Modeling network autocorrelation within migration flows by eigenvector spatial filtering

Journal of Geographical Systems

Volumn 10, Issue 4, 2008, Pages 317-344

  Chun, Yongwan ^a  

^a UNIVERSITY OF TEXAS AT DALLAS   (United States)

Author keywords

Eigenvector; Migration; Network autocorrelation; Spatial filtering; Spatial interaction

Indexed keywords

AUTOCORRELATION; EIGENVALUE; MATRIX; MIGRATION; NUMERICAL MODEL; POISSON RATIO; VECTOR; VECTOR AUTOREGRESSION;

NORTH AMERICA; UNITED STATES;

EID: 57049168201     PISSN: 14355930     EISSN: 14355949     Source Type: Journal    
DOI: 10.1007/s10109-008-0068-2     Document Type: Article

References (75)

1. Almeida LMW, Goncalves MB (2001) A methodology to incorporate behavioral aspects in trip-distribution models with an application to estimate student flow. Environ Plan A 33(6):1125-1138
2. Anselin L, Griffith DA (1988) Do spatial effects really matter in regression analysis? Papers Reg Sci Assoc 65:11-34
3. Assuncao RM, Reis EA (1999) A new proposal to adjust Moran's I for population density. Stat Med 18:2147-2162
4. Baxter M (1983) Estimation and inference in spatial interaction models. Progr Hum Geogr 7:40-59
5. Berglund S, Karlstrom A (1999) Identifying local spatial association in flow data. J Geogr Syst 1(3):219-236
6. Black WR (1992) Network autocorrelation in transport network and flow systems. Geogr Anal 24(3):207-222
7. Bolduc D, Dagenais MG, Gaudry MJI (1989) Spatially autocorrelated errors in origin-destination models: A new specification applied to aggregate mode choice. Transp Res Part B 23(5):361-372
8. Boots BN, Kanaroglou PS (1988) Incorporating the effects of spatial structure in discrete choice models of migration. J Reg Sci 28(4):495-509
9. Cadwallader MT (1992) Migration and residential mobility: Macro and micro approaches. University of Wisconsin Press, Madison
10. Congdon P (1992) Aspects of general linear modelling of migration. Statistician 41:133-153
11. Congdon P (1993) Approaches to modelling overdispersion in the analysis of migration. Environ Plan A 25(10):1481-1510
12. Congdon P (2002a) A Bayesian approach to prediction using the gravity model with an application to patient flow modeling. Geogr Anal 32(3):205-224
13. Congdon P (2002b) A model for mental health needs and resourcing small geographic areas: A multivariate spatial perspective. Geogr Anal 34(2):169-186
14. Cressie N, Chan HH (1989) Spatial modeling of regional variables. J Am Stat Assoc 84(405):393-401
15. Cushing BJ (1987) Location-specific amenities, topography, and population migration. Ann Reg Sci 21:74-85
16. Davies PS, Greenwood MJ, Li H (2001) A conditional logit approach to U.S. state-to-state migration. J Reg Sci 41(2):337-360
17. de Jong P, Sprenger C, van Veen F (1984) On extreme values of Moran's I and Geary's C. Geogr Anal 16(1):17-24
18. Fik TJ, Amey RG, Mulligan GF (1992) Labor migration amongst hierarchically competing and intervening origins and destinations. Environ Plan A 24:1271-1290
19. Fischer MM, Griffith DA (2008) Modeling spatial autocorrelation in spatial interaction data: An application to patent citation data in the European Union. J Reg Sci (forthcoming)
20. Flowerdew R (1991) Poisson regression modelling of migration. In: Stillwell J, Congdon P (eds) Migration models: Macro and micro approaches. Belhaven, New York, pp 92-112
21. Flowerdew R, Aitkin M (1982) A method of fitting the gravity model based on the Poisson distribution. J Reg Sci 22(2):191-202
22. Flowerdew R, Lovett A (1988) Fitting constrained Poisson regression models to inter-urban migration. Geogr Anal 20(4):297-307
