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 | |
| 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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