<?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-14-729-2010</article-id>
<title-group>
<article-title>Comparison of algorithms and parameterisations for infiltration into organic-covered permafrost soils</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Zhang</surname>
<given-names>Y.</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>Carey</surname>
<given-names>S. K.</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>Quinton</surname>
<given-names>W. L.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Janowicz</surname>
<given-names>J. R.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Pomeroy</surname>
<given-names>J. W.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Flerchinger</surname>
<given-names>G. N.</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Dept. of Geography and Environmental Studies, Carleton University, Ottawa, Canada</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Cold Regions Research Centre, Wilfrid Laurier University, Waterloo, Canada</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Environmental Programs Branch, Yukon Department of Environment, Whitehorse, Canada</addr-line>
</aff>
<aff id="aff4">
<label>4</label>
<addr-line>Centre for Hydrology, University of Saskatchewan, Saskatoon, Canada</addr-line>
</aff>
<aff id="aff5">
<label>5</label>
<addr-line>Northwest Watershed Research Center, USDA Agricultural Research Service, Boise, USA</addr-line>
</aff>
<pub-date pub-type="epub">
<day>11</day>
<month>05</month>
<year>2010</year>
</pub-date>
<volume>14</volume>
<issue>5</issue>
<fpage>729</fpage>
<lpage>750</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2010 Y. Zhang et al.</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/14/729/2010/hess-14-729-2010.html">This article is available from https://hess.copernicus.org/articles/14/729/2010/hess-14-729-2010.html</self-uri>
<self-uri xlink:href="https://hess.copernicus.org/articles/14/729/2010/hess-14-729-2010.pdf">The full text article is available as a PDF file from https://hess.copernicus.org/articles/14/729/2010/hess-14-729-2010.pdf</self-uri>
<abstract>
<p>Infiltration into frozen and unfrozen soils is critical in hydrology,
controlling active layer soil water dynamics and influencing runoff. Few
Land Surface Models (LSMs) and Hydrological Models (HMs) have been
developed, adapted or tested for frozen conditions and permafrost soils.
Considering the vast geographical area influenced by freeze/thaw processes
and permafrost, and the rapid environmental change observed worldwide in
these regions, a need exists to improve models to better represent their
hydrology.

&lt;br&gt;&lt;br&gt;

In this study, various infiltration algorithms and parameterisation methods,
which are commonly employed in current LSMs and HMs were tested against
detailed measurements at three sites in Canada&apos;s discontinuous permafrost
region with organic soil depths ranging from 0.02 to 3 m. Field data from
two consecutive years were used to calibrate and evaluate the infiltration
algorithms and parameterisations. Important conclusions include: (1) the
single most important factor that controls the infiltration at permafrost
sites is ground thaw depth, (2) differences among the simulated infiltration
by different algorithms and parameterisations were only found when the
ground was frozen or during the initial fast thawing stages, but not after
ground thaw reaches a critical depth of 15 to 30 cm, (3) despite
similarities in simulated total infiltration after ground thaw reaches the
critical depth, the choice of algorithm influenced the distribution of water
among the soil layers, and (4) the ice impedance factor for hydraulic
conductivity, which is commonly used in LSMs and HMs, may not be necessary
once the water potential driven frozen soil parameterisation is employed.
