Journal of Korea Water Resources Association (한국수자원학회논문집)

Korea Water Resources Association (한국수자원학회)
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Evaluation of Agricultural Drought Prevention Ability Based on EOF Analysis and Multi-variate Time Series Model

EOF 해석 및 다변량시계열 모형을 이용한 농업가뭄 대비능력의 평가

  • 유철상 (고려대학교 사회환경시스템공학과) ;
  • 김대하 (고려대학교 사회환경시스템공학과) ;
  • 김상단 (부경대학교 환경시스템공학부)
  • Published : 2006.07.01
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Abstract

In this study 3-month SPI data from 59 stations over the Korean peninsula are analyzed by deriving and spatially characterizing the EOFs. Also, the coefficient time series of EOF are applied to the multi-variate time series model to generate the time series of 10,000 years, to average them to estimate the areal average, and to decide the maximum drought severity for given return periods. Finally, the drought prevention ability is evaluated by considering the effective storage of dam within the basin and the size of agricultural area. Especially for the return period of 30 years, only the Han river basin has the potential to overcome the drought. Other river basins like the Youngsan river basin, which has a large portion of agricultural area but less water storage, are found to be very vulnerable to the rainfall-sensitive agricultural drought.

본 연구에서는 전국 59개 지점의 3개월 SPI 자료를 가지고 EOF를 유도하고 아울러 그 공간적 특성을 분석하였다. 또한 EOF 해석에 의해 나타난 Coefficient Time Series를 다변량 시계열 모형에 적용하여 SPI 시계열을 자료기간 10,000년으로 확장하였고 전국적인 가뭄심도를 판단하기 위해 전국 평균 지수를 이용하여 재현기간별 최대심도를 결정하였다. 마지막으로 각 대권역의 댐 유효저수량과 농경지 면적을 이용하여 농업가뭄 대비능력을 판단하였는데 재현기간 30년 가뭄에 적절히 대비할 수 있는 이수능력을 갖춘 유역은 한강유역이 유일한 것으로 파악되었다. 특히 영산강 유역은 큰 농경지 면적에 비해 저수용량이 크게 부족한 것으로 파악되었고 강우량의 크기에 민감한 농업가뭄에 가장 취약할 것으로 나타났다.

