The Application of Factor Analysis and Kernel Density Estimation Model in the Appraisal of Spatial Development of Tonekabon Rural Areas

in geographical studies of rural areas، due to the diversity of place and space phenomenon، it is not possible to study as single and individual. Therefore، the first step is to classify these phenomena in similar categories. In particular، factor analysis as a powerful tool against this problem، is responsible to develope solutions to reduce and analyze the factors. In this paper، 38 indicators were used for leveling villages of Tonekabon city، which was reduced using factor analysis to four factors. Today، he use of geographic information systems in the spatial analysis of rural development and using statistical models and tests of graphics benchmark in order to provide spatial data base، sorting، spatial display of information، the integration of spatial information and analysis is common. The research method in this study is analytical-synthetic method and the data analysis as qualitative and quantitative were made using inferential statistical methods using SPSS and ArcGIS10 softwares. The results show that economic and physical factors، with special quantity of 17/305، is lonely able to calculate 33/769% of the variance And has the most effect among the four factors and is known as a major factor in leveling the villages. Also the best model for estimating the density of development in the region، is kernel model which was selected as the best model with determinant factor of 0. 71. According to this model، the development density is in the villages of northwest part of the town.