Results from this work provide guidelines that can be directly implemented
in LSMs and HMs to improve their application in organic covered permafrost
soils.</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">Beven, K. J. and Kirkby, M. J.: A physically based variable contributing area model of basin hydrology, Hydrol. Sci. Bull., 24, 43–69, 1979.</mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple">Bloomsburg, G. L. and Wang, S. J.: Effect of moisture content on permeability of frozen soils, 16th annual meeting of Pacific Northwest Region, American Geophysical Union, Portland, Oregon, 16–17 October 1969.</mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple">Boike, J., Roth, K., and Overduin, P.: Thermal and hydrologic dynamics of the active layer at a continuous permafrost site (Taymyr Peninsula, Siberia), Water Resour. Res., 34, 355–363, 1998.</mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple">Bonan, G. B.: A biophysical surface energy budget analysis of soil temperature in the boreal forests of interior Alaska, Water Resour. Res., 27, 767–781, 1991.</mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple">Bouwer, H.: Infiltration of water into non-uniform soil, J. Irrig. Drain. Div., 95 (IR4), 451, 1969.</mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple">Brooks, R. H. and Corey, A. J.: Hydraulic properties of porous media. Hydrol. Paper 3, Colo. State Univ., Fort Collins, CO., 27 pp., 1964.</mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple">Burt, T. P. and Williams, P. J.: Hydraulic conductivity in frozen soils, Earth Surf. Process., 1, 349–360, 1976.</mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple">Carey, S. K. and Woo, M.-K.: Slope runoff processes and flow generation in a subarctic, subalpine environment, J. Hydrol., 253, 110–129, 2001.</mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple">Carey S. K., Quinton, W. L., and Goeller, N. T.: Field and laboratory estimates of pore size properties and hydraulic characteristics for subarctic organic soils, Hydrol. Processes, 21, 2560–2571, 2007.</mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple">Cary, J. W. and Mayland, H. F.: Salt and water movement in unsaturated frozen soil, Soil Sci. Soc. Am. Proc., 36, 549–555, 1972.</mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple">Celia, M. A., Bououtas, E. T., and Zarba, R. L.: A general mass-conservative numerical solution for the unsaturated flow equation, Water Resour. Res., 26, 1483–1496, 1990.</mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple">Chahinian, N., Moussa, R., Andrieux, P., and Voltz, M.: Comparison of infiltration models to simulate flood events at the field scale, J. Hydrol., 306, 191–214, 2005.</mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple">Cherkauer, K. A. and Lettenmaier, D. P.: Hydrologic effects of frozen soils in the upper Mississippi River Basin, J. Geophys. Res., 104(D16), 19599–19610, 1999.</mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple">Cherkauer, K. A., Bowling, L. C., and Lettenmaier, D. P.: Variable infiltration capacity cold land process model updates, Global Plan. Change, 38, 151–159, 2003.</mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple">Chu, X. and Marino, M. A.: Determination of ponding condition and infiltration into layered soils under unsteady rainfall, J. Hydrol., 313, 195–207, 2005.</mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple">Clapp, R. B. and Hornberger, G. M.: Empirical equations for some soil hydraulic properties, Water Resour. Res., 14, 601–604, 1978.</mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple">Dai, Y., Zeng, X., Dickinson, R. E., et al.: The Common Land Model, B. Am. Meteorol. Soc., 84(8), 1013–1023, 2003.</mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple">Desborough, C. E. and Pitman, A. J.: The BASE land surface model, Global Plan. Change, 19, 3–18, 1998.</mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple">Dingman, S. L.: Physical Hydrology (2nd ed.), Prentice-Hall, Upper Saddle River, N.J., USA, 646 pp., 2002.</mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple">Environment Canada: &lt;a href=&quot;http://climate.weatheroffice.ec.gc.ca/climate_normals/index_e.html&quot;&gt;http://climate.weatheroffice.ec.gc.ca/climate_normals/index_e.html&lt;/a&gt;, access: 15 February 2009.</mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple">Flerchinger, G. N.: The Simultaneous Heat and Water (SHAW) Model: Technical Documentation, Northwest Watershed Research Center, USDA Agricultural Research Service, Boise, Idaho, Technical Report NWRC 2000-09, 37 pp., 2000.</mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple">Flerchinger, G. N. and Saxton, K. E.: Simultaneous heat and water model of a freezing snow-residue-soil system I. Theory and development, Trans. of ASAE 32(2), 565–571, 1989.</mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple">Flerchinger, G. N., Watts, F. J., and Bloomsburg, G. L.: Explicit Solution to Green-Ampt Equation for Nonuniform Soils, J. Irrig. Drain. Div. ASCE, 114(3), 561–565, 1988.</mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple">Flerchinger, G. N., Seyfried, M. S., and Hardegree, S. P.: Using Soil Freezing Characteristics to Model Multi-Season Soil Water Dynamics, Vadose Zone J., 5, 1143–1153, 2006.</mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple">Granger, R. J.: Partitioning of energy during the snow-free season at the Wolf Creek research basin, in: Wolf Creek Research Basin: Hydrology, Ecology, Environment, edited by: Pomeroy J. W. and Granger, R. J., Environment Canada, Saskatoon, 33–43, 1999.</mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple">Granger, R. J. and Gray, D. M.: Evaporation from natural non-saturated surfaces, J. Hydrol., 111, 21–29, 1989.</mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple">Granger, R. J., Gray, D. M., and Dyck, G. E.: Snowmelt infiltration to frozen prairie soils, Can. J. Earth Sci., 21, 669–677, 1984.</mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple">Gray, D. M. and Granger, R. J.: In situ measurements of moisture and salt movement in freezing soils, Can. J. Earth Sci., 23, 696–704, 1986.</mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple">Gray, D. M., Landine, P. G., and Granger R. J.: Simulating infiltration into frozen prairie soils in streamflow models, Can. J. Earth Sci., 22, 464–474, 1985.</mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple">Green, H. W. and Ampt, G. A.: Studies of soil physics, J. Agricul. Sci., iv, 1–24, 1911.</mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple">Gusev, E. M.: Infiltration of water into soil during melting of snow, Water Resour., 16(2), 108–122, 1989.</mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple">Gusev, Y. M. and Nasonova, O. N.: The land surface parameterisation scheme SWAP: description and partial validation, Global Planet. Change, 19, 63–86, 1998.</mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple">Gusev, Y. M. and Nasonova, O. N.: The simulation of heat and water exchange in the boreal spruce forest by the land-surface model SWAP, J. Hydrol., 280, 162–191, 2003.</mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple">Guymon, G. L. and Luthin, J. N.: A coupled heat and moisture transport model for arctic soils, Water Resour. Res., 10, 995–1001, 1974.</mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple">Hansson, K., Šimůnek, J., Mizoguchi, M., Lundin, L.-C., and van Genuchten, M. Th.: Water flow and heat transport in frozen soil: numerical solution and freeze-thaw applications, Vadose Zone J., 3, 692–704, 2004.</mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple">Harlan, R. L.: Analysis of coupled heat-fluid transport in partially frozen soil, Water Resour. Res., 9, 1314–1323, 1973.</mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple">Hayashi, M. and Quinton, W. L.: A constant-head well permeameter method for measuring field-saturated hydraulic conductivity above an impermeable layer, Can. J. Soil Sci., 84, 255–264, 2004.</mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple">Hayashi, M., Goeller, N., Quinton, W. L., and Wright, N.: A simple heat-conduction method for simulating the frost-table depth in hydrological models, Hydrol. Processes, 21, 2610–2622, 2007.</mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple">Hinzman, L. D., Kane, D., Gieck, R., and Everett, K. R.: Hydrologic and thermal properties of the active layer in the Alaskan arctic, Cold Reg. Sci. Technol., 19, 95–110, 1991.</mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple">Hoag, R. S. and Price, J. S.: The effects of matrix diffusion on solute transport and retardation in undisturbed peat in laboratory columns, J. Contam. Hydrol., 28, 193–205, 1997.</mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple">Horiguchi, K. and Miller, R. D.: Experimental studies with frozen soil in an &quot;ice sandwich&quot; permeameter, Cold Reg. Sci. Technol., 3, 177–183, 1980.</mixed-citation>
</ref>
<ref id="ref42">
<label>42</label><mixed-citation publication-type="other" xlink:type="simple">Jame, Y.-W. and Norum, D. L.: Heat and mass transfer in a freezing unsaturated porous medium, Water Resour. Res., 16, 811–819, 1980.</mixed-citation>
</ref>
<ref id="ref43">
<label>43</label><mixed-citation publication-type="other" xlink:type="simple">Janowicz, J. R.: Spatial variability of snowmelt infiltration to frozen soil within the Yukon boreal forest, in: Water Resources in Extreme Environments, edited by: Kane, D. L., American Water Resources Association, Middleburg, Virginia, 2000.</mixed-citation>
</ref>
<ref id="ref44">
<label>44</label><mixed-citation publication-type="other" xlink:type="simple">Kane, D. L. and Chacho, E. F.: Frozen ground effects on infiltration and runoff, in: Cold regions hydrology and hydraulics, edited by: Ryan, W. L. and Crissman, R. D., Technical Council on Cold Regions Engineering Monograph, ASCE, New York, 259–300, 1990.</mixed-citation>
</ref>
<ref id="ref45">
<label>45</label><mixed-citation publication-type="other" xlink:type="simple">Kane, D. L. and Stein, J.: Water movement into seasonally frozen soils, Water Resour. Res., 19, 1547–1557, 1983.</mixed-citation>
</ref>
<ref id="ref46">
<label>46</label><mixed-citation publication-type="other" xlink:type="simple">Koopmans, R. W. R. and Miller, R. D.: Soil freezing and soil water characteristic curves, Soil Sci. Soc. Am. Proc., 22, 278–281, 1966.</mixed-citation>
</ref>
<ref id="ref47">
<label>47</label><mixed-citation publication-type="other" xlink:type="simple">Koren, V., Schaake, J., Mitchell, K., Duan, Q.-Y., Chen, F., and Baker, J. M.: A parameterisation of snowpack and frozen ground intended for NCEP weather and climate models, J. Geophys. Res., 104(D16), 19569–19585, 1999.</mixed-citation>
</ref>
<ref id="ref48">
<label>48</label><mixed-citation publication-type="other" xlink:type="simple">Kuchment, L. S., Gelfan, A. N., and Demidov, V. N.: A distributed model of runoff generation in the permafrost regions. J. Hydrol., 240, 1–22, 2000.</mixed-citation>
</ref>
<ref id="ref49">
<label>49</label><mixed-citation publication-type="other" xlink:type="simple">Letts, M. G., Roulet, N. T., Comer, N. T., Skarupa, M. R., and Verseghy, D. L.: Parametrization of peatland hydraulic properties for the Canadian Land Surface Scheme, Atmosphere-Ocean, 38, 141–160, 2000.</mixed-citation>
</ref>
<ref id="ref50">
<label>50</label><mixed-citation publication-type="other" xlink:type="simple">Li, X. and Koike, T.: Frozen soil parameterization in SiB2 and its validation with GAME-Tibet observations, Cold Reg. Sci. Technol., 36, 165–182, 2003.</mixed-citation>
</ref>
<ref id="ref51">
<label>51</label><mixed-citation publication-type="other" xlink:type="simple">Liang, X., Lettenmaier, D. P., Wood, E. F., and Burges, S. J.: A simple hydrologically based model of land surface water, energy fluxes for general circulation models, J. Geophys. Res., 99(D7), 14415–14428, 1994.</mixed-citation>
