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Entropy 2015, 17(6), 4454-4484;

Modeling Soil Moisture Profiles in Irrigated Fields by the Principle of Maximum Entropy

Earth System Science Center, National Space Science and Technology Center, University of Alabama in Huntsville, 320 Sparkman Drive, Huntsville, Al 35805, USA
Northwest Watershed Research Center, USDA Agricultural Research Service, 800 E. Park Blvd, Plaza IV, Suite 105, Boise, ID 83712, USA
Department of Civil and Environmental Engineering, University of Alabama in Huntsville, 301 Sparkman Drive, Huntsville, AL 35899, USA
Author to whom correspondence should be addressed.
Academic Editor: Nathaniel A. Brunsell
Received: 26 April 2015 / Revised: 4 June 2015 / Accepted: 18 June 2015 / Published: 23 June 2015
(This article belongs to the Special Issue Entropy in Hydrology)
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Vertical soil moisture profiles based on the principle of maximum entropy (POME) were validated using field and model data and applied to guide an irrigation cycle over a maize field in north central Alabama (USA). The results demonstrate that a simple two-constraint entropy model under the assumption of a uniform initial soil moisture distribution can simulate most soil moisture profiles that occur in the particular soil and climate regime that prevails in the study area. The results of the irrigation simulation demonstrated that the POME model produced a very efficient irrigation strategy with minimal losses (about 1.9% of total applied water). However, the results for finely-textured (silty clay) soils were problematic in that some plant stress did develop due to insufficient applied water. Soil moisture states in these soils fell to around 31% of available moisture content, but only on the last day of the drying side of the irrigation cycle. Overall, the POME approach showed promise as a general strategy to guide irrigation in humid environments, such as the Southeastern United States. View Full-Text
Keywords: maximum entropy; soil moisture; irrigation efficiency maximum entropy; soil moisture; irrigation efficiency
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Mishra, V.; Ellenburg, W.L.; Al-Hamdan, O.Z.; Bruce, J.; Cruise, J.F. Modeling Soil Moisture Profiles in Irrigated Fields by the Principle of Maximum Entropy. Entropy 2015, 17, 4454-4484.

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