Simple Calculation of Classification Indices of Villages by Means of Mesh Data.
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概要
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In the previous paper titled "ON CLASSIFICATION OF VILLAGES BY USING UNIFORM POINT SET" ("JOURNAL OF RURAL PLANNING ASSOCIATION 13-3") two classification indices were introduced in accordance with density of houses regarded as points, and their usefulness in village classification was proved. In this paper a simple approximate calculating method of these two classification is discussed.<BR>This method is developed under the assumption that probability with which a point appears anywhere within a mesh grid is equal, requiring, instead of house coordinate, only relative location of some mesh grids and numbers of points within those grids.<BR>In order to reduce the influence to the calculating precision resulting from mesh, a new kind of mesh is introduced in this paper, namely "the unfixed mesh" for its grid size, contrary to the normally used mesh, is changeable along with each given point set.<BR>By doing the Monte-Carlo simulation for about 3, 000 point sets, the following results are examined: <BR>1. High calculation precision in practical using of the two classification indices could be obtained as long as the grid size of the unfixed mesh is properly small.<BR>2. The less the point number, and the smaller the relative calculation error, the bigger the grid number of the unfixed mesh would be necessary.<BR>3. Especially, the grid number of this kind depends on whether or not points are less than 50. For instance, to have relative calculation error of less than 5%, it is necessary for the unfixed mesh grids to be at least 9×9 if points are more than 50, while that would become at least 18×18 if points less than 50.
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