="char" char="." style="border-top: solid 0.50pt; border-bottom: solid 0.50pt" scope="col">Fisherman Island West Marsh</th>
</tr>
<tr>
<td valign="top" align="left" scope="row">A. No action</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.073</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.868</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">B. Trap mammalian predators, including raccoons, to increase nesting success of tidal marsh birds</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.042</td>
<td valign="top" align="char" char=".">0.085</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.073</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.876</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">C. Reduce deer population</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.042</td>
<td valign="top" align="char" char=".">0.089</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.073</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.880</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">D. Install six road culverts or bridges and control invasive plants</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.036</td>
<td valign="top" align="char" char=".">0.031</td>
<td valign="top" align="char" char=".">0.100</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.050</td>
<td valign="top" align="char" char=".">0.942</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">E. Remove <italic>Phragmites</italic> on inland pond and fringing marsh unit</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.042</td>
<td valign="top" align="char" char=".">0.085</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.073</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.876</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">F. Install living shoreline to protect dunes and prevent breaches into marsh</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.042</td>
<td valign="top" align="char" char=".">0.084</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.073</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.875</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">G. Remove invasive plants in upland adjacent to marsh</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.042</td>
<td valign="top" align="char" char=".">0.084</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.073</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.875</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">H. Reduce disturbance through refuge permits</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.042</td>
<td valign="top" align="char" char=".">0.085</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.073</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.876</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">I. Dig runnels by hand</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.043</td>
<td valign="top" align="char" char=".">0.042</td>
<td valign="top" align="char" char=".">0.086</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.956</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">J. Dig runnels using machine</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.038</td>
<td valign="top" align="char" char=".">0.037</td>
<td valign="top" align="char" char=".">0.089</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.090</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.110</td>
<td valign="top" align="char" char=".">0.220</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.949</td>
</tr>
<tr>
<td valign="top" align="left" style="border-bottom: solid 0.50pt" scope="row">K. D+J</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">0.120</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">0.031</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">0.025</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">0.093</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">0.075</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">0.090</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">0.110</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">0.110</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">0.220</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">0.050</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">0.924</td>
</tr>
</tbody></table></table-wrap>
</sec>
<sec>
<title>Results of Constrained Optimization</title>
<p>Potential management actions identified to improve marsh integrity at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges included trapping mammalian predators to increase the nesting success of tidal marsh birds; controlling <italic>Phragmites</italic> at the edges of the marsh management units; digging runnels, or shallow creeks, to enhance surface-water drainage; and restoring natural hydrology through breaching roads or installing culverts (<xref ref-type="table" rid="t03">table&#x00A0;3</xref>). For costs ranging from $0 to $6.03 million, the estimated management benefits for individual actions across all metrics, measured as weighted utilities, ranged from 0.579 (for implementing no action in the Raccoon management unit) to 0.956 (for digging runnels by hand in the ESV Marsh and Fisherman Island West Marsh management units), out of a maximum possible total management benefit of 1.0 (<xref ref-type="table" rid="t03">table&#x00A0;3</xref>, <xref ref-type="table" rid="t04">table&#x00A0;4</xref>). In two marsh management units (Raccoon, Fisherman Island West Marsh), the alternative with both the lowest management benefit and lowest cost was the &#x201C;no action&#x201D; alternative (management action A). However, in four marsh management units, implementing certain management actions (using herbicides to control invasive plants in Bull Marsh, Skidmore S, ESV Marsh, and Fisherman Island East Marsh; creating more pools and runnels in Bull Marsh) was predicted to yield a lower total management benefit than implementing no management action.</p>
