Critique of probabilistic models: Application of the Semi‐Markov model to migration

References

• Anderson , T. W. and Goodman , L. 1957 . Statistical inference about Markov chains . Annals of Mathematical Statistics , 28 : 89 – 110 .
   Google Scholar
• Balestra , P. and Nerlove , M. 1966 . Pooling cross‐section and time series data in the estimation of a dynamic model: the demand for natural gas . Econometrica , 34 : 585 – 612 .
   Web of Science ®Google Scholar
• Bartholomew , D. 1967 . Stochastic models for social processes , New York : Wiley .
   Google Scholar
• Berger , J. , Cohen , B. , Snell , L. and Zeiditch , M. 1955 . Types of formalization in small group research , Boston : Houghton‐Mifflin .
   Google Scholar
• Berger , J. and Snell , J. L. 1957 . On the concept of equal exchange . Behavioral Science , 2 : 111 – 8 .
   Google Scholar
• Billingsley , P. 1961 . Statistical inference for Markov processes , Chicago : University of Chicago Press .
   Google Scholar
• Blau , P. and Duncan , O. D. 1967 . The American occupational structure , New York : Wiley .
   Google Scholar
• Blumen , I. , Kogan , M. and McCarthy , P. 1955 . Industrial mobility of labor as a probability process , Ithaca : Cornell University Press .
   Google Scholar
• Bush , R. R. and Mosteller , F. 1955 . Stochastic models for learning , New York : Wiley .
   Google Scholar
• Butler , E. W. 1969 . Moving behavior and residential choice , National Cooperative Highway Research Program, Report No. 81 Washington : National Academy of Science—National Research Council .
   Google Scholar
• Coleman , J. 1964 . Introduction to mathematical sociology , New York : Free Press .
   Google Scholar
• Forrester , J. 1969 . Urban dynamics , Cambridge : MIT Press .
   Google Scholar
• Ginsberg , R. B. 1971 . Semi‐Markov processes and mobility . Journal of Mathematical Sociology , 1 : 233 – 262 .
   Web of Science ®Google Scholar
• Glejser , H. and Dramais , A. 1969 . A gravity model of interdependent equations to estimate flow creation and diversion . Journal of Regional Science , 9 : 439 – 449 .
   Web of Science ®Google Scholar
• Hagerstrand , T. 1957 . “ Migration and area: survey of a sample of Swedish migration fields and hypothetical considerations on their genesis ” . In Migration in Sweden , Lund Studies in Geography, B., No. 13 Edited by: Hannerberg , D. , Hagerstrand , T. and Odeving , B.
   Google Scholar
• Hamilton , H. R. 1969 . Systems simulation for regional analysis: an application to river‐basin planning , Cambridge, Mass : MIT Press .
   Google Scholar
• Harris , J. R. and Todaro , M. P. 1970 . Migration, unemployment and development: a two‐sector analysis . American Economic Review , 60 : 126 – 142 .
   Web of Science ®Google Scholar
• Howard , R. 1960 . Dynamic programming and Markov processes , Cambridge : MIT Press .
   Google Scholar
• Howard , R. 1963 . Semi‐Markovian decision processes . Bulletin of the Institute of International Statistics , 40 : 625 – 652 .
   Google Scholar
• Jewell , W. S. 1963 . Markov‐renewal programming. I: Formulation, finite return models. II: Infinite return models, example . Operations Research , 2 : 938 – 971 .
   Web of Science ®Google Scholar
• Isard , W. 1960 . Methods of regional analysis: an introduction to regional science , New York : Wiley .
   Google Scholar
• Kelley , A. C. and Weiss , L. W. 1969 . Markov processes and economic analysis: the case of migration . Econometrica , 37 : 280 – 297 .
   Google Scholar
• Kemeny , J. and Snell , J. L. 1960 . Finite Markov chains , Princeton : Van Nostrand .
