<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "https://jats.nlm.nih.gov/nlm-dtd/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="3.0" xml:lang="en">
<front>
<journal-meta>
<journal-id journal-id-type="publisher">HESS</journal-id>
<journal-title-group>
<journal-title>Hydrology and Earth System Sciences</journal-title>
<abbrev-journal-title abbrev-type="publisher">HESS</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Hydrol. Earth Syst. Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1607-7938</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/hess-14-2099-2010</article-id>
<title-group>
<article-title>Modeling the monthly mean soil-water balance with a statistical-dynamical ecohydrology model as coupled to a two-component canopy model</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Kochendorfer</surname>
<given-names>J. P.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ramírez</surname>
<given-names>J. A.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Department of Civil and Environmental Engineering, Colorado State University, Ft. Collins, CO 80523, USA</addr-line>
</aff>
<pub-date pub-type="epub">
<day>27</day>
<month>10</month>
<year>2010</year>
</pub-date>
<volume>14</volume>
<issue>10</issue>
<fpage>2099</fpage>
<lpage>2120</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2010 J. P. Kochendorfer</copyright-statement>
<copyright-year>2010</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions>
<self-uri xlink:href="https://hess.copernicus.org/articles/14/2099/2010/hess-14-2099-2010.html">This article is available from https://hess.copernicus.org/articles/14/2099/2010/hess-14-2099-2010.html</self-uri>
<self-uri xlink:href="https://hess.copernicus.org/articles/14/2099/2010/hess-14-2099-2010.pdf">The full text article is available as a PDF file from https://hess.copernicus.org/articles/14/2099/2010/hess-14-2099-2010.pdf</self-uri>
<abstract>
<p>The statistical-dynamical annual water balance model of Eagleson (1978) is a
pioneering work in the analysis of climate, soil and vegetation interactions.
This paper describes several enhancements and modifications to the model that
improve its physical realism at the expense of its mathematical elegance and
analytical tractability. In particular, the analytical solutions for the root
zone fluxes are re-derived using separate potential rates of transpiration
and bare-soil evaporation. Those potential rates, along with the rate of
evaporation from canopy interception, are calculated using the two-component
Shuttleworth-Wallace (1985) canopy model. In addition, the soil column is
divided into two layers, with the upper layer representing the dynamic root
zone. The resulting ability to account for changes in root-zone water storage
allows for implementation at the monthly timescale. This new version of the
Eagleson model is coined the Statistical-Dynamical Ecohydrology Model (SDEM).
The ability of the SDEM to capture the seasonal dynamics of the local-scale
soil-water balance is demonstrated for two grassland sites in the US Great
Plains. Sensitivity of the results to variations in peak green leaf area
index (LAI) suggests that the mean peak green LAI is determined by some
minimum in root zone soil moisture during the growing season. That minimum
appears to be close to the soil matric potential at which the dominant grass
species begins to experience water stress and well above the wilting point,
thereby suggesting an ecological optimality hypothesis in which the need to
avoid water-stress-induced leaf abscission is balanced by the maximization of
carbon assimilation (and associated transpiration). Finally, analysis of the
sensitivity of model-determined peak green LAI to soil texture shows that the
coupled model is able to reproduce the so-called &quot;inverse texture effect&quot;,
which consists of the observation that natural vegetation in dry climates
tends to be most productive in sandier soils despite their lower water
holding capacity. Although the determination of LAI based on complete or
near-complete utilization of soil moisture is not a new approach in
ecohydrology, this paper demonstrates its use for the first time with a new
monthly statistical-dynamical model of the water balance. Accordingly, the
SDEM provides a new framework for studying the controls of soil texture and
climate on vegetation density and evapotranspiration.</p>
</abstract>
<counts><page-count count="22"/></counts>
</article-meta>
</front>
<body/>
<back>
<ref-list>
<title>References</title>
<ref id="ref1">
