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Annual Review of Statistics and Its Application

Volume 11, 2024

Stochastic Models of Rainfall

Abstract

Rainfall is the main input to most hydrological systems. To assess flood risk for a catchment area, hydrologists use models that require long series of subdaily, perhaps even subhourly, rainfall data, ideally from locations that cover the area. If historical data are not sufficient for this purpose, an alternative is to simulate synthetic data from a suitably calibrated model. We review stochastic models that have a mechanistic structure, intended to mimic physical features of the rainfall processes, and are constructed using stationary point processes. We describe models for temporal and spatial-temporal rainfall and consider how they can be fitted to data. We provide an example application using a temporal model and an illustration of data simulated from a spatial-temporal model. We discuss how these models can contribute to the simulation of future rainfall that reflects our changing climate.

Keyword(s): climate change, flood risk assessment, point process, Poisson cluster process, stochastic rainfall generation, stochastic-mechanistic model
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2024-04-22
2024-05-11
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/content/journals/10.1146/annurev-statistics-040622-023838
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Stochastic Models of Rainfall
Annual Review of Statistics and Its Application 11, 51 (2024); https://doi.org/10.1146/annurev-statistics-040622-023838
/content/journals/10.1146/annurev-statistics-040622-023838
/content/journals/10.1146/annurev-statistics-040622-023838
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