Reconsidering Zipf’s law for regional development: The case of settlements and cities in Croatia
und | 30. März 2018
Über diesen Artikel
Online veröffentlicht: 30. März 2018
Seitenbereich: 22 - 30
Eingereicht: 20. Okt. 2017
Akzeptiert: 12. Feb. 2018
DOI: https://doi.org/10.2478/mgrsd-2018-0002
Schlüsselwörter
© 2018 University of Warsaw – Faculty of Geography and Regional Studies, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
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OLS for testing Zipf’s law as applied to the city proper and urban agglomeration in Croatia
| Dependent variable Ln (Rank) | Independent variable | |
|---|---|---|
| Method: Least Squares | Ln (City proper) | Ln (Urban agglomeration) |
| Constant | 10.3162 | 12.7571 |
| (0.1572) | (0.1876) | |
| Pareto coefficient | -0.7397 significant at a level of 1 percent | -0.9501 significant at a level of 1 percent |
| (0.0178) | (0.0199) | |
| Adjusted R-squared | 0.9314 | 0.9473 |
| S.E. of regression | 0.2456 | 0.2153 |
| Prob. (F-statistic) | 0.0000 | 0.0000 |
| Mean dependent variable | 3.8705 | 3.8705 |
| S.D. dependent variable | 0.9383 | 0.9383 |
| Akaike info criterion | 0.0460 | -0.2174 |
| Durbin Watson stat | 0.0525 | 0.1347 |
| Observations | 127 | 127 |
Croatian settlement structure and population
| Settlement size | Number of settlements | Population | Share of | |
|---|---|---|---|---|
| Settlement | Population | |||
| No population | 150 | 0 | 2.22% | 0% |
| Up to 100 people | 2,653 | 113,914 | 39.27% | 2.66% |
| 101–200 | 1,318 | 192,193 | 19.51% | 4.49% |
| 201–500 | 1,448 | 461,114 | 21.43% | 10.76% |
| 501–1 000 | 658 | 462,788 | 9.74% | 10.80% |
| 1,001–1,500 | 195 | 240,133 | 2.89% | 5.60% |
| 1,501–2,000 | 113 | 194,258 | 1.67% | 4.53% |
| 2,001–5,000 | 143 | 434,201 | 2.12% | 10.13% |
| 5,001–10,000 | 39 | 264,060 | 0.58% | 6.16% |
| 10,001–20,000 | 20 | 274,938 | 0.30% | 6.42% |
| 20,001–50,000 | 11 | 342,971 | 0.16% | 8.00% |
| 50,001–100,000 | 5 | 320,651 | 0.07% | 7.48% |
| 100,001–200,000 | 2 | 295,505 | 0.03% | 6.90% |
| 200,001 or more | 1 | 688,163 | 0.01% | 16.06% |
OLS for testing Zipf’s law as applied to settlements in Croatia
| Dependent variable Ln(Rank) | ndependent variable | ||||
|---|---|---|---|---|---|
| Method: Least Squares | Ln (Size>=1) | Ln (Size >100) | Ln (Size >500) | Ln (Size >1000) | Ln (Size >2000) |
| Constant | 10.5069 | 13.1298 | 14.1597 | 13.8333 | 13.1519 |
| (0.0181) | (0.0118) | (0.0148) | (0.0299) | (0.0411) | |
| Pareto coefficient | -0.5561 significant at a level of 1 percent | -0.9941 significant at a level of 1 percent | -1.1401 significant at a level of 1 percent | -1.1013 significant at a level of 1 percent | -1.0263 significant at a level of 1 percent |
| (0.0035) | (0.0019) | (0.0021) | (0.0038) | (0.0048) | |
| R-squared | 0.7887 | 0.9843 | 0.9961 | 0.9936 | 0.9952 |
| S.E. of regression | 0.4567 | 0.1243 | 0.0619 | 0.0778 | 0.0664 |
| Prob. (F-statistic) | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| Mean dependent variable | 7.7931 | 7.2833 | 6.0829 | 5.2786 | 4.4145 |
| S.D. dependent variable | 0.9935 | 0.9947 | 0.9872 | 0.976896 | 0.9574 |
| Akaike info criterion | 1.2707 | -1.3315 | -2.7252 | -2.2640 | -2.5774 |
| Durbin Watson stat | 0.0003 | 0.0109 | 0.2293 | 0.2906 | 0.7605 |
| Observations | 6606 | 3953 | 1187 | 529 | 221 |