Representation of space–time variability of soil moisture

Author:

Isham V1,Cox D.R2,Rodríguez-Iturbe I3,Porporato A4,Manfreda S35

Affiliation:

1. Department of Statistical Science, University College LondonGower Street, London WC1E 6BT, UK

2. Nuffield College, University of OxfordOxford OX1 1NF, UK

3. Department of Civil and Environmental Engineering, Princeton UniversityPrinceton, NJ 08540, USA

4. Department of Civil and Environmental Engineering, Duke UniversityDurham, NC 27708, USA

5. Dipartimento di Ingegneria e Fisica dell'Ambiente (DIFA), Università degli Studi della BasilicataPotenza 85100, Italy

Abstract

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.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

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