Papers of the Regional Science Association

, Volume 25, Issue 1, pp 108–117 | Cite as

The analysis of spatial diffusion processes

  • Martin J. Beckmann
Spatial Analysis

Conclusion

In this paper, I have tried two things: (1) to develop a formal mathematical description of the innovation diffusion process under the simplest conditions and (2) to do the same for expenditure streams, migration, and price movements considered as spatial diffusion processes. My aim has been to demonstrate similarities and differences among these processes. The theoretical study of diffusion models appears to me to be fruitful as an extension of economic stability analysis to spatial situations and also as an alternative approach to predicting the movement in space of economic phenomena.

Keywords

Stability Analysis Diffusion Process Diffusion Model Mathematical Description Simple Condition 

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References

  1. [1]
    Hägerstrand, Torsten,Innovation Diffusion as a Spatial Process. Chicago: The University of Chicago Press, 1967.Google Scholar
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    Brown, Lawrence A.Diffusion Processes and Location. Regional, Science Research Institute, Philadelphia: Bibliography Series, No. 4, 1968.Google Scholar
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    Feller, William.An, Introduction to Probability Theory and Its Applications. New York: John Wiley & Sons, Inc., 1950.Google Scholar
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    Jost, W.Diffusion in Solids, Liquids and Gases. New York: Academic Press, 1952.Google Scholar
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    Hudson, J. C. “Diffusion in a Central Place System,”Geographical Analysis, I, 1969, pp. 45–58.Google Scholar
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    Lösch, August.The Economics of Location. New York: John Wiley & Sons, Inc., Science Editions, 1967.Google Scholar

Copyright information

© The Regional Science Association 1970

Authors and Affiliations

  • Martin J. Beckmann

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