<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE book SYSTEM "BITS-book2.dtd">
<book xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" dtd-version="2.0" xml:lang="EN">
<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">2021-1123</book-id><book-id book-id-type="doi">10.3133/ofr20211123</book-id><book-title-group>
<book-title>Optimization of Salt Marsh Management at the Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex, Maine, Through Use of Structured Decision Making</book-title>
<alt-title alt-title-type="sentence-case">Optimization of salt marsh management at the Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex, Maine, through use of structured decision making</alt-title>
<alt-title alt-title-type="running-head">Optimization of Salt Marsh Management at the Maine Coastal Islands National Wildlife Refuge Complex</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> and </x></contrib>
<contrib contrib-type="author"><string-name><given-names>Sara</given-names><x> </x><surname>Williams</surname></string-name><xref ref-type="fn" rid="afn3"><sup>3</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>
<fn id="afn3"><label>3</label><p>U.S.&#x00A0;Fish and Wildlife Service, retired.</p></fn>
</author-notes><pub-date date-type="pub"><year>2022</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 Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex in Maine. Refuge biologists, refuge managers, and research scientists identified multiple potential management actions to improve the ecological integrity of two marsh management units within the refuge complex, totaling about 47 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 &#x24;9,545, and may continue to increase at a lower rate with further expenditures. Potential management actions in optimal portfolios at total costs less than or equal to &#x24;9,545 included removing dikes to restore tidal flow in the Gouldsboro Bay management unit and installing runnels to improve surface-water drainage in the Sawyers Marsh management unit. The potential management benefits were derived from expected increases in the numbers of tidal marsh obligate breeding birds and density of spiders (as an indicator of trophic health), reduced duration of flooding, and increased capacity of marsh elevation to keep pace with sea-level rise. The prototype presented here does not resolve management decisions; rather, it provides a framework for decision making at the Maine Coastal Islands National Wildlife Refuge Complex that can be updated for implementation as new data and information become available. Insights from this process may also be useful to inform future habitat management planning at the refuge complex.</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 a salt marsh in the Gouldsboro Bay Division of the Petit Manan National Wildlife Refuge, Maine Coastal Islands National Wildlife Refuge Complex; 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>Ward Feurt, Ryan Kleinert, Kathleen O&#x2019;Brien, and Bri Benvenuti of the U.S.&#x00A0;Fish and Wildlife Service (FWS) provided exceptional hospitality at the Rachel Carson National Wildlife Refuge, Maine, for the 2018 structured decision-making workshop, which included participants from six additional national wildlife refuges. 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>
<front-matter-part book-part-type="Abbreviations">
<book-part-meta>
<title-group>
<title>Abbreviations</title>
</title-group>
</book-part-meta>
<named-book-part-body>
<p>FWS	U.S.&#x00A0;Fish and Wildlife Service</p>
<p>NWR	national wildlife refuge</p>
<p>ppt	part per thousand</p>
<p>USGS	U.S.&#x00A0;Geological Survey</p>
</named-book-part-body>
</front-matter-part>
</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-1-8">Gedan and others, 2009</xref>), and accelerated rates of sea-level rise exacerbate these effects (<xref ref-type="bibr" rid="r-1-7">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 consequent 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-1-6">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="pem18-0073_fig01"/></fig>
<p>The Maine Coastal Islands National Wildlife Refuge Complex consists of five refuges along the coast of Maine supporting diverse habitats, including coastal islands, forested headlands, estuaries, and wetlands. One of the complex&#x2019;s refuges, the Petit Manan National Wildlife Refuge, includes 73 islands and four mainland divisions. This report focuses on two divisions of the Petit Manan National Wildlife Refuge; the Gouldsboro Bay Division in Gouldsboro, Maine, and the Sawyers Marsh Division in Milbridge, Maine. These areas each protect salt marsh habitat used by birds identified as conservation priorities, including <italic>Anas rubripes</italic> (American black ducks) and <italic>Ammodramus nelsoni</italic> (Nelson&#x2019;s sparrows), 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-1-30">U.S.&#x00A0;North American Bird Conservation Initiative, 2020</xref>). This region of the Maine coast is characterized by extreme coastal relief, limited availability of glacial sediments, a large tidal range (3.1 meters), and a rapid rate of local sea-level rise (<xref ref-type="bibr" rid="r-1-14">Kelley and others, 1988</xref>). Salt marshes in this region are generally restricted to the borders of protected coves (<xref ref-type="bibr" rid="r-1-12">Jacobson and others, 1987</xref>). Management goals set by the FWS for the refuge complex include sustaining the natural functions of the salt marsh ecosystem and maintaining and enhancing salt marsh habitat for migratory birds (FWS, 2005). In this study, the regional structured decision-making framework was used to help prioritize salt marsh management options for two mainland parcels of the refuge complex.</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 Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex in Maine. 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 Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex in Maine</p></caption>
<long-desc>The bays are finger-like and parallel. Two areas of salt marsh are highlighted.</long-desc><graphic xlink:href="pem18-0073_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 Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex. The regional framework was parameterized to local conditions through rapid prototyping, producing a decision model for the refuge complex that can be updated as new information becomes available. Included are a suite of potential management actions to achieve objectives in two marsh management units (<xref ref-type="fig" rid="fig02">fig.&#x00A0;2</xref>), estimated 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 complicated management decisions at the Maine Coastal Islands National Wildlife Refuge Complex.</p>
</sec>
<sec>
<title>Description of Study Area</title>
<p>Two mainland divisions of the Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex, the Gouldsboro Bay and Sawyers Marsh Divisions, include salt marsh management units (<xref ref-type="fig" rid="fig02">fig.&#x00A0;2</xref>). The Gouldsboro Bay management unit (with an area of 8 hectares [ha]) is at the upper end of West Bay, which forms the northwest arm of Gouldsboro Bay. Substantial remnants of two dikes that were created for salt-hay farming in the late 1700s persist in the marsh management unit, impeding transport of sediment into the upper marsh and restricting drainage of water from the marsh surface. The Sawyers Marsh management unit (39 ha) is at the northern end of Pigeon Hill Bay. Remnants of a dike constructed in the 1800s to facilitate salt-hay farming persists across the channel from Pigeon Hill Bay leading into the marsh, and historic drainage tiles have been found buried in the northern half of the marsh. The majority of land within 1,000 meters of the boundaries of both marsh management units is forested. During summer 2012, the average salt marsh surface-water salinity was about 30 parts per thousand (ppt) at Gouldsboro Bay and 34 ppt at Sawyers Marsh management units, or euhaline as defined by <xref ref-type="bibr" rid="r-1-5">Cowardin and others (1979)</xref>.</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 refuge complex. 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">&#x00A0;&#x00A0;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 specific tidal marsh obligate birds (<italic>Tringa semipalmata</italic> [willet], <italic>Ammodramus caudacutus</italic> [saltmarsh sparrow], Nelson&#x2019;s sparrow, unknown sharptailed sparrow)<sup>2</sup></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>3</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">&#x00A0;&#x00A0;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">0=no herbicide applied; 1=herbicide applied</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>Species composition adjusted from regional performance metric to reflect bird geographic ranges relative to the Maine Coastal Islands National Wildlife Refuge Complex. &#x201C;Unknown sharptailed sparrow&#x201D; includes saltmarsh sparrow, Nelson&#x2019;s sparrow, and hybrids between the two species.</p></fn>
