Advertisement

Journal of Arid Land

, Volume 8, Issue 2, pp 232–240 | Cite as

An analytical model for estimating soil temperature profiles on the Qinghai-Tibet Plateau of China

  • Guojie Hu
  • Lin ZhaoEmail author
  • Xiaodong Wu
  • Ren Li
  • Tonghua Wu
  • Changwei Xie
  • Yongping Qiao
  • Jianzong Shi
  • Guodong Cheng
Article

Abstract

Soil temperature is a key variable in the control of underground hydro-thermal processes. To estimate soil temperature more accurately, this study proposed a solution method of the heat conduction equation of soil temperature (improved heat conduction model) by applying boundary conditions that incorporate the annual and diurnal variations of soil surface temperature and the temporal variation of daily temperature amplitude, as well as the temperature difference between two soil layers in the Tanggula observation site of the Qinghai-Tibet Plateau of China. We employed both the improved heat conduction model and the classical heat conduction model to fit soil temperature by using the 5 cm soil layer as the upper boundary for soil depth. The results indicated that the daily soil temperature amplitude can be better described by the sinusoidal function in the improved model, which then yielded more accurate soil temperature simulating effect at the depth of 5 cm. The simulated soil temperature values generated by the improved model and classical heat conduction model were then compared to the observed soil temperature values at different soil depths. Statistical analyses of the root mean square error (RMSE), the normalized standard error (NSEE) and the bias demonstrated that the improved model showed higher accuracy, and the average values of RMSE, bias and NSEE at the soil depth of 10–105 cm were 1.41°C, 1.15°C and 22.40%, respectively. These results indicated that the improved heat conduction model can better estimate soil temperature profiles compared to the traditional model.