<p>Constrained optimization was applied to identify the optimal management portfolios over 5 years for a range of total costs to the refuges&#x2019; administration. As total cost increased from $0 (no action in any unit) to approximately $3 million, the total management benefit at the refuge scale increased from 4.746 to 5.379 (a 13-percent increase; <xref ref-type="table" rid="t05">table&#x00A0;5</xref>) out of a possible maximum of 6.0 (the maximum possible management benefit of 1.0 for any management action, summed across the six marsh management units). Further increases in the budget constraint yielded the same management portfolio (that is, portfolio 8, <xref ref-type="table" rid="t05">table&#x00A0;5</xref>). Graphical analysis showed a fairly consistent increase in management benefit as costs increased to $143,000 (<xref ref-type="fig" rid="fig03">fig.&#x00A0;3</xref>, portfolio 5). Portfolio 5 represented the turning point in the cost-benefit plot. As expenditures increased beyond the cost of portfolio 5, total management benefit continued to increase but at a lower rate, yielding diminishing returns on investment (<xref ref-type="fig" rid="fig03">fig.&#x00A0;3</xref>).</p>
<table-wrap id="t05" position="float">
<label>Table 5</label><caption><title>Actions included in various management portfolios to maximize the total management benefits subject to increasing cost constraints at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges, Virginia.</title>
<p content-type="toc">Table 5.&#x2003;Actions included in various management portfolios to maximize the total management benefits subject to increasing cost constraints at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges, Virginia</p>
<p>[Letter designations for actions refer to specific actions and are listed in <xref ref-type="table" rid="t03">table&#x00A0;3</xref> and <xref ref-type="table" rid="t04">table&#x00A0;4</xref>. Portfolios represent the combination of potential actions, one per marsh management unit, that maximized the total management benefit across all units, subject to a refuge-wide cost constraint. The management actions constituting individual portfolios were selected using constrained optimization. The total cost represents the sum of costs estimated for each action included in the portfolio. The maximum possible total management benefit for the combined refuges is 6.0, derived as the maximum possible total management benefit of 1.0 for any management action within one management unit, summed across six units.]</p>
</caption>
<table rules="groups">
<col width="10.56%"/>
<col width="11.79%"/>
<col width="10.33%"/>
<col width="10.29%"/>
<col width="10.29%"/>
<col width="11.21%"/>
<col width="11.21%"/>
<col width="11.15%"/>
<col width="13.17%"/>
<thead>
<tr>
<td rowspan="2" valign="middle" align="center" scope="col" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Portfolio</td>
<td valign="middle" colspan="6" align="center" scope="colgroup" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Marsh management unit</td>
<td rowspan="2" valign="middle" align="center" scope="col" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Total cost (dollars)</td>
<td rowspan="2" valign="middle" align="center" scope="col" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Total management benefit</td>
</tr>
<tr>
<td valign="middle" colspan="1" align="center" scope="colgroup" style="border-bottom: solid 0.50pt">Bull Marsh</td>
<td valign="middle" align="center" scope="col" style="border-bottom: solid 0.50pt">Skidmore S</td>
<td valign="middle" align="center" scope="col" style="border-bottom: solid 0.50pt">ESV Marsh</td>
<td valign="middle" align="center" scope="col" style="border-bottom: solid 0.50pt">Raccoon</td>
<td valign="middle" align="center" scope="col" style="border-bottom: solid 0.50pt">Fisherman Island East Marsh</td>
<td valign="middle" align="center" scope="col" style="border-bottom: solid 0.50pt">Fisherman Island West Marsh</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="center" style="border-left: solid 0.50pt; border-top: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt" scope="row">1</td>
<td valign="top" align="center" style="border-top: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt">A</td>
<td valign="top" align="center" style="border-top: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt">A</td>
<td valign="top" align="center" style="border-top: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt">A</td>
<td valign="top" align="center" style="border-top: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt">A</td>
<td valign="top" align="center" style="border-top: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt">A</td>
<td valign="top" align="center" style="border-top: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt">A</td>
<td valign="top" align="right" style="border-top: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt">0</td>
