Scientific Investigations Report 2006–5145

U.S. GEOLOGICAL SURVEY
Scientific Investigations Report 2006–5145

Back to Table of Contents

Evapotranspiration and Ground-Water Discharge

Ground water discharges from Death Valley primarily as springflow and seepflow. The largest discharge occurs from regional springs along the eastern margin of Death Valley (fig. 1), including Grapevine Springs and Staininger Spring in the northern part of the valley, Nevares, Travertine, and Texas Springs in the central part of the valley, and Saratoga Springs in the southern part of the valley. Significant quantities of water are diverted from many of the valley-margin springs to meet potable and operational needs associated with ongoing private and Federal activities in the park. The largest diversions occur from Nevares, Texas, and Travertine Springs in central Death Valley and Staininger Spring in northern Death Valley. Diversions are used to support both private and park facilities near Furnace Creek Ranch, park housing and office complexes at Cow Creek Camp near Nevares Spring, and park facilities at Scotty’s Castle near Staininger Spring (figs. 1 and 2).

Documented estimates of ground-water discharge from valley-margin springs are limited (Pistrang and Kunkel, 1964; Hunt and others, 1966; and Miller, 1977). Most historical estimates, solely, or in part, are based on limited and periodic springflow records. Estimates of discharge based entirely on springflow and seepflow measurements may be inaccurate if smaller springs and seeps are ignored, if channels are poorly defined, or if in-channel losses are high. However, in areas where most of the springflow and seepflow evaporates or is consumed by the local riparian vegetation, more accurate estimates of ground-water discharge can be derived from estimates of local ET.

Evapotranspiration

Water loss to the atmosphere by evaporation from open water and soil and transpiration by plants, collectively referred to as evapotranspiration (ET), is a primary mechanism in riparian areas for removing water from the soil and shallow water table. A change in the rate at which water is removed from the ground often is reflected in a change in the depth of the water table or the moisture content of the soil. As more water is removed locally by ET, the water table declines and soils dry. Conversely, as less water is removed, the water table rises and soils moisten. Similar responses in the water table and in the soil moisture content above that water table occur when local springflow changes. Increases in spring and seep discharge can result in more subsurface outflow, more vigorous vegetation, and an expanding riparian habitat; whereas decreases can result in less subsurface outflow, more stressed vegetation, and a dwindling riparian habitat. Changes in ET, the water table, subsurface outflow, and the extent and vigor of riparian vegetation all can be used as indicators of change in local ground-water discharge.

The volume of water lost to the atmosphere through ET can be computed as the product of the ET rate and the acreage of vegetation, open water, moist soil, or some combination thereof that contributes to ET. Past assessments of local and regional ground-water resources have used this calculation to estimate ground-water discharge throughout the DVRFS (Malmberg and Eakin, 1962; Walker and Eakin, 1963; Hunt and others, 1966; Malmberg, 1967; Miller, 1977; Laczniak and others, 1999, 2001; Reiner and others, 2002; and DeMeo and others, 2003).

Hunt and others (1966), Miller (1977), and DeMeo and others (2003) estimated ET from discharge areas in Death Valley. DeMeo and others (2003) focused only on discharge from the valley floor. Hunt and others (1966) focused on the valley south of Stovepipe Wells (fig. 1). Miller (1977) estimated discharge from ET in the Grapevine Springs area (fig. 1) and from springflow measurements elsewhere throughout the valley. The two earlier studies (Hunt and others, 1966; Miller, 1977) estimated ET rates from local pan-evaporation measurements and delineated the acreage contributing to ET using aerial photographs, field reconnaissance, and topographic maps; whereas, DeMeo and others (2003) computed ET rates for different vegetation and soils from energy-balance methods and satellite imagery (LANDSAT Thematic Mapper) to delineate contributing acreage.

This report presents estimates of ET from major spring-fed riparian areas along the eastern margin of Death Valley using an approach similar to that applied in DeMeo and others (2003) and Laczniak and others (1999, 2001). The underlying assumptions of this approach are that ET rates vary with soil wetness and the vegetation health, density, and type and that these variations can be characterized on the basis of similarities in vegetation and soil conditions. Units delineating areas of similar vegetation and soil conditions are determined on the basis of spectral similarities identified in remotely sensed images in combination with geographic information system techniques. A representative ET rate for each unit is computed from data collected at locations of similar vegetation and soil conditions. The unit ET rate is multiplied by its respective acreage to determine the total ET from the delineated unit. ET from an entire discharge area is calculated by summing the ET estimates for each of its component ET units.

The mean annual amount of ground water discharged by ET is estimated for each of the major springflow and seepflow areas along the eastern margin of Death Valley. These discharge areas include Grapevine Springs, Surprise Springs, and Staininger Spring in the northern part of the valley and Nevares Springs, Salt Springs, Texas Spring, and Travertine Springs in the central part of the valley. Discharge at Saratoga Springs was estimated in a recent study by DeMeo and others (2003). ET estimates given in this study were determined using rates presented in DeMeo and others (2003) and rates computed from micrometeorological data collected in a densely vegetated area near Grapevine Springs. In addition, high-resolution (13.1 ft) satellite imagery (IKONOS) was acquired and processed as part of this study and was used to accurately delineate the extent and estimate the acreage of riparian vegetation within each major spring-discharge area along the eastern margin of Death Valley.