<fn id="t01n3"><label><sup>3</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-1-4">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-1-13">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 Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex</title>
<p>In January 2018, FWS regional biologists, biologists and managers from seven northeastern NWR administrative units and USGS and Yale University 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 Maine Coastal Islands National Wildlife Refuge Complex and the Monomoy, Moosehorn, Parker River, Rachel Carson, and Stewart B. McKinney National Wildlife Refuges. 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 Rachel Carson National Wildlife Refuge, Maine, to apply a regional framework for optimizing salt marsh management decisions to six national wildlife refuges in January 2018.</title>
<p content-type="toc">Table 2.&#x2003;Participants in workshop convened at the Rachel Carson National Wildlife Refuge, Maine, to apply a regional framework for optimizing salt marsh management decisions to six national wildlife refuges in January 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="65.72%"/>
<col width="34.28%"/>
<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">&#x00A0;&#x00A0;FWS NWR specialists</th>
</tr>
<tr>
<td valign="top" align="left" style="border-top: solid 0.50pt" scope="row">Maine Coastal Islands NWR Complex</td>
<td valign="top" align="left" style="border-top: solid 0.50pt">Sara Williams</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">Monomoy NWR</td>
<td valign="top" align="left">Matthew Hillman</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">Moosehorn NWR</td>
<td valign="top" align="left">Maurice Mills</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">Moosehorn NWR</td>
<td valign="top" align="left">Keith Ramos</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">Moosehorn NWR</td>
<td valign="top" align="left">Ray Brown</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">Parker River NWR</td>
<td valign="top" align="left">Nancy Pau</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">Parker River NWR</td>
<td valign="top" align="left">Bill Peterson</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">Rachel Carson NWR</td>
<td valign="top" align="left">Kathleen O&#x2019;Brien</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">Rachel Carson NWR</td>
<td valign="top" align="left">Ryan Kleinert</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">Rachel Carson NWR</td>
<td valign="top" align="left">Bri Benvenuti</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">Stewart B. McKinney NWR</td>
<td valign="top" align="left">Richard Potvin</td>
</tr>
<tr>
<td valign="top" align="left" style="border-bottom: solid 0.50pt" scope="row">Stewart B. McKinney NWR</td>
<td valign="top" align="left" style="border-bottom: solid 0.50pt">Kristina Vagos</td>
</tr>
<tr>
<th valign="middle" colspan="2" align="center" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt" scope="col">&#x00A0;&#x00A0;FWS regional experts</th>
</tr>
<tr>
<td valign="top" align="left" style="border-top: solid 0.50pt" scope="row">Northeast Regional Office</td>
<td valign="top" align="left" style="border-top: solid 0.50pt">Rachel Katz</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">Northeast Regional Office</td>
<td valign="top" align="left">Troy Wilson</td>
</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">&#x00A0;&#x00A0;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" scope="row">USGS Eastern Ecological Science Center</td>
<td valign="top" align="left">Hilary Neckles</td>
</tr>
<tr>
<td valign="top" align="left" style="border-bottom: solid 0.50pt" scope="row">Yale School of Forestry and Environmental Studies</td>
<td valign="top" align="left" style="border-bottom: solid 0.50pt">Laurel Low</td>
</tr>
</tbody></table></table-wrap>
<p>Participants identified a range of possible management actions for achieving objectives within both marsh management units at the Maine Coastal Islands National Wildlife Refuge Complex and estimated the total cost of implementation over a 5-year period; the specific years of implementation were not identified in this prototype. Potential strategies to enhance salt marsh integrity included restoring marsh hydrology or increasing 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 two marsh management units at the Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex, Maine, 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 two marsh management units at the Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex, Maine, 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="14.45%"/>
<col width="8.64%"/>
<col width="9.88%"/>
<col width="6.97%"/>
<col width="7.41%"/>
<col width="8.37%"/>
<col width="7.7%"/>
<col width="6.97%"/>
<col width="7.37%"/>
<col width="6.97%"/>
<col width="7.57%"/>
<col width="7.7%"/>
<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-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-bottom: solid 0.50pt">Tidal marsh obligate birds (summed number per point)</td>
<td rowspan="2" valign="middle" align="center" scope="col" style="border-bottom: solid 0.50pt">American black ducks use<sup>1</sup></td>
<td rowspan="2" valign="middle" align="center" scope="col" style="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-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-bottom: solid 0.50pt">Herbicide applica-tion<sup>4</sup></td>
</tr>
<tr>
<td valign="middle" colspan="1" align="center" scope="colgroup" style="border-bottom: solid 0.50pt">Density (number of animals per square meter)</td>
<td valign="middle" align="center" scope="col" style="border-bottom: solid 0.50pt">Species richness (number)</td>
<td valign="middle" colspan="1" align="center" scope="colgroup" style="border-bottom: solid 0.50pt">Duration of surface flooding<sup>2</sup> (%)</td>
<td valign="middle" align="center" scope="col" style="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">&#x00A0;&#x00A0;Gouldsboro Bay</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=".">100</td>
<td valign="top" align="char" char=".">19</td>
<td valign="top" align="char" char=".">4</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="left">Medium</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">34</td>
<td valign="top" align="char" char=".">0</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. Remove all dikes from the main creek to restore tidal flow</td>
<td valign="top" align="char" char=".">4,200</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">25</td>
<td valign="top" align="char" char=".">5</td>
<td valign="top" align="char" char=".">1.4</td>
<td valign="top" align="left">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">20</td>
<td valign="top" align="char" char=".">0</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. Remove all dikes from the southern end of the management unit</td>
<td valign="top" align="char" char=".">2,400</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">35</td>
<td valign="top" align="char" char=".">5</td>
<td valign="top" align="char" char=".">0.2</td>
<td valign="top" align="left">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">25</td>
<td valign="top" align="char" char=".">0</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">D. Remove all dikes from the main creek and install sediment traps (coir logs, Christmas trees)</td>
<td valign="top" align="char" char=".">11,760</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">25</td>
<td valign="top" align="char" char=".">5</td>
<td valign="top" align="char" char=".">1.6</td>
<td valign="top" align="left">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">20</td>
<td valign="top" align="char" char=".">0</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 all dikes from the main creek and Marsh 3 and install runnels in Marsh 3</td>
<td valign="top" align="char" char=".">7,048</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">40</td>
<td valign="top" align="char" char=".">5</td>
<td valign="top" align="char" char=".">1.6</td>
<td valign="top" align="left">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">25</td>
<td valign="top" align="char" char=".">0</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">F. Remove all dikes from the main creek and the southern end of the management unit and fill in pools in the southern end of the unit</td>
<td valign="top" align="char" char=".">9,097</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">35</td>
<td valign="top" align="char" char=".">5</td>
<td valign="top" align="char" char=".">2.1</td>
<td valign="top" align="left">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">10</td>
<td valign="top" align="char" char=".">0</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 all dikes from the main creek and the southern end of the management unit, install sediment traps, install runnels and fill in pools in the southern end of the unit</td>
