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Linear Spatial Dependence Models for Cross-Section Data

In: Spatial Econometrics

Author

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  • J. Paul Elhorst

    (University of Groningen)

Abstract

This chapter gives an overview of all linear spatial econometric models with different combinations of interaction effects that can be considered, as well as the relationships between them. It also provides a detailed overview of the direct and indirect effects estimates that can be derived from these models. In addition, it critically discusses the stationarity conditions that need to be imposed on the spatial interaction parameters and the spatial weights matrix, as well as the row-normalization procedure of the spatial weights matrix. The well-known cross-sectional dataset of Anselin (1988), explaining the crime rate by household income and housing values in 49 Columbus, Ohio neighborhoods, is used for illustration purposes.

Suggested Citation

  • J. Paul Elhorst, 2014. "Linear Spatial Dependence Models for Cross-Section Data," SpringerBriefs in Regional Science, in: Spatial Econometrics, edition 127, chapter 0, pages 5-36, Springer.
  • Handle: RePEc:spr:sbrchp:978-3-642-40340-8_2
    DOI: 10.1007/978-3-642-40340-8_2
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    Cited by:

    1. Higgins, Christopher D. & Adams, Matthew D. & Réquia, Weeberb J. & Mohamed, Moataz, 2019. "Accessibility, air pollution, and congestion: Capturing spatial trade-offs from agglomeration in the property market," Land Use Policy, Elsevier, vol. 84(C), pages 177-191.
    2. Yang Sun & Mengna Du & Leying Wu & Changzhe Li & Yulong Chen, 2022. "Evaluating the Effects of Renewable Energy Consumption on Carbon Emissions of China’s Provinces: Based on Spatial Durbin Model," Land, MDPI, vol. 11(8), pages 1-17, August.
    3. Kassouri, Yacouba & Okunlola, Oluyemi Adewole, 2022. "Analysis of spatio-temporal drivers and convergence characteristics of urban development in Africa," Land Use Policy, Elsevier, vol. 112(C).
    4. Ermini, Barbara & Carlucci, Margherita & Cucci, Marianna & Rontos, Kostas & Salvati, Luca, 2024. "Suburban fertility and the role of local contexts in a Mediterranean country: A spatial exercise," Socio-Economic Planning Sciences, Elsevier, vol. 91(C).
    5. Fingleton, Bernard & Szumilo, Nikodem, 2019. "Simulating the impact of transport infrastructure investment on wages: A dynamic spatial panel model approach," Regional Science and Urban Economics, Elsevier, vol. 75(C), pages 148-164.
    6. Carpenter, Craig Wesley & Anderson, David & Dudensing, Rebekka, 2019. "The Texas Drilling Boom and Local Human Capital Investment," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 51(2), pages 199-218, May.
    7. Yoojin Yi & Euijune Kim & Eunjin Choi, 2017. "Linkage among School Performance, Housing Prices, and Residential Mobility," Sustainability, MDPI, vol. 9(6), pages 1-18, June.
    8. Leonardo Rodriguez-Pineda & Andres Felipe Sanchez-Saldarriaga & Helena María Cancelado-Carretero, 2020. "Spatial Dynamic Effects in the Colombian Health System," Lecturas de Economía, Universidad de Antioquia, Departamento de Economía, issue 92, pages 201-222, Enero-Jun.
    9. Omar H. M. N. Bashar, 2021. "An Intra-City Analysis of House Price Convergence and Spatial Dependence," The Journal of Real Estate Finance and Economics, Springer, vol. 63(4), pages 525-546, November.
    10. Rong Fu & Dong Deng & Tao Liu, 2023. "The Impact of Aging on Housing Market: Evidence from China," Sustainability, MDPI, vol. 15(5), pages 1-13, February.
    11. Serkan Cahit Dinc & Necati Alp Erilli, 2022. "Hybrid Ranking Proposal Based on Spatial Econometrics: An Example of European Economic Freedoms," EKOIST Journal of Econometrics and Statistics, Istanbul University, Faculty of Economics, vol. 0(36), pages 205-233, June.
    12. Eleonora Cutrini, 2023. "Postcrisis recovery in the regions of Europe: Does institutional quality matter?," Journal of Regional Science, Wiley Blackwell, vol. 63(1), pages 5-29, January.
    13. Firat Bilgel, 2021. "Infant mortality in Turkey: Causes and effects in a regional context," Papers in Regional Science, Wiley Blackwell, vol. 100(2), pages 429-453, April.
    14. An, Hui & Xu, Jianjun & Ma, Xuejiao, 2020. "Does technological progress and industrial structure reduce electricity consumption? Evidence from spatial and heterogeneity analysis," Structural Change and Economic Dynamics, Elsevier, vol. 52(C), pages 206-220.
    15. Carlos Daniel Navarro, 2015. "Migración y Desempleo: Un análisis espacial para el Noroeste Argentino," Working Papers 14, Instituto de Estudios Laborales y del Desarrollo Económico (IELDE) - Universidad Nacional de Salta - Facultad de Ciencias Económicas, Jurídicas y Sociales.
    16. Hennig Solveigh & Breustedt Gunnar, 2018. "The Incidence of Agricultural Subsidies on Rental Rates for Grassland," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 238(2), pages 125-156, April.
    17. Arikan, Cengiz & Yalcin, Yeliz, 2017. "Do The Countries’ Monetary Policies Have Spatial Impact?," MPRA Paper 83407, University Library of Munich, Germany.
    18. Chica-Olmo, Jorge & Sari-Hassoun, Salaheddine & Moya-Fernández, Pablo, 2020. "Spatial relationship between economic growth and renewable energy consumption in 26 European countries," Energy Economics, Elsevier, vol. 92(C).
    19. Abban, Olivier Joseph & Xing, Yao Hong & Nuţă, Alina Cristina & Nuţă, Florian Marcel & Borah, Prasad Siba & Ofori, Charles & Jing, Yao Jing, 2023. "Policies for carbon-zero targets: Examining the spillover effects of renewable energy and patent applications on environmental quality in Europe," Energy Economics, Elsevier, vol. 126(C).

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