Evapotranspiration Units

Recent studies have shown that ET from areas of ground-water discharge in the DVRFS varies with vegetation type and density, and soil characteristics (Laczniak and others, 1999, 2001; Reiner and others 2002; DeMeo and others, 2003). In general, the more dense and healthy the vegetation and the wetter the soil, the greater is the ET. These studies used spectral characteristics identified from satellite imagery to delineate similar vegetation and soil groupings within a discharge area. Spectral groupings were based on the degree to which different vegetation and soil reflect incoming solar radiation (Anderson and others, 1976, p. 2; American Society of Photogrammetry, 1983, p. 23–25; Goetz and others, 1983, p. 576–581) and are referred to as ET units in this report.

The mapping of vegetation and soil groupings using remotely sensed, multi-spectral imagery can be done by defining thresholds in a vegetation index or by land-cover classification. A vegetation index typically uses two spectral bands, one representing the red and the other the near-infrared wavelength of the electromagnetic spectrum; a land-cover classification uses all available spectral bands acquired within the visible, near, and short infrared wavelengths of the electromagnetic spectrum (Laczniak, 1999, p. 13–18). Recent studies of ET in the DVRFS (Laczniak and others, 1999, 2001; Reiner and others, 2002; DeMeo and others, 2003) have utilized Thematic Mapper (TM) imagery to map ET units. TM imagery has a resolution of about 100 ft (pixel size of about 100 ft by 100 ft) and includes six bands spanning wavelengths between 0.45 and 2.35 microns. TM imagery, although appropriate for delineating areas of broad, extensive vegetation, is less useful in smaller, more constrained areas of vegetation. Most vegetation common throughout the many spring-fed riparian areas along the eastern margin of Death Valley is restricted to relatively narrow drainages typically less than 50 ft in width. The spatial constraints imposed by the local vegetation preclude TM imagery as an accurate method to map ET units.

High-Resolution Multi-Spectral Imagery

High-resolution multi-spectral imagery was used to group riparian vegetation within the major spring-discharge areas along the eastern margin of Death Valley into general ET units delineated primarily on the basis of vegetation density. This high-resolution imagery was acquired by the IKONOS satellite that is equipped with sensors to measure reflected solar radiation from the Earth’s surface and radiation scattered from the atmosphere. Multi-spectral measurements of reflected and scattered radiation are made by the satellite imaging four bands, each spanning discrete wavelength bands within the visible or near-infrared (NIR) region of the electromagnetic spectrum. A more spatially resolved fifth band, referred to as the panchromatic band, also is acquired. This band spans a broader portion of the electromagnetic spectrum from the visible through near-infrared region. Band characteristics and spatial resolution of IKONOS panchromatic and multi-spectral data are listed in table 1.

Two areas in Death Valley were imaged as part of this study—Furnace Creek and Grapevine Springs (fig. 2). The Furnace Creek imagery was acquired on June 10, 2001, and Grapevine Springs imagery on July 16, 2001. Both panchromatic and multi-spectral data were acquired. In addition, pan-sharpened, natural-color images also were purchased. The pan-sharpening process produces higher resolution color images than could be achieved from the multi-spectral data alone. Although the sharpening process alters individual multi-spectral radiance values such that the image becomes unsuitable for most image processing procedures used to delineate and identify vegetation, the near aerial-photograph quality images were used to refine vegetation boundaries delineated from the multi-spectral data. Multi-spectral and pan-sharpened images of the Furnace Creek area generated from IKONOS data are compared in figure 3. IKONOS data were orthorectified for improved spatial accuracy. The rectification process removes distortions introduced during acquisition and resamples the image to a uniform grid size based on the specified map projection. The imagery acquired for this study has a root mean square error accuracy of ±13.1 ft. Spatial attributes are stored as Universal Transverse Mercator (UTM) coordinates referenced to North American Datum of 1983 (NAD83).

Calibration of Multi-Spectral Imagery

Spectral variations in individual pixel values of a multi-spectral image are caused primarily by differences in the way a land cover reflects solar energy. However, astronomic factors and atmospheric conditions can dramatically affect the spectral response measured by the satellite sensor by introducing temporal inconsistencies. These temporal inconsistencies make the development of a relation between spectral response and a specific land cover exceedingly difficult. One procedure commonly used to remove or reduce astronomic and atmospheric effects is to calibrate the imagery to reflectance values measured over a light and dark ground surface. The calibration process converts digital numbers acquired by the satellite to an apparent percent reflectance value for a given land cover.

