489
Views
11
CrossRef citations to date
0
Altmetric
Original Articles

Combining spatial transition probabilities for stochastic simulation of categorical fields

, &
Pages 1773-1791 | Received 07 May 2010, Accepted 26 Sep 2010, Published online: 01 Dec 2011

References

  • Arpat , B. 2005 . Sequential simulation with patterns , Thesis (PhD). Stanford University .
  • Arpat , B. , Caers , J. and Strebelle , S. Feature-based geostatistics: an application to a submarine channel reservoir . Proceedings of the SPE Annual Technical Conference and Exhibition: Sam Antonio, Texas, Society of Petroleum Engineers, Paper No. 77426 . pp. 1 – 9 .
  • Benediktsson , J. and Swain , P. 1992 . Consensus theoretic classification methods . IEEE Transactions on Systems, Man and Cybernetics , 22 ( 4 ) : 688 – 704 .
  • Berchtold , A. and Raftery , A. 2002 . The mixture transition distribution model for higher-order Markov Chains and non-Gaussian time series . Statistical Science , 17 : 328 – 356 .
  • Besag , J. 1974 . Spatial interaction and the statistical analysis of lattice systems . Journal of the Royal Statistical Society. Seris B (Methodological) , 36 ( 2 ) : 192 – 236 .
  • Bogaert , P. 2002 . Spatial prediction of categorical variables: the Bayesian maximum entropy approach . Stochastic Environmental Research and Risk Assessment , 16 : 425 – 448 .
  • Bonham-Carter , G. 1994 . Geographic information systems for geoscientists: modelling with GIS , New York : Pergamon .
  • Bordley , R.F. 1982 . A multiplicative formula for aggregating probability assessments . Management Science , 28 : 1137 – 1148 .
  • Boucher , A. and Kyriakidis , P.C. 2006 . Super-resolution land cover mapping with indicator geostatistics . Remote Sensing of Environment , 104 ( 3 ) : 264 – 282 .
  • Cao , G. and Kyriakidis , P.C. Combining transition probabilities in the prediction and simulation of categorical fields . Proceedings of the 8th international symposium on spatial accuracy assessment in natural resources and environmental sciences . June 25–27 2008 . Edited by: Zhang , J. and Goodchild , M. Shanghai, , China : World Academic Union .
  • Carle , S.F. and Fogg , G.E. 1996 . Transition probability-based indicator geostatistics . Mathematical Geology , 28 ( 4 ) : 453 – 476 .
  • Carle , S.F. and Fogg , G.E. 1997 . Modeling spatial variability with one and multidimensional continuous-lag Markov chains . Mathematical Geology , 29 ( 7 ) : 891 – 918 .
  • Chugunova , T. and Hu , L. An assessment of the Tau model for integrating auxiliary information . Proceedings of the eighth international geostatistics congress . Edited by: Ortiz , J. and Emery , X. Santiago, , Chile : Gecamin Ltd .
  • Deutsch , C. 1996 . Correcting negative weights in ordinary kriging . Computers & Geosciences , 22 : 765 – 773 .
  • Deutsch , C.V. and Journel , A.G. 1998 . GSLIB: geostatistical software library and user's guide , 2nd , New York : Oxford University Press .
  • D'Or , D. and Allard , D. Simulating categorical random fields using the multinomial regression approach . Proceedings of the eighth international geostatistics congress . Edited by: Ortiz , J. and Emery , X. Santiago, , Chile : Gecamin Ltd .
  • Emery , X. 2004 . Properties and limitations of sequential indicator simulation . Stochastic Environmental Research and Risk Assessment , 18 ( 6 ) : 414 – 424 .
  • Friedman , N. , Geiger , D. and Goldszmidt , M. 1997 . Bayesian network classifiers . Machine Learning , 29 : 131 – 163 .
  • Geman , S. 1993 . Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images . Journal of Applied Statistics , 20 ( 5 ) : 25 – 62 .
  • Goodchild , M. 2008 . Statistical perspectives on geographic information science . Geographical Analysis , 40 : 310 – 325 .
  • Goodchild , M. , Guoqing , S. and Shiren , Y. 1992 . Development and test of an error model for categorical data . International Journal of Geographical Information Systems , 6 : 87 – 104 .
  • Guardiano , F. and Srivastava , R. 1993 . “ Multivariate geostatistics: beyond bivariate mements ” . In Geostatistics Troía 1992 , Edited by: Soares , A. 133 – 144 . Dordrecht, , the Netherlands : Kluwer Academic Press .
  • Johnson , M. 1987 . Multivariate statistical simulation , New York : John Wiley .
  • Journel , A. 2002 . Combining knowledge from diverse sources: an alternative to traditional data independence hypotheses . Mathematical Geology , 34 ( 5 ) : 573 – 596 .
  • Journel , A.G. and Posa , D. 1990 . Characteristic behavior and order relations for indicator variograms . Mathematical Geology , 22 ( 8 ) : 1011 – 1025 .
  • Keogh , E. and Pazzani , M. Learning augmented Bayesian classifiers: a comparison of distribution-based and classification-based approaches . Proceedings of the 7th international workshop artificial intelligence and statistics . Ft. Lauderdale, FL. pp. 225 – 230 .
  • Krishnan , S. 2008 . The Tau model for data redundancy and information combination in earth sciences: theory and application . Mathematical Geosciences , 40 : 705 – 727 .
  • Li , W. 2006 . Transiogram: a spatial relationship measure for categorical data . International Journal of Geographical Information Science , 20 ( 6 ) : 693 – 699 .
  • Li , W. 2007 . Markov chain random fields for estimation of categorical variables . Mathematical Geology , 39 : 321 – 335 .
  • Raftery , A. 1985 . A model for higher-order Markov chains . Journal of Royal Statistical Society , 47 : 528 – 539 .
  • Sahami , M. Learning limited dependence Bayesian classifiers . Proceedings of the second international conference knowledge discovery and data mining (KDD) . Portland, OR. pp. 335 – 338 . AAAI Press .
  • Solow , A.R. 1986 . Mapping by simple indicator kriging . Mathematical Geology , 18 ( 3 ) : 335 – 352 .
  • Strebelle , S. 2002 . Conditional simulation of complex geological structures using multiple-point statistics . Mathematical Geology , 34 ( 1 ) : 1 – 21 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.