Fitting of precipitation in 49 European capitals from 1901 to 1998 using random walk

Abstract

Mathematical modeling of precipitation is an important step to understand the precipitation patterns, and paves the way to possibly predict the precipitation. In this study, we attempt to use the random walk model to fit the annual precipitation in 49 European capitals from 1901 to 1998. At first, we used the simplest random walk model to fit the precipitation walk, which is the conversion of recorded precipitations into ±1 format, and then we used a more complex random walk model to fit the recorded precipi-tations. The results show that the random walk models can fit both precipitation walk and re-corded precipitation. Thus this study provides a model to describe the precipitation patterns during this period in these cities.