The IKONOS imagery was calibrated using two large tarps (20 ft by 20 ft) placed on the ground during image acquisition. A black tarp was used to represent a dark body, and a white tarp to represent a bright body. The tarps were laid on a flat surface behind the National Park Service facility at Park Village near Furnace Creek. A solar radiometer was placed near the tarps to measure incoming solar radiation. Tarps were set out for about a 2-hour period on each day the satellite passed, straddling the time at which the satellite was to acquire the imagery.

The reflectance of each tarp was measured with an Analytical Spectral Devices (ASD) spectrometer. The instrument is a high performance single-beam field spectrometer that measures reflectance over the visible to short-wave infrared (SWIR) wavelength range and acquires single spectra in milliseconds from 0.35 to 2.50 microns. Reflectance data were collected on June 19, 2001, when outside temperatures ranged from just over 90°F in the late morning to over 105°F by late afternoon.

Spectra data also were collected at nine other sites between 9 a.m. and 3 p.m. These sites characterize homogeneous inorganic surfaces and specific vegetation species. Inorganic areas include the tarmac at the Furnace Creek airport, light tan clay deposits, the sand and gravel material near the tarp location, tan soil flooring of an old corral, and a gray sand and pebble xerophytic cover. Vegetation species include mesquite, saltcedar, desert wild grape, arrowweed, and seepweed. Typical spectra acquisitions are shown in figure 4. Field spectra acquired over tarps and vegetated and non-vegetated sites are plotted in figure 5. The reflectance of the black tarp tends to be consistent across the spectrum while that of the white tarp decreases dramatically at the higher wavelengths in the infrared region. The decrease in white reflectance is not problematic to the calibration of IKONOS data because IKONOS imagery includes only shorter wavelength bands.

Digital numbers in the two multi-spectral IKONOS images, representing the raw scaled-radiance values measured by the satellite sensor, were converted to percent reflectance using field spectra from the black and white tarps as calibration end points. Calibration tarps were recognized easily in the pan-sharpened and multi-spectral images of the Furnace Creek area. Digital numbers for pixels associated with the black tarp were lower than those associated with other pixels in the image, and numbers associated with the white tarp were higher. Field spectra for each tarp were converted to percent reflectance and averaged across the wavelengths defined by each IKONOS band. Averaged values were used as end points to develop linear equations that were used to convert digital numbers to percent reflectance. The measured percent reflectance and imaged digital numbers for the red and near-infrared bands of the black and white tarps are listed in table 2.

Although the two IKONOS images were acquired on different days and are separated by a distance of about 50 mi, the corrections used to calibrate the Furnace Creek imagery also were used to calibrate the Grapevine Springs imagery. In addition to distance, differences in atmospheric conditions caused by changes in windblown particulates also could affect the accuracy of the calibration. To evaluate potential differences in atmospheric conditions, solar-radiation data collected at the tarp site during both imagery acquisition periods were compared. Similarities in incoming solar radiation indicate similar atmospheric conditions during both acquisition periods, thus supporting the calibration of the Grapevine Springs imagery using the corrections developed for the Furnace Creek imagery.

Following calibration, field spectra were compared to IKONOS-derived reflectance values. Differences between reflectance values ranged from about 0.83 to 3.23 percent in the Furnace Creek area and from about 0.6 to 1.9 percent in the Grapevine Springs area. The small differences between field measurements and the calibrated imagery support the accuracy of the calibration procedure.

Evapotranspiration Unit Delineation

Two ET units (table 3) were delineated within each of the major spring-discharge areas along the eastern margin of Death Valley. Units were delineated independently from the calibrated IKONOS imagery using two different procedures—a vegetation index and a land-classification analysis. Because the study focus is on Grapevine Springs, the criteria used to delineate ET units was developed in the Grapevine Springs area and applied to other major discharge areas of interest. Unit delineations are not intended to be exact but rather generalizations of spatial changes in the vegetation density in an area.

The modified soil-adjusted vegetation index (MSAVI) developed by Qi and others (1994) was used to delineate ET units in the study area. The MSAVI was selected because it is one of only a few indices that attempts to reduce influences of bare soil. As is typical of most vegetation indices, the MSAVI is calculated using the percent reflectance of the red (band 3) and near-infrared (band 4) wavelengths. The index performs favorably for vegetation conditions typical of desert environments, and has been applied successfully by Nichols (2000) and Berger and others (2001) in ET studies of central Nevada. MSAVI distributions computed for the Grapevine Springs and Furnace Creek areas are shown in figure 6.

Dimensionless MSAVI values range from –1 to 1, with higher values indicating denser vegetation. An MSAVI value of 0.14 was determined to be the lower threshold of moderately dense vegetation, and a value of 0.25 to be the lower threshold of high-density vegetation. These threshold values were determined by comparing areas of known vegetation with MSAVI pixel values. Areas of moderate- and high-density vegetation were delineated by assigning pixels based on these “break” values to density groups listed in table 3. This process involved numerous iterations whereby vegetation groupings delineated from the imagery were field checked and noted differences remedied by adjusting the MSAVI threshold values until field and computed delineations were in general agreement. ET-unit acreage determined by this process for the Grapevine Springs area totals about 192 acres—of which 79 acres are moderate-density vegetation and 112 acres are high-density vegetation. MSAVI-delineated ET units in the Grapevine Springs discharge area are shown in figure 7.

