A time fractional model to represent rainfall process

摘要：

This work deals with a stochastic representation of rainfall process. Starting from the analysis of time series, we show that cumulative representation of 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. By taking the limit of the random walk model, a fractional Fokker-Planck equation is found to govern the rainfall process.

关键词： rainfall time series heavy tailed probability distribution tempered α-stable law log-normal Hurst exponent continuous time random walk fractional Fokker-Planck equation.

作者: J. Golder M. Joelson M.C. Néel L. Di Pietro

作者单位: Université d’Avignon et des Pays du Vaucluse, 33 rue Pasteur, 84000Avignon, FRANCE Centre de Recherche INRA PACA, Domaine Saint-Paul Site Agroparc, 84914 Avignon, FRANCE

会议类型: 国际会议

会议名称: The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)

会议地点: 南京

会议语种:英文

页码: 1-4

在线出版日期: 2012-05-14（万方平台首次上网日期，不代表论文的发表时间）