<label>1</label><mixed-citation publication-type="other" xlink:type="simple"> Bond, J. J. and Willis, W. O.: Soil water evaporation: surface residue rate and placement effects, Soil Sci. Soc. Am. Pro., 33, 445–448, 1969. </mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple"> Braud, I., Dantasantonino, A. C., Vauclin, M., Thony, J. L., and Ruelle, P.: A Simple Soil-Plant-Atmosphere Transfer (SiSPAT) model: Development and field verification, J. Hydrol., 166(3–4), 213–250, 1995. </mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple"> Brooks, R. H. and Corey, A. T.: Properties of porous media affecting fluid flow, Journal of Irrigation Drainage Division of American Society of Civil Engineers, IR2, 61–88, 1966. </mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple"> Brutsaert, W. and Chen, D.: Desorption and the two stages of drying of natural tallgrass prairie, Water Resour. Res., 31(5), 305–1313, 1995. </mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple"> Camillo, P. J. and Gurney, R. J.: A resistance parameter for bare-soil evaporation models, Soil Sci., 141, 95–105, 1986. </mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple"> Carslaw, H. S. and Jaeger, J. C.: Conduction of Heat in Solids, Oxford University Press, New York, 510~pp., 1959. </mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple"> Carter, T. R., Hulme, M., and Viner, D.: Representing uncertainty in climate change scenarios and impact studies. Report no. 1, ECLAT-2 Workshop. Climate Research Unit, University of East Anglia, Norwich, UK, 125~pp., 1999. </mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple"> Choudhury, B. J. and Monteith, J. L.: A four-layer model for the heat budget of homogeneous land surfaces, Q. J. Roy. Meteor. Soc., 114, 373–398, 1988. </mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple"> Cosby, B. J., Hornberger, G. M., Clapp, R. B., and Ginn, T. R.: A statistical exploration of the relationships of soil moisture characteristics to the physical properties of soils, Water Resour. Res., 20(6), 682–690, 1984. </mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple"> Cowan, I. R.: Transport of water in the soil-plant-atmosphere system, J. Appl. Ecol., 2, 221–239, 1965. </mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple"> Dickinson, R. E., Henderson-Sellers, A., and Kennedy, P. J.: Biosphere-Atmosphere Transfer Scheme (BATS) Version 1e as Coupled to the NCAR Community Climate Model, University Corporation for Atmospheric Research, Boulder, CO., 69~pp., 1993. </mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple"> Eagleson, P. S.: Climate, soil, and vegetation: 1. Introduction to water balance dynamics, Water Resour. Res., 14(5), 705–712, 1978a. </mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple"> Eagleson, P. S.: Climate, soil, and vegetation: 2. The distribution of annual precipitation derived from observed sequences, Water Resour. Res., 14(5), 713–721, 1978b. </mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple"> Eagleson, P. S.: Climate, soil, and vegetation: 3. A simplified model of soil moisture movement in the liquid phase, Water Resour. Res., 14(5), 722–730, 1978c. </mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple"> Eagleson, P. S.: Climate, soil, and vegetation: 4. The expected value of annual evapotranspiration, Water Resour. Res., 14(5), 731–739, 1978d. </mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple"> Eagleson, P. S.: Climate, soil, and vegetation: 5. A derived distribution of storm surface runoff, Water Resour. Res., 14(5), 740–748, 1978e. </mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple"> Eagleson, P. S.: Climate, soil, and vegetation: 6. Dynamics of the annual water balance, Water Resour. Res., 14(5), 749–764, 1978f. </mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple"> Eagleson, P. S.: Climate, soil, and vegetation: 7. A derived distribution of annual water yield, Water Resour. Res., 14(5), 765–776, 1978g. </mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple"> Eagleson, P. S.: Ecological Optimality in water-limited natural soil-vegetation systems 1. Theory and hypothesis, Water Resour. Res., 18, 325–340, 1982. </mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple"> Eagleson, P. S.: Ecohydrology: Darwinian expression of vegetation form and function. Cambridge University Press, Cambridge, UK, 443~pp., 2002. </mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple"> Eagleson, P. S. and Tellers, T. E.: Ecological Optimality in water-limited natural soil-vegetation systems 2. Tests and applications, Water Resour. Res., 18, 341–354., 1982. </mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple"> Entekhabi, D. and Eagleson, P. S.: Landsurface