Threshold values used to delineate ET units in the Grapevine Springs discharge area also were used to delineate ET units at Surprise Springs and Staininger Spring (fig. 8). ET-unit acreage for Grapevine Springs, Surprise Springs, and Staininger Spring discharge areas total about 240 acres (table 4).

ET units within the major spring-discharge areas of the Furnace Creek imagery were delineated using the same threshold MSAVI values established for the Grapevine Springs area (fig. 9). ET-unit acreage in the major spring-discharge areas of the Furnace Creek imagery total about 74 acres (table 5). Visual observations indicate that the distribution of vegetation in these discharge areas has been affected by spring diversion for local water supply and lawn irrigation.

ET units also were delineated independently using a land-cover classification. This process groups pixels into ET units on the basis of similarities in the shape and magnitude of their spectral response. A pixel’s spectral response, or spectral signature, typically is defined by the percent reflectance of all available bands in the visible and near-infrared regions of the electromagnetic spectrum (spectral bands 1, 2, 3, and 4 in IKONOS imagery). This procedure has been used successfully to delineate ET units in the major discharge areas of the DVRFS (Laczniak and others, 1999, 2001; Reiner and others, 2002). These studies provide additional detail on the land-classification process.

Unique sets of spectral signatures based on the four IKONOS bands were generated for the Grapevine Springs area using an unsupervised classification. The procedure identified a finite number of spectral signatures in the Grapevine imagery using the clustering method presented by Tou and Gonzalez (1974). These same signatures also were used to classify ET units in discharge areas in the Furnace Creek imagery. The classification process then assigned a spectral signature to each pixel in an image that was most similar in character. This process resulted in eight unique vegetation signatures for the Grapevine Springs area—three of which were combined to represent moderate-density vegetation and five of which were combined to represent high-density vegetation (fig. 10). Within the Grapevine Springs discharge area, ET-unit acreage delineated by land classification totals about 189 acres—88 acres of which are moderate-density vegetation and 101 acres are high-density vegetation (table 6).

ET units in Staininger Spring and Surprise Springs discharge areas were delineated by land classification using the eight spectral signatures used to classify pixels in the Grapevine Springs discharge area (fig. 11). ET-unit acreage delineated by land-cover classification for the Grapevine Springs, Staininger Spring, and Surprise Springs discharge areas totals 239 acres (table 6) and is nearly equivalent to that delineated from MSAVI values (table 4). The maximum difference in ET-unit acreage calculated by land-cover classification and MSAVI procedures for a discharge area in the Grapevine Springs imagery is about 1 percent, and for the acreage of any individual ET unit is about 11 percent (tables 4 and 6). The difference in acreage calculated for any one ET unit in a discharge area in the Grapevine Springs imagery is offset by that calculated for another ET unit.

ET-unit acreage delineated by land-cover classification (table 7) was significantly less than that delineated by MSAVI (table 5) for major discharge areas in the Furnace Creek imagery, where differences in acreage between the two methods were as much as 50 percent. Comparison of ET-unit distributions with high-resolution images and aerial photographs indicate that MSAVI delineations more accurately portray actual vegetation conditions in the major discharge areas of the Furnace Creek imagery than delineations by land classification. Inaccuracies in the ET-unit delineations by land-cover classification are presumed to be a consequence of using spectral signatures developed from the Grapevine Springs area rather than from the Furnace Creek area.

Evapotranspiration Rates

The rate at which water is evaporated into the atmosphere through the dual processes of evaporation and transpiration is referred to as the evapotranspiration or ET rate. In a ground-water discharge area, the ET rate depends on the availability of ground water and conditions specific to the area’s vegetation and soil. One site was selected in the Grapevine Springs discharge area to collect data from which an annual ET rate could be calculated. The site was selected specifically to develop an estimate of annual ET representative of the dense vegetation most typical of these spring-fed riparian areas. An ET rate given by DeMeo and others (2003) in their study of ground-water discharge from the floor of Death Valley was used to represent the ET rate of moderate-density vegetation.

Evapotranspiration and Surface-Flow Sites

The Grapevine Spring ET site was in an area of dense vegetation dominated by desert wild grape (Vitis girdiana; figs. 12 and 13). Desert wild grape currently grows in the Grapevine Springs and Staininger Spring areas (fig. 6), and in a few other small discharge areas in the Death Valley area. Prior to springflow diversions for local water supply at Furnace Creek Ranch, desert wild grape was known to have grown in channels draining the regional springs in the Furnace Creek area.