<td valign="top" align="char" char=".">17,105</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">40</td>
<td valign="top" align="char" char=".">5</td>
<td valign="top" align="char" char=".">2.6</td>
<td valign="top" align="left">Medium</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">10</td>
<td valign="top" align="char" char=".">0</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. Remove all dikes from the main creek and the southern end of the management unit, apply thin layer deposition</td>
<td valign="top" align="char" char=".">379,924</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">35</td>
<td valign="top" align="char" char=".">5</td>
<td valign="top" align="char" char=".">2.1</td>
<td valign="top" align="left">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="char" char=".">0</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="center" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt" scope="col">&#x00A0;&#x00A0;Sawyers 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=".">100</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">5</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="left">Medium</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">38</td>
<td valign="top" align="char" char=".">0</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. Remove dike</td>
<td valign="top" align="char" char=".">22,600</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">5</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="left">Medium</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">25</td>
<td valign="top" align="char" char=".">0</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. Excavate and remove drainage tile</td>
<td valign="top" align="char" char=".">40,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">25</td>
<td valign="top" align="char" char=".">5</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="left">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">20</td>
<td valign="top" align="char" char=".">0</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">D. Remediate ditches by filling</td>
<td valign="top" align="char" char=".">46,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">5</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="left">Medium</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">38</td>
<td valign="top" align="char" char=".">0</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">E. Install sediment traps (coir logs, Christmas trees)</td>
<td valign="top" align="char" char=".">12,600</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">6</td>
<td valign="top" align="char" char=".">5</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="left">Medium</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">38</td>
<td valign="top" align="char" char=".">0</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">F. C+E</td>
<td valign="top" align="char" char=".">52,600</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">25</td>
<td valign="top" align="char" char=".">5</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="left">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">20</td>
<td valign="top" align="char" char=".">0</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">G. C+E+plant vegetation</td>
<td valign="top" align="char" char=".">61,000</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">30</td>
<td valign="top" align="char" char=".">5</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="left">Medium</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">20</td>
<td valign="top" align="char" char=".">0</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">H. Install runnels</td>
<td valign="top" align="char" char=".">448</td>
<td valign="top" align="char" char=".">100</td>
<td valign="top" align="char" char=".">15</td>
<td valign="top" align="char" char=".">5</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="left">Medium</td>
<td valign="top" align="char" char=".">1</td>
<td valign="top" align="char" char=".">38</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="char" char=".">0</td>
<td valign="top" align="char" char=".">0</td>
</tr>
<tr>
<td valign="top" align="left" style="border-bottom: solid 0.50pt" scope="row">I. B+C+D+E+H</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">121,648</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">40</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">5</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">0</td>
<td valign="top" align="left" style="border-bottom: solid 0.50pt">Medium</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">15</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">15</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">1</td>
<td valign="top" align="char" char="." style="border-bottom: solid 0.50pt">0</td>
</tr>
</tbody></table>
<table-wrap-foot>
<fn id="t03n1"><label><sup>1</sup></label><p>Relative abundance for refuge 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>
<fn id="t03n4"><label><sup>4</sup></label><p>Measures level of herbicide applied: 0, none applied; 1, some applied.</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-1-4">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 entire refuge complex. 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>).</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 two marsh management units at the Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex, Maine.</title>
<p content-type="toc">Table 4.&#x2003;Normalized predicted outcomes and estimated total management benefits of possible management actions within two marsh management units at the Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex, Maine</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="11.79%"/>
<col width="9.16%"/>
<col width="6.93%"/>
<col width="7.36%"/>
<col width="7.35%"/>
<col width="8.34%"/>
<col width="6.79%"/>
<col width="7.86%"/>
<col width="7.38%"/>
<col width="8.19%"/>
<col width="9.46%"/>
<col width="9.39%"/>
<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">&#x00A0;&#x00A0;Gouldsboro Bay</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=".">0.030</td>
<td valign="top" align="char" char=".">0.036</td>
<td valign="top" align="char" char=".">0.000</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.000</td>
<td valign="top" align="char" char=".">0.022</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=".">0.452</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">B. Remove all dikes from the main creek to restore tidal flow</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.035</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.052</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=".">0.835</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">C. Remove all dikes from the southern end of the management unit</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.042</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.008</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=".">0.055</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=".">0.560</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">D. Remove all dikes from the main creek and install sediment traps (coir logs, Christmas trees)</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.035</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.062</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=".">0.845</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">E. Remove all dikes from the main creek and the southern end of the management unit and install runnels in the southern end of the 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=".">0.045</td>
<td valign="top" align="char" char=".">0.062</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=".">0.055</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=".">0.617</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">F. Remove all dikes from the main creek and the southern end of the management unit and fill in pools in the southern end of the unit</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.042</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=".">0.075</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=".">0.953</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">G. Remove all dikes from the main creek and the southern end of the management unit, install sediment traps, install runnels and fill in pools in the southern end of the 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=".">0.045</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=".">0.060</td>
<td valign="top" align="char" char=".">0.975</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">H. Remove all dikes from the main creek and the southern end of the management unit, apply thin layer deposition</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.042</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=".">0.075</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=".">0.908</td>
</tr>
<tr>