23. Fotheringham AS (1983) A new set of spatial-interaction models: The theory of competing destinations. Environ Plan A 15(1):15-36
24. Fotheringham AS (1986) Modelling hierarchical destination choice. Environ Plan A 18(3):401-418
25. Fotheringham AS (1991) Migration and spatial structure: The development of the competing destination model. In: Stillwell J, Congdon P (eds) Migration models: Macro and micro approaches. Belhaven, New York, pp 57-72
26. Fotheringham AS, O'Kelly ME (1989) Spatial interaction models: formulations and applications. Kluwer Academic Publishers, Dordrecht
27. Galle OR, Taeuber KE (1966) Metropolitan migration and intervening opportunities. Am Sociol Rev 31(1):5-13
28. Getis A (1990) Screening for spatial dependence in regression analysis. Papers Reg Sci Assoc 69:69-81
29. Getis A (1995) Spatial filtering in a regression framework: Examples using data on urban crime, regional inequality, and government expenditures. In: Anselin L, Florax RJGM (eds) New directions in spatial econometrics. Springer, Berlin, pp 172-188
30. Getis A, Griffith DA (2002) Comparative spatial filtering in regression analysis. Geogr Anal 34(2):130-140
31. Gleave D, Cordey-Hayes M (1977) Migration dynamics and labor market turnover. Prog Plan 8(1):1-95
32. Greenwood MJ (1985) Human migration: Theory, models, and empirical studies. J Reg Sci 25(4):521-544
33. Griffith DA (1996) Spatial autocorrelation and eigenfunctions of the geographic weights matrix accompanying geo-reference data. Can Geogr 40(4):351-367
34. Griffith DA (2000) A linear regression solution to the spatial autocorrelation problem. J Geogr Syst 2(2):141-156
35. Griffith DA (2002) A spatial filtering specification of the auto-Poisson model. Stat Probab Lett 58(3):245-251
36. Griffith DA (2003) Spatial autocorrelation and spatial filtering: gaining understanding through theory and scientific visualization. Springer, Berlin
37. Griffith DA (2004) A spatial filtering specification for the autologistic model. Environ Plan A 36(10):1791-1811
38. Griffith DA (2006) Hidden negative spatial autocorrelation. J Geogr Syst 8(4):335-355
39. Griffith DA (2007) Spatial structure and spatial interaction: 25 years later. Rev Reg Stud 37(1):28-38
40. Guldmann JM (1999) Competing destinations and intervening opportunities interaction models of inter-city telecommunication. Papers Reg Sci 78(2):179-194
41. Haining R (1991) Bivariate correlation and spatial data. Geogr Anal 23(3):210-227
42. Haining R (2003) Spatial data analysis: Theory and practice. Cambridge University Press, Cambridge
43. Hanson GH (1998) North American economic integration and industry location. Oxford Rev Econ Policy 14:30-44
44. Harary F (1999) Graph theory. Perseus Books, Reading, MA
45. Homes JH, Haggett P (1977) Graph theory interpretation of flow matrices: a note on maximization procedures for identifying significant links. Geogr Anal 9(4):388-399
46. Jacqmin-Gadda H, Commenges D, Nejjari C, Dartigues JF (1997) Tests of geographical correlation with adjustment for explanatory variables: An application to Dyspnoea in the elderly. Stat Med 16(11):1283-1297
47. Jayet H (1990) Spatial search processes and spatial interaction. 1. Sequential search, intervening opportunities, and spatial search equilibrium. Environ Plan A 22(5):583-599
48. Law J, Haining R (2004) Bayesian approach to modeling binary data: The case of high-intensity crime analysis. Geogr Anal 36(3):197-216
49. Liao PS (2001) Contextual analysis of rural migration intention: A comparison of Taiwanese and Pennsylvania data. Int J Comp Sociol 42(5):435-460