Vegetation at the Grapevine Springs ET site is typical of the dense riparian vegetation throughout the area. Vegetation averages about 5 ft in height with an occasional large tree protruding from the regional canopy. Other phreatophytic vegetation present near the site in less abundance includes sparse arrowweed, mesquite, and desert willow. A narrow band of saltgrass and yerba mansa grows along the outer fringe of the dense vegetation. As determined from spectral analysis, the site is typical of the dense riparian habitat throughout the region. The ET site is on a slightly southwest sloping surface about 350 ft east of Scotty’s Ranch house (fig. 12; table 8).

The ET site was instrumented to collect the micrometeorological data needed to compute ET using the Bowen ratio (Bowen, 1926) to solve the energy budget. Instrumentation included paired temperature and humidity probes, multiple soil heat-flux plates, multiple soil-temperature probes, and a net radiometer (fig. 13; table 9). The paired temperature and humidity probes provide the data used to calculate temperature and vapor pressure gradients above the canopy. The two probes are separated by about 3.3 ft with the lowermost probe set about a 1.5 ft above average canopy height. The site also included a pressure sensor that was set in a shallow water-table well to acquire information to calculate daily and annual water-level fluctuations. A wind speed and direction sensor and a bulk rain gage also were installed to provide supporting climate data. Climate measurements were averaged and recorded over 20-minute intervals. Ground-water levels were measured and recorded hourly. Bulk precipitation was measured and recorded only during near-monthly field visits.

The ET site was located specifically to allow year-round access and adequate fetch. Fetch refers to a generally homogeneous area of vegetation upwind of the instrumentation. In general, fetch should be at least 100 times the distance between the uppermost instrument and the surface of the vegetation. Although ET sites typically are set up at locations having a flat lying ground surface, a slight (less than 5 percent) southwest slope exists at the Grapevine Springs ET site. The slightly sloping ground surface is mitigated by the height of the vegetation, which forms a more flat surface along the vegetation-air interface. Two surface-water-flow measurement sites also were established west of Scotty’s Ranch house and downslope of the ET site (fig. 12). These sites were along two primary channels draining nearby springs and seeps. Flow measurements were made during ET site visits using a portable Parshall flume.

Data collection at the Grapevine Springs ET site started September 27, 2000, and ended November 4, 2002. A typical, 50-day period of recorded values is shown in figure 14. Daily minimum, average, and maximum values computed from the 20-minute measurements are shown for the entire period of record in figure 15. Precipitation, water-level, and surface-water-discharge measurements also were collected during the study to better evaluate the temporal changes in computed ET (fig. 16; tables 10–12). All data collected during the study are available from the U.S. Geological Survey, Henderson, Nevada.

Precipitation data (fig. 16; table 12) indicate that about 90 percent of the rainfall occurred during the first one-half of the approximately 2-year study period. Trends in the ground-water level, surface-water discharge, air temperature, and humidity (figs. 15 and 16) all indicate a response to the higher precipitation period. Ground-water levels (fig. 16; table 10) indicate about 1.2 ft of annual fluctuation and generally were a few tenths of a foot higher in water year 2001 than in 2002. These slightly higher water levels are attributed to greater precipitation.

Surface-water discharge data (figs. 12 and 16; table 11) indicate differences within and between sites. Measured discharge at GVSF-2 generally was higher than that measured at GVSF-1. The largest annual fluctuation in measured discharge was at GVSF-2 in water year 2001, where discharges ranged from about 25 gal/min in late winter to less than 1 gal/min in late summer (table 11). In water year 2002, the annual discharge fluctuation at GVSF-2 was less, with discharges ranging about 16 gal/min in late winter to about 3 gal/min in late summer. Surface-water discharge at GVSF-1 ranged from about 12 gal/min in late winter to about 2 gal/min in later summer and exhibited less annual fluctuation and a more consistent fluctuation between years. The decrease in surface-water discharge during spring and summer is attributed to increasing evapotranspiration by local riparian vegetation. The increased discharge, particularly at GVSF-2, in the winter of the water year 2001 is attributed to local runoff associated with higher precipitation.

Computed Energy-Budget Fluxes and Evapotranspiration

ET at the Grapevine Springs ET site was computed using the Bowen ratio (Bowen, 1926) to solve the energy budget. This technique has been applied successfully to estimate ET throughout the western part of southern Nevada and the Death Valley region of California (Laczniak and others, 1999; Reiner and others, 2002; DeMeo and others, 2003). The Bowen ratio, a relation between latent and sensible heat fluxes, is used to solve the energy budget. At the Grapevine Springs ET site, the energy budget can be expressed mathematically in terms of its principle flux components as:

Figure - refer to figure caption for alternative text description,     (1)

where

Figure - refer to figure caption for alternative text description

is

net radiation (energy per area per time),

H

is

sensible heat flux (energy per area per time),

G

is

subsurface heat flux (energy per area per time), and

Figure - refer to figure caption for alternative text description

is

latent heat flux (energy per area per time).

where

Figure - refer to figure caption for alternative text description

is latent heat of vaporization for water (energy per mass), and

E

is the rate of water evaporation or the mass flux of water vapor (mass per area per time).

