Transitivity and United States Migration Streams: A Comment

P B Slater
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P B Slater: HDR Sciences, 804 Anacapa, Santa Barbara, California 93101, USA

Environment and Planning A, 1980, vol. 12, issue 4, 381-384

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.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:sae:envira:v:12:y:1980:i:4:p:381-384

DOI: 10.1068/a120381

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