Skip to main content

Clustering: Spatial Autocorrelation and Location Quotients

  • Chapter
  • First Online:
Morphisms for Quantitative Spatial Analysis

Abstract

Geographic concentration of employment types frequently yields clusters exhibiting moderate-to-strong positive spatial autocorrelation. Such clusters based upon geographic proximity, and frequently quantified with location quotients, also can relate to local indices of spatial autocorrelation, such as LISA and the Getis-Ord statistics. Carroll et al. (Ann Reg Sci 42:449–463, 2008) furnish a comparison of these sets of indices. This chapter adds to that literature, but by conceptualizing location quotients as spatially autocorrelated binomial random variables.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 129.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 129.00
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    A random effects term treats a regression residual as a composite that is the sum of two terms, a random observation effect (differences among individual observational units) plus an independent and identically distributed space–time -varying residual error (which links to change over space and time). These two terms cannot be separated without additional information, such as priors for a Bayesian analysis, and repeated measures for a frequentist analysis.

References

  • Beyene, J., & Moineddin, R. (2005). Methods for confidence interval estimation of a ratio parameter with application to location quotients. BMC Medical Research Methodology, 5, 32.

    Article  Google Scholar 

  • Carroll, M. C., Reid, N., & Smith, B. W. (2008). Location quotients versus spatial autocorrelation in identifying potential cluster regions. The Annals of Regional Science, 42(2), 449–463.

    Article  Google Scholar 

  • Cromley, R., & Hanink, D. (2012). Focal location quotients: Specification and applications. Geographical Analysis, 44, 398–410.

    Article  Google Scholar 

  • Feng, J., & Ji, M. (2011). Integrating location quotient, Local Moran’s I and geographic linkage for spatial patterning of industries in Shanghai, China. In Proceedings, 19th International Conference on Geoinformatics. Accessed October 15, 2017, from http://ieeexplore.ieee.org/document/5980854/

  • Griffith, D. (2004). A spatial filtering specification for the auto-logistic model. Environment and Planning A, 36, 1791–1811.

    Article  Google Scholar 

  • Moineddin, R., Beyene, J., & Boyle, E. (2003). On the location quotient confidence interval. Geographical Analysis, 35, 249–256.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Griffith, D.A., Paelinck, J.H.P. (2018). Clustering: Spatial Autocorrelation and Location Quotients. In: Morphisms for Quantitative Spatial Analysis. Advanced Studies in Theoretical and Applied Econometrics, vol 51. Springer, Cham. https://doi.org/10.1007/978-3-319-72553-6_6

Download citation

Publish with us

Policies and ethics