Transitivity, Spatially Separable Utility Functions, and United States Migration Streams, 1935-1970
Bibliographic Data
| ID | 4139795 |
|---|---|
| Authors | Terence R Smith (0000-0001-9593-5420, University of California, Santa Barbara), Christopher Clayton (0000-0002-0900-0686, University of California, Santa Barbara) |
| Year | 1978 |
| Volume | 10 |
| Issue | 4 |
| Pages | 399-414 |
| Publication date | 1978-04-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Environment and Planning A Economy and Space (JOURNAL) |
| Journal identifiers | ISSN: 0308-518X • E-ISSN: 1472-3409 |
| Publisher | SAGE Publications Inc (PUBLISHER) |
| DOI | 10.1068/a100399 |
| PMID | 12310584 |
| OpenAlex | W2034624490 |
| Language | EN |
| Citations received | 10 |
| References cited | 8 |
The predictions of spatial-interaction models applied to migration systems may be viewed as the outcome of expected-utility maximization in which the average beliefs and preferences at a given origin are spatially separable. This theory indicates that a test of the spatial separability of the utilities may be performed by examining the degree of transitivity in probabilities and gross flows that is predicted by the spatial-interaction models. United States migration data for four periods between 1935 and 1970 were examined for transitivity at three spatial scales of resolution. These flows all exhibited significantly high degrees of transitivity, although for no period or scale of resolution were migration flows completely without some statistically significant intransitivities in either the probabilities or gross flows. The regions involved in intransitivities varied greatly from period to period, and only weak evidence indicated lower degrees of intransitivity for local aggregates of regions. The hypothesis of spatially separable utilities must be rejected for the migration data examined. Theoretical discussion indicates that several causes may lead to intransitivities, which in turn lead to problems in applying spatial-interaction models to migration data
Cartography · Combinatorics · Econometrics · Geography · Mathematical analysis · Mathematical economics · Mathematical optimization · Maximization · Physics · Separable space · Spatial ecology · Transitive relation · Mathematics · Regional Economics and Spatial Analysis · Spatial and Panel Data Analysis · Urban, Neighborhood, and Segregation Studies · Ecology
Theories of Migration
The Spatial Structure of Migration
Theories of Migration
Modelling Interprovincial Migration Using Entropy‐maximizing Methods
Least Squares Calibration of the Gravity Model When Intrazonal Flows are Unknown
Intransitivity, the Spatial Interaction Model, and US Migration Streams
Transitivity and United States Migration Streams
Point-to-Point Migration Functions and Gravity Model Renormalization
The Wax and Wane of Interstate Migration Patterns in the USA in the 1980s
The Quasi-Symmetric Side of Gravity Modelling
Behavioral aspects of the decision to migrate
The Economics of Uncertainty
Interpreting the Effect of Distance on Migration
Migration and Regional Development in the United States
An Empirical Study of Some Spatial Interaction Models
Migration and the Dynamics of Multiregional Population Systems
A Family of Spatial Interaction Models, and Associated Developments
| Unique citing works | 10 |
|---|---|
| Citations per year | 0,22 |
| Citation span | 1980 - 2013 (34) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 10 |