Skip to main content

Spatial Simulated Annealing for Optimizing Sampling

Different optimization criteria compared

  • Conference paper
geoENV I — Geostatistics for Environmental Applications

Part of the book series: Quantitative Geology and Geostatistics ((QGAG,volume 9))

Abstract

In this paper, a modified version of continuous simulated annealing is proposed as a tool for optimizing spatial sampling schemes at the point level. Spatial information on the sampling area, stored in a GIS, can be dealt with as constraints to the optimization process. Maps and earlier measurements can be handled as pre-information. The algorithm can distinguish different quantitative optimization criteria. In this paper, two criteria will be presented. The first ensures optimal estimation of the variogram, by reproducing a pre-specified point-pair distribution over distance- and direction classes. Compared to a previous study, the algorithm produced dramatic improvements. The second criterion aims at even spreading of the sampling points over the area. Here, the algorithm always did better than a triangular grid, especially in areas with much sampling constraints, where improvements could be up to 30%. Combination of the criteria in a phased sampling procedure is possible.

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 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Aarts, E., and Korst, J. (1990) Simulated Annealing and Boltzmann machines - a stochastic approach to Combinatorial Optimization and Neural Computing, John Wiley and Sons, New York.

    Google Scholar 

  • Deutsch, C.V., and Joumel, A.G. (1987) GS-LIB - Geostatistical software library and users guide, Oxford University Press, Oxford.

    Google Scholar 

  • Farmer, C. (1991). Numerical Rocks, in J. Fayers and P. King (eds), The mathematical Generation of Reservoir Geology, Oxford University Press, New York.

    Google Scholar 

  • Groenigen, J.W., and Stein, A. (submitted) Spatial Simulated Annealing for designing Spatial Sampling Schemes.

    Google Scholar 

  • Groenigen, J.W., Stein, A., and Zuurbier, R. (in press)) Optimization of environmental sampling using interactive GIS, Soil Technology.

    Google Scholar 

  • Gruijter, J.J. de., and Braak, C.J.F. ter. (1990) Model free estimation from spatial samples: a reappraisal of classical sampling theory, Mathematical Geology 4, 407–415.

    Article  Google Scholar 

  • Kirkpatrick, S., Gelatt, C.D., and Vecchi, P.H. (1983) Optimization by Simulated Annealing, Science 4598, 671–680.

    Article  MathSciNet  Google Scholar 

  • Laarhoven, P.J.M., and Aarts, E.H.L (1987) Simulated Annealing: Theory and Applications, Kluwer Academic Publishers, Dordrecht.

    Book  MATH  Google Scholar 

  • McBratney, A.B., Webster, R., and Burgess, T.M. (1981) The design of optimal sampling schemes for local estimation and mapping of regionalized variables, Computers and Geosciences 4, 331–366.

    Article  Google Scholar 

  • Stein, A., Staritsky, I., Bouma, J., and Groenigen, J.W. (1995) Interactive GIS for environmental risk assessment, International Journal of Geographical Information Systems 5, 509–525.

    Article  Google Scholar 

  • Warrick, A.W., and Myers, D.E. (1987) Optimization of sampling locations for variogram calculations, Water Resources Research 3, 496–500.

    Article  Google Scholar 

  • Webster, R., and Burgess, T.M. (1984) Sampling and bulking strategies for estimating soil properties in small regions, Journal of Soil Science 31, 127–140.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Van Groenigen, J.W. (1997). Spatial Simulated Annealing for Optimizing Sampling. In: Soares, A., Gómez-Hernandez, J., Froidevaux, R. (eds) geoENV I — Geostatistics for Environmental Applications. Quantitative Geology and Geostatistics, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1675-8_29

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-1675-8_29

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4861-5

  • Online ISBN: 978-94-017-1675-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics