The Impact of Agglomeration Economies on Estimated Demand Thresholds: An Extension of Wensley and Stabler
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Bibliographic record
Abstract
Central place theory predicts that geographic markets located in rural areas have lower demand thresholds, and, therefore, a higher frequency of business establishments relative to areas that are more proximate to urban centers, other things equal. Wensley and Stabler (1998) confirm this prediction using data on the location and frequency of business activities in rural Saskatchewan. We demonstrate that this relationship may not always hold true depending on the existence and magnitude of agglomeration economies. If average cost differences associated with being located in an urbanized area are sufficiently large, then the relationship between urban proximity and number of establishments may be reversed. We provide evidence of this reversal using 1996 cross‐sectional data on hospital services in Texas.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it