   Google Scholar
• Lee , T. C. , Judge , G. G. and Zellner , A. 1970 . Estimating the parameters of the Markov probability model from aggregate time series data , Amsterdam and London : North Holland .
   Google Scholar
• Lovgren , E. 1956 . The geographic mobility of labor . Geografiska Annaller , 38 : 344 – 394 .
   Google Scholar
• Lowry , I. S. 1966 . Migration and metropolitan growth: two analytic models , San Francisco : Chandler .
   Google Scholar
• Luce , R. D. 1959 . Individual choice behavior , New York : Wiley .
   Google Scholar
• Luce , R. D. 1963 . “ Detection and recognition ” . In Handbook of mathematical psychology , Edited by: Luce , R. D. , Bush , R. R. and Galanter , E. Vol. 1 , New York : Wiley .
   Google Scholar
• Martin , J. J. 1967 . Bayesian decision problems and Markov chains , New York : Wiley .
   Google Scholar
• Masser , I. 1970 . A test of some models for predicting intermetropolitan movement of population in England and Wales , Working Paper No. 9 London : Centre for Environmental Studies .
   Google Scholar
• Moore , E. H. and Pyke , R. 1968 . Estimation of the transition distributions of a Markov Renewal process . Annals of the Institute of Statistical Mathematics , 20 : 411 – 428 .
   Web of Science ®Google Scholar
• Morrison , P. A. 1968 . Alternative models of population mobility . Paper presented at the Cornell Conference on Human Mobility . 1968 , Ithaca.
   Google Scholar
• Muth, R. Migration: chicken or egg, unpublished ms.
   Google Scholar
• Nerlove , M. 1966 . Note on a variance‐components model useful in the study of cross‐sections over time , Cowles Foundation Discussion Paper No. 271
   Google Scholar
• Okun , B. 1968 . Interstate population migration and state income inequality: a simultaneous equation approach . Economic Development and Cultural Change , 16 : 297 – 313 .
   Web of Science ®Google Scholar
• Olsson , G. 1964 . Distance and human interaction: a review and bibliography , Philadelphia : Regional Science Research Institute .
   Google Scholar
• Olsson , G. 1965 . Distance and human interaction: a migration study . Geografiska Annaller , 47 : 3 – 43 . Series B,
   Google Scholar
• Rogers , A. December 1965 . An analysis of interregional migration in California , December , Berkeley : Center for Planning and Development, Institute of Urban and Regional Development, University of California .
   Google Scholar
• Rogers , A. 1966 . A Markovian policy model of interregional migration . Papers of the Regional Science Association , 17 : 205 – 224 .
   Google Scholar
• Rogers , A. 1968 . Matrix analysis of interregional population growth and distribution , Berkeley : University of California Press .
   Google Scholar
• Rossi , P. 1955 . Why families move , Glencoe, Illinois : Free Press .
   Google Scholar
• Sjaastad , L. 1960 . The relationship between migration and income in the United States . Papers and Proceedings of the Regional Science Association , 6 : 37 – 64 .
   Google Scholar
• Taeuber , K. 1961 . Duration‐of‐residence analysis of internal migration in the United States . Milbank Memorial Fund Quarterly , 39 : 116 – 131 .
   Google Scholar
• Telser , L. G. 1962 . The demand for branded goods as estimated from consumer panel data . Review of Economics and Statistics , 44 : 300 – 324 .
   Web of Science ®Google Scholar
• Todaro , M. P. 1969 . A model of labor, migration and urban unemployment in less developed countries . American Economic Review , 59 : 138 – 148 .
   Web of Science ®Google Scholar
• Wendel , J. B. 1953 . A migration schema . Lund Studies in Geography , B ( 9 )
   Google Scholar
• Williams , O. 1971 . Metropolitan political analysis , New York : Free Press .
   Google Scholar
• Wolpert , J. 1965 . Behavioral aspects of the decision to migrate . Papers and Proceedings of the Regional Science Association , 15 : 159 – 169 .
   Google Scholar