• Title/Summary/Keyword: Nonstationary 1st order AR process

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A Stochastic Simulation Model for the Precipitation Amounts of Hourly Precipitation Series (시간강수계열의 강수량 모의발생을 위한 추계학적 모형)

  • Lee, Jung-Sik;Lee, Jae-joon;Park, Jong-Young
    • Journal of Korea Water Resources Association
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    • v.35 no.6
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    • pp.763-777
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    • 2002
  • The objective of this study is to develop computer simulation model that produces precipitation patterns from stochastic model. The hourly precipitation process consists of the precipitation occurrence and precipitation amounts. In this study, an event cluster model developed by Lee and Lee(2002) is used to describe the occurrence process of events, and the hourly precipitation amounts within each event is described by a nonstationary form of a first-order autoregressive process. The complete stochastic model for hourly precipitation is fitted to historical precipitation data by estimating the model parameters. An analysis of historical and simulated hourly precipitation data for Seoul indicates that the stochastic model preserves many of the features of historical precipitation. The autocorrelation coefficients of the historical and simulated data are nearly identical except for lags more than about 3 hours. The precipitation intensity, duration, marginal distributions, and conditional distributions for event characteristics for the historical and simulated data showed in general good agreement with each other.