The Topological Information Content of a Map / An Attempt At A Rehabilitation Of Information Theory In Cartography

Abstract

This paper recalls promising attempts at the application of information theory in cartography and their denial by means of the concept of information increment generated in the course of map interpretation which is out of keeping with the principles of information theory. Critical analysis of the idea of information increment is presented, and applied information theory and topology are identified as a scientific environment facilitating explanation of this increment as an inherent attribute of a map. The paper introduces the topological information content of a map as an effective instrument for quantification of the increment mentioned and demonstrates its application in an experimental river basin map. Operation of this tool confirms that the concept of information increment is compatible with the principles of applied information theory which finds hardier usefulness in cartography.