hydrology parameterization for atmospheric general circulation models including subgrid scale spatial variability, J. Clim., 2, 816–831, 1989. </mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple"> Epstein, H. E., Lauenroth, W. K., and Burke, I. C.: Effects of temperature and soil texture on ANPP in the US great plains, Ecology, 78, 2628–2631, 1997b. </mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple"> Federer, C. A.: A soil-plant-atmosphere model for transpiration and availability of soil water, Water Resour. Res., 15, 555–562, 1979. </mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple"> Ferretti, D. F., Pendall, E., Morgan, J. A., Nelson, J. A., LeCain, D., and Mosier, A. R.: Partitioning evapotranspiration fluxes from a Colorado grassland using stable isotopes: Seasonal variations and ecosystem implications of elevated atmospheric CO&lt;sub&gt;2&lt;/sub&gt;, Plant. Soil, 254, 291–303, 2003. </mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple"> Gardner, W. R.: Dynamic aspects of water availability to plants, Soil Sci., 89, 63–73, 1960. </mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple"> Guswa, A. J., Celia, M. A., and Rodriguez-Iturbe, I.: Models of soil moisture dynamics in ecohydrology: A comparative study, Water Resour. Res., 38, 1166–1181, 2002. </mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple"> Hatton, T. J., Salvucci, G. D., and Wu, H. I.: Eagleson&apos;s optimality theory of an ecohydrological equilibrium: quo vadis?, Ecology, 11, 665–674, 1997. </mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple"> Hazlett, D.: Leaf area development of four plant communities in the Colorado steppe, The American Midland Naturalist, 127, 276–289, 1992. </mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple"> Jackson, R. B., Canadell, J., Ehleringer, J. R., Mooney, H. A., Sala, O. E., and Schulze, E. D.: A global analysis of root distributions for terrestrial biomes, Oecologia, 108, 389–411, 1996. </mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple"> Jones, R. N.: Managing uncertainty in climate change projections – issues for impact assessment, Climatic Change, 45, 403–419, 2000. </mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple"> Kergoat, L.: A model for hydrological equilibrium of leaf area index on a global scale, J. Hydrol., 213(1–4), 268–286, 1998. </mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple"> Kerkhoff, A. J., Martens, S. N., and Milne, B. T.: An ecological evaluation of Eagleson&apos;s optimality hypotheses, Funct. Ecol., 18, 404–413, 2004. </mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple"> Kittel, T. G. F., Rosenbloom, N. A., Painter, T. H., Schimel, D. S., and Participants, V. M.: The VEMAP integrated database for modeling United States ecosystem/vegetation sensitivity to climate change, J. Biogeogr., 22(4–5), 857–862, 1995. </mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple"> Knight, D.: Leaf area dynamics of a shortgrass prairie in Colorado, Ecology, 54, 891–896, 1973. </mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple"> Kochendorfer, J. P.: A monthly, two-soil-layer statitistical-dynamical water balance model for ecohydrologically focused climate impact assessment, Ph.D. dissertation, Department of Civil Engineering, Colorado State University, Fort Collins, CO, 211~pp., 2005. </mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple"> Kochendorfer, J. P. and Ram\&apos;irez, J. A.: Ecohydrological controls on vegetation density and evapotranspiration partitioning across the climatic gradients of the central United States, Hydrol. Earth Syst. Sci., 14, 2121–2139, https://doi.org/10.5194/hess-14-2121-2010, 2010. </mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple"> Lafleur, P. M. and Rouse, W. R.: Application of an energy combination model for evaporation from sparse canopies, Agr. Forest. Meteorol., 49, 135–153., 1990. </mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple"> Laio, F., Porporato, A., Fernandez-Illescas, C. P., and Rodriguez-Iturbe, I.: Plants in water-controlled ecosystems: active role in hydrologic processes and response to water stress IV. Discussion of real cases, Adv. Water Resour., 24, 745–762, 2001. </mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple"> Lee, C. A. and Lauenroth, W. K.: Spatial distributions of grass and shrub root systems in the shortgrass steppe American Midland Naturalist, 132, 117–123, 1994. </mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple"> Loague, K.: Soil water content a R-5. Part 1. Spatial and temporal variability, J. Hydrol., 139, 233–251, 1992. </mixed-citation>
</ref>