The Bowen ratio, Figure - refer to figure caption for alternative text description, can be computed by multiplying the ratio between the measured temperature and vapor pressure gradients by the psychometric constant as:

Figure - refer to figure caption for alternative text description,     (2)

where

Figure - refer to figure caption for alternative text description

is

temperature at lower or upper reference point,

Figure - refer to figure caption for alternative text description

is

vapor pressure at lower or upper reference point, (force per area), and

Figure - refer to figure caption for alternative text description

is

the psychometric constant (presure per temperature).

Latent heat then can be calculated by substituting the Bowen ratio into a rearranged form of the energy-budget equation as:

Figure - refer to figure caption for alternative text description,     (3)

Some conditions exist for which the Bowen ratio becomes unstable, such as when the Bowen ratio approaches –1. Under these conditions, the equation describing latent heat as a function of the Bowen ratio approaches infinity. During these infrequent periods, latent heat was set using a filtering algorithm that estimates the Bowen ratio based on preceding and following values. This and other potential errors associated with applying the Bowen ratio to solve the energy budget can be found in many standard texts and in a paper by Ohmura (1982). A more detailed description of the Bowen ratio solution and its associated instrumentation is given in Laczniak and others (1999).

Latent and sensible heat fluxes were calculated from 20-minute micrometeorologic and flux measurements made at the Grapevine Springs ET site. Computed and measured 20-minute, energy-budget fluxes for a typical 10-day period are shown in figure 17. The figure also shows ground-water levels measured over this same 10-day period. The trend in daily water level is inversely related to latent heat flux—as latent heat flux increases, about mid-morning, water levels start declining.

ET, defined here as the amount of liquid water lost through the mass flux of water vapor associated with the latent heat flux, is calculated directly from latent heat flux using the equation:

Figure - refer to figure caption for alternative text description,     (4)

where

ET

is

evaporation (length per time),

Figure - refer to figure caption for alternative text description

is

the density of water (mass per volume), and

Figure - refer to figure caption for alternative text description

is

latent heat flux (energy per unit area per time).

Calculated daily ET and mean daily ground-water level are shown in figure 18, and monthly values are shown in figure  19 for the entire study period. Monthly ET shows an inverse relation to water level similar to that shown by daily values of ET and water level—as ET begins to increase in April, water levels begin to decline, and when ET decreases in September, water levels rise. The slightly greater ET and higher water levels in water year 2001 compared to 2002 are likely a consequence of greater precipitation during water year 2001.

Daily ET begins increasing in late spring and peaks in the early through mid-summer period (June and July; figs. 18 and 19). During this peak period, daily ET ranged from about 0.18 to 0.25 in., and monthly ET ranged from about 5.7 to 6.2 in. ET totaled about 2.7 ft in water year 2001 (Oct. 2000–Sept. 2001) and totaled about 2.3 ft in water year 2002 (Oct. 2001–Sept. 2002; figs. 18 and 19). The greater ET in water year 2001 is attributed to the greater precipitation. The approximate difference in precipitation between the two water years (fig. 16; table 12) is about 0.6 ft or only about 0.2 ft more than the difference in computed ET.

The daily ground-water-level fluctuation varied from near zero in the mid-winter months to a maximum of about 2.3 in. in the mid- and late-summer months (fig. 20). During the active ET period (late spring through summer; fig. 19), the daily change in ground-water level greatly exceeded measured ET (fig. 20). The specific yield is defined as the volume of water a unit volume of saturated permeable rock releases when drained by gravity. Thus, the specific yield can be calculated by dividing the volume of water released by the ground-water-level change. Assuming that the measured daily change in water level is a response solely to computed daily ET, the specific yield of the saturated sediment tapped by the local vegetation at the Grapevine Springs ET site can be calculated as the daily ET divided by the daily change in ground-water level. This approach assumes that any water replacing that removed by ET from the saturated sediment is minimal. Because this assumption may not be entirely accurate, the specific yield calculated by this method is referred to as apparent. The apparent specific yield for the active ET period (daily ET greater than 0.025 in.) during water year 2002 ranges from about 0.08 to 0.26 in. (fig. 20). The daily change in water level likely is moderated by water flowing laterally from adjacent areas to replace that removed by ET. Because lateral inflow lessens the magnitude of the daily ground-water-level change, the apparent specific yield is presumed to be a maximum value. Although the apparent specific yield is inexact, it does fall within the range expected for the clayey sand and sandy clay present at the water table. Moreover, the similarity in trends between daily ET and daily changes in the ground-water level indicate that ET likely is the primary process affecting the water table.

Mean Annual Ground-Water Discharge by Evapotranspiration

Regional ground-water discharge in the study area occurs primarily as springflow and seepflow. Quantifying regional discharge by totaling springflow and seepflow in each discharge area is difficult because flows seldom are directed into measurable channels, and many of the springs and seeps are small and hidden by a dense cover of vegetation. Alternatively, in areas where a significant amount of discharge evaporates or infiltrates into the shallow water-table aquifer and later is transpired by the local riparian vegetation, ground-water discharge can be estimated accurately from ET.

