a time fractional model to represent rainfall process

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ID: 132113
2014
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Abstract
This paper deals with a stochastic representation of the rainfall process. The analysis of a rainfall time series shows that cumulative representation of a rainfall time series can be modeled as a non-Gaussian random walk with a log-normal jump distribution and a time-waiting distribution following a tempered α-stable probability law. Based on the random walk model, a fractional Fokker-Planck equation (FFPE) with tempered α-stable waiting times was obtained. Through the comparison of observed data and simulated results from the random walk model and FFPE model with tempered á-stable waiting times, it can be concluded that the behavior of the rainfall process is globally reproduced, and the FFPE model with tempered α-stable waiting times is more efficient in reproducing the observed behavior.
Reference Key
golder2014watera Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Jacques Golder;Maminirina Joelson;Marie-Christine Neel;Liliana Di Pietro
Journal The Journal of emergency medicine
Year 2014
DOI
10.3882/j.issn.1674-2370.2014.01.004
URL
http://www.sciencedirect.com/science/article/pii/S1674237015302647
Keywords
lake hurst exponent

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