<td valign="top" align="char" char="." style="border-top: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt">4.746</td>
</tr>
<tr>
<td valign="top" align="center" style="border-left: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt" scope="row">2</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">A</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">A</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">I</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">B</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">A</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">I</td>
<td valign="top" align="right" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">23,000</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">4.950</td>
</tr>
<tr>
<td valign="top" align="center" style="border-left: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt" scope="row">3</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">C</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">A</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">I</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">A</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">C</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">I</td>
<td valign="top" align="right" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">48,000</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">4.971</td>
</tr>
<tr>
<td valign="top" align="center" style="border-left: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt" scope="row">4</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">C</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">B</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">I</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">B</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">C</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">I</td>
<td valign="top" align="right" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">83,000</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">4.999</td>
</tr>
<tr>
<td valign="top" align="center" style="border-left: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt" scope="row">5</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">C</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">C</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">I</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">B</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">C</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">I</td>
<td valign="top" align="right" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">143,000</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">5.074</td>
</tr>
<tr>
<td valign="top" align="center" style="border-left: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt" scope="row">6</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">C</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">G</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">I</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">B</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">C</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">I</td>
<td valign="top" align="right" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">223,000</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">5.094</td>
</tr>
<tr>
<td valign="top" align="center" style="border-left: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt" scope="row">7</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">B</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">G</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">I</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">B</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">C</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">I</td>
<td valign="top" align="right" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">453,000</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">5.108</td>
</tr>
<tr>
<td valign="top" align="center" style="border-left: solid 0.50pt; border-top: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt" scope="row">8</td>
<td valign="top" align="center" style="border-top: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt">B</td>
<td valign="top" align="center" style="border-top: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt">G</td>
<td valign="top" align="center" style="border-top: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt">I</td>
<td valign="top" align="center" style="border-top: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt">D</td>
<td valign="top" align="center" style="border-top: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt">C</td>
<td valign="top" align="center" style="border-top: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt">I</td>
<td valign="top" align="right" style="border-top: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt">2,948,000</td>
<td valign="top" align="char" char="." style="border-top: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt">5.379</td>
</tr>
</tbody></table></table-wrap>