<th valign="middle" colspan="12" align="center" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt" scope="col">&#x00A0;&#x00A0;Sawyers 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=".">0.012</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.000</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.000</td>
<td valign="top" align="char" char=".">0.007</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=".">0.429</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">B. Remove dike</td>
<td valign="top" align="char" char=".">0.120</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=".">0.000</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.000</td>
<td valign="top" align="char" char=".">0.055</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=".">0.490</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">C. Excavate and remove drainage tile</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.035</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.000</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=".">0.000</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.563</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">D. Remediate ditches by filling</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.012</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.000</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.000</td>
<td valign="top" align="char" char=".">0.007</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=".">0.429</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">E. Install sediment traps (coir logs, Christmas trees)</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.012</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.000</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.000</td>
<td valign="top" align="char" char=".">0.007</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=".">0.429</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">F. C+E</td>
<td valign="top" align="char" char=".">0.120</td>
<td valign="top" align="char" char=".">0.035</td>
<td valign="top" align="char" char=".">0.045</td>
<td valign="top" align="char" char=".">0.000</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=".">0.000</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.563</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">G. C+E+plant vegetation</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=".">0.045</td>
<td valign="top" align="char" char=".">0.000</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=".">0.000</td>
<td valign="top" align="char" char=".">0.060</td>
<td valign="top" align="char" char=".">0.567</td>
</tr>
<tr>
<td valign="top" align="left" scope="row">H. Install runnels</td>
<td valign="top" align="char" char=".">0.120</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=".">0.000</td>
<td valign="top" align="char" char=".">0.075</td>
<td valign="top" align="char" char=".">0.000</td>
<td valign="top" align="char" char=".">0.007</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=".">0.442</td>
</tr>
<tr>
<td valign="top" align="left" style="border-bottom: solid 0.50pt" scope="row">I. B+C+D+E+H</td>
<td valign="top" align="left" style="border-bottom: solid 0.50pt">0.120</td>
<td valign="top" align="left" style="border-bottom: solid 0.50pt">0.045</td>
<td valign="top" align="left" style="border-bottom: solid 0.50pt">0.045</td>
<td valign="top" align="left" style="border-bottom: solid 0.50pt">0.000</td>
<td valign="top" align="left" style="border-bottom: solid 0.50pt">0.075</td>
<td valign="top" align="left" style="border-bottom: solid 0.50pt">0.045</td>
<td valign="top" align="left" style="border-bottom: solid 0.50pt">0.092</td>
<td valign="top" align="left" style="border-bottom: solid 0.50pt">0.110</td>
<td valign="top" align="left" style="border-bottom: solid 0.50pt">0.220</td>
<td valign="top" align="left" style="border-bottom: solid 0.50pt">0.060</td>
<td valign="top" align="left" style="border-bottom: solid 0.50pt">0.812</td>
</tr>
</tbody></table></table-wrap>
<p>Budget constraints were increased in $1,000 increments up to $10,000; in $2,500 increments up to $20,000; in $15,000 increments up to $50,000; in $25,000 increments up to $100,000; in $50,000 increments up to $300,000; and in $100,000 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-1-13">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>
</sec>
<sec>
<title>Results of Constrained Optimization</title>
<p>Potential management actions identified to improve marsh integrity at the Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex included removing dikes to restore tidal flow; creating runnels to enhance drainage of water from the marsh surfaces; trapping or applying sediment to increase marsh elevation; or removing drainage tiles or filling ditches to restore natural hydrology (<xref ref-type="table" rid="t03">table&#x00A0;3</xref>). For costs ranging from $0 to $380,000, the estimated management benefits for individual actions across all metrics, measured as weighted utilities, ranged from 0.429 (for implementing no action, ditch remediation, or sediment trapping in the Sawyers Marsh management unit) to 0.975 (for removing all dikes, installing sediment traps, installing runnels, and filling pools in the Gouldsboro Bay management unit), 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 both marsh management units, the action with both the lowest management benefit and lowest cost was the &#x201C;no action&#x201D; alternative (management action A).</p>
<p>Constrained optimization was applied to identify the optimal management portfolios over 5 years for a range of total costs to the refuge complex. As total cost increased from $0 (no action in either unit) to about $139,000, the total management benefit at the refuge scale increased from 0.881 to 1.787 (a 103-percent increase; <xref ref-type="table" rid="t05">table&#x00A0;5</xref>) out of a possible maximum of 2.0 (the maximum possible management benefit of 1.0 for any management action, summed across the two marsh management units). Graphical analysis showed a fairly consistent increase in management benefit as costs increased to $9,545 (<xref ref-type="fig" rid="fig03">fig.&#x00A0;3</xref>, portfolio 5). Portfolio 5 represented the turning point in the cost-benefit analysis; as expenditures increased beyond the cost of portfolio 5, total management benefit continued to increase, but at a lower rate.</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 Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex, Maine.</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 Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex, Maine</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 refuge is 2.0, derived as the maximum possible total management benefit of 1.0 for any management action within one management unit, summed across two units]</p>
</caption>
<table rules="groups">
<col width="15.65%"/>
<col width="26.48%"/>
<col width="21.69%"/>
<col width="16.59%"/>
<col width="19.59%"/>
<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="2" align="center" scope="colgroup" style="border-top: solid 0.50pt; border-bottom: solid 0.50pt">Salt 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">Gouldsboro Bay</td>
<td valign="middle" align="center" scope="col" style="border-bottom: solid 0.50pt">Sawyers 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="char" char="." 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">0.881</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">H</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">448</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">0.894</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">H</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">2,848</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">1.002</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">B</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">H</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">4,648</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">1.278</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">F</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">H</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">9,545</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">1.395</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">G</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">A</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">17,105</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">1.404</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">G</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">H</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">17,553</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">1.417</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">8</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">F</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">B</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">31,697</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">1.433</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">9</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">F</td>
