239
Views
18
CrossRef citations to date
0
Altmetric
Articles

Linear interpolation and joint model fitting of experimental transiograms for Markov chain simulation of categorical spatial variables

&
Pages 821-839 | Received 10 Apr 2009, Accepted 15 Jun 2009, Published online: 01 Mar 2010

References

  • Balzter , H. 2000 . Markov chain models for vegetation dynamics . Ecological Modelling , 126 : 139 – 154 .
  • Bell , E.J. 1974 . Markov analysis of land use change. An application of stochastic processes to remotely sensed data . Socio-Economic Planning Science , 8 : 311 – 316 .
  • Brown , L.A. 1970 . On the use of Markov chains in movement research . Economic Geography , 46 : 393 – 403 .
  • Carle , S.F. and Fogg , G.E. 1997 . Modeling spatial variability with one- and multi-dimensional continuous Markov chains . Mathematical Geology , 29 : 891 – 918 .
  • Collins , L. , Drewett , R. and Ferguson , R. 1974 . Markov models in geography . The Statistician , 23 : 179 – 209 .
  • Deutsch , C.V. 1998 . Cleaning categorical variable (lithofacies) realizations with maximum a-posteriori selection . Computers & Geosciences , 24 : 551 – 562 .
  • Deutsch , C.V. 2006 . A sequential indicator simulation program for categorical variables with point and block data: BlockSIS . Computers & Geosciences , 32 : 1669 – 1681 .
  • Deutsch , C.V. and Journel , A.G. 1998 . GSLIB: seostatistics software library and user's guide , New York : Oxford University Press .
  • Goovaerts , P. 1996 . Stochastic simulation of categorical variables using a classification algorithm and simulated annealing . Mathematical Geology , 28 : 909 – 921 .
  • Goovaerts , P. 1997 . Geostatistics for natural resources evaluation , New York : Oxford University Press .
  • Horn , H.S. 1975 . “ Markovian processes of forest succession. In ” . In Ecology and evolution of communities , Edited by: Cody , M.L. and Diamond , J.M. 196 – 211 . Cambridge : MA: Belknap Press .
  • Journel , A.G. and Xu , W. 1994 . Posterior identification of histograms conditional to local data . Mathematical Geology , 26 : 323 – 359 .
  • Li , W. 2006 . Transiogram: a spatial relationship measure for categorical data . International Journal of Geographical Information Science , 20 : 693 – 699 .
  • Li , W. 2007a . Transiograms for characterizing spatial variability of soil classes . Soil Science Society of America Journal , 71 : 881 – 893 .
  • Li , W. 2007b . Markov chain random fields for estimation of categorical variables . Mathematical Geology , 39 : 321 – 335 .
  • Li , W. and Zhang , C. 2005 . Application of transiograms to Markov chain simulation and spatial uncertainty assessment of land-cover classes . GIScience & Remote Sensing , 42 : 297 – 319 .
  • Li , W. and Zhang , C. 2007 . A random-path Markov chain algorithm for simulating categorical soil variables from random point samples . Soil Science Society of America Journal , 71 : 656 – 668 .
  • Luo , J. 1996 . “ Transition probability approach to statistical analysis of spatial qualitative variables in geology ” . In Geologic modeling and mapping , Edited by: Foster , A. and Marriam , D.F. 281 – 299 . New York : Plenum Press .
  • Luo , J. and Thomsen , A. 1994 . “ On direct estimation of the bivariate probability distribution of a regionalized variable from its spatial samples ” . In CODATA conference on geomathematics and geostatistics , 3rd , Edited by: Fabbri , A.G. and Royer , J.J. Vol. 32 , 115 – 123 . Nancy : Sci. de la Terre, Ser. Inf .
  • Machuca-Mory , D.F. , Ortiz , J.M. and Deutsch , C.V. 2008 . On the challenge of using sequential indicator simulation for the estimation of recoverable reserves . International Journal of Mining, Reclamation and Environment , 22 : 285 – 299 .
  • Potter , P.E. and Blakely , R.F. 1967 . Generation of a synthetic vertical profile of a fluvial sandstone body . Society of Petroleum Engineers of AIME Journal , 7 : 243 – 251 .
  • Ritzi , R.W. 2000 . Behavior of indicator variograms and transition probabilities in relation to the variance in lengths of hydrofacies . Water Resources Research , 36 : 3375 – 3381 .
  • Schwarzacher , W. 1969 . The use of Markov chains in the study of sedimentary cycles . Mathematical Geology , 1 : 17 – 39 .
  • Tang , J. , Wang , L. and Yao , Z. 2007 . Spatio-temporal urban landscape change analysis using the Markov chain model and a modified genetic algorithm . International Journal of Remote Sensing , 28 : 3255 – 3271 .
  • Zhang , C. and Li , W. 2008 . Regional-scale modelling of the spatial distribution of surface and subsurface textural classes in alluvial soils using Markov chain geostatistics . Soil Use and Management , 24 : 263 – 272 .

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.