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.
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.
Cite this paper
Yan, S. and Wu, G. (2011) Fitting of precipitation in 49 European capitals from 1901 to 1998 using random walk. Natural Science, 3, 430-435. doi: 10.4236/ns.2011.36059.
Yan, S. and Wu, G. (2011) Fitting of precipitation in 49 European capitals from 1901 to 1998 using random walk. Natural Science, 3, 430-435. doi: 10.4236/ns.2011.36059.
References
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[1] Yan, S. and Wu, G. (2011) Fitting of SSEC index (Shanghai Composite) from January 2000 to July 2010 using random walk model. Guangxi Sciences, 18, 92-96. [2] Yan, S. and Wu, G. (2010) Modeling of global temperature change from 1850 to 2009 using random walk. Guangxi Sciences, 17, 148-150. [3] Yan, S. and Wu, G. (2010) Application of random walk model to fit temperature in 46 gamma world cities from 1901 to 1998. Natural Sciences, 2, 1425-1431. doi:10.4236/ns.2010.212174 [4] ORNL DAAC Data Holdings. (2010) http://daac.ornl.gov/holdings.html [5] Willison, S. (2010) Get Lat Lon. http://www.getlatlon.com/ [6] Feller, W. (1968) An introduction to probability theory and its applications. Third Edition, Wiley, New York. [7] SPSS Inc., SigmaPlot 2002 for Windows Version 8.02. (1986-2001). [8] Borovkov, A. and Borovkov, K. (2008) Asymptotic analysis of random walks: Heavy-tailed distributions. Cambridge University Press, Cambridge. doi:10.1017/CBO9780511721397