Looking for opportunities – On aggregation in random utility models for migration

Persyn, Damiaan (2021): Looking for opportunities – On aggregation in random utility models for migration.

Abstract

This paper considers a random utility model (RUM) in which migrants view locations as aggregates of large numbers of alternatives from which they can freely choose. The best alternative is more likely to be found in a location where they are many and diverse. This predicted effect of size and dispersion contrasts with models considering regions or countries as atomistic units of choice, or where the outcome obtained within a location is stochastic and more dispersion implies more uncertainty. The coefficient on size equals 1 in an ideally specified RUM model including all relevant control variables and appropriate nesting of locations such that residual correlation between alternatives within locations is small. Only then intuitive spatial properties hold: there is zero predicted net migration between otherwise similar regions of different size, and migration flows scale proportionally when aggregating locations. Imposing proportional scaling also constrains how measures of size corresponding to distinct sets of alternatives (e.g. the number of houses and jobs in a location) should be combined. Lastly, assuming normally distributed returns from individual alternatives within locations, the coefficient on the variance should be close to 0.5 in the suggested framework. The approach is showcased and key predictions are tested in a study of internal migration and urbanisation in Ethiopia.

• Item Type: MPRA Paper
• Language: English
• Keywords: migration, regional economics, spatial modelling, gravity equations, discrete choice
• Subjects: C - Mathematical and Quantitative Methods > C2 - Single Equation Models ; Single Variables > C25 - Discrete Regression and Qualitative Choice Models ; Discrete Regressors ; Proportions ; Probabilities; F - International Economics > F2 - International Factor Movements and International Business; R - Urban, Rural, Regional, Real Estate, and Transportation Economics > R2 - Household Analysis > R23 - Regional Migration ; Regional Labor Markets ; Population ; Neighborhood Characteristics

References

Anas, A. (1983): “Discrete choice theory, information theory and the multinomial logit and gravity models,” Transportation Research Part B: Methodological, 17(1), 13–23.

Anderson, J. E., and E. V. Wincoop (2003): “Gravity with Gravitas: A Solution to the Border Puzzle,” The American Economic Review, 93(1), 23.

Behrens, K., and Y. Murata (2021): “On quantitative spatial economic models,” Journal of Urban Economics, 123, 103348.

Beine, M., S. Bertoli, and J. Fernández-Huertas Moraga (2016): “A Practitioners’ Guide to Gravity Models of International Migration,” The World Economy, 39(4), 496–512.

Beine, M., M. Bierlaire, and F. Docqier (2021): “New York, Abu Dhabi, London or Stay at Home? Using a Cross-Nested Logit Model to Identify Complex Substitution Patterns in Migration,” IZA Discussion Paper, 14090.

Beine, M., P. Bourgeon, and J. Bricongne (2019): “Aggregate Fluctuations and International Migration,” The Scandinavian Journal of Economics, 121(1), 117–152.

Berry, S. T. (1994): “Estimating Discrete-Choice Models of Product Differentiation,” The RAND Journal of Economics, 25(2), 242–262.

Bertoli, S., and J. Fernández-Huertas Moraga (2013): “Multilateral resistance to migration,” Journal of Development Economics, 102, 79–100.

Bertoli, S., J. F.-H. Moraga, and L. Guichard (2020): “Rational inattention and migration decisions,” Journal of International Economics, 126, 103364.

Bierlaire, M. (2020): “A short introduction to PandasBiogeme,” in Technical report TRANSP-OR 200605. Transport and Mobility Laboratory, ENAC, EPFL.

Borjas, G. J. (1987): “Self-Selection and the Earnings of Immigrants,” The American Economic Review, 77(4), 531–553.

Bundervoet, T. (2018): “Internal Migration in Ethiopia, Evidence from a Quantitative and Qualitative Research Study,” World Bank, Washington, DC.

Cardell, N. S. (1997): “Variance Components Structures for the Extreme-Value and Logistic Distributions with Application to Models of Heterogeneity,” Econometric Theory, 13(2), 185–213.

Daly, A. (1982): “Estimating choice models containing attraction variables,” Transportation Research Part B: Methodological, 16(1), 5–15.

Davies, R. B., and C. M. Guy (1987): “The Statistical Modeling of Flow Data When the Poisson Assumption Is Violated,” Geographical Analysis, 19(4), 300–314.

Fally, T. (2015): “Structural gravity and fixed effects,” Journal of International Economics, 97(1), 76–85.

Ferguson, M. R., and P. S. Kanaroglou (1997): “An empirical evaluation of the aggregated spatial choice model,” International regional science review, 20(1-2), 53–75.

Fotheringham, A. S., and P. A. Williams (1983): “Further Discussion on the Poisson Interaction Model,” Geographical Analysis, 15(4), 343–347.

Griffith, D. A., and M. M. Fischer (2013): “Constrained variants of the gravity model and spatial dependence: model specification and estimation issues,” Journal of Geographical Systems, 15(3), 291–317.

Grogger, J., and G. H. Hanson (2011): “Income maximization and the selection and sorting of international migrants,” Journal of Development Economics, 95(1), 42–57

Harris, J. R., and M. P. Todaro (1970): “Migration, unemployment and development: a two-sector analysis,” The American economic review, pp. 126–142.

Kanaroglou, P. S., and M. R. Ferguson (1996): “Discrete Spatial Choice Models for Aggregate Destinations,” Journal of Regional Science, 36(2), 271–290.

Katz, E., and O. Stark (1986): “Labor migration and risk aversion in less developed countries,” Journal of labor Economics, 4(1), 134–149.

Kline, P., and E. Moretti (2014): “People, Places, and Public Policy: Some Simple Welfare Economics of Local Economic Development Programs,” Annual Review of Economics, 6(1), 629–662.

Lerman, S. R. (1975): “A disaggregate behavioral model of urban mobility decisions.,” Ph.D. thesis, Massachusetts Institute of Technology.

McFadden, D. (1974): “The measurement of urban travel demand,” Journal of Public Economics, 3(4), 303–328. (1977): “Modelling the Choice of Residential Location,” Cowles Foundation Discussion Papers, 477.

Ortega, F., and G. Peri (2013): “The Role of Income and Immigration Policies in Attracting International Migrants,” Migration Studies, 1(1), 47–74.

Persyn, D., and W. Torfs (2016): “A gravity equation for commuting with an application to estimating regional border effects in Belgium,” Journal of Economic Geography, 16(1), 155–175.

Train, K. (2002): Discrete Choice Methods with Simulation. Cambridge University Press.

Wilson, A. (1967): “A statistical theory of spatial distribution models,” Transportation Research, 1(3), 253–269.

Wilson, A. (1970): Entropy in urban and regional modelling. London: Pion.

Wilson, A. (1971): “A family of spatial interaction models, and associated developments,” Environment and Planning, 3, 32.

Xing, C., and J. Zhang (2017): “The preference for larger cities in China: Evidence from rural-urban migrants,” China Economic Review, 43, 72–90.