메뉴 건너뛰기




Volumn 39, Issue 2, 2007, Pages 159-176

A fixed-path markov chain algorithm for conditional simulation of discrete spatial variables

Author keywords

Interclass relationship; Markov chain random field; Multinomial classes; Nearest known neighbor; Spatial Markov chain; Transiogram

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; GEOLOGIC MODELS; MARKOV PROCESSES; PROBABILITY; RANDOM PROCESSES; UNCERTAINTY ANALYSIS;

EID: 34248584706     PISSN: 08828121     EISSN: 15738868     Source Type: Journal    
DOI: 10.1007/s11004-006-9071-7     Document Type: Article
Times cited : (23)

References (27)
  • 1
    • 0000365247 scopus 로고
    • Classification of binary random patterns
    • Abend, K., Harley, T. J., and Kanal, L. N., 1965, Classification of binary random patterns: IEEE Trans. Info. Theory, v. 11, no. 4, p. 538-544.
    • (1965) IEEE Trans. Info. Theory , vol.11 , Issue.4 , pp. 538-544
    • Abend, K.1    Harley, T.J.2    Kanal, L.N.3
  • 2
    • 0000013152 scopus 로고
    • On the statistical analysis of dirty pictures (with discussions)
    • Ser. B
    • Besag, J., 1986, On the statistical analysis of dirty pictures (with discussions): J. Royal Stat. Soc., Ser. B, v. 48, no. 3, p. 259-302.
    • (1986) J. Royal Stat. Soc. , vol.48 , Issue.3 , pp. 259-302
    • Besag, J.1
  • 3
    • 0030455918 scopus 로고    scopus 로고
    • Transition probability-based indicator geostatistics
    • Carle, S. F., and Fogg, G. E., 1996, Transition probability-based indicator geostatistics: Math. Geol., v. 28, no. 4, p. 453-477.
    • (1996) Math. Geol. , vol.28 , Issue.4 , pp. 453-477
    • Carle, S.F.1    Fogg, G.E.2
  • 4
    • 0031432328 scopus 로고    scopus 로고
    • Modeling spatial variability with one- and multi-dimensional continuous Markov chains
    • Carle, S. F., and Fogg, G. E., 1997, Modeling spatial variability with one- and multi-dimensional continuous Markov chains: Math. Geol., v. 29, no. 7, p. 891-918.
    • (1997) Math. Geol. , vol.29 , Issue.7 , pp. 891-918
    • Carle, S.F.1    Fogg, G.E.2
  • 5
    • 0031916947 scopus 로고    scopus 로고
    • GSLIB: Geostatistical software library and user&s guide
    • 2nd ed Oxford University Press, New York
    • Deutsch, C. V., and Journel, A. G., 1998, GSLIB: Geostatistical software library and user&s guide 2nd ed.: Oxford University Press, New York, 369 p.
    • (1998) , pp. 369
    • Deutsch, C.V.1    Journel, A.G.2
  • 6
    • 0000939226 scopus 로고    scopus 로고
    • A Markov chain model for subsurface characterization: Theory and applications
    • Elfeki, A. M., and Dekking, F. M., 2001, A Markov chain model for subsurface characterization: Theory and applications: Math. Geol., v. 33, no. 5, p. 569-589.
    • (2001) Math. Geol. , vol.33 , Issue.5 , pp. 569-589
    • Elfeki, A.M.1    Dekking, F.M.2
  • 7
    • 0021518209 scopus 로고
    • Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images
    • Geman, S., and Geman, D., 1984, Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images: IEEE Trans. Pattern Analy. Mach. Intell., v. 6, no. 6, p. 721-741.
    • (1984) IEEE Trans. Pattern Analy. Mach. Intell. , vol.6 , Issue.6 , pp. 721-741
    • Geman, S.1    Geman, D.2
  • 8
    • 17944394120 scopus 로고    scopus 로고
    • Geostatistics for natural resources evaluation
    • Oxford University Press, New York
    • Goovaerts, P., 1997, Geostatistics for natural resources evaluation: Oxford University Press, New York, 483 p.
    • (1997) , pp. 483
    • Goovaerts, P.1
  • 9
    • 0029659514 scopus 로고    scopus 로고
    • Heterogeneity in sedimentary deposits: A review of structure-imitating, process-imitating, and descriptive approaches
