Transitivity and United States Migration Streams

A Comment

Bibliographic Data

ID4143552
AuthorsPaul B Slater (0000-0003-3690-9964, Anacapa Sciences (United States), corresponding author)
Year1980
Volume12
Issue4
Pages381-384
Publication date1980-04-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueEnvironment and Planning A Economy and Space (JOURNAL)
Journal identifiersISSN: 0308-518X • E-ISSN: 1472-3409
PublisherSAGE Publications Inc (PUBLISHER)
DOI10.1068/a120381
PMID12263183
OpenAlexW1981988809
LanguageEN
Citations received3
References cited7

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 ( fij) 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

Combinatorics · Econometrics · Mathematical economics · Null hypothesis · Randomness · Statistics · STREAMS · Tournament · Transitive relation · Computer Science · Mathematics · Transportation Planning and Optimization · Urban and Freight Transport Logistics · Urban Transport and Accessibility

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