</ref>
<ref id="ref52">
<label>52</label><mixed-citation publication-type="other" xlink:type="simple">Luo, L., Robock, A., and Vinnikov, K. Y.: Effects of frozen soil on soil temperature, spring infiltration, and runoff: results from the PILPS 2(d) experiment at Valdai, Russia, J. Hydrometeorol., 4, 334–351, 2003.</mixed-citation>
</ref>
<ref id="ref53">
<label>53</label><mixed-citation publication-type="other" xlink:type="simple">Lutin, L.-C.: Hydraulic properties in an operational model of frozen soil, J. Hydrol., 118, 289–310, 1990.</mixed-citation>
</ref>
<ref id="ref54">
<label>54</label><mixed-citation publication-type="other" xlink:type="simple">Mackay, J. R.: Downward water movement into frozen ground, western Arctic coast, Canada, Can. J. Earth Sci., 20, 120–124, 1983.</mixed-citation>
</ref>
<ref id="ref55">
<label>55</label><mixed-citation publication-type="other" xlink:type="simple">McCauley, C. A., White, D. M., Lilly, M. R., and Nyman, D. M.: A comparison of hydraulic conductivities, permeabilities and infiltration rates in frozen and unfrozen soils, Cold Reg. Sci. Technol., 34, 117–125, 2002.</mixed-citation>
</ref>
<ref id="ref56">
<label>56</label><mixed-citation publication-type="other" xlink:type="simple">Mein, R. G. and Larson, C. L.: Modeling infiltration during a steady rain, Water Resour. Res., 9, 384–394, 1973.</mixed-citation>
</ref>
<ref id="ref57">
<label>57</label><mixed-citation publication-type="other" xlink:type="simple">Mishra, S. K., Tyagi, J. V., and Singh, V. P.: Comparison of infiltration models, Hydrol. Processes, 17, 2629–2652, 2003.</mixed-citation>
</ref>
<ref id="ref58">
<label>58</label><mixed-citation publication-type="other" xlink:type="simple">Nicolsky, D. J., Romanovsky, V. E., Alexeev, V. A., and Lawrence, D. M.: Improved modeling of permafrost dynamics in Alaska with CLM3, Geophys. Res. Lett., 34, L08501, https://doi.org/10.1029/2007GL029525, 2007.</mixed-citation>
</ref>
<ref id="ref59">
<label>59</label><mixed-citation publication-type="other" xlink:type="simple">Niu, G.-Y. and Yang, Z.-L.: Effects of frozen soil on snowmelt runoff and soil water storage at a continental scale, J. Hydrometeor., 7, 937–952, 2006.</mixed-citation>
</ref>
<ref id="ref60">
<label>60</label><mixed-citation publication-type="other" xlink:type="simple">Niu, G.-Y., Yang, Z.-L., Dickinson, R. E., and Gulden, L. E.: A simple TOPMODEL-based runoff parameterization for use in GCMs, J. Geophys. Res., 110, D21106, https://doi.org/10.1029/2005JD006111, 2005.</mixed-citation>
</ref>
<ref id="ref61">
<label>61</label><mixed-citation publication-type="other" xlink:type="simple">Oleson, K. W., Niu, G.-Y., and Yang, Z.-L.: Improvements to the Community Land Model and their impact on the hydrological cycle, J. Geophys. Res., 113, G01021, https://doi.org/10.1029/2007JG000563, 2008.</mixed-citation>
</ref>
<ref id="ref62">
<label>62</label><mixed-citation publication-type="other" xlink:type="simple">Osterkamp, T. E.: Freezing and thawing of soils and permafrost containing unfrozen water or brine, Water Resour. Res., 23, 2279–2285, 1987.</mixed-citation>
</ref>
<ref id="ref63">
<label>63</label><mixed-citation publication-type="other" xlink:type="simple">Peckham, S. D.: Geomorphometry and spatial hydrologic modeling, in: Geomorphometry: Concepts, Software and Applications, edited by: Hengl, T. and Reuter, H. I., Developments in Soil Science, Elsevier, 33, 377–393, 2008.</mixed-citation>
</ref>
<ref id="ref64">
<label>64</label><mixed-citation publication-type="other" xlink:type="simple">Pomeroy, J. W. and Granger, R. J. (Eds.): Wolf Creek Research Basin: Hydrology, Ecology, Environment, Environment Canada, Saskatoon, 160 pp., 1999.</mixed-citation>
</ref>
<ref id="ref65">
