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Spatial Survival Analysis

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Encyclopedia of GIS

Synonyms

Correlated frailty models; Spatial frailty modeling

Definition

The statistical modeling of censored time-to-event data is the realm of survival analysis; when such data can be located in space and there is scientific interest in understanding the spatial variation in survival outcomes, a spatial survival analysis is performed. The concept of censoring is what makes survival data statistically interesting: for each observation in our dataset, we either observe the time of an event (such as death, disease progression, successful treatment, etc.) or the time or interval of time in which the observation was lost to follow-up. The observations that are lost to follow-up are the censored observations. Spatial survival analysis combines techniques from geostatistics and survival analysis to answer scientific questions like: where in space is the rate of events unusually high (or low)?

Historical Background

Survival analysis per se has a long tradition in the medical sciences, the...

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Acknowledgements

The author is very grateful to Professor Robin Henderson for allowing him to access and use an anonymized version of the leukemia data from Henderson et al. (2002). These data were used to produce figures1–3.

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Authors and Affiliations

  1. Faculty of Health and Medicine, Lancaster University, Lancaster, UK

    Benjamin M. Taylor

Authors
  1. Benjamin M. Taylor
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Correspondence to Benjamin M. Taylor .

Editor information

Editors and Affiliations

  1. University of Minnesota, Minneapolis, MN, USA

    Shashi Shekhar

  2. Management Science and Information Systems Department, Rutgers Business School, Rutgers, The State University of New Jersey, Newark, NJ, USA

    Hui Xiong

  3. Department of Management Sciences, Tippie College of Business, University of Iowa, Iowa City, IA, USA

    Xun Zhou

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Taylor, B.M. (2017). Spatial Survival Analysis. In: Shekhar, S., Xiong, H., Zhou, X. (eds) Encyclopedia of GIS. Springer, Cham. https://doi.org/10.1007/978-3-319-17885-1_1639

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