THE LOCATION THEORY OF THE PLANTATION*

ABSTRACT This paper develops a method for studying noninfinitesimal operational units, with the Thünen location and land use model. With constant returns to scale and perfect divisibility of nonland inputs, all operational units would occupy only a point on the landscape. The present model uses increasing returns to scale to generate large operational units, called “plantations” and studies the comparative statics. The setting of the model is an agricultural operation in which some processing of raw crop must be conducted prior to shipment to market. The processing is assumed to have increasing returns to scale.     

THE MINIMAX-MIN LOCATION PROBLEM*

We consider a new objective function for the placement of a public facility with reference to variations in accessibility : the minimization of the range between the maximal and the minimal distances to users. Some properties of the solution are given; algorithms for the Euclidean and rectilinear distance cases are presented.     

OPTIMUM LOCATION AND THEORY OF THE FIRM UNDER A REGULATORY CONSTRAINT*

This paper attempts to incorporate space in the theory of a regulated firm. It will show that the A-J effects are not affected in a spatial setting. In addition, it will also demonstrate that as the difference between the regulated fair rate of return and the unconstrained profit-maximizing rate of return on capital becomes greater, the optimum location of the regulated firm moves towards the site of the product market, if capital and labor are complements (substitutes) and if marginal transportation costs (with respect to distance) are an increasing (decreasing) function of labor usage.     

THE PURE THEORY OF HOUSEHOLD LOCATION AN AXIOMATIC APPROACH*

In this paper, I present an axiomatic basis for the neoclassical model of household location in a monocentric urban area. I generalize the existing framework and demonstrate that many of the conclusions derived using parametric models continue to hold even without the popularly assumed well-behaved utility and transportation cost functions.     

NETWORK EQUILIBRIUM MODELS OF URBAN LOCATION AND TRAVEL CHOICES: A RETROSPECTIVE SURVEY*

ABSTRACT The origins and development of the network equilibrium problem are traced and interrelated. Two principal formulations are considered the network equilibrium problem with variable travel demand, and the combined model of trip distribution and traffic assignment. The relation of these models to subsequent developments concerning mode choice, residential location, estimation of origin-destination tables from link flows and stochastic route choice are then reviewed.     

LOCATION,THEORY OF PRODUCTION,AND VARIABLE TRANSPORTATION RATES*

ABSTRACT. The question of what conditions insure independence between location and output decisions is investigated within the context of triangle space. Assuming that transportation rates vary with quantity and distance, it is shown that this independence is insured if the production function generates a linear expansion path and the following are all constant: transportation rate elasticities with respect to distance and quantity, and the price elasticity of demand for inputs.     

A SPATIAL COMPETITION APPROACH TO CENTRAL PLACE THEORY: SOME BASIC PRINCIPLES*

ABSTRACT. This paper investigates the potential offered by the model of spatial competition for the study of central place theory. We consider n firms selling m substitutable or complementary goods to a continuum of consumers evenly distributed along a linear segment. Consumers have the same income and the same utility function which is quadratic in the goods supplied by the firms and linear in the numeraire. The main results are as follows. (1) In any location equilibrium in which all goods are consumed everywhere, each good supplied by a single firm is sold at the market center. In Christaller's terminology, this means that when the exhaustive principle holds in equilibrium, highest-order goods are made available at the center. (2) When all goods (excluding the numéraire) are complements to each other and each good is sold by a single firm, there always exists an equilibrium in which all the firms locate coincidentally. (3) If the stores selling a given good are under the control of a single owner then, in any equilibrium for which the exhaustive principle holds, the stores are located in a way such that the total transport cost (borne by consumers) is minimized.