<td valign="top" align="center" style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">C</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">49,097</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">1.517</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">10</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">C</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">57,105</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">1.538</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">11</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">G</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">78,105</td>
<td valign="top" align="char" char="." style="border-right: solid 0.50pt; border-bottom: solid 0.50pt">1.542</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">12</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="char" char="." style="border-top: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt">138,753</td>
<td valign="top" align="char" char="." style="border-top: solid 0.50pt; border-right: solid 0.50pt; border-bottom: solid 0.50pt">1.787</td>
</tr>
</tbody></table></table-wrap>
<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 Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex in Maine. Each portfolio (dot with number) represents a combination of two 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 Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex in Maine</p></caption>
<long-desc>Total management benefit increases rapidly up to about 9,000 dollars total cost, and afterwards increases slowly.</long-desc><graphic xlink:href="pem18-0073_fig03"/></fig>
<p>The 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) consistently included removing dikes to restore tidal flow in Gouldsboro Bay management unit and installing runnels to improve surface-water drainage in Sawyers Marsh management unit. As costs increased from $10,000 to $139,000, portfolios included combinations of multiple actions to improve marsh hydrology and retain sediments in both marsh management units (<xref ref-type="table" rid="t05">table&#x00A0;5</xref>, portfolios 6 through 12). In contrast, some management actions were not included in any portfolio. For example, none of the management portfolios included thin layer deposition of sediments in Gouldsboro Bay management unit, or ditch remediation or sediment trapping in Sawyers Marsh management unit.</p>
<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 large gains in the overall management benefits derived from increased numbers of tidal marsh obligate breeding birds and density of spiders (as an indicator of trophic health), reduced duration of flooding, and increased capacity of marsh elevation to keep pace with sea-level rise, and modest gains in the benefits derived from changes in density and species richness of nekton (<xref ref-type="fig" rid="fig04">fig.&#x00A0;4</xref>). Ecologically, the combination of actions in portfolio 5 may result in an average 200-percent increase in tidal marsh obligate bird counts (averaged across both marsh management units), a 111-percent increase in nekton density, a 13-percent increase in nekton species richness, a 1,450-percent increase in spider density, and a 35-percent decrease in the duration of surface flooding (derived as the average difference between the predicted metric scores for the actions implemented in portfolio 5 and the &#x201C;no-action&#x201D; alternative; <xref ref-type="table" rid="t03">table&#x00A0;3</xref>). Implementation of actions in this portfolio was also predicted to improve the capacity for marsh elevation to keep pace with sea-level rise in one of the marsh management units. The management benefits predicted for portfolios 2 through 4, at total costs up to $4,650, were derived primarily from expected improvements in surface-water drainage and capacity for marsh elevation to keep pace with sea-level rise, 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 Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex in Maine. Baseline (&#x201C;no action&#x201D;) predicted management benefit for tidal marsh obligate breeding birds, spider density, and marsh surface elevation change is 0. 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 showing predicted management benefit of portfolio 5 in comparison to the management benefit from the baseline &#x201C;no-action&#x201D; portfolio at the Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex in Maine</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="pem18-0073_fig04"/></fig>
</sec>
<sec>
<title>Considerations for Optimizing Salt Marsh Management</title>
<p>A regional structured decision-making framework for salt marshes in 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 Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex. 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 refuge complex 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 refuge complex.</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 salt marshes in the Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex 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 consequent increased marsh inundation (<xref ref-type="bibr" rid="r-1-16">Kirwan and Megonigal, 2013</xref>; <xref ref-type="bibr" rid="r-1-24">Roman, 2017</xref>). Installation of runnels, or shallow creeks, to increase marsh drainage has shown promise as a climate change adaptation technique in some Rhode Island salt marshes (<xref ref-type="bibr" rid="r-1-22">Perry and others, in press</xref>). In this prototype, installing runnels in Sawyers Marsh management unit was included in optimal portfolios as a low-cost method to improve marsh integrity. Many salt marshes throughout the northeastern United States are degraded by roads, dikes, railroads, or other obstructions to tidal flow, and salt marsh restoration frequently focuses on reestablishing tidal flow (<xref ref-type="bibr" rid="r-1-17">Konisky and others, 2006</xref>; <xref ref-type="bibr" rid="r-1-25">Roman and Burdick, 2012</xref>). Benefits of dike removal often include increases in abundance of nekton in the upper reaches of the marsh (<xref ref-type="bibr" rid="r-1-3">Burdick and others, 1997</xref>; <xref ref-type="bibr" rid="r-1-26">Roman and others, 2002</xref>), and delivery of sediment to the marsh surface may also be enhanced (<xref ref-type="bibr" rid="r-1-24">Roman, 2017</xref>). In this prototype, increasing tidal exchange in the upper marsh areas through dike removal was predicted to improve overall management benefit for relatively low (Gouldsboro Bay management unit, actions B and C) or moderate (Sawyers Marsh management unit, action B) cost (<xref ref-type="table" rid="t03">table&#x00A0;3</xref>, <xref ref-type="table" rid="t04">table&#x00A0;4</xref>).</p>
<p>Multiple, interacting factors influence the long-term success of restoration actions in prolonging marsh integrity and improving marsh resilience, and responses to management actions are complex and site specific (<xref ref-type="bibr" rid="r-1-24">Roman, 2017</xref>). Due to the large tidal range and rapid rate of sea-level rise in this region of the Maine coast, large volumes of sediment are required for marsh maintenance and vertical growth (<xref ref-type="bibr" rid="r-1-14">Kelley and others, 1988</xref>). Management actions tested in other coastal regions for increasing marsh surface elevation include installing low-cost sediment fences made from recycled Christmas trees to enhance natural sediment trapping (<xref ref-type="bibr" rid="r-1-2">Boumans and others, 1997</xref>), and placing a thin layer of sediment on the marsh surface to build elevation artificially (<xref ref-type="bibr" rid="r-1-31">Wigand and others, 2017</xref>; <xref ref-type="bibr" rid="r-1-23">Raposa and others, 2020</xref>). Both of these approaches were suggested as possible mechanisms to improve salt marsh sustainability at Maine Coastal Islands National Wildlife Refuge Complex, but they were not included in optimal portfolios. This may have been due in part to a lack of information to inform the local predicted consequences. Future iterations of this decision model can incorporate improved understanding of marsh responses to management actions. Also, 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-1-18">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>The prototype model for the Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex 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. In addition, the constrained optimizations analyzed in this report were based on approximations of management costs. As salt marsh management is undertaken around the 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. This will allow future iterations of the decision model to include more accurate cost estimates.</p>
<p>The structured decision-making framework applied here to the Maine Coastal Islands National Wildlife Refuge Complex 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>
</sec>
</body>
</book-part>
</book-body>
