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Intransitivity, the spatial interaction model, and U.S. migration streams
Summary
Spatial interaction models predict transitive flows, but US migration data shows intransitivities. This study explores conditions causing these deviations in migration patterns.
Area of Science:
- Spatial analysis
- Human geography
- Econometrics
Background:
- Spatial interaction models commonly predict transitive flows.
- US interstate migration data exhibits significant intransitivities.
- Understanding these deviations is crucial for accurate migration modeling.
Purpose of the Study:
- Investigate conditions leading to intransitive flows in spatial interaction models.
- Analyze factors causing observed intransitivities in US migration data.
- Calibrate and compare spatial interaction models with empirical migration data.
Main Methods:
- Calibration of a singly constrained gravity model.
- Distortion of flow tables by sampling error.
- Aggregation over strata and introduction of independent error terms.
Main Results:
- Demonstration of how sampling error and aggregation can induce intransitivities.
- Calibration results for US interstate migration flows (1935-1970).
- Comparison of calibrated model results with existing literature.
Conclusions:
- Sampling error and aggregation are significant contributors to observed intransitivities.
- Spatial interaction models require adjustments to accurately reflect real-world migration patterns.
- Further research needed to refine models for complex migration dynamics.