Browse > Article
http://dx.doi.org/10.3741/JKWRA.2007.40.12.943

On the Variations of Spatial Correlation Structure of Rainfall  

Kim, Kyoung-Jun (Department of Civil and Environmental Engineering, Korea University)
Yoo, Chul-Sang (Department of Civil and Environmental Engineering, Korea University)
Publication Information
Journal of Korea Water Resources Association / v.40, no.12, 2007 , pp. 943-956 More about this Journal
Abstract
Among various statistics, the spatial correlation function, that is "correlogram", is frequently used to evaluate or design the rain gauge network and to model the rainfall field. The spatial correlation structure of rainfall has the significant variation due to many factors. Thus, the variation of spatial correlation structure of rainfall causes serious problems when deciding the spatial correlation function of rainfall within the basin. In this study, the spatial rainfall structure was modeled using bivariate mixed distributions to derive monthly spatial correlograms, based on Gaussian and lognormal distributions. This study derived the correlograms using hourly data of 28 rain gauge stations in the Keum river basin. From the results, we concluded as following; (1) Among three cases (Case A, Case B, Case C) considered, the Case A(+,+) seems to be the most relevant as it is not distorted much by zero measurements. (2) The spatial correlograms based on the lognormal distribution, which is theoretically as well as practically adequate, is better than that based on the Gaussian distribution. (3) The spatial correlation in July exponentially decrease more obviously than those in other months. (4) The spatial correlograms should be derived considering the temporal resolution(hourly, daily, etc) of interest.
Keywords
spatial correlation function; mixed distribution; gaussian distribution; lognormal distribution;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 Yoo, C., Valdes, J.B., and North, G.R. (1996). 'Stochastic modeling of multi-dimensional rainfall fields considering spectral structure.' Water Resources Research, Vol. 32, pp. 2175-2187   DOI   ScienceOn
2 Finnerty, B.D., Smith, M.B., Seo, D.J., Koren, V., and Moglen, G.E. (1997). 'Space-time scale sensitivity of the Sacramento model to radar-gauge precipitation inputs.' Journal of Hydrology, Vol. 203, pp. 21-38   DOI   ScienceOn
3 Shimizu, K., and Sagae, M. (1990). 'Modeling bivariate data containing zeros, with an analysis of daily rainfall data.' Japanese Journal of Applied Statistics, Vol. 19, pp. 19-31   DOI
4 Valdes, J.B., Ha, E., Yoo, C., and North, G.R. (1994). 'Stochastic characterization of space-time precipitation: Implications for remote sensing.' Advances in Water Resources, Vol. 17, pp. 47-59   DOI   ScienceOn
5 Woods, R., and Sivapalan, M. (1999). 'A synthesis of space-time variability in storm response: Rainfall, runoff generation, and routing.' Water Resources Research, Vol. 35, pp. 2469-2485   DOI
6 Yoo, C., and Ha, E. (2007). 'Effect of zero measurements on the spatial correlation structure of rainfall.' Stochastic Environmental Research and Risk Assessment, Vol. 21, pp. 289-297   DOI
7 유철상, 김인배, 류소라 (2003). '우량계의 밀도 및 공간분포 검토: 남한강 유역을 중심으로.' 한국수자원학회논문집, 한국수자원학회, 제36권, 제2호, pp. 173-181   과학기술학회마을
8 유철상, 하은호, 김경준 (2006). '강우의 공간상관구조에 대한 무강우자료의 영향.' 한국수자원학회논문집, 한국수자원학회, 제39권, 제2호, pp. 127-138   과학기술학회마을   DOI
9 Arnaud, P., Bouvier, C., Cisneros, L., and Dominguez, R. (2002). 'Influence of rainfall spatial variability on flood prediction.' Journal of Hydrology, Vol. 260, pp. 216-230   DOI   ScienceOn
10 Eagleson, P.S. (1972). 'Dynamics of flood frequency.' Water Resources Research, Vol. 8, pp. 878-898   DOI
11 Graves, C.E., Valdes, J.B., Shen, S.S.P., and North, G.R. (1993). 'Evaluation of sampling errors of rainfall from space-borne and ground sensors.' Journal of Applied Meteorology, Vol. 32, pp. 374-384   DOI
12 Ha, E., and Yoo, C. (2007). 'Use of mixed bivariate distributions for deriving inter-station correlation coefficients of rainfall.' Hydrological Processes, Vol. 21, pp. 3078-3086   DOI   ScienceOn
13 Houze, R.A., and Cheng, C.P. (1977). 'Radar characteristics of tropical convection observed during GATE: Mean properties and trends over the summer season.' Monthly Weather Review, Vol. 105, pp. 964-980   DOI
14 Mostafa, M.D., and Mahmoud, M.W. (1964). 'On the problem of estimation for the bivariate log-normal distribution.' Biometrica, Vol. 51, pp. 522-527   DOI
15 North, G.R., Shen, S.S.P., and Upson, R.B. (1991). 'Combing rain gages with satellite measurements for optimal estimates of area-time averaged rain rate.' Water Resources Research, Vol. 27, pp. 2795-2790   DOI
16 건설교통부 (2004). 한강유역조사 수리.수문조사 보고서 제1편 수문관측망조사, 연구보고서
17 기상청 (1980-2004). 기상월보 (6월, 7월, 8월, 9월, 10월)
18 김성렬, 양진석 (1995). '한국의 온대저기압성 강수지역 구분.' 한국지역지리학회지, 한국지역지리학회, 제1권, 제1호, pp. 45-60
19 김웅태, 이동률, 김선권, 이시현(2000). '군집분석을 이용한 동질 강수지역 구분.' 한국수자원학회 학술발표회 논문집, 한국수자원학회, pp. 75-78
20 문영수 (1990). '클러스터분석에 의한 한국의 강수지역 구분.' 한국기상학회지, 한국기상학회, 제26권, 제4호, pp. 203-215
21 박정규, 이승만 (1993). '연강수량에 의한 남한의 강수지역구분.' 한국기상학회지, 한국기상학회, 제29권, 제2호, pp. 117-126