Kriging Interpolation For Monthly Rainfall In Liaoning Province

Spatial statistics not only have important research significance in applied statistics,but also play an important role in many fields such as geology,measurement and control,meteorology and urban planning.Spatial interpolation,as one of the most important contents in spatial statistics,has more practical value of research.Since the 1960 s,the data of the spatial structure have drawn increasing attention.According to the spatial correlation between the data,these samples can reflect all the features or information of the whole observation area,which means that the spatial interpolation can predict the data information of unknown geospatial.The kriging method,which has a solid theoretical foundation from the development of geostatistics,shows great superiority in error analysis.The main contents are organized as follow:Chapter First: The background and significance of the study.This chapter mainly introduces the development of the spatial statistics kriging method and its application at home and abroad.The superiority of geostatistical spatial interpolation methods also briefly discussed in this chapter.Chapter Two: The property of spatial data.The characteristic of spatial data is that it has autocorrelation within the spatial range.This chapter mainly introduces several indexes when analyzing the spatial autocorrelation of spatial data.At the same time,it also introduces the basic definition of variogram function of kriging method and the several most commonly used empirical semivariogram models.Chapter Three: Introduction of kriging method.Four kinds of kriging methods are introduced in more detail: ordinary kriging,universal kriging,median polish kriging and cokriging.Chapter Four: Case Study.Considering the altitude information,the cokriging method is used to interpolate the monthly rainfall mean values in Liaoning Province in July.The different semivariogram models are simulated and cross-validated.After comparison,the best interpolation model is obtained.Finally,the visual rainfall interpolation in Liaoning Province is carried out.