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Probabilistic modelling of water balance at a point: The role of climate, soil and vegetation

Publication ,  Journal Article
Rodriguez-Iturbe, I; Porporato, A; Rldolfi, L; Isham, V; Cox, DR
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
January 1, 1999

The soil moisture dynamics under seasonally fixed conditions are studied at a point. The water balance is described through the representation of rainfall as a marked Poisson process, which in turn produces an infiltration into the soil dependent on the existing level of soil moisture. The losses from the soil are due to evapotranspiration and leakage, which are also considered dependent on the existing soil moisture. The steady-state probability distributions for soil moisture are then analytically obtained. The analysis of the distribution allows for the assessment of the role of climate, soil and vegetation on soil moisture dynamics. Further hydrologic insight is obtained by studying the various components of an average water balance. The realistic representation of the processes acting at a site and the analytical tractability of the model make it well suited for further analyses that consider the spatial aspect of soil moisture dynamics. © 1999 The Royal Society.

Duke Scholars

Published In

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

DOI

ISSN

1364-5021

Publication Date

January 1, 1999

Volume

455

Issue

1990

Start / End Page

3789 / 3805

Related Subject Headings

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

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Rodriguez-Iturbe, I., Porporato, A., Rldolfi, L., Isham, V., & Cox, D. R. (1999). Probabilistic modelling of water balance at a point: The role of climate, soil and vegetation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 455(1990), 3789–3805. https://doi.org/10.1098/rspa.1999.0477
Rodriguez-Iturbe, I., A. Porporato, L. Rldolfi, V. Isham, and D. R. Cox. “Probabilistic modelling of water balance at a point: The role of climate, soil and vegetation.” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 455, no. 1990 (January 1, 1999): 3789–3805. https://doi.org/10.1098/rspa.1999.0477.
Rodriguez-Iturbe I, Porporato A, Rldolfi L, Isham V, Cox DR. Probabilistic modelling of water balance at a point: The role of climate, soil and vegetation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 1999 Jan 1;455(1990):3789–805.
Rodriguez-Iturbe, I., et al. “Probabilistic modelling of water balance at a point: The role of climate, soil and vegetation.” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 455, no. 1990, Jan. 1999, pp. 3789–805. Scopus, doi:10.1098/rspa.1999.0477.
Rodriguez-Iturbe I, Porporato A, Rldolfi L, Isham V, Cox DR. Probabilistic modelling of water balance at a point: The role of climate, soil and vegetation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 1999 Jan 1;455(1990):3789–3805.
Journal cover image

Published In

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

DOI

ISSN

1364-5021

Publication Date

January 1, 1999

Volume

455

Issue

1990

Start / End Page

3789 / 3805

Related Subject Headings

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