Communications for Statistical Applications and Methods

  • 제11권2호
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  • Pages.355-368
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  • 2004
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  • 2287-7843(pISSN)
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  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
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The Estimation of Theoretical Semivariogram Adapting Genetic Algorithm for Kriging

  • Ryu, Je-Seon (Center of Innovative Design Optimization Technology, Hanyang University) ;
  • Park, Young-Sun (The Research Institute of Natural Science, Hanyang University) ;
  • Cha, Kyung-Joon (Department of Mathematics, Hanyang University)
  • 발행 : 2004.08.01
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초록

In order to use Kriging, one has to estimate three parameters(nugget, sill and range) of semivariogram, which shows the relationship in the given two sites. A visual fit of the semivariogram parameters to a few standard models is widely used. But, it does not give the suitable results and not provide the automated process of Kriging. The gradient based nonlinear least squares is another choices to estimate three parameters, but it has some problems such as initial value problem. In this paper, we suggest the genetic algorithm as a compatible alternative method to solve the above mentioned problem. Finally, we estimate three parameters of semivariogram of rain-fall by adapting the genetic algorithm, compute Kriging estimate and conclude its effectiveness and compatibility.

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참고문헌

  1. 통계청 홈페이지
  2. 기상연보
  3. 메타휴리스틱 김여근;윤복식;이상복
  4. 전남대학교 석사학위논문 강수량 분포에 적용되는 Kappa분포의 모수추정 오은선
  5. 건설기술정보 기후변동과 확률강우량의 변화 이동률
  6. 대한토목학회논문집 v.22 no.5;B 강우관측망 최적설계 기법 개선에 관한 연구 이재형;유양규;정재성
  7. 한국지하수토양환경학회 추계학회 논문집 Simulated Annealing 기법을 이용한 실험적 베리오그램의 모델링 최종근;정대인
  8. Journal of Hydrology v.165 Identification and calibration of spatial correlation patterns of rain fall Bacchi, B;Kottegoda, N.T. https://doi.org/10.1016/0022-1694(94)02590-8
  9. Statistics for spatial data Cressie, N.
  10. Signal processing; Image communication v.13 Applications of Kriging to image sequence cooling Deceneiere, E.;Fouquet, C.;Meyer, F. https://doi.org/10.1016/S0923-5965(98)00007-1
  11. Mining geostatistics Journel, A.G.;Huijbregts, C.J.
  12. Journal of the Chemical, Metallurgical and mining society of south africa v.52 A statistical approach to some basic mine valuation problems on the Witwatersrand Krige, D.G.
  13. The Korean Communications in Statistics v.10 no.2 A space model to annual rainfall in South Korea Lee, E.K. https://doi.org/10.5351/CKSS.2003.10.2.445
  14. Fontainebleau v.1 Le Krigeage universel, Cahiers du Centre de Morphologie Mathematique Matheron, G.
  15. Fontainebleau v.5 The theory of regionalized variables and its applications. Cahiers du centre de morphologie mathematique Matheron, G.
  16. In proceedings of ninth international symposium on techniques for decision-making in the mineral industry v.12 Universal Kriging Matheron, G.;Huijbregts, C.J.
  17. The Korean Communications in Statistics v.10 no.2 Spatial data analysis using the Kriging method Namkung, P.;Jang, J.H.;Hong, T.K. https://doi.org/10.5351/CKSS.2003.10.2.423
  18. Biometrics v.37 The making and testing of geographic gene-frequency maps Piazza(et al.) https://doi.org/10.2307/2530147
  19. KSME international journal v.16 no.5 Kriging interpolation methods in geostatistics and DACE Model Ryu, J.S.;Kim, M.S.;Cha, K.J.;Lee, T.H.;Choi, D.H.
  20. Statistical Science v.4 no.4 Design and analysis of computer experiments Sacks, J.;Welch, W.J.;Mitchell, T.J.;Wynn, P.H. https://doi.org/10.1214/ss/1177012413
  21. S+ spatialstats user's Manual Stephen, P.K.;Silvia, C.V.;Tamre, P.C.;Alic, A.C.
  22. Exploratory data analysis Tukey, J.W.
  23. Advances is soil science v.3 Quantitative spatial analysis of soil in the field Webster, R.;B.A. Stewart(ed.) https://doi.org/10.1007/978-1-4612-5090-6_1