Accession Number : AD0665313

Title :   GEOGRAPHY AND THE PROPERTIES OF SURFACES. SPATIAL ORDER IN FLUVIAL SYSTEMS: HORTON'S LAWS DERIVED FROM MIXED HEXAGONAL HIERARCHIES OF DRAINAGE BASIN AREAS.

Corporate Author : HARVARD UNIV CAMBRIDGE MASS LAB FOR COMPUTER GRAPHICS

Personal Author(s) : Woldenberg,Michael J.

Report Date : 14 FEB 1968

Pagination or Media Count : 38

Abstract : The paper will show that the number of drainage basins in a fluvial system developed on a homogeneous surface is predictable, or explainable. The explanation of the numbers of basins is derived from a hexagonal model. In fact the model is exactly the same one used to predict the numbers of market areas per order in a system of central places, i.e. the cumulation of the numbers of towns of order u, and all higher orders. (Woldenberg, 1968). The paper will suggest that the equilibrium state in fluvial systems reflects a combination of least work and maximum possible entropy.

Descriptors :   (*RIVER CURRENTS, MATHEMATICAL MODELS), (*GEODESICS, MATHEMATICAL MODELS), HYDRAULIC MODELS, EROSION, GEOMETRY, TERRAIN, DRAINAGE, ENTROPY, FREE ENERGY, KINETIC ENERGY, MATHEMATICAL PREDICTION

Subject Categories : Geodesy
      Hydrology, Limnology and Potamology

Distribution Statement : APPROVED FOR PUBLIC RELEASE