A NOTE ON THE GENERAL MATHEMATICAL EQUIVALENCY OF ECONOMIC BASE AND AGGREGATE INPUT-OUTPUT MULTIPLIERS: FACT OR FICTION*

ABSTRACT A longstanding inconsistency in the definition of basic and nonbasic economic activity is resolved. When indirect exports are included in the basic, rather than the nonbasic sector, and the model is closed with respect to households, economic base and aggregate input-output mulitpliers constructed with the same data and definitions will be mathematically identical.     

STABLE ECONOMIC AGGLOMERATION PATTERNS IN TWO DIMENSIONS: BEYOND THE SCOPE OF CENTRAL PLACE THEORY

This paper elucidates which agglomeration patterns exist in two‐dimensional economic space and how such patterns appear stably. Hexagonal lattices, that with and that without a boundary, are advanced, respectively, as practical and theoretical spatial platforms of economic activities. Agglomeration patterns on these lattices include hexagons in central place theory, but also encompass megalopolis and racetrack‐shaped decentralization. As the transport cost decreases, stable economic agglomeration undergoes the formation of the smallest hexagon and transition to patterns with larger market areas, often undergoing downtown decay but finally leading to a megalopolis. Formulas for break points are provided in an economic geography model.     

AN ECONOMIC INTERPRETATION OF KUHN'S DUAL FOR THE STEINER-WEBER PROBLEM A NOTE*

In this paper, we given an economic interpretation of Kuhn's dual of the Steiner-Weber problem. It depends essentially on the notion that different transportation systems arerelevant for the primal and the dual. Moreover, the Euclidean metric underlies the interpretation of the primal, the block one that of the dual.     

AN INDUSTRIAL AGGLOMERATION APPROACH TO CENTRAL PLACE AND CITY SIZE REGULARITIES*

ABSTRACT An empirical regularity designated as the Number‐Average Size (NAS) Rule was first identified for the case of Japan by Mori, Nishikimi, and Smith , and subsequently extended to the United States by Hsu . This rule asserts a negative log‐linear relation between the number and average population size of cities where a given industry is present. In this paper, we utilize the cluster‐identification methodology developed by Mori and Smith to sharpen this notion of “industrial presence” by focusing only on cities that constitute at least part of a significant spatial agglomeration for the given industry. Our key result is to show that the NAS rule continues to hold (even more strongly) under this sharper definition.