50. Lin G, Zhang T (2007) Loglinear residual tests of Moran's I autocorrelation and their applications to Kentucky breast cancer data. Geogr Anal 39(3):293-310
51. Myers RH, Montgomery DC, Vining GG (2002) Generalized linear models with applications in engineering and the sciences. Wiley, New York
52. Mulder CH, Hooimeijer P (1999) Residential relocations in the life course. In: Van Wissen LJG, Dykstra PA (eds) PApulation issues: an interdisciplinary focus. Kluwer Academic Press, New York, pp 159-186
53. Nelder JA, Wedderburn RWM (1972) Generalized linear models. J R Stat Soc Ser A 35(3):370-384
54. Newbold KB (2005) Spatial scale, return and onward migration, and the Long-Boertlein index of repeat migration. Papers Reg Sci 84(2):281-290
55. Oden N (1995) Adjusting Moran's I for population density. Stat Med 14(1):17-26
56. Plane DA (1984) Migration space: Doubly constrained gravity model mapping of relative interstate separation. Ann Assoc Am Geogr 74(2):244-245
57. Prentice RL, Zhao LP (1991) Estimating equations for parameters in means and covariances of multivariate discrete and continuous responses. Biometrics 47(3):825-839
58. Ruiter ER (1967) Toward a better understanding of the intervening opportunities model. Transp Res 1:47-56
59. Shaw RP (1985) Intermetropolitan migration in Canada: Changing determinants over three decades. NC Press, Toronto
60. Schabenberger O, Gotway CA (2005) Statistical methods for spatial data analysis. Chapman & Hall/CRC, Boca Raton
61. Schwartz A (1973) Interpreting the effects of distance on migration. J Polit Econ 81(5):1153-1169
62. Shvetsov VI, Dubov YA (1997) Expected distributions in the intervening opportunities model. Environ Plan A 29(7):1229-1241
63. Stouffer SA (1940) Intervening opportunities: A theory relating mobility and distance. Am Sociol Rev 5(6):845-867
64. Stouffer SA (1960) Intervening opportunities and competing migrants. J Reg Sci 2(1):1-26
65. Tiefelsdorf M (2000) Modelling spatial processes: The identification and analysis of spatial relationships in regression residuals by means of Moran's I. Springer, Berlin
66. Tiefelsdorf M (2003) Misspecifications in interaction model distance decay relations: A spatial structure effect. J Geogr Syst 5(1):25-50
67. Tiefelsdorf M, Boots BN (1995a) The exact distribution of Moran's I. Environ Plan A 27(6):985-999
68. Tiefelsdorf M, Boots BN (1995b) The specification of constrained interaction models using the SPSS Loglinear procedure. Geogr Syst 2(1):21-38
69. Tiefelsdorf M, Griffith DA (2007) Semiparametric filtering of spatial autocorrelation: The eigenvector approach. Environ Plan A 39(5):1193-1221
70. Tiefelsdorf M, Griffith DA, Boots BN (1999) A variance-stabilizing coding scheme for spatial link matrices. Environ Plan A 31(1):165-180
71. US Department of Commerce (2002) National Oceanic and Atmospheric Administration, Environmental Data and Information Service. State, regional, and national monthly temperature (weighted by area), 1971-2000 (and previous normals periods). National Climatic Data Center, Asheville
72. Wakefield JC (2003) Sensitivity analyses for ecological regression. Biometrics 59(1):9-17
73. Wakefield JC, Best NG, Waller LA (2000) Bayesian approaches to disease mapping. In: Elliott P, Wakefield J, Best NG, Briggs DJ (eds) Spatial epidemiology: Method and application. Oxford University Press, Oxford, pp 104-127
74. Waldhör T (1996) The spatial autocorrelation coefficient Moran's I under heteroscedasticity. Stat Med 15(7-9):887-892
75. Wilson AG (1970) Entropy in urban and regional modelling. Pion Limited, London