TECHNICAL PAPERS
Nov 11, 2009

Soil Moisture Profile Development from Surface Observations by Principle of Maximum Entropy

Publication: Journal of Hydrologic Engineering
Volume 15, Issue 5

Abstract

In this study, the principle of maximum entropy concept is used to estimate the soil moisture profile to a depth of near 50 cm. The procedure involves the use of the surface observation as the principle constraint in physical space, and only requires that a water balance be kept at the surface so that the mean water content of the soil can be computed at each time step. Comparison to experimental data for the wet and dry phases of the infiltration cycle showed that the theoretical profile gave reasonable simulations as measured by the Nash Sutcliffe Efficiency Statistic. It was also demonstrated that the entropy principle, combined with the kinematic wave approximation, is capable of simulating the dynamic phase of the infiltration process if the unsaturated hydraulic conductivity is treated as a calibration parameter of the model.

Get full access to this article

View all available purchase options and get full access to this article.

References

Amorocho, J., and Espildora, B. (1973). “Entropy in the assessment of uncertainty in hydrologic systems and modeling.” Water Resour. Res., 9(6), 1511–1522.
Arya, L. M., Richter, J. C., and Paris, J. F. (1983). “Estimating profile water storage from surface zone soil moisture measurements under bare field conditions.” Water Resour. Res., 19(2), 403–412.
Barbe, D. E., Cruise, J. F., and Singh, V. P. (1991). “Solution of three-constraint entropy-based velocity distribution.” J. Hydraul. Eng., 117(10), 1389–1396.
Bruckler, L., Witono, H., and Stengel, P. (1988). “Near surface soil moisture estimation from microwave measurements.” Remote Sens. Environ., 26, 101–121.
Campbell, G. S. (1974). “A simple method for determining unsaturated conductivity from moisture retention data.” Soil Sci., 117(6), 311–314.
Charbeneau, R. J. (1984). “Kinematic models for soil moisture and solute transport.” Water Resour. Res., 20(6), 699–706.
Charbeneau, R. J. (2000). Groundwater hydraulics and pollutant transport, Prentice-Hall, Upper Saddle River, N.J.
Charbeneau, R. J., Weaver, J. W., and Smith, V. J. (1989). “Kinematic modeling of multiphase solute transport in the Vadose zone.” EPA Rep. No. EPA/600/2-89/035, R.S.K. Environmental Research Laboratory, U.S. Environmental Protection Agency, Ada, Okla.
Chaubey, I., Haan C. T., Grunwald S., and Salisbury J. M. (1999). “Uncertainty in the model parameters due to spatial variability of rainfall.” J. Hydrol., 220, 48–61.
Chen, Y., and Chiu, C. (2004). “A fast method of flood discharge estimation.” Hydrolog. Process., 18, 1671–1684.
Chiu, C. (1987). “Entropy and probability concepts in hydraulics.” J. Hydraul. Eng., 113(5), 583–600.
Chiu, C. (1988). “Entropy and 2-D velocity distribution in open channels.” J. Hydraul. Eng., 114(7), 738–756.
Chiu, C. (1989). “Velocity distribution in open channel flow.” J. Hydraul. Eng., 115(5), 576–594.
Clapp, R. B., and Hornberger, G. M. (1978). “Empirical equations for soil hydraulic properties.” Water Resour. Res., 14(4), 601–604.
Crosson, W. L., Laymon, C. A., Inguva, R., and Schamschula, M. (2002). “Assimilating remote sensing data in a surface flux-soil moisture model.” Hydrolog. Process., 16, 1645–1662.
De Troch, F. P., Troch, P. A., Su, Z., and Lin, D. S. (1996). “Application of remote sensing for hydrological modeling.” Distributed hydrological modeling, M. Abbott and B. Refsgaard, eds., Kluwer Academic, The Netherlands, 165–191.
Ducharne, A., and Laval, K. (2000). “Influence of the realistic description of soil water-holding capacity on the global water cycle in a GCM.” Bull. Am. Meteorol. Soc., 13, 4393–4413.
Engman, E. T. (1992). “Soil moisture needs in earth sciences.” Proc., Int. Geoscience and Remote Sensing Symp. (IGARSS), IEEE Geoscience and Remote Sensing Society, Piscataway, N.J., 477–479.
Entekhabi, D., Rodriguez-Iturbe, I., and Castelli, F. (1996). “Mutual interaction of soil moisture state and atmospheric processes.” J. Hydrol., 184, 3–17.
Germann, P., and Beven, K. (1985). “Kinematic wave approximation to infiltration into soils with sorbing macropores.” Water Resour. Res., 21, 990–996.
Greco, R. (2006). “Soil water content inverse profiling from single TDR waveforms.” J. Hydrol., 317, 325–339.
Jackson, T. J., Hawley, M. E., and O'Neill, P. E. (1987). “Preplanting soil moisture using passive microwave sensors.” Water Resour. Bull., 23(1), 11–19.
Jain, A. K., and Murty, V. V. N. (1985). “Simulation of soil moisture profiles for scheduling of irrigations.” Agric. Water Manage., 10(2), 175–181.
Jaynes E. T. (1957a). “Information theory and statistical mechanics.” Phys. Rev., 106, 620–630.
Jaynes, E. T. (1957b). “Information theory and statistical mechanics II.” Phys. Rev., 108, 171–190.
Jaynes, E. T. (1982). “On the rationale of maximum-entropy methods.” Proc., IEEE 70.9, IEEE, Piscataway, N.J., 939–952.