<p>The potential management actions selected within the set of portfolios that yielded the greatest total management benefit per unit cost (<xref ref-type="table" rid="t05">table&#x00A0;5</xref>, portfolios 2 through 5) largely differed across the marsh management units. In two marsh management units (ESV Marsh and Fisherman Island West Marsh), these portfolios always included hand-dug runnels as the optimum management action. In the other marsh management units these portfolios included breaching a road to restore natural hydrology (Bull Marsh); creating islands for marsh-nesting birds or spreading sediment to raise marsh elevation (Skidmore S); trapping predators to enhance nest success of tidal marsh obligate birds (Raccoon); and reducing the abundance of deer to minimize their effects on marsh vegetation (Fisherman Island East Marsh). Some potential management actions were never included in the portfolios yielding the greatest benefit per cost. For example, although applying herbicide to remove <italic>Phragmites</italic> was identified to improve the integrity of all marsh management units, this action was never selected. Similarly, reducing disturbance to the marsh by adding restrictions to refuge permits was suggested as a possible action in four marsh management units, but predicted benefits (increases in numbers of tidal marsh obligate birds) were low and this action was never included in an optimal portfolio.</p>
<fig id="fig03" position="float" fig-type="figure"><?Figure Large?><label>Figure 3</label><caption><p>Graph showing predicted total management benefit of various portfolios, expressed as weighted utilities, relative to total cost at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges in Virginia. Each portfolio (dot with number) represents a combination of six management actions, one per marsh management unit, as identified in <xref ref-type="table" rid="t05">table&#x00A0;5</xref>. The line represents the efficient frontier for resource allocation.</p><p content-type="toc">Figure 3.&#x2003;Graph showing predicted total management benefit of various portfolios, expressed as weighted utilities, relative to total cost at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges in Virginia</p></caption>
<long-desc>Total management benefit increases rapidly up to about 140,000 dollars total cost, and after increases slowly.</long-desc><graphic xlink:href="pem18-0079_fig03"/></fig>
<p>Examination of the refuge-scale metric responses to actions included in portfolio 5, which is the turning point in the cost-benefit plot (<xref ref-type="fig" rid="fig03">fig.&#x00A0;3</xref>), revealed how implementation could affect specific management objectives. The actions included were predicted to achieve gains in the overall management benefits derived from density of spiders (as an indicator of trophic health), number of tidal marsh obligate breeding birds, species richness of nekton, and reduced flooding duration (<xref ref-type="fig" rid="fig04">fig.&#x00A0;4</xref>). Ecologically, the combination of actions in portfolio 5 may result in the following average changes (derived as the relative difference between the predicted metric scores for the actions implemented in portfolio 5 and the &#x201C;no-action&#x201D; alternative within each marsh management unit, averaged across all units; <xref ref-type="table" rid="t03">table&#x00A0;3</xref>): a 77-percent increase in tidal marsh obligate bird counts, a 39-percent decrease in the deviation of surface flooding from the ideal reference condition, an 18-percent increase in nekton species richness, and a 50-percent increase in spider density. The management benefits predicted for portfolios 2 through 4, at total costs up to $83,000, were derived primarily from expected improvements in surface-water drainage, and presumed increases in densities of spiders and numbers of tidal marsh obligate birds (<xref ref-type="table" rid="t03">table&#x00A0;3</xref>, <xref ref-type="table" rid="t04">table&#x00A0;4</xref>).</p>
<fig id="fig04" position="float" fig-type="figure"><?Figure Large?><label>Figure 4</label><caption><p>Bar chart showing predicted management benefit at the refuge scale for individual performance metrics, expressed as weighted utilities, resulting from implementation of the management actions included in portfolio 5, in comparison to the management benefit from the baseline &#x201C;no-action&#x201D; portfolio, at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges in Virginia. The actions included in each portfolio are listed in <xref ref-type="table" rid="t05">table&#x00A0;5</xref>.</p><p content-type="toc">Figure 4.&#x2003;Bar chart of predicted management benefit of portfolio 5 in comparison to the management benefit from the baseline &#x201C;no-action&#x201D; portfolio at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges in Virginia</p></caption>
<long-desc>Portfolio 5 has equal or higher management benefit over the no action portfolio for all metrics.</long-desc><graphic xlink:href="pem18-0079_fig04"/></fig>
</sec>
<sec>
<title>Considerations for Optimizing Salt Marsh Management</title>
<p>A regional structured decision-making framework for salt marshes on NWRs in the northeastern United States was applied by the USGS, in cooperation with the FWS, to develop a tool for optimizing management decisions at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges. Use of the existing regional framework and a rapid-prototyping approach permitted NWR biologists and managers, FWS regional authorities, and research scientists to construct a decision model for the refuges within the confines of a 1.5-day workshop. This preliminary prototype provides a local framework for decision making while revealing information needs for future iterations. Insights from this process may also be useful to inform future habitat management planning at the refuges.</p>