<ref id="ref42">
<label>42</label><mixed-citation publication-type="other" xlink:type="simple"> Loague, K. and Gander, G. A.: R-5 Revisited: 1. Spatial variability of infiltration on a small rangeland catchment, Water Resour. Res., 26(5), 957–971, 1990. </mixed-citation>
</ref>
<ref id="ref43">
<label>43</label><mixed-citation publication-type="other" xlink:type="simple"> Luxmoore, R. J. and Sharma, M. L.: Runoff responses to soil heterogeneity: Experimental and simulation comparisons for two contrasting watersheds, Water Resour. Res., 16, 675–684, 1980. </mixed-citation>
</ref>
<ref id="ref44">
<label>44</label><mixed-citation publication-type="other" xlink:type="simple"> Massman, W. J.: A Surface-Energy Balance Method for Partitioning Evapotranspiration data into Plant and Soil components for a surface with Partial Canopy Cover, Water Resour. Res., 28(6), 1723–1732, 1992. </mixed-citation>
</ref>
<ref id="ref45">
<label>45</label><mixed-citation publication-type="other" xlink:type="simple"> Milly, P. C. D.: Climate, soil water storage, and the average annual water balance, Water Resour. Res., 30(7), 2143–2156, 1994. </mixed-citation>
</ref>
<ref id="ref46">
<label>46</label><mixed-citation publication-type="other" xlink:type="simple"> Monteith, J. L.: Evaporation and the environment, Symposia of the Society for Experimental Biology, 19, 205–234, 1965. </mixed-citation>
</ref>
<ref id="ref47">
<label>47</label><mixed-citation publication-type="other" xlink:type="simple"> Neilson, R. P.: A model for predicting continental-scale vegetation distribution and water balance, Ecol. Appl., 5, 362–385, 1995. </mixed-citation>
</ref>
<ref id="ref48">
<label>48</label><mixed-citation publication-type="other" xlink:type="simple"> Nemani, R. R., Keeling, C. D., Hashimoto, H., et al.: Climate-driven increases in global terrestrial net primary production from 1982 to 1999, Science, 300, 5625, 1560–1563, 2003. </mixed-citation>
</ref>
<ref id="ref49">
<label>49</label><mixed-citation publication-type="other" xlink:type="simple"> Newman, E. I.: Resistance to water flow in soil and plant: I. Soil resistance in relation to amounts of root: theoretical estimates, J. Appl. Ecol., 6, 1–112, 1969. </mixed-citation>
</ref>
<ref id="ref50">
<label>50</label><mixed-citation publication-type="other" xlink:type="simple"> Noy-Meir, I.: Desert ecosystems: Environment and producers, Annu. Rev. Ecol. Syst., 4, 25–51, 1973. </mixed-citation>
</ref>
<ref id="ref51">
<label>51</label><mixed-citation publication-type="other" xlink:type="simple"> Philip, J. R.: The theory of infiltration, 7, Soil Sci., 85, 333–337, 1958. </mixed-citation>
</ref>
<ref id="ref52">
<label>52</label><mixed-citation publication-type="other" xlink:type="simple"> Phillip, J. R.: Theory of infiltration, Adv. Hydrosci., 5, 215–296, 1969. </mixed-citation>
</ref>
<ref id="ref53">
<label>53</label><mixed-citation publication-type="other" xlink:type="simple"> Rawls, W. J., Brakensiek, D. L., and Saxton, K. E.: Estimation of Soil Water Properties, Transactions of the American Society of Agricultural Engineers, 25(5), 1316–1330, 1982. </mixed-citation>
</ref>
<ref id="ref54">
<label>54</label><mixed-citation publication-type="other" xlink:type="simple"> Ritchie, J. T., Rhoades, E. D., and Richardson, C. W.: Calculating evaporation from native grassland watersheds, Transactions of the American Society of Agricultural Engineers, 1098–1103, 1976. </mixed-citation>
</ref>
<ref id="ref55">
<label>55</label><mixed-citation publication-type="other" xlink:type="simple"> Rodriguez-Iturbe, I., Porporato, A., Ridolfi, L., Isham, V., and Cox, D. R.: Probabilistic modelling of water balance at a point: the role of climate, soil and vegetation, P. Roy. Soc., 455, 3789–3805, 1999. </mixed-citation>
</ref>
<ref id="ref56">
<label>56</label><mixed-citation publication-type="other" xlink:type="simple"> Running, S. W. and Coughlan, J. C.: A general model of forest ecosystem processes for regional applications: 1. Hydrologic balance, canopy gas exchange and primary production processes, Ecol. Model., 42, 125–154, 1988. </mixed-citation>
</ref>
<ref id="ref57">
<label>57</label><mixed-citation publication-type="other" xlink:type="simple"> Rutter, A. J.: The hydrological cycle in vegetation, edited by: Monteith, J. L., Vegetation and the Atmosphere, 1, Principles, Academic Press, 111–154, 1975. </mixed-citation>
</ref>
<ref id="ref58">
<label>58</label><mixed-citation publication-type="other" xlink:type="simple"> Sala, O. E., Lauenroth, W. K., Parton, W. J., and Trlica, M. J.: Water status of soil and vegetation in a shortgrass steppe, Oecologia, 48, 327–331, 1981. </mixed-citation>
