Non-uniqueness of evapotranspiration due to spatial heterogeneity of plant species

Jan Martin Nordbotten; Ignacio Rodriguez-Iturbe; Michael Anthony Celia

doi:10.1098/rspa.2005.1641

Non-uniqueness of evapotranspiration due to spatial heterogeneity of plant species

Jan Martin Nordbotten, Ignacio Rodriguez-Iturbe, Michael Anthony Celia

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Spatially averaged soil moisture dynamics are studied under seasonally fixed conditions. We consider rainfall as a marked Poisson process, uniformly covering a spatial domain consisting of multiple plant types. Each plant type is considered to have different characteristics in terms of evapotranspiration functions, root-zone depth and rainfall interception. Equations for the evolution of joint probability density functions for individual soil moistures associated with different plant types are developed, and the non-uniqueness of the spatially averaged evapotranspiration function as a function of the average soil moisture is demonstrated and quantified in an example.

Original language	English (US)
Pages (from-to)	2359-2371
Number of pages	13
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	462
Issue number	2072
DOIs	https://doi.org/10.1098/rspa.2005.1641
State	Published - 2006

All Science Journal Classification (ASJC) codes

General Mathematics
General Engineering
General Physics and Astronomy

Keywords

Non-uniqueness
Soil moisture
Stochastic models in hydrology
Upscaling

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10.1098/rspa.2005.1641

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abstract = "Spatially averaged soil moisture dynamics are studied under seasonally fixed conditions. We consider rainfall as a marked Poisson process, uniformly covering a spatial domain consisting of multiple plant types. Each plant type is considered to have different characteristics in terms of evapotranspiration functions, root-zone depth and rainfall interception. Equations for the evolution of joint probability density functions for individual soil moistures associated with different plant types are developed, and the non-uniqueness of the spatially averaged evapotranspiration function as a function of the average soil moisture is demonstrated and quantified in an example.",

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AU - Rodriguez-Iturbe, Ignacio

AU - Celia, Michael Anthony

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AB - Spatially averaged soil moisture dynamics are studied under seasonally fixed conditions. We consider rainfall as a marked Poisson process, uniformly covering a spatial domain consisting of multiple plant types. Each plant type is considered to have different characteristics in terms of evapotranspiration functions, root-zone depth and rainfall interception. Equations for the evolution of joint probability density functions for individual soil moistures associated with different plant types are developed, and the non-uniqueness of the spatially averaged evapotranspiration function as a function of the average soil moisture is demonstrated and quantified in an example.

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KW - Soil moisture

KW - Stochastic models in hydrology

KW - Upscaling

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Non-uniqueness of evapotranspiration due to spatial heterogeneity of plant species

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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