<p>The suite of potential management actions and predicted outcomes included in this prototype (<xref ref-type="table" rid="t03">table&#x00A0;3</xref>) were based on current understanding of the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuge salt marshes and hypothesized process-response pathways (<xref ref-type="app" rid="a1">app.&#x00A0;1</xref>). Tidal flooding is the predominant physical control on the structure and function of salt marsh ecosystems (<xref ref-type="bibr" rid="r-1-21">Pennings and Bertness, 2001</xref>), and there is widespread scientific effort to elucidate how salt marshes may respond to accelerating rates of sea-level rise and management strategies to enhance their sustainability (<xref ref-type="bibr" rid="r-1-16">Kirwan and Megonigal, 2013</xref>; <xref ref-type="bibr" rid="r-1-26">Roman, 2017</xref>). Management interventions frequently proposed to mitigate effects of increased inundation on coastal marsh soils include increasing marsh drainage and raising marsh elevation (<xref ref-type="bibr" rid="r-1-31">Wigand and others, 2017</xref>). In this prototype, digging runnels by hand to improve drainage of the marsh platform (in ESV Marsh and Fisherman Island West Marsh management units) and broad-scale deposition of sediments to raise marsh elevation (Skidmore S management unit) were predicted to yield similar increases in total management benefit, but sediment deposition was an order of magnitude more costly (that is, $90,000 compared to $9,000; <xref ref-type="table" rid="t03">table&#x00A0;3</xref>, <xref ref-type="table" rid="t04">table&#x00A0;4</xref>). Multiple, interacting factors influence the long-term success of restoration actions in prolonging marsh integrity and improving marsh resilience, and ecosystem responses may depend on site-specific factors (<xref ref-type="bibr" rid="r-1-26">Roman, 2017</xref>; <xref ref-type="bibr" rid="r-1-24">Raposa and others, 2018</xref>; <xref ref-type="bibr" rid="r-1-22">Perry and others, in press</xref>). Future iterations of this decision model can incorporate improved understanding of both implementation costs and marsh responses to management actions. In addition, during construction of the regional decision model, lack of widely available data on rates of vertical marsh growth led to the adoption of a very coarse scale of measurement for change in marsh surface elevation relative to sea-level rise (<xref ref-type="table" rid="t01">table&#x00A0;1</xref>). In 2012, surface elevation tables (<xref ref-type="bibr" rid="r-1-17">Lynch and others, 2015</xref>) were installed in each marsh management unit to obtain high-resolution measurements of change in marsh surface elevation. Incorporating this information into subsequent iterations of this structured decision-making framework would likely improve predictions related to the potential for marsh surface elevation to keep pace with sea-level rise.</p>
<p>Results of constrained optimizations (<xref ref-type="table" rid="t05">table&#x00A0;5</xref>) based on the objectives, management actions, and predicted outcomes included in this prototype identified four areas in which to improve the utility of the prototype for refuge decision making. First, although minimizing the spread of <italic>Phragmites</italic> is a management concern at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges, removing <italic>Phragmites</italic> through use of herbicides was not selected for any optimal portfolio. The transparency of the structured decision-making framework reveals the tradeoffs associated with applying herbicide to reduce the spread of invasive plants. In most instances, controlling invasive plants was predicted to increase the percent cover of native vegetation and the abundance of tidal marsh obligate birds (<xref ref-type="table" rid="t03">table&#x00A0;3</xref>) and the management benefits associated with achieving these specific objectives (<xref ref-type="table" rid="t04">table&#x00A0;4</xref>). However, spraying herbicide, which is a potential environmental contaminant, had direct negative consequences on the objective to minimize herbicide use and often resulted in a net decrease in the total management benefit (<xref ref-type="table" rid="t04">table&#x00A0;4</xref>). Thus, the benefits associated with use of herbicide to reduce invasive plants may not offset the negative value of applying environmental contaminants. These results emphasize the importance that refuge managers have placed on reducing spread of invasive plants through various methods, including mechanical control and prescribed burning (<xref ref-type="bibr" rid="r-1-4">Denmon, 2018</xref>). This prototype could be adapted to allow managers to evaluate the relative expected benefits and detriments of chemical and other control methods.</p>