    • Koltermann, E. C., and Gorelick, S. M., 1996, Heterogeneity in sedimentary deposits: A review of structure-imitating, process-imitating, and descriptive approaches: Water Resour. Res., v. 32, no. 9, p. 2617-2658.
    • (1996) Water Resour. Res. , vol.32 , Issue.9 , pp. 2617-2658
    • Koltermann, E.C.1    Gorelick, S.M.2
  • 10
    • 0012757879 scopus 로고
    • FORTRAN IV computer program for simulation of transgression and regression with continuous time Markov models
    • Kansas, Geol. Surv
    • Krumbein, W. C., 1968, FORTRAN IV computer program for simulation of transgression and regression with continuous time Markov models: Computer Contribution 26, Kansas, Geol. Surv., 38 p.
    • (1968) Computer Contribution , vol.26 , pp. 38
    • Krumbein, W.C.1
  • 11
    • 34249034849 scopus 로고    scopus 로고
    • Markov chain random fields for estimation of categorical variables
    • Li, W., 2006a, Markov chain random fields for estimation of categorical variables: Math. Geol., v. 39, no. 3.
    • (2006) Math. Geol. , vol.39 , Issue.3
    • Li, W.1
  • 12
    • 33745114687 scopus 로고    scopus 로고
    • Transiogram: A spatial relationship measure for categorical data
    • Li, W., 2006b, Transiogram: A spatial relationship measure for categorical data: Inter. J. Geog. Info. Sci., v. 20, no. 6, p. 693-699.
    • (2006) Inter. J. Geog. Info. Sci. , vol.20 , Issue.6 , pp. 693-699
    • Li, W.1
  • 13
    • 0033568784 scopus 로고    scopus 로고
    • Markov-chain simulation of soil textural profiles:
    • Li, W., Li, B., and Shi, Y., 1999, Markov-chain simulation of soil textural profiles: Geoderma, v. 92, no. 1, p. 37-53.
    • (1999) Geoderma , vol.92 , Issue.1 , pp. 37-53
    • Li, W.1    Li, B.2    Shi, Y.3
  • 14
    • 0031414956 scopus 로고    scopus 로고
    • Application of the Markov-chain theory to describe spatial distribution of textural layers
    • Li, W., Li, B., Shi, Y., and Tang, D., 1997, Application of the Markov-chain theory to describe spatial distribution of textural layers: Soil Sci., v. 162, no. 9, p. 672-683.
    • (1997) Soil Sci. , vol.162 , Issue.9 , pp. 672-683
    • Li, W.1    Li, B.2    Shi, Y.3    Tang, D.4
  • 15
    • 4544346309 scopus 로고    scopus 로고
    • Two-dimensional Markov chain simulation of soil type spatial distribution
    • Li, W., Zhang, C., Burt, J. E., Zhu, A. X., and Feyen, J., 2004, Two-dimensional Markov chain simulation of soil type spatial distribution: Soil Sci. Soc. Am. J., v. 68, no. 5, p. 1479-1490.
    • (2004) Soil Sci. Soc. Am. J. , vol.68 , Issue.5 , pp. 1479-1490
    • Li, W.1    Zhang, C.2    Burt, J.E.3    Zhu, A.X.4    Feyen, J.5
  • 16
    • 34248533219 scopus 로고
    • Graphic display of two- and three-dimensional Markov computer models in geology
    • New York
    • Lin, C., and Harbaugh, J. W., 1984, Graphic display of two- and three-dimensional Markov computer models in geology: Van Nostrand Reinhold Company, New York, 180 p.
    • (1984) Van Nostrand Reinhold Company , pp. 180
    • Lin, C.1    Harbaugh, J.W.2
  • 17
    • 25144489231 scopus 로고    scopus 로고
    • Teacher&s aide: Modeling hole-effect variograms of lithology-indicator variables
    • Ma, Y. Z., and Jones, T. A., 2001, Teacher&s aide: Modeling hole-effect variograms of lithology-indicator variables: Math. Geol., v. 33, no. 5, p. 631-648.
    • (2001) Math. Geol. , vol.33 , Issue.5 , pp. 631-648
    • Ma, Y.Z.1    Jones, T.A.2
  • 18
    • 4544262335 scopus 로고    scopus 로고
    • On modeling discrete geological structure as Markov random fields
    • Norberg, T., Rosen, L., Baran, A., and Baran, S., 2002, On modeling discrete geological structure as Markov random fields: Math. Geol., v. 34, no. 1, p. 63-77.
