Ramirez, Jorge M and Constantinescu, Corina ORCID: 0000-0002-5219-3022
(2020)
Dynamics of drainage under stochastic rainfall in river networks.
Stochastics and Dynamics, 20 (3).
p. 2050042.
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Abstract
We consider a linearized dynamical system modelling the flow rate of water along the rivers and hillslopes of an arbitrary watershed. The system is perturbed by a random rainfall in the form of a compound Poisson process. The model describes the evolution, at daily time scales, of an interconnected network of linear reservoirs and takes into account the differences in flow celerity between hillslopes and streams as well as their spatial variation. The resulting stochastic process is a piece-wise deterministic Markov process of the Orstein-Uhlembeck type. We provide an explicit formula for the Laplace transform of the invariant density of streamflow in terms of the geophysical parameters of the river network and the statistical properties of the precipitation field. As an application, we include novel formulas for the invariant moments of the streamflow at the watershed's outlet, as well as the asymptotic behavior of extreme discharge events.
Item Type: | Article |
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Uncontrolled Keywords: | math.PR, math.PR, 60G51, 60H10, 37H10 |
Depositing User: | Symplectic Admin |
Date Deposited: | 19 May 2020 09:47 |
Last Modified: | 18 Jan 2023 23:53 |
DOI: | 10.1142/S0219493720500422 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3084757 |
Available Versions of this Item
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Dynamics of drainage under stochastic rainfall in river networks. (deposited 10 Dec 2018 16:20)
- Dynamics of drainage under stochastic rainfall in river networks. (deposited 19 May 2020 09:47) [Currently Displayed]