Skip to main content

A Variance-Stabilizing Transformation to Mitigate Biased Variogram Estimation in Heterogeneous Surfaces with Clustered Samples

  • Conference paper
  • First Online:
Book cover Advances in Geocomputation

Part of the book series: Advances in Geographic Information Science ((AGIS))

Abstract

Due to the inherent variance heterogeneity in clustered preferential sampling, the underlying variogram cannot be estimated directly. A variance-stabilizing declustering method is proposed here using a modified Box–Cox transformation. In contrast to the traditional Box–Cox transformation that aims at achieving normally distributed data, its modified version has the objective to match the variance in clustered sample observations to the variance of the remaining more dispersed background sample observations. The proposed approach leads to predictions with lower standard errors than alternative proposed methods.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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

References

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xiaojun Pu .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing Switzerland

About this paper

Cite this paper

Pu, X., Tiefelsdorf, M. (2017). A Variance-Stabilizing Transformation to Mitigate Biased Variogram Estimation in Heterogeneous Surfaces with Clustered Samples. In: Griffith, D., Chun, Y., Dean, D. (eds) Advances in Geocomputation. Advances in Geographic Information Science. Springer, Cham. https://doi.org/10.1007/978-3-319-22786-3_24

Download citation

Publish with us

Policies and ethics