TABLE OF CONTENTS -- 1. QUANTITATIVE MAPPING AND THE ISARITHM -- The Isarithmic Technique in General -- Isopleth Mapping -- Cartographic Generalization and the Isarithmic Interval -- Error Characteristics of the Isopleth Map -- The Experimental Design -- 2. THE PREPARATION OF THE EXPERIMENTAL DATA -- Selection of the Original Distributions -- Selection of Unit Area Patterns -- Derivation of Unit Area Data -- Transformation to a Hexagonal Pattern -- The Resultant Isopleth Maps -- 3. TESTING AND SAMPLING PROCEDURES -- Evaluation of Isarithmic Accuracy -- Sampling Procedure -- Level of Generalization -- 4. STATISTICAL ANALYSES OF THE FIDELITY OF THE ISOPLETH MAPS -- The Analysis of Variance -- Magnitudes of Map Discrepancies -- Dispersion of Discrepancies -- Algebraic Values of Discrepancies -- 5. VISUAL ANALYSIS OF THE FIDELITY OF THE ISOPLETH MAPS -- Effect of the Unit Area Pattern -- Effect of the Hexagon Size -- Effect of the Surface Configuration -- Relative Significance of the Variables -- GENERAL CONCLUSIONS -- NOTES -- BIBLIOGRAPHY -- INDEX -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- R -- S -- T -- U -- V -- W -- Z -- Plates 1 to 16 appear between pages 33 and 48.