<book-back>
<ref-list>
<title>References Cited</title>
<ref id="r-1-1"><mixed-citation publication-type="journal"><person-group person-group-type="author"><string-name><surname>Blomquist</surname>, <given-names>S.M.</given-names></string-name>, <string-name><surname>Johnson</surname>, <given-names>T.D.</given-names></string-name>, <string-name><surname>Smith</surname>, <given-names>D.R.</given-names></string-name>, <string-name><surname>Call</surname>, <given-names>G.P.</given-names></string-name>, <string-name><surname>Miller</surname>, <given-names>B.N.</given-names></string-name>, <string-name><surname>Thurman</surname>, <given-names>W.M.</given-names></string-name>, <string-name><surname>McFadden</surname>, <given-names>J.E.</given-names></string-name>, <string-name><surname>Parkin</surname>, <given-names>M.J.</given-names></string-name>, and <string-name><surname>Boomer</surname>, <given-names>G.S.</given-names></string-name></person-group>, <year>2010</year>, <article-title>Structured decision-making and rapid prototyping to plan a management response to an invasive species</article-title>: <source>Journal of Fish and Wildlife Management</source>, v.&#x00A0;<volume>1</volume>, no.&#x00A0;<issue>1</issue>, p.&#x00A0;<fpage>19</fpage>&#x2013;<lpage>32</lpage>. [Also available at <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3996/JFWM-025">https://doi.org/10.3996/JFWM-025</ext-link>.]</mixed-citation></ref>
<ref id="r-1-2"><mixed-citation publication-type="journal"><person-group person-group-type="author"><string-name><surname>Boumans</surname>, <given-names>R.M.J.</given-names></string-name>, <string-name><surname>Day</surname>, <given-names>J.W.</given-names></string-name>, <string-name><surname>Kemp</surname>, <given-names>G.P.</given-names></string-name>, and <string-name><surname>Kilgen</surname>, <given-names>K.</given-names></string-name></person-group>, <year>1997</year>, <article-title>The effect of intertidal sediment fences on wetland surface elevation, wave energy and vegetation establishment in two Louisiana coastal marshes</article-title>: <source>Ecological Engineering</source>, v.&#x00A0;<volume>9</volume>, no.&#x00A0;<issue>1-2</issue>, p.&#x00A0;<fpage>37</fpage>&#x2013;<lpage>50</lpage>. [Also available at <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1016/S0925-8574(97)00028-1">https://doi.org/10.1016/S0925-8574(97)00028-1</ext-link>.]</mixed-citation></ref>
<ref id="r-1-3"><mixed-citation publication-type="journal"><person-group person-group-type="author"><string-name><surname>Burdick</surname>, <given-names>D.M.</given-names></string-name>, <string-name><surname>Dionne</surname>, <given-names>M.</given-names></string-name>, <string-name><surname>Boumans</surname>, <given-names>R.M.</given-names></string-name>, and <string-name><surname>Short</surname>, <given-names>F.T.</given-names></string-name></person-group>, <year>1997</year>, <article-title>Ecological responses to tidal restorations of two northern New England salt marshes</article-title>: <source>Wetlands Ecology and Management</source>, v.&#x00A0;<volume>4</volume>, no.&#x00A0;<issue>2</issue>, p.&#x00A0;<fpage>129</fpage>&#x2013;<lpage>144</lpage>. [Also available at <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1007/BF01876233">https://doi.org/10.1007/BF01876233</ext-link>.]</mixed-citation></ref>
<ref id="r-1-4"><mixed-citation publication-type="book"><person-group person-group-type="author"><string-name><surname>Conroy</surname>, <given-names>M.J.</given-names></string-name>, and <string-name><surname>Peterson</surname>, <given-names>J.T.</given-names></string-name></person-group>, <year>2013</year>, <source>Decision making in natural resource management&#x2014;A structured, adaptive approach</source>: <publisher-loc>Chichester, United Kingdom</publisher-loc>, <publisher-name>John Wiley and Sons, Ltd.</publisher-name>, <size units="page">456</size>&#x00A0;p. [Also available at <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1002/9781118506196">https://doi.org/10.1002/9781118506196</ext-link>.]</mixed-citation></ref>
<ref id="r-1-5"><mixed-citation publication-type="web">Cowardin, L.M., Carter, V., Golet, F.C., and LaRoe, E.T., 1979, Classification of wetlands and deepwater habitats of the United States: U.S.&#x00A0;Fish and Wildlife Service FWS/OBS&#x2013;79/31, 131 p., accessed November 12, 2018, at <ext-link ext-link-type="uri" xlink:href="https://www.fws.gov/wetlands/Documents/Classification-of-Wetlands-and-Deepwater-Habitats-of-the-United-States.pdf">https://www.fws.gov/wetlands/Documents/Classification-of-Wetlands-and-Deepwater-Habitats-of-the-United-States.pdf</ext-link>.</mixed-citation></ref>
<ref id="r-1-6"><mixed-citation publication-type="book"><person-group person-group-type="author"><string-name><surname>Garrard</surname>, <given-names>G.E.</given-names></string-name>, <string-name><surname>Rumpff</surname>, <given-names>L.</given-names></string-name>, <string-name><surname>Runge</surname>, <given-names>M.C.</given-names></string-name>, and <string-name><surname>Converse</surname>, <given-names>S.J.</given-names></string-name></person-group>, <year>2017</year>, <chapter-title>Rapid prototyping for decision structuring&#x2014;An efficient approach to conservation decision analysis</chapter-title>, <italic>in</italic> <person-group person-group-type="editor"><string-name><surname>Bunnefeld</surname>, <given-names>N.</given-names></string-name>, <string-name><surname>Nicholson</surname>, <given-names>E.</given-names></string-name>, and <string-name><surname>Milner-Gulland</surname>, <given-names>E.J.</given-names></string-name></person-group>, eds., <source>Decision-making in conservation and natural resource management</source>: <publisher-loc>Cambridge, United Kingdom</publisher-loc>, <publisher-name>Cambridge University Press</publisher-name>, p.&#x00A0;<fpage>46</fpage>&#x2013;<lpage>64</lpage>. [Also available at <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1017/9781316135938.003">https://doi.org/10.1017/9781316135938.003</ext-link>.]</mixed-citation></ref>
<ref id="r-1-7"><mixed-citation publication-type="journal"><person-group person-group-type="author"><string-name><surname>Gedan</surname>, <given-names>K.B.</given-names></string-name>, <string-name><surname>Altieri</surname>, <given-names>A.H.</given-names></string-name>, and <string-name><surname>Bertness</surname>, <given-names>M.D.</given-names></string-name></person-group>, <year>2011</year>, <article-title>Uncertain future of New England salt marshes</article-title>: <source>Marine Ecology Progress Series</source>, v.&#x00A0;<volume>434</volume>, p.&#x00A0;<fpage>229</fpage>&#x2013;<lpage>237</lpage>. [Also available at <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3354/meps09084">https://doi.org/10.3354/meps09084</ext-link>.]</mixed-citation></ref>
<ref id="r-1-8"><mixed-citation publication-type="journal"><person-group person-group-type="author"><string-name><surname>Gedan</surname>, <given-names>K.B.</given-names></string-name>, <string-name><surname>Silliman</surname>, <given-names>B.R.</given-names></string-name>, and <string-name><surname>Bertness</surname>, <given-names>M.D.</given-names></string-name></person-group>, <year>2009</year>, <article-title>Centuries of human-driven change in salt marsh ecosystems</article-title>: <source>Annual Review of Marine Science</source>, v.&#x00A0;<volume>1</volume>, no.&#x00A0;<issue>1</issue>, p.&#x00A0;<fpage>117</fpage>&#x2013;<lpage>141</lpage>. [Also available at <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1146/annurev.marine.010908.163930">https://doi.org/10.1146/annurev.marine.010908.163930</ext-link>.]</mixed-citation></ref>
<ref id="r-1-9"><mixed-citation publication-type="book"><person-group person-group-type="author"><string-name><surname>Gregory</surname>, <given-names>R.</given-names></string-name>, <string-name><surname>Failing</surname>, <given-names>L.</given-names></string-name>, <string-name><surname>Harstone</surname>, <given-names>M.</given-names></string-name>, <string-name><surname>Long</surname>, <given-names>G.</given-names></string-name>, <string-name><surname>McDaniels</surname>, <given-names>T.</given-names></string-name>, and <string-name><surname>Ohlson</surname>, <given-names>D.</given-names></string-name></person-group>, <year>2012</year>, <source>Structured decision making&#x2014;A practical guide to environmental management choices</source>: <publisher-loc>Chichester, United Kingdom</publisher-loc>, <publisher-name>John Wiley and Sons, Ltd.</publisher-name>, <size units="page">299</size>&#x00A0;p. [Also available at <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1002/9781444398557">https://doi.org/10.1002/9781444398557</ext-link>.]</mixed-citation></ref>
