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Representation of space-time variability of soil moisture

Publication ,  Journal Article
Isham, V; Cox, DR; Rodríguez-Iturbe, I; Porporato, A; Manfreda, S
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
December 8, 2005

A simplified spatial-temporal soil moisture model driven by stochastic spatial rainfall forcing is proposed. The model is mathematically tractable, and allows the spatial and temporal structure of soil moisture fields, induced by the spatial-temporal variability of rainfall and the spatial variability of vegetation, to be explored analytically. The influence of the main model parameters, reflecting the spatial scale of rain cells, the soil storage capacity, the rainfall interception and the soil water loss rate (representing evaporation and deep infiltration) is investigated. The variabilities of the spatially averaged soil moisture process, and that averaged in both space and time, are derived. The present analysis focuses on spatially uniform vegetation conditions; a follow-up paper will incorporate stochastically heterogeneous vegetation. © 2005 The Royal Society.

Duke Scholars

Published In

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

DOI

EISSN

1471-2946

ISSN

1364-5021

Publication Date

December 8, 2005

Volume

461

Issue

2064

Start / End Page

4035 / 4055

Related Subject Headings

  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Isham, V., Cox, D. R., Rodríguez-Iturbe, I., Porporato, A., & Manfreda, S. (2005). Representation of space-time variability of soil moisture. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 461(2064), 4035–4055. https://doi.org/10.1098/rspa.2005.1568
Isham, V., D. R. Cox, I. Rodríguez-Iturbe, A. Porporato, and S. Manfreda. “Representation of space-time variability of soil moisture.” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461, no. 2064 (December 8, 2005): 4035–55. https://doi.org/10.1098/rspa.2005.1568.
Isham V, Cox DR, Rodríguez-Iturbe I, Porporato A, Manfreda S. Representation of space-time variability of soil moisture. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2005 Dec 8;461(2064):4035–55.
Isham, V., et al. “Representation of space-time variability of soil moisture.” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 461, no. 2064, Dec. 2005, pp. 4035–55. Scopus, doi:10.1098/rspa.2005.1568.
Isham V, Cox DR, Rodríguez-Iturbe I, Porporato A, Manfreda S. Representation of space-time variability of soil moisture. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2005 Dec 8;461(2064):4035–4055.
Journal cover image

Published In

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

DOI

EISSN

1471-2946

ISSN

1364-5021

Publication Date

December 8, 2005

Volume

461

Issue

2064

Start / End Page

4035 / 4055

Related Subject Headings

  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences