Bathymetric maps are the source of most morphometric data used in limnological, hydrological, and sedimentological contexts. The reliability of the morphometric data will depend on the accuracy of the bathymetric map, which in turn will depend on the intensity of the hydrographic survey. The aim of this work is to analyze thoroughly the relationship between intensity of survey, aim of survey, and yield of survey and to deduce a formula which may be used to express these concepts quantitatively so that hydrographic surveys can be executed in an optimal manner. An empirical formula which may be utilized to estimate the length of contour lines of a given bathymetric map from the hypsographic curve is also introduced.
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Lars Håkanson (1978) studied this question.