Sampling Design Optimization for Space-Time Kriging

Spatio-temporal Design: Advances in Efficient Data Acquisition

Volumn , Issue , 2012, Pages 207-230

  Heuvelink, Gerard B M ^a   Griffith, Daniel A ^b   Hengl, Tomislav ^c   Melles, Stephanie J ^d  

^a WAGENINGEN UNIVERSITY   (Netherlands)

^b UNIVERSITY OF TEXAS AT DALLAS   (United States)

^c ISRIC WORLD SOIL INFORMATION   (Netherlands)

^d TRENT UNIVERSITY   (Canada)

Author keywords

Sampling design optimization; Space Time universal kriging; Spatial simulated annealing; Upper austria

Indexed keywords

SIMULATED ANNEALING;

DYNAMIC DESIGN; ESTIMATION ERRORS; GEOSTATISTICAL; INTERPOLATION ERROR; SAMPLING DESIGN; STATION LOCATION; UNIVERSAL KRIGING; UPPER AUSTRIA;

INTERPOLATION;

EID: 84947868380     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9781118441862.ch9     Document Type: Chapter

References (37)

1. 4) and nitrous oxide (N2O) total columns measured within the NDACC ground-based high resolution solar FTIR network. Atmospheric Chemistry and Physics 11, 6167-6183.
2. Angulo JM, Ruiz-Medina MD, Alonso FJ and Bueso MC 2005 Generalized approaches to spatial sampling design. Environmetrics 16, 523-534.
3. Baume OP, Gebhardt A, Gebhardt C, Heuvelink GBM and Pilz J 2011 Network optimization algorithms and scenarios in the context of automatic mapping. Computers and Geosciences 37, 289-294.
4. Bivand RS, Pebesma EJ and Gòmez-Rubio V 2008 Applied Spatial Data Analysis with R. Springer.
5. Brus DJ and de Gruijter JJ 2011 Design-based generalized least squares estimation of status and trend of soil properties from monitoring data. Geoderma 164, 172-180.
6. Brus DJ and De Gruijter JJ 2012 A hybrid design-based and model-based sampling approach to estimate the temporal trend of spatial means. Geoderma 173, 241-248.
7. Brus DJ and Heuvelink GBM 2007 Optimization of sample patterns for universal kriging of environmental variables. Geoderma 138, 86-95.
8. Byrd RH, Lu P, Nocedal J and Zhu C 1995 A limited memory algorithm for bound constrained optimization. SIAM Journal of Scientific Computing 16, 1190-1208.
9. Cameletti M 2012 Spatio-temporal models in R. Package vignettes. CRAN, University of Bergamo.
10. Cressie N and Wikle C 2011 Statistics for Spatio-Temporal Data. John Wiley & Sons, Ltd.
11. de Gruijter JJ, Brus DJ, Bierkens MFP and Knotters M 2006 Sampling for Natural Resource Monitoring. Springer.
12. Diggle P and Ribeiro PJ 2007 Model-Based Geostatistics. Springer.
13. Fonseca T and Steel M 2011 A general class of nonseparable space-time covariance models. Environmetrics 22, 224-242.
14. Fuentes M, Chen L and Davis J 2008 A class of nonseparable and nonstationary spatial temporal covariance functions. Environmetrics 19, 487-507.
15. Gething PW, Atkinson PM, Noor AM, Gikandi PW, Hay SI and Nixon MS 2007 A local space-time kriging approach applied to a national outpatient malaria data set. Computers and Geosciences 33, 1337-1350.
16. Guedes L, Ribeiro P, Piedade S and Uribe-Opzao M 2011 Optimization of spatial sample configurations using hybrid genetic algorithm and simulated annealing. Chilean Journal of Statistics 2, 39-50.
17. Heuvelink GBM and Griffith DA 2010 Space-time geostatistics for geography: a case study of radiation monitoring across parts of germany. Geographical Analysis 42, 161-179.
18. Heuvelink GBM, Jiang Z, de Bruin S and Twenhöfel C 2010 Optimization of mobile radioactivity monitoring networks. International Journal of GIS 24, 365-382.
19. Kirkpatrick S, Gelatt CD and Vecchi MP 1983 Optimization by simulated annealing. Science 220, 671-680.
20. Kukkonena J, Pohjolaa M, Sokhib RS, Luhanab L, Kitwiroonb N, Fragkoub L, Rantamäkia M, Bergec E, Odegaardd V, Slordale L, Denby B and Finardif S 2005 Analysis and evaluation of selected local-scale PM10 air pollution episodes in four European cities: Helsinki, London, Milan and Oslo. Atmospheric Environment 39, 2759-2773.
21. Ma C 2003 Families of spatio-temporal stationary covariance models. Journal of Statistical Planning and Inference 116, 489-501.
22. Melles SJ, Heuvelink GBM, Twenhöfel CJW, Van Dijk A, Hiemstra PH, Baume O and Stöhlker U 2011 Optimizing the spatial pattern of networks for monitoring radioactive releases. Computers and Geosciences 37, 280-288.
23. Müller W 2007 Collecting Spatial Data 3rd edn. Springer.
24. Müller W and Stehlik M 2010 Compound optimal spatial designs. Environmetrics 21, 254-264.
25. Neteler M 2010 Estimating daily land surface temperatures in mountainous environments by reconstructed modis lst data. Remote Sensing 2, 333-351.
26. Pebesma E 2012 Spatio-temporal geostatistics using gstat . Package vignettes. CRAN, University of Münster.
27. Pilz J and Spock G 2006 Spatial sampling design for prediction taking account of uncertain covariance structure. In Proceedings of the 7th International Symposium on Spatial Accuracy Assessment in Natural Resources and Environmental Sciences (eds Caetano M and Painho M). Portuguese Geographic Institute, Lisboan.
28. Rue H 2012 The r-inla project. Available at http://www.r inla.org/. Last accessed on 28 February 2012.
29. Snepvangers JJJC, Heuvelink GBM and Huisman JA 2003 Soil water content interpolation using spatio-temporal kriging with external drift. Geoderma 112, 253-271.
30. Spadavecchia L 2008 Estimation of Landscape Carbon Budgets: Combining Geostatistical and Data Assimilation Approaches. 8.
31. Braak CJ 2006 A Markov chain Monte Carlo version of the genetic algorithm differential evolution: easy Bayesian computing for real parameter spaces. Statistics and Computing 16, 239-249.
32. van Groenigen JW, Siderius W and Stein A 1999 Constrained optimization of soil sampling for minimization of the kriging variance. Geoderma 87, 239-259.
33. Vrugt JA, Robinson BA and Hyman JM 2008 Self-adaptive multimethod search for global optimization in real-parameter spaces. IEEE Transactions on Evolutionary Computation 13, 243-259.
34. Wan Z, Zhang Y, Zhang Q and Li ZL 2004 Quality assessment and validation of the modis global land surface temperature. International Journal of Remote Sensing 25, 261-274.
35. Xia G, Miranda M and Gelfand A 2006 Approximately optimal spatial design approaches for environmental health data. Environmetrics 17, 363-385.
36. Yu HL, Kolovos A, Christakos G, Chen JC, Warmerdam S and Dev B 2007 Interactive spatiotemporal modelling of health systems: the Seks-Gui framework. Stochastic Environmental Research and Risk Assessment 21, 555-572.
37. Zhu Z and Stein M 2006 Spatial sampling design for prediction with estimated parameters. Journal of Agricultural, Biological and Environmental Statistics 11, 24-49.