<ref id="r-1-10"><mixed-citation publication-type="journal"><person-group person-group-type="author"><string-name><surname>Gregory</surname>, <given-names>R.S.</given-names></string-name>, and <string-name><surname>Keeney</surname>, <given-names>R.L.</given-names></string-name></person-group>, <year>2002</year>, <article-title>Making smarter environmental management decisions</article-title>: <source>Journal of the American Water Resources Association</source>, v.&#x00A0;<volume>38</volume>, no.&#x00A0;<issue>6</issue>, p.&#x00A0;<fpage>1601</fpage>&#x2013;<lpage>1612</lpage>.<comment> </comment>[Also available at <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1111/j.1752-1688.2002.tb04367.x">https://doi.org/10.1111/j.1752-1688.2002.tb04367.x</ext-link>.]</mixed-citation></ref>
<ref id="r-1-11"><mixed-citation publication-type="book"><person-group person-group-type="author"><string-name><surname>Hammond</surname>, <given-names>J.S.</given-names></string-name>, <string-name><surname>Keeney</surname>, <given-names>R.L.</given-names></string-name>, and <string-name><surname>Raiffa</surname>, <given-names>H.</given-names></string-name></person-group>, <year>1999</year>, <source>Smart choices&#x2014;A practical guide to making better life decisions</source>: <publisher-loc>Boston</publisher-loc>, <publisher-name>Harvard Business School Press</publisher-name>, <size units="page">242</size>&#x00A0;p.</mixed-citation></ref>
<ref id="r-1-12"><mixed-citation publication-type="journal"><person-group person-group-type="author"><string-name><surname>Jacobson</surname>, <given-names>H.A.</given-names></string-name>, <string-name><surname>Jacobson</surname>, <given-names>G.L.</given-names>, <suffix>Jr</suffix></string-name>., and <string-name><surname>Kelley</surname>, <given-names>J.T.</given-names></string-name></person-group>, <year>1987</year>, <article-title>Distribution and abundance of tidal marshes along the coast of Maine</article-title>: <source>Estuaries</source>, v.&#x00A0;<volume>10</volume>, no.&#x00A0;<issue>2</issue>, p.&#x00A0;<fpage>126</fpage>&#x2013;<lpage>131</lpage>. [Also available at <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.2307/1352176">https://doi.org/10.2307/1352176</ext-link>.]</mixed-citation></ref>
<ref id="r-1-13"><mixed-citation publication-type="book"><person-group person-group-type="author"><string-name><surname>Keeney</surname>, <given-names>R.L.</given-names></string-name>, and <string-name><surname>Raiffa</surname>, <given-names>H.</given-names></string-name></person-group>, <year>1993</year>, <source>Decisions with multiple objectives&#x2014;Preferences and value tradeoffs</source>: <publisher-loc>Cambridge, United Kingdom</publisher-loc>, <publisher-name>Cambridge University Press</publisher-name>, <size units="page">569</size>&#x00A0;p. [Also available at <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1017/CBO9781139174084">https://doi.org/10.1017/CBO9781139174084</ext-link>.]</mixed-citation></ref>
<ref id="r-1-14"><mixed-citation publication-type="journal"><person-group person-group-type="author"><string-name><surname>Kelley</surname>, <given-names>J.T.</given-names></string-name>, <string-name><surname>Belknap</surname>, <given-names>D.F.</given-names></string-name>, <string-name><surname>Jacobson</surname>, <given-names>G.L.</given-names>, <suffix>Jr</suffix></string-name>., and <string-name><surname>Jacobson</surname>, <given-names>H.A.</given-names></string-name></person-group>, <year>1988</year>, <article-title>The morphology and origin of salt marshes along the glaciated coastline of Maine, USA</article-title>: <source>Journal of Coastal Research</source>, v.&#x00A0;<volume>4</volume>, no.&#x00A0;<issue>4</issue>, p.&#x00A0;<fpage>649</fpage>&#x2013;<lpage>666</lpage>. [Also available at <ext-link ext-link-type="uri" xlink:href="https://www.jstor.org/stable/4297467">https://www.jstor.org/stable/4297467</ext-link>.]</mixed-citation></ref>
<ref id="r-1-15"><mixed-citation publication-type="book"><person-group person-group-type="author"><string-name><surname>Kirkwood</surname>, <given-names>C.W.</given-names></string-name></person-group>, <year>1997</year>, <source>Strategic decision making&#x2014;Multiobjective decision analysis with spreadsheets</source>: <publisher-loc>Belmont, Calif.</publisher-loc>, <publisher-name>Duxbury Press</publisher-name>, <size units="page">345</size>&#x00A0;p.</mixed-citation></ref>
<ref id="r-1-16"><mixed-citation publication-type="journal"><person-group person-group-type="author"><string-name><surname>Kirwan</surname>, <given-names>M.L.</given-names></string-name>, and <string-name><surname>Megonigal</surname>, <given-names>J.P.</given-names></string-name></person-group>, <year>2013</year>, <article-title>Tidal wetland stability in the face of human impacts and sea-level rise</article-title>: <source>Nature</source>, v.&#x00A0;<volume>504</volume>, no.&#x00A0;<issue>7478</issue>, p.&#x00A0;<fpage>53</fpage>&#x2013;<lpage>60</lpage>. [Also available at <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1038/nature12856">https://doi.org/10.1038/nature12856</ext-link>.]</mixed-citation></ref>
<ref id="r-1-17"><mixed-citation publication-type="journal"><person-group person-group-type="author"><string-name><surname>Konisky</surname>, <given-names>R.A.</given-names></string-name>, <string-name><surname>Burdick</surname>, <given-names>D.M.</given-names></string-name>, <string-name><surname>Dionne</surname>, <given-names>M.</given-names></string-name>, and <string-name><surname>Neckles</surname>, <given-names>H.A.</given-names></string-name></person-group>, <year>2006</year>, <article-title>A regional assessment of salt marsh restoration and monitoring in the Gulf of Maine</article-title>: <source>Restoration Ecology</source>, v.&#x00A0;<volume>14</volume>, no.&#x00A0;<issue>4</issue>, p.&#x00A0;<fpage>516</fpage>&#x2013;<lpage>525</lpage>. [Also available at <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1111/j.1526-100X.2006.00163.x">https://doi.org/10.1111/j.1526-100X.2006.00163.x</ext-link>.]</mixed-citation></ref>
<ref id="r-1-18"><mixed-citation publication-type="web">Lynch, J.C., Hensel, P., and Cahoon, D.R., 2015, The surface elevation table and marker horizon technique&#x2014;A protocol for monitoring wetland elevation dynamics: National Park Service Natural Resource Report NPS/NCBN/NRR 2015/1078, [variously paged], accessed August 24, 2018, at <ext-link ext-link-type="uri" xlink:href="https://irma.nps.gov/DataStore/DownloadFile/531681">https://irma.nps.gov/DataStore/DownloadFile/531681</ext-link>.</mixed-citation></ref>
<ref id="r-1-19"><mixed-citation publication-type="web">Neckles, H.A., Guntenspergen, G.R., Shriver, W.G., Danz, N.P., Wiest, W.A., Nagel, J.L., and Olker, J.H., 2013, Identification of metrics to monitor salt marsh integrity on national wildlife refuges in relation to conservation and management objectives: U.S.&#x00A0;Fish and Wildlife Service, prepared by U.S.&#x00A0;Geological Survey, 226&#x00A0;p., accessed May&#x00A0;1, 2018, at <ext-link ext-link-type="uri" xlink:href="https://ecos.fws.gov/ServCat/Reference/Profile/37795">https://ecos.fws.gov/ServCat/Reference/Profile/37795</ext-link>.</mixed-citation></ref>
<ref id="r-1-20"><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 id="r-1-21"><mixed-citation publication-type="book"><person-group person-group-type="author"><string-name><surname>Pennings</surname>, <given-names>S.C.</given-names></string-name>, and <string-name><surname>Bertness</surname>, <given-names>M.D.</given-names></string-name></person-group>, <year>2001</year>, <chapter-title>Salt marsh communities</chapter-title>, <italic>in</italic> <person-group person-group-type="editor"><string-name><surname>Bertness</surname>, <given-names>M.D.</given-names></string-name>, <string-name><surname>Gaines</surname>, <given-names>S.D.</given-names></string-name>, and <string-name><surname>Hay</surname>, <given-names>M.E.</given-names></string-name></person-group>, eds., <source>Marine community ecology</source>: <publisher-loc>Sunderland, Mass.</publisher-loc>, <publisher-name>Sinauer Associates</publisher-name>, p.&#x00A0;<fpage>289</fpage>&#x2013;<lpage>316</lpage>.</mixed-citation></ref>
<ref id="r-1-22"><mixed-citation publication-type="journal"><person-group person-group-type="author"><string-name><surname>Perry</surname>, <given-names>D.C.</given-names></string-name>, <string-name><surname>Ferguson</surname>, <given-names>W.</given-names></string-name>, and <string-name><surname>Thornber</surname>, <given-names>C.S.</given-names></string-name></person-group>, [<comment>in press</comment>], <article-title>Salt marsh climate adaptation&#x2014;Using runnels to adapt to accelerating sea level rise within a drowning New England salt marsh</article-title>: <source>Restoration Ecology</source>, article&#x00A0;e13466. [Also available at <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1111/rec.13466">https://doi.org/10.1111/rec.13466</ext-link>.]</mixed-citation></ref>
<ref id="r-1-23"><mixed-citation publication-type="web">Raposa, K., Wasson, K., Nelson, J., Fountain, M., West, J., Endris, C., and Woolfolk, A., 2020, Guidance for thin-layer sediment placement as a strategy to enhance tidal marsh resilience to sea-level rise: Ann Arbor, Mich., University of Michigan, and National Oceanic and Atmospheric Administration, 35&#x00A0;p., accessed September&#x00A0;9, 2021, at <ext-link ext-link-type="uri" xlink:href="https://www.nerra.org/wp-content/uploads/2020/02/TLP-Guidance-for-Thin-Layer-Placement-20200217-HRes.pdf">https://www.nerra.org/wp-content/uploads/2020/02/TLP-Guidance-for-Thin-Layer-Placement-20200217-HRes.pdf</ext-link>.</mixed-citation></ref>
