Comparison and accuracy of the methods for determining the area of parcels

Abstract

The method of work is to perform a comparative analysis of the methods of determining the area of land plots. Research methods were performed: calculation of the area of land plots on the physical surface of the ellipsoid; calculation of the area of the horizontal projection of the land plot; Calculation of the area of the physical surface of land plots, as well as through practical implementation, the stated theoretical studies were confirmed. The performed calculations indicate that the results of calculating the physical areas of land plots using different coordinate systems are practically the same. However, the difference between the results obtained by dividing the land plot into triangles and the results of increasing the area of physical surfaces by the coordinates of the top reaches a value of approximately 1%. The reason for these discrepancies arises from the fact that all the vertices of the polygon lie on the same area, and when dividing this polygon (land plot) into triangles, the different slope of the land surface in different places of the land plot is taken into account. Calculation of the area of real estate objects must be performed simultane-ously with an assessment of the accuracy of the results obtained. Accuracy assessment is characterized by the reliability of area information and also ensures making correct decisions about changes to the original data when re-determining the area. The work proves that during the procedure of buying and selling land plots at their market value, the purpose of land acquisition is: in one case, the horizontal dimensions of land plots are important; in the second - the dimensions of the area of physical surfaces. Thus, in agriculture, the horizontal area determines the number of upright plants, and the size of the area of the physical surface of the land affects the amount of work related to its cultivation, and therefore in land management, cadastre, and real estate evaluation, it is appropriate to use the area of the horizontal projection and the physical surface of the land plot.