<p>Second, the habitat management plan for the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges identifies seaside sparrows as a priority resource of concern in salt marsh habitat (<xref ref-type="bibr" rid="r-1-4">Denmon, 2018</xref>). These birds nest primarily in smooth cordgrass cover characteristic of the low marsh zone, where the tall vegetation allows relatively high nest placement that minimizes risks of tidal inundation (<xref ref-type="bibr" rid="r-1-8">Gjerdrum and others, 2005</xref>). However, nest predation increases with nest height, and recent studies suggest that as sea-level rise increases the vulnerability of nests to tidal flooding, predator control may be required to maintain viability of seaside sparrow populations (<xref ref-type="bibr" rid="r-1-12">Hunter, 2017</xref>; <xref ref-type="bibr" rid="r-1-25">Roberts and others, 2019</xref>). In this prototype, trapping predators to enhance nest success of tidal marsh birds was predicted to improve the total management benefit in all marsh management units; however, this action was included in an optimal management portfolio for the Raccoon management unit only, where the estimated cost of implementation was lowest. Therefore, managers may want to explore alternative approaches to reduce nest predation, such as fencing around individual nests (<xref ref-type="bibr" rid="r-1-23">Post and Greenlaw, 1989</xref>), in future prototypes.</p>
<p>Third, although loss of marsh area through shoreline erosion is a concern in the Raccoon and Fisherman Island West Marsh management units, reducing wave action through construction of living shorelines (plants or other natural elements for shoreline stabilization) was excluded from all but the costliest optimal portfolio. Living shorelines may be cost prohibitive at these refuges. Additionally, deconstructing the objective of maintaining the extent of the marsh platform into subordinate objectives and performance metrics related to both horizontal and vertical gains and losses of marsh substrate may help focus decision making on erosion of marsh edges as a driver of marsh area.</p>
<p>Finally, the constrained optimizations analyzed in this report were based on estimations of management costs. As salt marsh management is undertaken around the northeast region, a detailed list of actual expenses can be compiled, including staff time for project planning as well as materials, equipment, contracts, and staff time for implementation. For example, <xref ref-type="bibr" rid="r-1-13">Iacona and others (2018)</xref> recommended a standardized approach for summarizing and reporting financial costs of management interventions. This could allow future iterations of this decision model to include more accurate cost estimates, while contributing information to help others identify cost-effective salt marsh management techniques.</p>
<p>The prototype model for the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges provides a useful tool for decision making that can be updated in the future with new data and information. The spatial and temporal variability inherent in parameter estimates were not quantified during rapid prototyping. Previously, preliminary sensitivity analysis revealed little effect of incorporating ecological variation in abundance of marsh-obligate breeding birds on the optimal solutions for Prime Hook National Wildlife Refuge (<xref ref-type="bibr" rid="r-1-20">Neckles and others, 2015</xref>). This lends confidence to use of this framework for decision making; however, including probability distributions for each performance metric in the decision model could be a high priority for future prototypes. Future monitoring of salt marsh integrity performance metrics will be useful to refine baseline parameter estimates and to determine the background rate of change in the absence of management actions; feedback from measured responses to management actions around the region will help reduce uncertainties surrounding management predictions. The structured decision-making framework applied here to the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges is based on a hierarchy of regional objectives and regional value functions relating performance metrics to perceived management benefits. It will be important to ensure that subsequent iterations reflect evolving management objectives and desired outcomes. Elements of the decision model could be further adapted, for example, through differential weighting of objectives or altered value functions, to reflect specific, local management goals and mandates. Future optimization analyses that use this framework could also incorporate additional constraints on action selection, such as ensuring that particular actions within individual marsh management units are included in optimal management portfolios, to further tailor the model to refuge-specific needs.</p>
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</ref-list>
<book-app-group>
<book-app id="a1"><book-part-meta>
<title-group>
<label>Appendix 1</label><title>Regional Influence Diagrams</title>
</title-group>
</book-part-meta>
<body>
<p>The influence diagrams (following the style of prototype diagrams in <xref ref-type="bibr" rid="r-2-1">Neckles and others, 2015</xref>) in this appendix (<xref ref-type="fig" rid="fig01.01">figs.&#x00A0;1.1</xref>&#x2013;<xref ref-type="fig" rid="fig01.08">1.8</xref>) relate possible management strategies to performance metrics. Shapes represent elements of decisions, as follows: rectangles for actions, rectangles with rounded corners for deterministic factors, ovals for stochastic events, and hexagons for consequences expressed as a performance metric.</p>
<fig id="fig01.01" position="float" fig-type="figure"><?Figure Large?><label>Figure 1.1</label><caption><p>Influence diagram used to estimate percent cover of native vegetation in response to implementing certain management actions.</p></caption>
<long-desc>Some management inputs include trapping sediment, reducing upland runoff, and controlling invasive species.</long-desc><graphic xlink:href="pem18-0079_fig01.01"/></fig>