<label>65</label><mixed-citation publication-type="other" xlink:type="simple">Pomeroy, J. W., Gray, D. M., Brown, T., Hedstrom, N. R., Quinton, W. L., Granger, R. J., and Carey, S. K.: The cold regions hydrological model, a platform for basing process representation and model structure on physical evidence, Hydrol. Processes, 21, 2650–2667, 2007.</mixed-citation>
</ref>
<ref id="ref66">
<label>66</label><mixed-citation publication-type="other" xlink:type="simple">Quinton, W. L., Hayashi, M., and Carey, S. K.: Peat hydraulic conductivity in cold regions and its relation to pore size and geometry, Hydrol. Processes, 22, 2829–2837, 2008.</mixed-citation>
</ref>
<ref id="ref67">
<label>67</label><mixed-citation publication-type="other" xlink:type="simple">Quinton, W. L., Shirazi, T., Carey, S. K., and Pomeroy, J. W.: Soil water storage and active-layer development in a sub-alpine tundra hillslope, Southern Yukon Territory, Canada, Permafrost and Periglac. Process., 16, 369–382, 2005.</mixed-citation>
</ref>
<ref id="ref68">
<label>68</label><mixed-citation publication-type="other" xlink:type="simple">Ross, P. J.: Efficient numerical methods for infiltration using Richards&apos; equation, Water Resour. Res., 26, 279–290, 1990.</mixed-citation>
</ref>
<ref id="ref69">
<label>69</label><mixed-citation publication-type="other" xlink:type="simple">Šimunek, J., Šejna, M., and van Genuchten, M. Th.: The HYDRUS-1D software package for simulating the one-dimensional movement of water, heat, and multiple solutes in variably saturated media, Version 3.0, Department of Environmental Sciences, University Of California Riverside, Riverside, CA, 240 pp., 2005.</mixed-citation>
</ref>
<ref id="ref70">
<label>70</label><mixed-citation publication-type="other" xlink:type="simple">Slater, A. G., Pitman, A. J., and Desborough, C. E.: Simulation of freeze-thaw cycles in general circulation model land surface scheme, J. Geophys. Res., 103(D10), 11303–11312, 1998.</mixed-citation>
</ref>
<ref id="ref71">
<label>71</label><mixed-citation publication-type="other" xlink:type="simple">Slaughter, C. and Kane, D.: Hydrologic role of shallow organic soils in cold climates, in: Canadian Hydrology Symposium: Proceedings, Cold Clim. Hydrology, 380–389, 1979.</mixed-citation>
</ref>
<ref id="ref72">
<label>72</label><mixed-citation publication-type="other" xlink:type="simple">Smith, R. and Parlange, J. Y.: A parameter-efficient hydrologic infiltration model, Water Resour. Res., 14, 533–538, 1978.</mixed-citation>
</ref>
<ref id="ref73">
<label>73</label><mixed-citation publication-type="other" xlink:type="simple">Smith, R. E., Smettem, K. R. J., Broadbridge, P., and Woolhiser, D. A.: Infiltration theory for hydrological applications, Water Resources monograph 15, American Geophysical Union, Washington, D.C., 210 pp., 2002.</mixed-citation>
</ref>
<ref id="ref74">
<label>74</label><mixed-citation publication-type="other" xlink:type="simple">Soulis, E. D. and Seglenieks, F. R.: The MAGS integrated modeling system, in: Cold region atmospheric and hydrologic studies, the Mackenzie GEWEX experience, edited by: Woo, M.-K., vol. 2, Hydrologic Processes, Springer-Verlag, Berlin, Heidelberg, 445–473, 2008.</mixed-citation>
</ref>
<ref id="ref75">
<label>75</label><mixed-citation publication-type="other" xlink:type="simple">Spaans, E. J. A. and Baker, J. M.: The soil freezing characteristic: Its measurement and similarity to the soil moisture characteristic, Soil Sci. Soc. Am. J., 60, 13–19, 1996.</mixed-citation>
</ref>
<ref id="ref76">
<label>76</label><mixed-citation publication-type="other" xlink:type="simple">Stankovich, J. M. and Lockington, D. A.: Brooks-Corey and van Genuchten soil-water-retention models, J. Irrig. Drain. Engrg., 121, 1–7, 1995.</mixed-citation>
</ref>
<ref id="ref77">
<label>77</label><mixed-citation publication-type="other" xlink:type="simple">Talbot, C. A. and Ogden, F. L.: A method for computing infiltration and redistribution in a discretized moisture content domain, Water Resour. Res., 44, W08453, https://doi.org/10.1029/2008WR006815, 2008.</mixed-citation>
</ref>
<ref id="ref78">