Keywords

References

  1. 건설교통부 (2002). 2001년 가뭄기록조사 보고서
  2. 경기개발연구원 (2004). 경기북부 농업가뭄현황 감시 기법 연구
  3. 신현석, 박무종 (1999). '신경망을 이용한 우리나라의 시공간적 가뭄의 해석' 한국수자원학회논문집, 제 32권, 제1호, pp. 15-29
  4. 유원희 (2000). 유출량 계열을 이용한 가뭄지수 산정, 석사학위논문, 인하대학교
  5. 유철상, 김대하 (2006). '구형펄스모형을 이용한 가뭄사 상의 평가.' 한국수자원학회논문집, 제39권, 제4호, pp. 373-382 https://doi.org/10.3741/JKWRA.2006.39.4.373
  6. 유철상, 안재현, 류소라 (2004). '포아송과정을 이용한 가뭄의 공간분포 분석', 한국수자원학회논문집, 제37권, 제10호, pp813-822 https://doi.org/10.3741/JKWRA.2004.37.10.813
  7. 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)
  8. 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
  9. Chatfield, C. (2004). The analysis of time series: An introduction 6th Edition. Chapter 13. Chapman & Hall/CRC
  10. Chiew, F.H.S., Piechota, T. C,, Dracup, J. A,, and McMc'lhon, T. A. (1998). 'El Nino/Southern oscillation and Australian rainfall, streamflow and drought: Links and potential for forecasting.' Journal of Hydrology, Vol. 204, pp. 138-149 https://doi.org/10.1016/S0022-1694(97)00121-2
  11. 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, pp, 259-268 https://doi.org/10.1061/(ASCE)1084-0699(2000)5:3(259)
  12. Clausen, B. and Pearson, C. P. (1995). 'Regional frequency analysis of annual maximum streamflow drought. ' Journal of Hydrology, Vol. 173, pp. 111-130 https://doi.org/10.1016/0022-1694(95)02713-Y
  13. Dracup, J. A,, Lee, K. S., and Paulson Jr., E. G. (1980). 'On the definition of droughts.' Water Resources Research, Vol. 16, No.2, pp. 297-302 https://doi.org/10.1029/WR016i002p00297
  14. 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, pp. 297-307 https://doi.org/10.1061/(ASCE)1084-0699(1999)4:4(297)
  15. Fernandez, B. and Salas, J.D. (1999b). 'Return period and risk of hydrologic events. Il. Applications.' Journal of Hydrologic Engineering, ASCE, Vol. 4, No.4, pp. 308-316 https://doi.org/10.1061/(ASCE)1084-0699(1999)4:4(308)
  16. Guttman, N. B. (1999). 'Accepting the standardized precipitation index: A calculation algorithm' Journal of the American Water Resources Association, Vol. 35, No.2, pp. 311-322 https://doi.org/10.1111/j.1752-1688.1999.tb03592.x
  17. Henriques, A. G. and Santos, M. J. J. (1999). 'Regional drought distribution model.' Physical, Chemical & Earth Sciences (B), Vol. 24, No. 1-2, pp. 19-22 https://doi.org/10.1016/S1464-1895(98)00005-2
  18. Karl, T. R. (1983). 'Some spatial characteristics of drought duration in the United States.' Journal of Climate and Applied Meteorology, Vol. 22, pp. 1356-1366 https://doi.org/10.1175/1520-0450(1983)022<1356:SSCODD>2.0.CO;2
  19. Kim, K Y. (1996). 'Sensitivity of a linear detection procedure to the accuracy of empirical orthogonal functions.' Journal of Geophysical Research, Vol. 101, No. D18, pp. 23423-23432 https://doi.org/10.1029/96JD02383
  20. Kim, K. Y. and North, G. R. (1993). 'EOF analysis of surface temperature field in a stochastic climate modeL' Journal of Climate, Vol, 6, No.9. pp. 1681-1690 https://doi.org/10.1175/1520-0442(1993)006<1681:EAOSTF>2.0.CO;2
  21. Kutzbach, J. (1957) 'Empirical Eigenvectors of Sea Level Pressure, Surface Temperature and Precipitation Complexes over North America.' Journal of Applied Meteorology, Vol. 6, pp. 791-802 https://doi.org/10.1175/1520-0450(1967)006<0791:EEOSLP>2.0.CO;2
  22. McKee, T. B., Doesken, N. J, and Kleist, J. (1993). 'The relationship of drought frequency and duration to time scales.' Preprints, 8th Conference on Applied Climatology, 17-22 January, Anaheim, CA, 179-184
  23. Palmer, W. C. (965) Meteorological Drought. Research Paper No. 45, U.S. Weather Bureau, Washington, D.C
  24. Piechota, T. C. and Dracup, J. A. (1996) 'Drought and regional hydrologic variation in the United States: Association with the El Nino-Southern Oscillation.' Water Resources Research, Vol. 32, No.5, pp. 1359-1373 https://doi.org/10.1029/96WR00353
  25. 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, pp. 109-118 https://doi.org/10.1061/(ASCE)1084-0699(2001)6:2(109)
  26. Shin, H. S. and Salas, J. D. (2000) 'Regional drought analysis based on neural networks.' Journal of Hydrologic Engineering, ASCE, Vol. 5, No.2, pp. 145-155 https://doi.org/10.1061/(ASCE)1084-0699(2000)5:2(145)
  27. Singh, S. V. and Kripalani, R. H. (1986). 'Application of extended empirical orthogonal function analysis to interrelationships and sequential evolution of monsoon fields, Monthly Weather Review, Vol. 114, pp. 1603-1610 https://doi.org/10.1175/1520-0493(1986)114<1603:AOEEOF>2.0.CO;2
  28. Tiao, G. C. and Box, G. E. P. (1981) 'Modeling Multiple Time Series with Applications.' Journal of the American Statistical Association, Vol 76, No. 376, pp. 802-816 https://doi.org/10.2307/2287575
  29. Wagner, D., Ruppecht, E., and Simmer, C. A. (1990). 'A combination of microwave observations from satellites and an EOF analysis to retrieve vertical humidity profiles over the ocean.' Journal of Applied Meteorology, Vol 29, pp. 1142-1157 https://doi.org/10.1175/1520-0450(1990)029<1142:ACOMOF>2.0.CO;2
  30. Wallace, J. M. and Dickinson, R. (1972). 'Empirical Orthogonal Representation of Time Series in the Frequency Domain, Part I: Theoretical Consideration.' Journal of Applied Meteorology, Vol. 11, pp. 887-892 https://doi.org/10.1175/1520-0450(1972)011<0887:EOROTS>2.0.CO;2
  31. Wang, D.-C. and Salas, J. D. (1989) 'Stochastic modeling and generation of droughts.' Hydrologic Engineering 89 Proceedings, ASCE
  32. Whilhite, D. A. and Glantz, M. H. (1985). 'Understanding the drought pheonomenon: The Role of definition.' Water International, Vol. 10, pp. 111-120 https://doi.org/10.1080/02508068508686328
  33. Yevjevich, V. (1967) 'An objective approach to definitions and investigations of continental hydrologic droughts.' Hydrology Papers No. 23, Colorado State University, Fort Collins, USA
  34. Yoo, C. and Kim, S. (2004). 'EOF analysis of surface soil moisture field variability.' Advanced in Water Resources, Vol. 27, pp. 831-842 https://doi.org/10.1016/j.advwatres.2004.04.003

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