<fig id="fig01.02" position="float" fig-type="figure"><?Figure Large?><label>Figure 1.2</label><caption><p>Influence diagram used to estimate nekton density and species richness in response to implementing certain management actions.</p></caption>
<long-desc>Some management inputs include restoring native vegetation, reducing excess nutrients, and restoring natural hydrology.</long-desc><graphic xlink:href="pem18-0079_fig01.02"/></fig>
<fig id="fig01.03" position="float" fig-type="figure"><?Figure Large?><label>Figure 1.3</label><caption><p>Influence diagram used to estimate abundance of tidal marsh obligate breeding birds in response to implementing certain management actions.</p></caption>
<long-desc>Some management inputs include control of predators, maintaining natural hydrology, and restoring native vegetation.</long-desc><graphic xlink:href="pem18-0079_fig01.03"/></fig>
<fig id="fig01.04" position="float" fig-type="figure"><?Figure Large?><label>Figure 1.4</label><caption><p>Influence diagram used to estimate abundance of American black ducks in winter, as indicator species for nonbreeding wetland birds, in response to implementing certain management actions.</p></caption>
<long-desc>Some management inputs include restoring tidal flow, planting native vegetation, and plugging ditches.</long-desc><graphic xlink:href="pem18-0079_fig01.04"/></fig>
<fig id="fig01.05" position="float" fig-type="figure"><?Figure Large?><label>Figure 1.5</label><caption><p>Influence diagram used to estimate density of spiders, as indicator of trophic health, in response to implementing certain management actions.</p></caption>
<long-desc>Some management inputs include planting native vegetation buffers, applying herbicides, and applying pesticides.</long-desc><graphic xlink:href="pem18-0079_fig01.05"/></fig>
<fig id="fig01.06" position="float" fig-type="figure"><?Figure Large?><label>Figure 1.6</label><caption><p>Influence diagram used to estimate percent of time marsh surface is flooded and salinity of marsh surface water in response to implementing certain management actions.</p></caption>
<long-desc>Some management inputs include planting vegetation, applying herbicides to Phragmites, and trapping sediment.</long-desc><graphic xlink:href="pem18-0079_fig01.06"/></fig>
<fig id="fig01.07" position="float" fig-type="figure"><?Figure Large?><label>Figure 1.7</label><caption><p>Influence diagram used to estimate change in elevation of the marsh surface relative to sea-level rise in response to implementing certain management actions.</p></caption>
<long-desc>Some management inputs include controlling herbivore populations, excavating ditches, and increasing culvert size.</long-desc><graphic xlink:href="pem18-0079_fig01.07"/></fig>
<fig id="fig01.08" position="float" fig-type="figure"><?Figure Small?><label>Figure 1.8</label><caption><p>Influence diagram used to estimate volume of herbicide that could be applied if a decision was made to use chemical control for removing unwanted vegetation.</p></caption>
<long-desc>Use of herbicide and plant growth rate influence invasive patch size, which affects future herbicide use.</long-desc><graphic xlink:href="pem18-0079_fig01.08"/></fig>
</body>
<back>
<ref-list>
<title>Reference Cited</title>
<ref id="r-2-1"><mixed-citation publication-type="journal"><person-group person-group-type="author"><string-name><surname>Neckles</surname>, <given-names>H.A.</given-names></string-name>, <string-name><surname>Lyons</surname>, <given-names>J.E.</given-names></string-name>, <string-name><surname>Guntenspergen</surname>, <given-names>G.R.</given-names></string-name>, <string-name><surname>Shriver</surname>, <given-names>W.G.</given-names></string-name>, and <string-name><surname>Adamowicz</surname>, <given-names>S.C.</given-names></string-name></person-group>, <year>2015</year>, <article-title>Use of structured decision making to identify monitoring variables and management priorities for salt marsh ecosystems</article-title>: <source>Estuaries and Coasts</source>, v.&#x00A0;<volume>38</volume>, no.&#x00A0;<issue>4</issue>, p.&#x00A0;<fpage>1215</fpage>&#x2013;<lpage>1232</lpage>. [Also available at <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1007/s12237-014-9822-5">https://doi.org/10.1007/s12237-014-9822-5</ext-link>.]</mixed-citation></ref>
</ref-list>
</back>
</book-app>
<book-app id="a2"><book-part-meta>
<title-group>
<label>Appendix 2</label><title>Utility Functions for the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges</title>
</title-group>
</book-part-meta>
<body>
<p>Utilities [<italic>u</italic>(<italic>x</italic>)] are derived as monotonically increasing, monotonically decreasing, or step functions over the range of performance metric <italic>x</italic>. In the functions in <xref ref-type="fig" rid="fig02.01">figures&#x00A0;2.1</xref>&#x2013;<xref ref-type="fig" rid="fig02.10">2.10</xref>, <italic>x</italic>, <italic>Low</italic>, <italic>High</italic>, and <italic>&#x03C1;</italic> are expressed in performance metric units; <italic>Low</italic> and <italic>High</italic> represent the endpoints of the given metric range for the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges; and <italic>&#x03C1;</italic> represents a shape parameter derived by stakeholder elicitation (<xref ref-type="bibr" rid="r-3-1">Neckles and others, 2015</xref>). Break points in step functions were also derived by stakeholder elicitation.</p>