The volume of ET that occurs over a specific surface is the product of the surface area that contributes to ET and the average ET rate at the surface during the period of interest. Accordingly, mean annual ET from a discharge area can be estimated knowing the rate of annual ET and acreages of the different vegetation present in the discharge area. Because measured ET rates are inclusive of water that originates from sources such as precipitation or surface inflow, any contribution from sources other than ground water must be removed prior to estimating ground-water discharge from ET.

The mean annual discharge of ground water by ET from each major spring-discharge area along the eastern margin of Death Valley was estimated by summing mean annual discharges computed for delineated units of moderate- and high-density vegetation (table 3). Annual discharge from each ET unit was calculated volumetrically as the product of its acreage (as delineated by spectral analysis; tables 4 and 6) and estimated mean annual ground-water ET rate.

Mean annual ET was calculated for high-density vegetation at the Grapevine Springs site by averaging ET computed for three different 365-day periods within the 2-year collection period (table 13). The ground-water component of ET during these three 365-day periods, calculated by subtracting measured precipitation from ET, ranged from 2.1 to 2.3 ft and averaged 2.2 ft (table 13). The average value, 2.2 ft, is considered a reasonable estimate of mean annual ET because the record spanned both a wet and dry year. A value of 2.0 ft was used to represent the mean annual ground-water discharge by ET for the moderate-density ET unit. This value is taken from DeMeo and others (2003, p. 24), who determined that this rate is representative of annual ET for similar, moderate-density vegetation growing along the valley floor.

The mean annual discharge of ground water by ET computed for each ET unit and major spring-discharge area is listed in table 14. Volumetric discharge was calculated using acreages delineated from MSAVI analysis. MSAVI-delineated units were used because they best represented the overall distribution of the vegetation within all spring-discharge areas. Mean annual discharge for major spring-discharge areas in the Grapevine Springs imagery ranged from 9 to 405 acre-ft, and in the Furnace Creek imagery from 21 to 61 acre-ft. The Grapevine Springs discharge area has the highest estimated ground-water discharge and Surprise Spring has the least (table 14).

Estimates listed in table 14 represent ground water used by local riparian vegetation. The discharge estimate for the Grapevine Springs discharge area represents the total quantity of ground water discharged annually from the area’s local springs and seeps because no water is diverted from or imported into the area. The discharge estimates also equate to the approximate ground-water requirement of the area’s natural riparian vegetation. Estimating the total quantity of ground water discharged from springs and seeps in the other major spring discharge areas (Staininger, Surprise, Nevares, Cow Creek–Salt, Texas, and Travertine Springs) is complicated by local water diversions. Discharge measurements along the diversions have been inconsistent and intermittent, and the amount of water that is diverted and recycled back into the shallow flow system or applied for turf watering is uncertain. An accurate estimate of the total volume of ground water discharged from these springs and seeps requires that the estimate listed in table 14 be increased by the quantity of water diverted, and reduced by an amount equal to that estimated for vegetation maintained by watering. The acreage of only spring-fed vegetation could be calculated by carefully removing the vegetation sustained by local watering.

Estimates of ground-water discharge presented in this report are difficult to compare to published estimates because they often represent different hydrologic or environmental conditions. For example, most published estimates are based on measurements of flow in a channel that drains only a portion of the springs within the discharge area. The one exception is Miller (1977, p. 25 and 33), who provides an estimate of total discharge from the Grapevine Springs complex. He estimates annual discharge from the spring complex at more than 725 acre‑ft and ET at 700 acre‑ft. These estimates are based on selected springflow measurements and an estimated phreatophyte area of about 150 acres, of which 100 acres are densely vegetated. Based on Miller’s numbers, the area-weighted annual ET rate of the Grapevine Springs vegetation would be 4.7 ft. A rate of this magnitude is not supported in the literature. The discharge estimate for Grapevine Springs presented in this report (405 acre-ft; table 14), assumes about 191 acres of phreatophyte vegetation and an area-weighted ground-water ET rate of about 2.1 ft/yr—a rate generally consistent with, although slightly lower than, literature-reported values for similar vegetation (DeMeo and others, 2003, p. 24; Reiner and others, 2002, table 5).

Acknowledging that a rate of 2.1 ft/yr may be too low for the high-density vegetation in the Grapevine Springs area (see “Limitations of Methodology” section), discharge was computed using an area-weighted ground-water ET rate of 2.8 ft/yr—the value given in Reiner and others (2002, table 5) for dense meadow vegetation in nearby Oasis Valley. Assuming that this higher ET rate better represents the high-density vegetation at Grapevine Springs, the mean annual ground-water discharge computed using 191 acres (table 14) is 535 acre‑ft. Allowing for some uncertainty in the ET rate, a range bracketing a reasonable estimate of the ground water discharged annually by the riparian vegetation at Grapevine Springs is from 400 to 550 acre-ft.