</ref>
<ref id="ref59">
<label>59</label><mixed-citation publication-type="other" xlink:type="simple"> Sala, O. E., Parton, W. J., Joyce, L. A., and Lauenroth, W. K.: Primary production of the central grassland region of the United States, Ecology, 69, 40–45, 1988. </mixed-citation>
</ref>
<ref id="ref60">
<label>60</label><mixed-citation publication-type="other" xlink:type="simple"> Salvucci, G. D. and Entekhabi, D.: Equivalent steady soil moisture profile and the time compression approximation in water balance modeling, Water Resour. Res., 30, 2737–2749., 1994a. </mixed-citation>
</ref>
<ref id="ref61">
<label>61</label><mixed-citation publication-type="other" xlink:type="simple"> Salvucci, G. D. and Entekhabi, D.: Comparison of the Eagleson statistical-dynamical water balance model with numerical simulations, Water Resour. Res., 30, 2751–2757, 1994b. </mixed-citation>
</ref>
<ref id="ref62">
<label>62</label><mixed-citation publication-type="other" xlink:type="simple"> Sellers, P. J., Heiser, M. D., and Hall, F. G.: Relation between surface conductance and spectral vegetation indices at intermediate (100 m&lt;sup&gt;2&lt;/sup&gt; to 15 km&lt;sup&gt;2&lt;/sup&gt;) length scales, J. Geophys. Res., 97, D17, 19033–19059, 1992. </mixed-citation>
</ref>
<ref id="ref63">
<label>63</label><mixed-citation publication-type="other" xlink:type="simple"> Sellers, P. J., Randall, G. J., Collatz, G. J., Berry, J. A., Field, C. B., Dazlich, D. A., Zhang, C., Collelo, G. D., and Bounoua, L.: A revised land surface parameterization (SiB2) for atmospheric GCMs, Part I: Model formulation, J. Clim., 9, 676–705, 1996. </mixed-citation>
</ref>
<ref id="ref64">
<label>64</label><mixed-citation publication-type="other" xlink:type="simple"> Sellers, W. D.: Physical Climatology. The University of Chicago Press, Chicago, 272~pp., 1965. </mixed-citation>
</ref>
<ref id="ref65">
<label>65</label><mixed-citation publication-type="other" xlink:type="simple"> Shuttleworth, W. J. and Wallace, J. S.: Evaporation from sparse crops: an energy combination theory, Q. J. Roy. Meteor. Soc., 111, 839–855, 1985. </mixed-citation>
</ref>
<ref id="ref66">
<label>66</label><mixed-citation publication-type="other" xlink:type="simple"> Singh, J. S., Milchunas, D. G., and Lauenroth, W. K.: Soil water dynamics and vegetation patterns in a semiarid grasland, Plant Ecology, 134, 77–89, 1998. </mixed-citation>
</ref>
<ref id="ref67">
<label>67</label><mixed-citation publication-type="other" xlink:type="simple"> Stannard, D. I.: Comparison of Penman-Monteith, Shuttleworth-Wallace, and modified Priestley-Taylor evapotranspiration models for wildland vegetation in semiarid rangeland, Water Resour. Res., 29(5), 1379–1392, 1993. </mixed-citation>
</ref>
<ref id="ref68">
<label>68</label><mixed-citation publication-type="other" xlink:type="simple"> Tellers, T. E. and Eagleson, P. S.: Estimation of Effective Hydrologic Properties of Soils from Observations of Vegetation Density. Ralph M. Parsons Laboratory for Hydrology and Water Resource Systems Report Number 254, Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge, MA., (see http://ntrs.nasa.gov/search.jsp?N=4294862922), 1980. </mixed-citation>
</ref>
<ref id="ref69">
<label>69</label><mixed-citation publication-type="other" xlink:type="simple"> USDA-ARS: Hydrology, erosion, and water-quality studies in the Southern Great Plains Research Watershed, southwestern Oklahoma, 1961–78, ARS Water Quality and Watershed Research Laboratory xi, 175~pp., 1983. </mixed-citation>
</ref>
<ref id="ref70">
<label>70</label><mixed-citation publication-type="other" xlink:type="simple"> Van Bavel, C. H. M., and Hillel, D. I.: Calculating potential and actual evaporation from a bare soil surface by simulation of concurrent flow of water and heat, Agr. Meteorol., 17, 453–476, 1976. </mixed-citation>
</ref>
<ref id="ref71">
<label>71</label><mixed-citation publication-type="other" xlink:type="simple"> Van den Honert, T. H.: Water transport in plants as a catenary process, Discuss. Faraday Soc., 3, 146–153, 1948. </mixed-citation>
</ref>
<ref id="ref72">
<label>72</label><mixed-citation publication-type="other" xlink:type="simple"> Woodward, F. I.: Climate and Plant Distribution, Cambridge University Press, Cambridge, 174~pp., 1987. </mixed-citation>
</ref>
<ref id="ref73">
<label>73</label><mixed-citation publication-type="other" xlink:type="simple"> Zea-Cabrera, E., Iwasa, Y., Levin, S., and Rodríguez-Iturbe, I.: Tragedy of the commons in plant water use, Water Resour. Res., 42(4), W06D02, https://doi.org/10.1029/2005WR004514, 2006. </mixed-citation>
</ref>
</ref-list>
</back>
</article>