Kondratyev, K. Y., Melentyev, V. V., Rabinovich, Y. I., and Shulgina, E. M. (1977). “Passive microwave remote sensing of soil moisture.” Proc., 11th Symp. on Remote Sensing of the Environment, Environmental Research Institute of Michigan, Ann Arbor, Mich., 1641–1661.
Kostov, K. G., and Jackson, T. J. (1993). “Estimating profile soil moisture from surface layer measurements.” Proc., Int. Society for Optical Engineering, International Society for Optical Engineering, Bellingham, Wash., 125–136.
Krstanovic, P. F., and Singh, V. P. (1992). “Evaluation of rainfall networks using entropy: I. Theoretical development.” Water Resour. Manage., 6, 279–293.
Mays, D. C., Faybishenko, B. A., and Finsterle, S. (2002). “Information entropy to measure temporal and spatial complexity of unsaturated flow in heterogeneous media.” Water Resour. Res., 38(12), 1313.
McLaughlin, D. (1995). “Recent advancements in hydrologic data assimilation.” Rev. Geophys. Supplement, 33(S1), 977–984.
Melone, F., Corradini, C., Morbidelli, R., and Saltalippi, C. (2006). “Laboratory experimental check of a conceptual model for infiltration under complex rainfall patterns.” Hydrolog. Process., 20, 439–452.
Menziani, M., Pugnaghi, S., Leva, M., and Vincenzi, S. (2006). “Vertical water content distribution in the unsaturated soil by TDR measurements at shallow depth.” Proc., BALWOIS Conf. on Water Observation and Information System for Decision Support, Balkan Water Observation and Information System, Ohrid, Republic of Macedonia.
Moore, R. J. (1985). “The probability-distributed principle and runoff production at point and basin scales.” Hydrol. Sci. J., 30, 273–297.
Nash, J. E., and Sutcliffe J. V. (1970). “River flow forecasting through conceptual models. Part 1—A discussion of principles.” J. Hydrol., 10, 282–290.
Pachepsky, Y., et al. (2006). “Information content and complexity of simulated soil water fluxes.” Geoderma, 134, 253–266.
Ragab, R. (1995). “Towards a continuous operational system to estimate the root-zone soil moisture from intermittent remotely sensed surface moisture.” J. Hydrol., 173, 1–25.
Reutov, E. A., and Shutko, A. M. (1986). “Prior-knowledge-based soil-moisture determination by microwave radiometry.” Soviet J. Remote Sensing, 5(1), 100–125.
Schmugge, T. J., Jackson, T. J., and McKim, H. L. (1980). “Survey of methods for soil moisture determination.” Water Resour. Res., 16(6), 961–979.
Shannon, C. E. (1948). “A mathematical theory of communication.” Bell Syst. Tech. J., 27(3), 379–423.
Silberstein, R. P., Vertessy, R. A., Morris J., and Feikema, P. M. (1999). “Modeling the effects of soil moisture and solute conditions on long-term tree growth and water use: A case study from the Shepparton Irrigation Area, Australia.” Agric. Water Manage., 39, 283–315.
Singh, V. P. (1997). Kinematic wave modeling in water resources: Environmental hydrology, Wiley, New York.
Singh, V. P. (2000). “The Entropy theory as a tool for modeling and decision-making in environmental and water resources.” Water SA, 26, 1–12.
Singh, V. P., and Joseph, E. S. (1994). “Kinematic-wave model for soil-moisture movement with plant-root extraction.” Irrig. Sci., 14, 189–198.
Singh, V. P., Rajagopal, A. K., and Singh, K. (1986). “Derivation of some frequency distributions using the principle of maximum entropy (POME).” Adv. Water Resour., 9(2), 91–106.
Singh, V. P., and Singh, K. (1988). “Parameter estimation for log-pearson type III distribution by POME.” J. Hydraul. Eng., 114(l), 112–l22.
Smith, R. E. (1983). “Approximate soil water movement by kinematic characteristics.” Soil Sci. Soc. Am. J., 47, 3–8.
Srivastava, S. K., Yograjan, N., Jayaraman, V., Nageswara Rao, P. P., and Chandrasekhar, M. G. (1997). “On the relationship between ERS-1 SAR/backscatter and surface/sub-surface soil moisture variations in vertisols.” Acta Astronaut., 40(10), 693–699.
Walker, J. P., Troch, P. A., Mancini, M., Willgoose, G. R., and Kalma, J. D. (1997). “Profile soil moisture estimation using the modified IEM.” Proc., Geoscience and Remote Sensing Symp. (IGARSS), IEEE Geoscience and Remote Sensing Society, Piscataway, N.J., 1263–1265.
Walker, J. P., Willgoose, G. R., and Kalma, J. D. (2001). “One-dimensional soil moisture profile retrieval by assimilation of near-surface observations: a comparison of retrieval algorithms.” Adv. Water Resour., 24(6), 631–650.
Western, A. W., and Blöschl, G. (1999). “On the spatial scaling of soil moisture.” J. Hydrol., 217, 203–224.
Yamada, T., and Kobayashi, M. (1988). “Kinematic wave characteristics and new equations of unsaturated infiltration.” J. Hydrol., 102, 257–266.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 15Issue 5May 2010
Pages: 327 - 337

History

Received: Oct 20, 2008
Accepted: Oct 6, 2009
Published online: Nov 11, 2009
Published in print: May 2010

Permissions

Request permissions for this article.

Authors

Affiliations

O. Z. Al-Hamdan [email protected]
USDA-ARS Northwest Watershed Research Center, Boise, ID 83712. E-mail: [email protected]
J. F. Cruise, F.ASCE [email protected]
Dept. of Civil Engineering, Univ. of Alabama in Huntsville, Huntsville, AL 35899 (corresponding author). E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share