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Optimal spatial aggregation of space–time models and applications

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  • Gehman, Andrew
  • Wei, William W.S.

Abstract

Cancers are serious health concerns for every country. In the U.S. various cancer data are collected, monitored, and studied by the American Cancer Society (ACS). Since the data involves both spatial and temporal components, space–time models are useful for their analyses. Often these data (such as cancer rates) from varying geographical or political areas will be aggregated spatially to correspond to larger regions for analysis at that spatial scale. Methods to compare spatial aggregation schemes and to identify the optimal spatial aggregation are introduced. Specifically, some useful theorems and algorithms to determine the aggregation scheme that results in the minimum aggregate model error will be given, and they are demonstrated using the U.S. ovarian cancer incidence.

Suggested Citation

  • Gehman, Andrew & Wei, William W.S., 2020. "Optimal spatial aggregation of space–time models and applications," Computational Statistics & Data Analysis, Elsevier, vol. 145(C).
  • Handle: RePEc:eee:csdana:v:145:y:2020:i:c:s0167947320300049
    DOI: 10.1016/j.csda.2020.106913
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    1. Svetlana Borovkova & Hendrik P. Lopuhaä & Budi Nurani Ruchjana, 2008. "Consistency and asymptotic normality of least squares estimators in generalized STAR models," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 62(4), pages 482-508, November.
    2. Ohtsuka, Yoshihiro & Oga, Takashi & Kakamu, Kazuhiko, 2010. "Forecasting electricity demand in Japan: A Bayesian spatial autoregressive ARMA approach," Computational Statistics & Data Analysis, Elsevier, vol. 54(11), pages 2721-2735, November.
    3. Jon R. Miller, 1998. "original: Spatial aggregation and regional economic forecasting," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 32(2), pages 253-266.
    4. Kamarianakis, Yiannis & Prastacos, Poulicos, 2002. "Space-time modeling of traffic flow," ERSA conference papers ersa02p141, European Regional Science Association.
    5. Juan C. Duque & Luc Anselin & Sergio J. Rey, 2012. "The Max-P-Regions Problem," Journal of Regional Science, Wiley Blackwell, vol. 52(3), pages 397-419, August.
    6. Domenico Piccolo, 1990. "A Distance Measure For Classifying Arima Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 11(2), pages 153-164, March.
    7. Huang, H.-C. & Martinez, F. & Mateu, J. & Montes, F., 2007. "Model comparison and selection for stationary space-time models," Computational Statistics & Data Analysis, Elsevier, vol. 51(9), pages 4577-4596, May.
    8. Nunung Nurhayati & Udjianna S. Pasaribu & Oki Neswan, 2012. "Application of Generalized Space-Time Autoregressive Model on GDP Data in West European Countries," Journal of Probability and Statistics, Hindawi, vol. 2012, pages 1-16, May.
    9. Valter Di Giacinto, 2006. "A Generalized Space-Time ARMA Model with an Application to Regional Unemployment Analysis in Italy," International Regional Science Review, , vol. 29(2), pages 159-198, April.
    10. Tao Cheng & James Haworth & Jiaqiu Wang, 2012. "Spatio-temporal autocorrelation of road network data," Journal of Geographical Systems, Springer, vol. 14(4), pages 389-413, October.
    11. Ana Mónica C. Antunes & Tata Subba Rao, 2006. "On Hypotheses Testing for the Selection of Spatio‐Temporal Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 27(5), pages 767-791, September.
    12. Yongning Wang & Ruey S. Tsay & Johannes Ledolter & Keshab M. Shrestha, 2013. "Forecasting Simultaneously High‐Dimensional Time Series: A Robust Model‐Based Clustering Approach," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 32(8), pages 673-684, December.
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