A Matern model of the spatial covariance structure of point rain rates Academic Article

abstract

• 2014, Springer-Verlag Berlin Heidelberg. It is challenging to model a precipitation field due to its intermittent and highly scale-dependent nature. Many models of point rain rates or areal rainfall observations have been proposed and studied for different time scales. Among them, the spectral model based on a stochastic dynamical equation for the instantaneous point rain rate field is attractive, since it naturally leads to a consistent spacetime model. In this paper, we note that the spatial covariance structure of the spectral model is equivalent to the well-known Matrn covariance model. Using high-quality rain gauge data, we estimate the parameters of the Matrn model for different time scales and demonstrate that the Matrn model is superior to an exponential model, particularly at short time scales.

authors

• Bowman, Kenneth

published proceedings

• STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT

author list (cited authors)

• Sun, Y., Bowman, K. P., Genton, M. G., & Tokay, A.

citation count

• 15

complete list of authors

• Sun, Ying||Bowman, Kenneth P||Genton, Marc G||Tokay, Ali

publication date

• July 2014

publisher

• Springer Nature  Publisher

published in

• Stochastic Environmental Research and Risk Assessment  Journal

keywords

• Covariance Model
• Exponential Covariance
• Matern Covariance
• Point Rain Rates
• Spectral Model
• Time Scales

Digital Object Identifier (DOI)

• 10.1007/s00477-014-0923-2

start page

• 411

end page

• 416

volume

• 29

issue

• 2