Keywords

soil temperature heat conduction equation daily amplitude boundary condition 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bond-Lamberty B, Thomson A. 2010. Temperature-associated increases in the global soil respiration record. Nature, 464(7288): 579–582.CrossRefGoogle Scholar
  2. Canadell J G, Le Quéré C, Raupach M R, et al. 2007. Contributions to accelerating atmospheric CO2 growth from economic activity, carbon intensity, and efficiency of natural sinks. Proceedings of the National Academy of Sciences of the United States of America, 104(47): 18866–18870.CrossRefGoogle Scholar
  3. Carson J E. 1963. Analysis of soil and air temperatures by Fourier techniques. Journal of Geophysical Research, 68(8): 2217–2232.CrossRefGoogle Scholar
  4. Costello T A, Horst W J. 1991. Soil temperature sensor installation: a comparison of two methods. Transactions of the ASAE, 34(3): 904–908.CrossRefGoogle Scholar
  5. Elias E A, Cichota R, Torriani H H, et al. 2004. Analytical soil-temperature model: correction for temporal variation of daily amplitude. Soil Science Society of America Journal, 68(3): 784–788.CrossRefGoogle Scholar
  6. Gao Z Q, Fan X G, Bian L G. 2003. An analytical solution to one-dimensional thermal conduction-convection in soil. Soil Science, 168(2): 99–107.CrossRefGoogle Scholar
  7. Gao Z Q. 2005. Determination of soil heat flux in a Tibetan short-grass prairie. Boundary-Layer Meteorology, 114(1): 165–178.CrossRefGoogle Scholar
  8. Gao Z Q, Lenschow D H, Horton R, et al. 2008. Comparison of two soil temperature algorithms for a bare ground site on the Loess Plateau in China. Journal of Geophysical Research: Atmospheres, 113(D18): D18105, doi: 10.1029/2008JD010285.CrossRefGoogle Scholar
  9. Guaraglia D O, Pousa J L, Pilan L. 2001. Predicting temperature and heat flow in a sandy soil by electrical modeling. Soil Science Society of America Journal, 65(4): 1074–1080.CrossRefGoogle Scholar
  10. Hillel D. 1982. Introduction to Soil Physics. New York: Academic Press.Google Scholar
  11. Holmes T R H, Owe M, De Jeu R A M, et al. 2008. Estimating the soil temperature profile from a single depth observation: A simple empirical heatflow solution. Water Resources Research, 44(2): W02412, doi: 10.1029/2007WR005994.CrossRefGoogle Scholar
  12. Hopmans J W, Šimunek J, Bristow K L. 2002. Indirect estimation of soil thermal properties and water flux using heat pulse probe measurements: Geometry and dispersion effects. Water Resources Research, 38(1), doi: 10.1029/2000WR000071.Google Scholar
  13. Horton R, Wierenga P J. 1983. Estimating the soil heat flux from observations of soil temperature near the surface. Soil Science Society of America Journal, 47(1): 14–20.CrossRefGoogle Scholar
  14. Huang F, Zhan W F, Ju W M, et al. 2014. Improved reconstruction of soil thermal field using two-depth measurements of soil temperature. Journal of Hydrology, 519(Part A): 711–719.CrossRefGoogle Scholar
  15. Jencso K G, McGlynn B L, Gooseff M N, et al. 2009. Hydrologic connectivity between landscapes and streams: Transferring reach- and plot-scale understanding to the catchment scale. Water Resources Research, 45(4): W04428, doi: 10.1029/2008WR007225.CrossRefGoogle Scholar
  16. Kirschbaum M U F. 2006. The temperature dependence of organic-matter decomposition-still a topic of debate. Soil Biology and Biochemistry, 38(9): 2510–2518.CrossRefGoogle Scholar
  17. Kusuda T. 1975. The effect of ground cover on earth temperature. In: Proceedings of Conference on Alternatives in Energy Conservation: The Use of Earth-covered Buildings. Texas: Forth Worth, 9–12.Google Scholar
  18. Li R, Zhao L, Wu T H, et al. 2014. Investigating soil thermodynamic parameters of the active layer on the northern Qinghai-Tibetan Plateau. Environmental Earth Sciences, 71(2): 709–722.CrossRefGoogle Scholar
  19. Liu H Z, Tu G, Dong W J, et al. 2006. Seasonal and diurnal variations of the exchange of water vapor and CO2 between the land surface and atmosphere in the semi-arid area. Chinese Journal of Atmospheric Sciences, 30(1): 108–118. (in Chinese)Google Scholar
  20. Mihalakakou G. 2002. On estimating soil surface temperature profiles. Energy and Buildings, 34(3): 251–259.CrossRefGoogle Scholar
  21. Niu G Y, Sun S F, Hong Z X. 1997. Numerical simulation on water and heat transport in the desert soil and atmospheric boundary layer. Acta Meteorologica Sinica, 55(4): 398–407. (in Chinese)Google Scholar
  22. Núñez C M, Varas E A, Meza F J. 1983. Modelling soil heat flux. Theoretical and Applied Climatology, 100(3): 251–260.Google Scholar
  23. Paul K I, Polglase P J, Smethurst P J, et al. 2004. Soil temperature under forests: a simple model for predicting soil temperature under a range of forest types. Agricultural and Forest Meteorology, 121(3–4): 167–182.CrossRefGoogle Scholar
  24. Qian B D, Gregorich E G, Gameda S, et al. 2011. Observed soil temperature trends associated with climate change in Canada. Journal of Geophysical Research: Atmospheres, 116(D2): D02106, doi: 10.1029/2010JD015012.CrossRefGoogle Scholar
  25. Riveros-Iregui D A, McGlynn B L, Marshall L A, et al. 2011. A watershed-scale assessment of a process soil CO2 production and efflux model. Water Resources Research, 47(10): W00J04, doi: 10.1029/2010WR009941.CrossRefGoogle Scholar
  26. Thornton P E, Law B E, Gholz H L, et al. 2002. Modeling and measuring the effects of disturbance history and climate on carbon and water budgets in evergreen needleleaf forests. Agricultural and Forest Meteorology, 113(1–4): 185–222.CrossRefGoogle Scholar
  27. Toosi E R, Schmidt J P, Castellano M J. 2014. Soil temperature is an important regulatory control on dissolved organic carbon supply and uptake of soil solution nitrate. European Journal of Soil Biology, 61: 68–71.CrossRefGoogle Scholar
  28. van Wijk W R. 1963. Periodic temperature variations in a homogeneous soil. In: van Wijk W R. Physics of Plant Environment. Amsterdam: North-Holland Publishing.Google Scholar
  29. Wang L L, Gao Z Q, Horton R, et al. 2012. An analytical solution to the one-dimensional heat conduction-convection equation in soil. Soil Science Society of America Journal, 76(6): 1978–1986.CrossRefGoogle Scholar
  30. Xiao Y, Zhao L, Dai Y J, et al. 2013. Representing permafrost properties in CoLM for the Qinghai-Xizang (Tibetan) Plateau. Cold Regions Science and Technology, 87: 68–77.CrossRefGoogle Scholar
  31. Yang K, Bai D, Hao X Q, et al. 2009. Identification of soil hydraulic properties based on genetic algorithm. Transactions of the CSAE, 25(9): 32–35. (in Chinese)Google Scholar
  32. Zhang T, Barry R G, Gilichinsky D, et al. 2001. An amplified signal of climatic change in soil temperatures during the last century at Irkutsk, Russia. Climatic Change, 49(1–2): 41–76.CrossRefGoogle Scholar

Copyright information

© Xinjiang Institute of Ecology and Geography, the Chinese Academy of Sciences and Springer - Verlag GmbH 2016

Authors and Affiliations

  • Guojie Hu
    • 1
  • Lin Zhao
    • 1
    Email author
  • Xiaodong Wu
    • 1
  • Ren Li
    • 1
  • Tonghua Wu
    • 1
  • Changwei Xie
    • 1
  • Yongping Qiao
    • 1
  • Jianzong Shi
    • 1
  • Guodong Cheng
    • 1
  1. 1.Cryosphere Research Station on Qinghai-Xizang Plateau/State Key Laboratory of Cryospheric Sciences, Cold and Arid Regions Environmental and Engineering Research InstituteChinese Academy of SciencesLanzhouChina

Personalised recommendations