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Spatial Patterns and Processes in a Longitudinal Framework

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  • Brigitte Waldorf

Abstract

This article explores the conceptual equivalence between hazard models applied to both temporal data and distance data by focusing on the `at-risk' concept, which is central to longitudinal models but has not received sufficient attention in the application of hazard models in spatial settings. A proper conceptualization in a spatial (distance) setting is based on distant-dependent Markovian transition probabilities describing the risk of switching between states. Such a conceptualization is possible for continuous spatial processes, as well as for point-generating processes leading to spatial point patterns. Hazard models for a series of scenarios simulating various point generation trajectories are compared. This process-oriented perspective is further augmented by explicitly accounting for temporal dimensions (speed) of point-generating processes.

Suggested Citation

  • Brigitte Waldorf, 2003. "Spatial Patterns and Processes in a Longitudinal Framework," International Regional Science Review, , vol. 26(3), pages 269-288, July.
    • Handle: RePEc:sae:inrsre:v:26:y:2003:i:3:p:269-288
    DOI: 10.1177/0160017603253788
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    Cited by:

    1. Randall S. Rosenberger & Mark Sperow & Donald B. K. English, 2008. "Economies in Transition and Public Land-Use Policy: Discrete Duration Models of Eastern Wilderness Designation," Land Economics, University of Wisconsin Press, vol. 84(2), pages 267-281.
    2. McClain, Verena & Waldorf, Brigitte, 2017. "Borrowing From The Demographer's Toolbox: Longitudinal Methods in Regional Science," Working papers 264970, Purdue University, Department of Agricultural Economics.
    3. Verena McClain & Brigitte S. Waldorf, 2021. "Longitudinal methods in regional science: a review," Journal of Geographical Systems, Springer, vol. 23(2), pages 145-160, April.
    4. Raymond J. G. M. Florax & Arno J. Van der Vlist, 2003. "Spatial Econometric Data Analysis: Moving Beyond Traditional Models," International Regional Science Review, , vol. 26(3), pages 223-243, July.

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