<ref id="r-1-24"><mixed-citation publication-type="journal"><person-group person-group-type="author"><string-name><surname>Roman</surname>, <given-names>C.T.</given-names></string-name></person-group>, <year>2017</year>, <article-title>Salt marsh sustainability&#x2014;Challenges during an uncertain future</article-title>: <source>Estuaries and Coasts</source>, v.&#x00A0;<volume>40</volume>, no.&#x00A0;<issue>3</issue>, p.&#x00A0;<fpage>711</fpage>&#x2013;<lpage>716</lpage>. [Also available at <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1007/s12237-016-0149-2">https://doi.org/10.1007/s12237-016-0149-2</ext-link>.]</mixed-citation></ref>
<ref id="r-1-25"><mixed-citation publication-type="book"> <person-group person-group-type="editor"><string-name><surname>Roman</surname>, <given-names>C.T.</given-names></string-name>, and <string-name><surname>Burdick</surname>, <given-names>D.M.</given-names></string-name></person-group>, eds., <year>2012</year>, <source>Tidal marsh restoration&#x2014;A synthesis of science and practice</source>: <publisher-loc>Washington, D.C.</publisher-loc>, <publisher-name>Island Press</publisher-name>, <size units="page">406</size>&#x00A0;p.</mixed-citation></ref>
<ref id="r-1-26"><mixed-citation publication-type="journal"><person-group person-group-type="author"><string-name><surname>Roman</surname>, <given-names>C.T.</given-names></string-name>, <string-name><surname>Raposa</surname>, <given-names>K.G.</given-names></string-name>, <string-name><surname>Adamowicz</surname>, <given-names>S.C.</given-names></string-name>, <string-name><surname>James-Pirri</surname>, <given-names>M.-J.</given-names></string-name>, and <string-name><surname>Catena</surname>, <given-names>J.G.</given-names></string-name></person-group>, <year>2002</year>, <article-title>Quantifying vegetation and nekton response to tidal restoration of a New England salt marsh</article-title>: <source>Restoration Ecology</source>, v.&#x00A0;<volume>10</volume>, no.&#x00A0;<issue>3</issue>, p.&#x00A0;<fpage>450</fpage>&#x2013;<lpage>460</lpage>. [Also available at <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1046/j.1526-100X.2002.01036.x">https://doi.org/10.1046/j.1526-100X.2002.01036.x</ext-link>.]</mixed-citation></ref>
<ref id="r-1-27"><mixed-citation publication-type="web">Steinkamp, M., 2008. New England/mid-Atlantic coast bird conservation (BCR 30) implementation plan: Laurel, Md., Atlantic Coast Joint Venture, 251&#x00A0;p., accessed August&#x00A0;15, 2018, at <ext-link ext-link-type="uri" xlink:href="https://www.acjv.org/BCR_30/BCR30_June_23_2008_final.pdf">https://www.acjv.org/BCR_30/BCR30_June_23_2008_final.pdf</ext-link>.</mixed-citation></ref>
<ref id="r-1-28"><mixed-citation publication-type="web">U.S.&#x00A0;Fish and Wildlife Service [FWS], 2005, Maine Coastal Islands National Wildlife Refuge&#x2014;(formerly Petit Manan National Wildlife Refuge Complex)&#x2014;Final comprehensive conservation plan: U.S.&#x00A0;Fish and Wildlife Service, [variously paged], accessed September 14, 2021, at <ext-link ext-link-type="uri" xlink:href="https://www.fws.gov/uploadedFiles/Region_5/NWRS/North_Zone/Maine_Coastal_Islands/FinalCCP.pdf">https://www.fws.gov/uploadedFiles/Region_5/NWRS/North_Zone/Maine_Coastal_Islands/FinalCCP.pdf</ext-link>.</mixed-citation></ref>
<ref id="r-1-29"><mixed-citation publication-type="web">U.S.&#x00A0;Fish and Wildlife Service [FWS], 2016, Salt marsh integrity and Hurricane Sandy vegetation, bird and nekton data: U.S.&#x00A0;Fish and Wildlife Service database, <ext-link ext-link-type="uri" xlink:href="https://ecos.fws.gov/ServCat/Reference/Profile/121918">https://ecos.fws.gov/ServCat/Reference/Profile/121918</ext-link>.</mixed-citation></ref>
<ref id="r-1-30"><mixed-citation publication-type="web">U.S.&#x00A0;North American Bird Conservation Initiative, 2020, Bird conservation regions: U.S.&#x00A0;North American Bird Conservation Initiative web page, accessed July&#x00A0;6, 2020, at <ext-link ext-link-type="uri" xlink:href="https://nabci-us.org/resources/bird-conservation-regions/">https://nabci-us.org/resources/bird-conservation-regions/</ext-link>.</mixed-citation></ref>
<ref id="r-1-31"><mixed-citation publication-type="journal"><person-group person-group-type="author"><string-name><surname>Wigand</surname>, <given-names>C.</given-names></string-name>, <string-name><surname>Ardito</surname>, <given-names>T.</given-names></string-name>, <string-name><surname>Chaffee</surname>, <given-names>C.</given-names></string-name>, <string-name><surname>Ferguson</surname>, <given-names>W.</given-names></string-name>, <string-name><surname>Paton</surname>, <given-names>S.</given-names></string-name>, <string-name><surname>Raposa</surname>, <given-names>K.</given-names></string-name>, <string-name><surname>Vandemoer</surname>, <given-names>C.</given-names></string-name>, and <string-name><surname>Watson</surname>, <given-names>E.</given-names></string-name></person-group>, <year>2017</year>, <article-title>A climate change adaptation strategy for management of coastal marsh systems</article-title>: <source>Estuaries and Coasts</source>, v.&#x00A0;<volume>40</volume>, no.&#x00A0;<issue>3</issue>, p.&#x00A0;<fpage>682</fpage>&#x2013;<lpage>693</lpage>. [Also available at <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1007/s12237-015-0003-y">https://doi.org/10.1007/s12237-015-0003-y</ext-link>.]</mixed-citation></ref>
</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 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="pem18-0073_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="pem18-0073_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="pem18-0073_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="pem18-0073_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="pem18-0073_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="pem18-0073_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="pem18-0073_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="pem18-0073_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 Maine Coastal Islands National Wildlife Refuge</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 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 Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex; 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 Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex, Maine.</p></caption>
<long-desc>Utility gains increase at the highest rate from 0 to 40% native vegetation cover.</long-desc><graphic xlink:href="pem18-0073_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 Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex, Maine.</p></caption>
<long-desc>Utility gradually increases up to 40 animals per square meter.</long-desc><graphic xlink:href="pem18-0073_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 Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex, Maine.</p></caption>
<long-desc>Utility increases linearly in proportion to number of nekton species.</long-desc><graphic xlink:href="pem18-0073_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 Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex, Maine.</p></caption>
<long-desc>Utility increases linearly in proportion to number of birds per point.</long-desc><graphic xlink:href="pem18-0073_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 Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex, Maine.</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="pem18-0073_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 Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex, Maine.</p></caption>
<long-desc>Utility increases linearly in proportion to spiders per square meter.</long-desc><graphic xlink:href="pem18-0073_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 Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex, Maine.</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="pem18-0073_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 Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex, Maine.</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="pem18-0073_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 Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex, Maine.</p></caption>
<long-desc>Utility increases linearly in proportion to marsh surface elevation change.</long-desc><graphic xlink:href="pem18-0073_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 Petit Manan National Wildlife Refuge of the Maine Coastal Islands National Wildlife Refuge Complex, Maine.</p></caption>
<long-desc>Utility decreases linearly in proportion to pints of herbicide used. 1 or more pints used has 0 utility.</long-desc><graphic xlink:href="pem18-0073_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>
