한국수자원학회논문집 (Journal of Korea Water Resources Association)

  • 제37권1호
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  • Pages.13-19
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  • 2004
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  • 2799-8746(pISSN)
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  • 2799-8754(eISSN)
한국수자원학회 (Korea Water Resources Association)
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포아송 과정을 이용한 과우해의 재현기간 및 지속특성 분석

Analysis of Dry Year Return Period and Duration Based on the Poisson Process

  • 유철상 (고려대학교 토목환경공학과)
  • 발행 : 2004.01.01
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초록

본 연구에서는 포아송 과정을 이용하여 과우해의 재현기간 및 지속특성을 정량화 해 보았다. 대상 지점은 서울 지점으로 하였고 1911년 이후의 자료를 이용하였다. 먼저 포아송 과정을 적용하기 위한 최대 절단수준은 대략 평균에서 표준편차의 50%를 뺀 정도로 결정되었고, 이러한 절단수준에 대해 관측치와 포아송 과정을 비교하였다. 특히, 과우해의 평균 재현기간 및 지속기간은 관측치와 아주 유사한 값을 나타냄을 확인할 수 있었으며, 이는 가뭄을 정량화 하는 경우에도 포아송 과정이 효과적으로 이용될 수 있음을 나타낸다.

This study shows the possible use of the Poisson process for the characterization of dry year return period and duration. For the analysis we used an annual precipitation data, which has been collected since 1911 in Seoul. The highest threshold for the application of the Poisson process was determined to be the mean-0.5standard deviation, and then the results from the Poisson process are compared with the observed. Especially, the Poisson process was found to reproduce the mean duration and return interval quite well and show the possibility of using the Poisson process for the drought analysis.

키워드

참고문헌

  1. Alley, W.M. (1984). 'The Palmer drought severity index: limitations and assumptions,' Journal of Climate and Applied Meteorology, Vol. 23, pp. 1100-1109 https://doi.org/10.1175/1520-0450(1984)023<1100:TPDSIL>2.0.CO;2
  2. Ashkar, F. and Rousselle, J. (1987). 'Partial Duration Series Modeling under the assumption of a Poissonian flood counts,' Journal of Hydrology, Vol. 90, pp. 135-144 https://doi.org/10.1016/0022-1694(87)90176-4
  3. Chang, T.J. (1991). 'Investigation of precipitation droughts by use of Kriging method,' Journal of Irrigation and Drainage Engineering, ASCE, Vol. 117, No. 6, pp. 935-943 https://doi.org/10.1061/(ASCE)0733-9437(1991)117:6(935)
  4. Chang, T.J. and Kleopa, X.A. (1991). 'A proposed method for drought monitoring,' Water Resources Bulletin, Vol. 27, No. 2, pp. 275-281 https://doi.org/10.1111/j.1752-1688.1991.tb03132.x
  5. Chung, C. and Salas, H.D. (2000). 'Drought occurrence probabilities and risks of dependent hydrologic processes,' Journal of Hydrologic Engineering, ASCE, Vol. 5, No. 3, 259-268 https://doi.org/10.1061/(ASCE)1084-0699(2000)5:3(259)
  6. Dracup, J.A., Lee, K.S., and Paulson Jr., E.G. (1980). 'On the definition of droughts,' Water Resources Research, Vol. 16, No. 2, 297-302 https://doi.org/10.1029/WR016i002p00297
  7. Fernandez, B. and Salas, J.D. (1999a). 'Return period and risk of hydrologic events. I. Mathematical formulation,' Journal of Hydrologic Engineering, ASCE, Vol. 4, No. 4, 297-307 https://doi.org/10.1061/(ASCE)1084-0699(1999)4:4(297)
  8. Fernandez, B. and Salas, J.D. (1999b). 'Return period and risk of hydrologic events. II. Applications,' Journal of Hydrologic Engineering, ASCE, Vol. 4, No. 4, 308-316 https://doi.org/10.1061/(ASCE)1084-0699(1999)4:4(308)
  9. Parzen, E. (1962). Stochastic Processes, Holden-Day, U.S.A.
  10. Palmer, W.C. (1965). Meteorological Drought. Research Paper No. 45, U.S. Weather Bureau, Washington, D.C.
  11. Rodriguez-Iturbe, I. (1986). Scale fluctuation of rainfall models, Water Resources Research, Vol. 22, No. 9, pp. 15S-37S https://doi.org/10.1029/WR022i09Sp0015S
  12. Rodriguez-Iturbe, I., Febres De Power, B., and Valdes, J. B. (1987). 'Rectangular pulses point process models for rainfall: Analysis of empirical data,' Journal of Geophysical Research, Vol. 92, No. D8, pp. 9645-9656 https://doi.org/10.1029/JD092iD08p09645
  13. Salas, J.D., Chung, C. and Fernandez, B. (2001). 'Relating autocorrelations and crossing rates of continuous and discrete-valued hydrologic processes,' Journal of Hydrologic Engineering, ASCE, Vol. 6, No. 2, 109-118 https://doi.org/10.1061/(ASCE)1084-0699(2001)6:2(109)
  14. Yevjevich, V. (1967). An objective approach to definitions and investigations of continental hydrologic droughts, Hydrology Papers No. 23, Colorado State University, Fort Collins, USA
  15. Wang, D.-C. and Salas, J.D. (1989). 'Stochastic modeling and generation of droughts,' Hydrologic Engineering '89 Proceedings, ASCE
  16. Wilhite, D.A., and M.H. Glantz (1985). 'Understanding the drought phenomenon : The Role of definition,' Water International, Vol. 10, pp. 111-120 https://doi.org/10.1080/02508068508686328