<fig id="fig02.01" position="float" fig-type="figure"><?Figure Large?><label>Figure 2.1</label><caption><p>Native vegetation at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges, Virginia.</p></caption>
<long-desc>Utility gains increase at the highest rate from 0 to 40% native vegetation cover.</long-desc><graphic xlink:href="pem18-0079_fig02.01"/></fig>
<fig id="fig02.02" position="float" fig-type="figure"><?Figure Large?><label>Figure 2.2</label><caption><p>Native nekton density at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges, Virginia.</p></caption>
<long-desc>Utility gradually increases up to 175 animals per square meter.</long-desc><graphic xlink:href="pem18-0079_fig02.02"/></fig>
<fig id="fig02.03" position="float" fig-type="figure"><?Figure Large?><label>Figure 2.3</label><caption><p>Native nekton species richness at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges, Virginia.</p></caption>
<long-desc>Utility increases linearly in proportion to number of nekton species.</long-desc><graphic xlink:href="pem18-0079_fig02.03"/></fig>
<fig id="fig02.04" position="float" fig-type="figure"><?Figure Large?><label>Figure 2.4</label><caption><p>Tidal marsh obligate birds at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges, Virginia.</p></caption>
<long-desc>Utility increases linearly in proportion to number of birds per point.</long-desc><graphic xlink:href="pem18-0079_fig02.04"/></fig>
<fig id="fig02.05" position="float" fig-type="figure"><?Figure Large?><label>Figure 2.5</label><caption><p>American black ducks at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges, Virginia.</p></caption>
<long-desc>Utility is 0 with low relative abundance of birds during winter; about 0.75 utility with medium; and 1 utility with high.</long-desc><graphic xlink:href="pem18-0079_fig02.05"/></fig>
<fig id="fig02.06" position="float" fig-type="figure"><?Figure Large?><label>Figure 2.6</label><caption><p>Marsh spiders at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges, Virginia.</p></caption>
<long-desc>Utility increases linearly in proportion to spiders per square meter.</long-desc><graphic xlink:href="pem18-0079_fig02.06"/></fig>
<fig id="fig02.07" position="float" fig-type="figure"><?Figure Large?><label>Figure 2.7</label><caption><p>Duration of surface flooding at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges, Virginia.</p></caption>
<long-desc>Utility is 1 at flooding 0 to 10 percent of the time. Flooding more than 40 percent of the time has 0 utility.</long-desc><graphic xlink:href="pem18-0079_fig02.07"/></fig>
<fig id="fig02.08" position="float" fig-type="figure"><?Figure Large?><label>Figure 2.8</label><caption><p>Salinity of surface water at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges, Virginia.</p></caption>
<long-desc>Utility is 1 at 0 to 10 parts per thousand salinity. Salinity higher than 25 parts has 0 utility.</long-desc><graphic xlink:href="pem18-0079_fig02.08"/></fig>
<fig id="fig02.09" position="float" fig-type="figure"><?Figure Large?><label>Figure 2.9</label><caption><p>Change in marsh surface elevation relative to sea-level rise at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges, Virginia.</p></caption>
<long-desc>Utility increases linearly in proportion to marsh surface elevation change.</long-desc><graphic xlink:href="pem18-0079_fig02.09"/></fig>
<fig id="fig02.10" position="float" fig-type="figure"><?Figure Large?><label>Figure 2.10</label><caption><p>Application of herbicides at the Eastern Shore of Virginia and Fisherman Island National Wildlife Refuges, Virginia.</p></caption>
<long-desc>Utility decreases linearly in proportion to pints of herbicide used. 360 or more pints used has 0 utility.</long-desc><graphic xlink:href="pem18-0079_fig02.10"/></fig>
</body>
<back>
<ref-list>
<title>Reference Cited</title>
<ref id="r-3-1"><mixed-citation publication-type="journal"><person-group person-group-type="author"><string-name><surname>Neckles</surname>, <given-names>H.A.</given-names></string-name>, <string-name><surname>Lyons</surname>, <given-names>J.E.</given-names></string-name>, <string-name><surname>Guntenspergen</surname>, <given-names>G.R.</given-names></string-name>, <string-name><surname>Shriver</surname>, <given-names>W.G.</given-names></string-name>, and <string-name><surname>Adamowicz</surname>, <given-names>S.C.</given-names></string-name></person-group>, <year>2015</year>, <article-title>Use of structured decision making to identify monitoring variables and management priorities for salt marsh ecosystems</article-title>: <source>Estuaries and Coasts</source>, v.&#x00A0;<volume>38</volume>, no.&#x00A0;<issue>4</issue>, p.&#x00A0;<fpage>1215</fpage>&#x2013;<lpage>1232</lpage>. [Also available at <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1007/s12237-014-9822-5">https://doi.org/10.1007/s12237-014-9822-5</ext-link>.]</mixed-citation></ref>
</ref-list>
</back>
</book-app>
</book-app-group>
<notes notes-type="colophon">
<sec>
<title>For more information, contact:</title>
<p>Director, Eastern Ecological Science Center</p>
<p>U.S.&#x00A0;Geological Survey</p>
<p>11649 Leetown Road</p>
<p>Kearneysville, WV 25430</p>
<p><ext-link ext-link-type="uri" xlink:href="https://www.usgs.gov/centers/eesc">https://www.usgs.gov/centers/eesc</ext-link></p>
<p>Publishing support provided by the Pembroke Publishing Service Center</p>
</sec>
</notes>
</book-back>
</book>
