Isopleth maps depict different types of standardized data densities, general ratios/rates, and proportions/percentages. In this study, we describe different paths each type of standardized data takes to construct isoplethic surfaces in a cartographic modeling framework. As suggested in previous research, an area-based pycnophylactic interpolator is preferred to point interpolators in isopleth mapping not only because it preserves the total volume in each aggregation unit but also because it is non-parametric and is able to incorporate ancillary data to increase the accuracy of a surface representation. Here, a general pycnophylactic method is used to generate isopleth maps of density surfaces, but a hybrid approach is proposed to address the small denominator problem that arises when mapping ratio/rate and proportion/percentage surfaces. Finally, we propose a value-by-perspective height mapping procedure to resolve the visual equalization problem associated with ratio/rate and proportion/percentag...

A cartographic modeling approach to isopleth mapping

This study reunites areal interpolation with the isopleth mapping process to construct an inferred larger scale isopleth map. Intelligent areal interpolation is used to construct two types of population density surfaces that are used as inputs for pycnophylactic interpolation of an isopleth surface. One is a target zone population density surface (TZPDS) and the other is a control zone population density surface (CZPDS). Results suggest that an inferred isopleth map with remote sensing control data is a better surface depiction than an isopleth map without any control data, and the quality of such an isopleth map is further improved by enhancing the remote sensing data with residential parcel information. A CZPDS-derived intelligent isopleth map also has more peaks and variations in population distribution patterns than does a TZPDS-derived one due to the larger scale of the control data.

Inferring Spatial Scale Change in an Isopleth Map

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Inferring Spatial Scale Change in an Isopleth Map