A four-variable world system

  • Floyd J. Gould
Human Environments (Energy, World Models)
Part of the Lecture Notes in Computer Science book series (LNCS, volume 40)


This is a model to study aspects of the short and long-range growth and balance between four world quantities: food, energy, fertilizer, and population. The model may be used as a tool to study implications of various policies for coordinated world planning. The model operates as follows: The world is subdivided into a number of regions. Consider time period t. In each region two factors, investments and population, are used to determine supplies of fertilizer, energy, arable acreage, and workforce availability. The regional investment stream is an exogenous input to the system. In each region, demand functions are specified for foods, fertilizer, energy for agriculture, energy for other uses, acreage, and labor. These demands are functions of all prices, population, and income in period t − 1. A spatial equilibrium model links all regions and determines equilibrium imports, exports, and prices for each region. This gives, for each region, the income in period t, and specific consumption of fertilizer, energy for agriculture, acreage, and workforce. Based on this consumption, and taking account of weather, regional agricultural outputs are determined. This provides an exogenous food supply for the spatial equilibrium model in year t + 1. The supplies in t + 1 of fertilizer, energy, acreage and labor are determined, as functions of population and the investment stream, and the procedure is repeated.


Weather Pattern Supply Function Exogenous Input General Saddle Point Operating Expenditure 
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Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • Floyd J. Gould
    • 1
  1. 1.University of ChicagoChicagoUSA

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