    • (2002) Math. Geol. , vol.34 , Issue.1 , pp. 63-77
    • Norberg, T.1    Rosen, L.2    Baran, A.3    Baran, S.4
  • 19
    • 0000580973 scopus 로고
    • Unilateral Markov fields
    • Pickard, D. K., 1980, Unilateral Markov fields: Adv. Appl. Probab., v. 12, no. 3, p. 655-671.
    • (1980) Adv. Appl. Probab. , vol.12 , Issue.3 , pp. 655-671
    • Pickard, D.K.1
  • 20
    • 2342645091 scopus 로고
    • Generation of a synthetic vertical profile of a fluvial sandstone body
    • Potter, P. E., and Blakely, R. F., 1967, Generation of a synthetic vertical profile of a fluvial sandstone body: J. Soc. Petr. Eng. AIME, v. 7, no. 3, p. 243-251.
    • (1967) J. Soc. Petr. Eng. AIME , vol.7 , Issue.3 , pp. 243-251
    • Potter, P.E.1    Blakely, R.F.2
  • 21
    • 0039057861 scopus 로고
    • Multidimensional Markov chain models for image textures
    • Ser. B
    • Qian, W., and Titterington, D. M., 1991, Multidimensional Markov chain models for image textures: J. Royal Stat. Soc, Ser. B, v. 53, no. 3, p. 661-674.
    • (1991) J. Royal Stat. Soc , vol.53 , Issue.3 , pp. 661-674
    • Qian, W.1    Titterington, D.M.2
  • 22
    • 0033744622 scopus 로고    scopus 로고
    • Behavior of indicator variograms and transition probabilities in relation to the variance in lengths of hydrofacies
    • Ritzi, R. W., 2000, Behavior of indicator variograms and transition probabilities in relation to the variance in lengths of hydrofacies: Water Resour. Res., v. 36, no. 11, p. 3375-3381.
    • (2000) Water Resour. Res. , vol.36 , Issue.11 , pp. 3375-3381
    • Ritzi, R.W.1
  • 23
    • 0001845699 scopus 로고
    • The generation of multidimensional autoregressive series by the herringbone method
    • Sharp, W. E., and Aroian, L. A., 1985, The generation of multidimensional autoregressive series by the herringbone method: Math. Geol., v. 17, no. 1, p. 67-79.
    • (1985) Math. Geol. , vol.17 , Issue.1 , pp. 67-79
    • Sharp, W.E.1    Aroian, L.A.2
  • 24
    • 0032361518 scopus 로고    scopus 로고
    • Markov Random fields with higher-order interactions
    • Tjelmeland, H., and Besag, J., 1998, Markov Random fields with higher-order interactions: Scand. J. Statist. v. 25, no. 3, p. 415-433.
    • (1998) Scand. J. Statist. , vol.25 , Issue.3 , pp. 415-433
    • Tjelmeland, H.1    Besag, J.2
  • 25
    • 0033590145 scopus 로고    scopus 로고
    • Multi-scale alluvial fan heterogeneity modeled with transition probability geostatistics in a sequence stratigraphic framework
    • Weissmann, G. S., and Fogg, G. E., 1999, Multi-scale alluvial fan heterogeneity modeled with transition probability geostatistics in a sequence stratigraphic framework: J. Hydrol., v. 226, no. 1, p. 48-65.
    • (1999) J. Hydrol. , vol.226 , Issue.1 , pp. 48-65
    • Weissmann, G.S.1    Fogg, G.E.2
  • 26
    • 1542291102 scopus 로고    scopus 로고
    • An efficient Markov chain model for the simulation of heterogeneous soil structure
    • Wu, K., Nunan, N., Crawford, J. W., Young, I. M., and Ritz, K., 2004, An efficient Markov chain model for the simulation of heterogeneous soil structure: Soil Sci. Soc. Am. J., v. 68, no. 2, p. 346-351.
    • (2004) Soil Sci. Soc. Am. J. , vol.68 , Issue.2 , pp. 346-351
    • Wu, K.1    Nunan, N.2    Crawford, J.W.3    Young, I.M.4    Ritz, K.5
  • 27
    • 18444394603 scopus 로고    scopus 로고
    • Markov chain modeling of multinomial land-cover classes
    • Zhang, C., and Li, W., 2005, Markov chain modeling of multinomial land-cover classes: GIScience Remote Sens., v. 42, no. 1, p. 1-18.
    • (2005) GIScience Remote Sens. , vol.42 , Issue.1 , pp. 1-18
    • Zhang, C.1    Li, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.