A Network Approach to Population Modeling

  • Edwin R. Lewis
Part of the Biomathematics book series (BIOMATHEMATICS, volume 7)

Abstract

Now we have the basic equipment with which to construct network models of a very wide variety of populations of organisms on the basis of their life cycles. Even when these life cycles are relatively simple, it very often is quite difficult without networks to keep track of the conservation and constitutive relationships implied in them and to develop appropriate state equations. As we soon shall see, not all life cycles are amenable to network modeling; but for those that are, the network models provide a simple, heuristic mechanism by which constitutive and conservation relationships can be represented. Furthermore, the rather well-developed analytical techniques for networks provide straightforward algorithms by which the networks themselves can be converted directly into state equations. When the state equations themselves promise to be too complex for useful, general solution, the network provides a ready-made flow chart for the construction of a digital-computer program for simulation of the population. If an analog computer with time delays or a digitally simulated analog computer is available, the network is more than a flow chart, it is essentially the program itself. Every key parameter and variable is conspicuously apparent and accessible in the network model. Therefore, modifications usually are extremely easy to make; and this in turn greatly facilitates the construction of the model itself.

Keywords

Migration Lactate Covariance Expense Convolution 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1977

Authors and Affiliations

  • Edwin R. Lewis
    • 1
  1. 1.College of EngineeringUniversity of CaliforniaBerkeleyUSA

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