A method of estimating mean errors in areas on a map from the errors in point separations.

Abstract

Summary� The computer program MapAnalyst allows a fit of a test map to a standard map by a bi-dimensional lin- ear regression on a set of corresponding points in the two maps and provides as one output the scale of the test map, assuming that the scale of the standard map is known. Another output is a distortion grid. It is shown by consideration of a specific example, Robert Saxton's map of Manningham, dated 1613, that the standard deviation of the errors in area of plots of land shown on the test map cannot be reliably deter- mined from the distortion grid. It can, however, be determined from the statistics of the errors in separa- tions of the points on the test map, which can be calculated from the rescaled map. The result is only reli- able provided that corresponding points can be found on the two maps such that their mean separations are comparable with the linear dimensions of the plots whose areas are considered.

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