<label>78</label><mixed-citation publication-type="other" xlink:type="simple">Tao, Y.-X. and Gray, D. M.: Prediction of snowmelt infiltration into frozen soils, Num. Heat Trans., Part A, 26, 643–665, 1994.</mixed-citation>
</ref>
<ref id="ref79">
<label>79</label><mixed-citation publication-type="other" xlink:type="simple">van Genuchten, M. Th.: A closed-form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Soc. Am. J., 44, 892–898, 1980.</mixed-citation>
</ref>
<ref id="ref80">
<label>80</label><mixed-citation publication-type="other" xlink:type="simple">Verseghy, D. L.: CLASS – A Canadian land surface scheme for GCMs. I. Soil model, Int. J. Climatol., 11, 111–113, 1991.</mixed-citation>
</ref>
<ref id="ref81">
<label>81</label><mixed-citation publication-type="other" xlink:type="simple">Verseghy, D. L.: CLASS – The Canadian Land Surface Scheme (Version 3.4), Technical Documentation (Version 1.1), Climate Research Division, Science and Technology Branch, Environment Canada, 180 pp., 2009.</mixed-citation>
</ref>
<ref id="ref82">
<label>82</label><mixed-citation publication-type="other" xlink:type="simple">Wagner, B., Tarnawski, V. R., Hennings, V., Müller, U., Wessolek, G., and Plagge, R.: Evaluation of pedo-transfer functions for unsaturated soil hydraulic conductivity using an independent data set, Geoderma, 102, 275–297, 2001.</mixed-citation>
</ref>
<ref id="ref83">
<label>83</label><mixed-citation publication-type="other" xlink:type="simple">Woo, M.-K.: Permafrost hydrology in North America, Atmosphere-Ocean, 24, 201–234, 1986.</mixed-citation>
</ref>
<ref id="ref84">
<label>84</label><mixed-citation publication-type="other" xlink:type="simple">Wösten, J. H. M., Lilly, A., Nemes, A., and Le Bas, C.: Development and use of a database of hydraulic properties of European soils, Geoderma, 90, 169–185, 1999.</mixed-citation>
</ref>
<ref id="ref85">
<label>85</label><mixed-citation publication-type="other" xlink:type="simple">Wright, N., Quinton, W. L., and Hayashi, M.: Hillslope runoff from ice-cored peat plateaus in a discontinuous permafrost basin, Northwest Territories, Canada, Hydrol. Processes, 22, 2816–2828, 2008.</mixed-citation>
</ref>
<ref id="ref86">
<label>86</label><mixed-citation publication-type="other" xlink:type="simple">Yang, Z.-L. and Niu, G.-Y.: The Versatile Integrator of Surface and Atmosphere Processes (VISA) part I: Model description, Global Plan. Change, 38, 175–189, 2003.</mixed-citation>
</ref>
<ref id="ref87">
<label>87</label><mixed-citation publication-type="other" xlink:type="simple">Yi, S., Arain, A. M., and Woo, M.-K.: Modifications of a land surface scheme for improved simulation of ground freeze-thaw in northern environments, Geophys. Res. Lett., 33, L13501, https://doi.org/10.1029/2006GL026340, 2006.</mixed-citation>
</ref>
<ref id="ref88">
<label>88</label><mixed-citation publication-type="other" xlink:type="simple">Zhang, Y., Carey, S., and Quinton, W.: Evaluation of the algorithms and parameterizations for ground thawing and freezing simulation in permafrost regions, J. Geophys. Res., 113, D17116, https://doi.org/10.1029/2007JD009343, 2008.</mixed-citation>
</ref>
<ref id="ref89">
<label>89</label><mixed-citation publication-type="other" xlink:type="simple">Zhang, Z., Kane, D., and Hinzman, L.: Development and application of a spatially distributed arctic hydrological and thermal process model (ARHYTHM), Hydrol. Processes, 14, 1017–1044, 2000.</mixed-citation>
</ref>
<ref id="ref90">
<label>90</label><mixed-citation publication-type="other" xlink:type="simple">Zhao, L. and Gray, D. M.: A parametric expressions for estimating infiltration into frozen soils, Hydrol. Processes, 11, 1761–1775, 1997.</mixed-citation>
</ref>
<ref id="ref91">
<label>91</label><mixed-citation publication-type="other" xlink:type="simple">Zhao, L., Gray, D. M., and Male, D. H.: Numerical analysis of simultaneous heat and mass transfer during infiltration into frozen ground, J. Hydrol., 200, 345–363, 1997.</mixed-citation>
</ref>
</ref-list>
</back>
</article>