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Transitivity and United States Migration Streams: A Comment

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  • P B Slater

    (HDR Sciences, 804 Anacapa, Santa Barbara, California 93101, USA)

Abstract

The conclusion of Smith and Clayton (1978) that United States migration streams contain ‘significant’ numbers of intransitivities—thus undermining the applicability to migration of spatial-interaction models—is contraindicated. Fewer intransitivities than could be expected under a null hypothesis of randomness are found in the solution of a linear assignment problem. The solution consists of a single entry from each row and column of a generalized tournament model of 1965–1970 interstate migration. Three cycles are formed by the entries. Three is less than 4–519, the amount expected in a random assignment. Under the constraint that the entries ( f ij ) selected are greater than 0·5, indicative that more people move from i to j than from j to i , five intransitivities—still an insignificant number—are found. However, a highly significant number, fourteen, of intransitivities are found if the migration flows themselves—not a generalized tournament model of them—are studied.

Suggested Citation

  • P B Slater, 1980. "Transitivity and United States Migration Streams: A Comment," Environment and Planning A, , vol. 12(4), pages 381-384, April.
    • Handle: RePEc:sae:envira:v:12:y:1980:i:4:p:381-384
    DOI: 10.1068/a120381
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