Determination of Proper Probability Distribution for Groundwater Monitoring Stations in Jeju Island

doi:10.7857/JSGE.2018.23.1.041

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2018 Vol.23, Issue 1 Preview Page Next Page

Determination of Proper Probability Distribution for Groundwater Monitoring Stations in Jeju Island 제주도 지하수위 관측지점별 적정 확률분포형의 결정: 정일문;남우성;김민규;최지안;김기표;박윤석;
Chung, Il-Moon;Nam, Woosung;Kim, Min Gyu;Choi, Gian;Kim, Gee-Pyo;Park, Yun-Seok;

28 February 2018. pp. 41 ~ 53

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Abstract

Comprehensive statistical analysis for the 127 groundwater monitoring stations in Jeju Island during 2005~2015 was carried out for the re-establishment of management groundwater level. Three probability distribution functions such as normal distibution, GEV (General Extreme Value) distribution, and Gumbel distribution were applied and the maximum likelihood method was used for parameter estimation of each distribution. AIC (Akaike information criterion) was calculated based on the estimated parameters to determine the proper probability distribution for all 127 stations. The results showed that normal distribution and Gumble distribution were found in 11 stations. Whereas GEV distribution were found in 105 stations, which covered most of groundwater monitoring stations. Therefore, confidence levels should be established in accord with the proper probability distribution when groundwater level management is determined.

Keywords

Jeju Island;Management groundwater level;Probability distribution;

References

Akaike, H., 1973, Information theory and an extension of the maximum likelihood principle, in Petrov, B.N.; Csaki, F., 2nd International Symposium on Information Theory, Akademiai Kiado, Budapest, p. 267-281.
Gilleland, E., Ribatet, M., and Stephenson, A.G., 2013, A software review for extreme value analysis, Extremes, 16(1), 103-119.10.1007/s10687-012-0155-0
Jeju Special Self-Governing Province, 2013, Comprehensive planning of water resources in Jeju Special Self-Governing Province, p.366.
Kim, G.-B., Cha, E.-J., Jeong, H.-G., and Shin, K.-H., 2013, Comparison of time series of alluvial groundwater levels before and after barrage construction on the lower Nakdong River, J. of Eng. Geol., 23(2), 105-115.10.9720/kseg.2013.2.105
Kim, J.-W., Koh, G.-W., Won, J.-H., and Han, C., 2005, A study on the determination of management of groundwater level on Jeju Island, J. Soil Groundw. Environ., 10(2), 12-19.
Kullback, S. and Leibler, R.A., 1951, On information and sufficiency, Ann. Math. Stat. 22(1), 79-86.10.1214/aoms/1177729694
Mood, A.M., Graybill, F.A., and Boes, D.C., 1974, Introduction to the Theory of Statistics, 3rd Ed., McGraw-Hill, U.S.A.
Park, W.-B., Koh, G.-W., Kim, B.-S., Moon, D.-C., and Yang, S.-K., 2004, Estimation of agricultural groundwater withdrawal and characteristics of groundwater use in Jeju Island, Proceedings of KoSSGE 2004 Spring Conference, 110-113.

Information

Publisher :The Korean Society of Soil and Groundwater Environment
Publisher(Ko) :한국지하수토양환경학회
Journal Title :Journal of Soil and Groundwater Environment
Journal Title(Ko) :지하수토양환경
Volume : 23
No :1
Pages :41 ~ 53
DOI :https://doi.org/10.7857/JSGE.2018.23.1.041

[1] Akaike, H., 1973, Information theory and an extension of the maximum likelihood principle, in Petrov, B.N.; Csaki, F., 2nd International Symposium on Information Theory, Akademiai Kiado, Budapest, p. 267-281.

[2] Gilleland, E., Ribatet, M., and Stephenson, A.G., 2013, A software review for extreme value analysis, Extremes, 16(1), 103-119.10.1007/s10687-012-0155-0

[3] Jeju Special Self-Governing Province, 2013, Comprehensive planning of water resources in Jeju Special Self-Governing Province, p.366.

[4] Kim, G.-B., Cha, E.-J., Jeong, H.-G., and Shin, K.-H., 2013, Comparison of time series of alluvial groundwater levels before and after barrage construction on the lower Nakdong River, J. of Eng. Geol., 23(2), 105-115.10.9720/kseg.2013.2.105

[5] Kim, J.-W., Koh, G.-W., Won, J.-H., and Han, C., 2005, A study on the determination of management of groundwater level on Jeju Island, J. Soil Groundw. Environ., 10(2), 12-19.

[6] Kullback, S. and Leibler, R.A., 1951, On information and sufficiency, Ann. Math. Stat. 22(1), 79-86.10.1214/aoms/1177729694

[7] Mood, A.M., Graybill, F.A., and Boes, D.C., 1974, Introduction to the Theory of Statistics, 3rd Ed., McGraw-Hill, U.S.A.

[8] Park, W.-B., Koh, G.-W., Kim, B.-S., Moon, D.-C., and Yang, S.-K., 2004, Estimation of agricultural groundwater withdrawal and characteristics of groundwater use in Jeju Island, Proceedings of KoSSGE 2004 Spring Conference, 110-113.

Journal of Soil and Groundwater Environment ISSN:1598-6438(Print) 2287-8831(Online) 지하수토양환경

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