Limitations of Methodology

The overall accuracy of the estimates given for ground-water discharge by ET depends on the validity of the assumptions made in calculating volumetric discharge; and on any errors in the acreage, ET rate, and ground-water ET rate estimated for delineated ET units. Assumptions affecting the accuracy of discharge estimates are: (1) that the precipitation component of ET can be removed by subtracting measured precipitation at the site, (2) that no sources other than precipitation and ground water contribute water to ET, (3) that ground water is evaporated and transpired only from those areas delineated as part of an ET unit, (4) that the variation in ET within a discharge area can be adequately described using only two ET units, and (5) that ET rates assigned to each ET unit adequately represent the average for that unit. The estimate also depends on the validity of the assumption that all springflow and seepflow is evaporated or transpired internally. The potential error resulting from any of these assumptions is not expected to significantly alter the estimates presented in this report.

Errors associated with acreage estimates are largely dependent on the quality and resolution of the multi-spectral imagery and on the method used to delineate ET units. IKONOS imagery is appropriate for identifying most phreatophyte distributions within the spring-fed discharge areas of the study area. Although ET units were delineated for discharge areas in both the Grapevine Springs and Furnace Creek imagery, a rigorous field-based verification was done only for the Grapevine Springs discharge area. Verification of the ET units delineated in other discharge areas was done only by comparing remotely sensed delineations with high resolution color-infrared images and aerial photographs. It is expected that delineations of ET units in the Furnace Creek imagery could be improved with field-based refinement. Acreage estimates for ET units in discharge areas within the Grapevine Springs imagery are considered more accurate as a result of field verification.

Delineations based on multiple years of multi-spectral imagery would provide more confidence in estimates intended to represent the long-term average of vegetated acreage. ET-unit delineations and acreages were determined from imagery acquired on a single date (June 10, 2001, for the Furnace Creek area; and July 16, 2001, for the Grapevine Springs area). Late June (near the summer solstice) typically is considered the period of the year when the phreatophytic vegetation is of high vigor. Because of poor atmospheric conditions, good-quality imagery for the Grapevine Springs area could not be acquired earlier than mid-July 2001. However, higher-than-normal precipitation in the first one-half of 2001 maintained robust vegetation throughout July, making the Grapevine Springs imagery acceptable for mapping ET units by multi-spectral methods (fig. 16). Although these dates are assumed adequate for mapping average vegetation and soil conditions, some changes in vegetation do occur from one year to the next. Annual vegetation changes result from increases or decreases in precipitation, which affects local vegetation, soil-moisture conditions, and the depth to the water table—all of which affect ET rates. Potential errors in estimates of the annual ET rate are linked to limitations in the Bowen ratio solution and the assumption that the values estimated represent annual and spatial averages. Because mean annual ET was computed from measurements made during a relatively short period (about 2 years) and at a limited number of ET sites, the confidence in these estimates could be improved with additional temporal and spatial data. Limitations specific to the Bowen ratio solution are discussed in Laczniak and others (1999) and Ohmura (1982).

The slight southwest slope of the canopy surface may affect the accuracy of the annual ET rate estimated for high-density vegetation at the Grapevine Springs ET site. Ideally, the fetch of the site should be flat when using the Bowen ratio to solve the energy budget. To evaluate the effect of a slightly sloping surface at the site, the net radiation measured over a 10-day, active period of ET was corrected for a 10-percent south-southwest slope using theoretical adjustments given in Frank and Lee (1966). This analysis indicated that the corrected daily net radiation was at most 10 percent greater than measured net radiation. Assuming the worst case—that the 10 percent increase in net radiation translates to 10 percent greater annual ET for high-density vegetation—the mean annual discharge for the Grapevines Springs discharge area would increase from 405 acre-ft (table 13) to 428 acre-ft. This higher volume is already within the estimated range of 400–550 acre-ft for annual ground-water discharge by riparian vegetation from the Grapevine Springs discharge area. A higher annual ET rate for the high-density ET also may be appropriate for other discharge areas in the study area. Although a higher annual ET rate would increase the volume estimated, the increase depends on the acreage estimated for high-density vegetation within a particular discharge area.

Estimates of mean annual ET for moderate- and high-density vegetation are based on limited spatial data. Some spatial and temporal variability is expected in delineated ET units. Longer term data and additional ET-site installations would increase confidence in annual ET estimates presented in this report.

As stated previously in this report, estimates of ground-water discharge account only for ground water lost to the atmosphere by evapotranspiration, and are not inclusive of any springflow diverted, evaporated, or transpired outside the discharge area. Absent knowledge or estimates of other outflow, values given in this report should be considered minimum estimates of the volume of ground water discharged from these major spring complexes.

Back to Table of Contents


AccessibilityFOIAPrivacyPolicies and Notices

Take Pride in America home page.FirstGov buttonU.S. Department of the Interior | U.S. Geological Survey
Persistent URL: https://pubs.water.usgs.gov/sir20065145
Page Contact Information: Publications Team
Page Last Modified: Thursday, 01-Dec-2016 19:17:25 EST