Logistic mixture of multivariate regressions for analysis of water quality impacted by agrochemicals

Environmetrics

Volumn 18, Issue 5, 2007, Pages 499-514

  Joo, Yongsung ^a   Lee, Keunbaik ^b   Min, Joong Hyuk ^c   Yun, Seong Taek ^d   Park, Trevor ^b  

^a UNIVERSITY OF FLORIDA   (United States)

^b Korea University ^*  (United States)

^c University of Florida   (United States)

^d Korea University   (South Korea)

Author keywords

Agricultural pollution; ECM; Mixture of normal distributions; Mixture of regressions; Model based clustering; Water quality

Indexed keywords

AGRICULTURAL RUNOFF; AGROCHEMICAL; CLUSTER ANALYSIS; FERTILIZER APPLICATION; HYDROLOGICAL MODELING; LIME; MULTIVARIATE ANALYSIS; NITRATE; PHYSICOCHEMICAL PROPERTY; REGRESSION ANALYSIS; WATER POLLUTION; WATER QUALITY;

EID: 34447536202     PISSN: 11804009     EISSN: 1099095X     Source Type: Journal    
DOI: 10.1002/env.820     Document Type: Article

References (34)

1. Basford KE, McLachlan GJ. 1985. Likelihood estimation with normal mixture models. Applied Statistics 34: 282-289.
2. Basford KE, Greenway DR, McLachlan GJ, Peel D. 1997. Standard errors of fitted means under normal mixture models. Computational Statistics 12: 1-17.
3. Bohlke JK, Denver JM. 1995. Combined use of groundwater dating, chemical, and isotopic analyses to resolve the history and fate of nitrate contamination in two agricultural watersheds, Atlantic coastal plain, Maryland. Water Resources Research 31(9): 2319-2339.
4. Borgmann U, Nowierski M, Dixon DG. 2005. Effect of major ions on the toxicity of copper to Hyalella azteca and implications for the biotic ligand model. Aquatic Toxicology 73: 268-287.
5. Canter LW. 1997. Nitrates in Groundwater. Lewis Publication: FL; 263.
6. Chae G-T, Kim K, Yun S-T, Kim K-H, Kim S-O, Choi B-Y, Kim H-S, Rhee C. 2004. Hydrogeochemistry of alluvial groundwaters in an agricultural area: an implication for groundwater contamination susceptibility. Chemosphere 55: 369-378.
7. Chen J, Wang F, Xie X, Zhang L. 2002. Major element chemistry of the Changjiang (Yangtze River). Chemical Geology 187: 231-255.
8. Dempster AP, Laird NM, Rubin DB. 1977. Maximum likelihood from incomplete data via the EM algorithm (with discussion). Journal of the Royal Statistical Society, Series B 39: 1-22.
9. Drever JI. 1997. The Geochemistry of Natural Waters, 3rd edn. Prentice Hall: New Jersey; 437 p.
10. Everitt BS. 1984. Maximum likelihood estimation of the parameters in a mixture of two univariate normal distributions; a comparison of different algorithms. The Statistician 33: 205-215.
11. Hagiwara K, Kuno K, Usui S. 2000. On the problem in model selection of neural network regression in overrealizable scenario Neural Networks, 2000. IJCNN 2000, Proceedings of the IEEE-INNS-ENNS International Joint Conference on 6: 461-466.
12. Hallberg GR, Keeney DR, 1993. Nitrate. In Regional Ground-Water Quality, Alley WM (ed.). Van Nostrand Reinhold: New York.
13. Hamilton PA, Helsel DR. 1995. Effects of agriculture on ground-water quality in five regions of the United States. Ground Water 33(2): 217-226.
14. Hendry MJ, Gillham RW, Cherry JA. 1983. An integrated approach to hydrogeologic investigations in case history. Journal of Hydrology 63: 211-232.
15. Jeffries N, Pfeiffer R. 2000. A mixture model for the probability distribution of rain rate. Environmetrics 12: 1-10.
16. Johnson RA, Wichern DW. 2002. Applied Multivariate Statistical Analysis. Prentice Hall: Upper Saddle River.
17. Kraft GJ, Stites W, 2003. Nitrate impacts on groundwater from irrigated-vegetable systems in a humid north-central US sand plain. Agriculture, Ecosystems & Environment 100(1): 63-64.
18. Kraft GJ, Stites W, Mechenich DJ. 1999. Impacts of irrigated vegetable agriculture on a humid north-central US sand plain aquifer. Ground Water 37(4): 572-580.
19. Louis T. 1982. Finding the observed information matrix when using the EM algorithm. Journal of the Royal Statistical Society, Series B 44: 226-233.
20. McLachlan G. 1987. On bootstrapping the likelihood ratio test statistic for the number of components in a normal mixture. Journal of the Royal Statistical Society, Series C 36: 318-324.
21. Meng X, Rubin D. 1991. Using EM to obtain asymptotic variance-covariance matrices: the SEM algorithm. Journal of the American Statistical Association 86: 899-909.
22. Meng X, Rubin D. 1993. Maximum likelihood estimation via the ECM algorithm: a general framework. Biometrika 80: 267-278.
23. Miloslavsky M, Van der Laan MJ. 2003. Fitting of mixtures with unspecified number of components using cross validation distance estimate. Computational Statistics and Data Analysis 41: 413-428.
24. Min J-H, Yun S-T, Kim K, Kim H-S, Hahn J, Lee K-S. 2002. Nitrate contamination of alluvial groundwaters in the Nakdong River basin, Korea. Geosciences Journal 6(1): 35-46.
25. Min J-H, Yun S-T, Kim K, Kim H-S, Kim D-J. 2003. Geologic controls on the chemical behavior of nitrate in riverside alluvial aquifers, Korea. Hydrological Processes 17: 1197-1211.
26. Oaks D. 1999. Direct calculation of the information matrix via the EM algorithm. Journal of the Royal Statistical Society, Series B 61: 479-482.
27. Onsoy YS, Harter T, Ginn TR, Horwath WR. 2005. Spatial variability and transport of nitrate in a deep alluvial vadose zone. Vadose Zone Journal 4(1): 41-54.
28. Park S-C, Yun S-T, Chae G-T, Yoo I-S, Shin K-S, Heo C-H, Lee S-K. 2005. Regional hydrochemical study on salinization of coastal aquifers, western coastal area of South Korea. Journal of Hydrology 313: 182-194.
29. Razzaghi M. 2002. The use of distribution mixtures for dose-response modeling in toxicological experiments. Environmetrics 13: 657-667.
30. Spalding RF, Exner ME. 1993. Occurrence of nitrate in groundwater. Journal of Environmental Quality 22(3): 392402.
31. Stites W, Kraft GJ. 2001. Nitrate and chloride loading to groundwater from an irrigated North-Central U.S. Sand-Plain vegetable field. Journal of Environmental Quality 30: 1176-1184.
32. Turner TR. 2000. Estimating the rate of spread of a viral infection of potato plants via mixtures of regressions. Applied Statistics 49(3): 371-384.
33. Wilks SS. 1938. The large-sample distribution of the likelihood ratio for testing composite hypotheses. Annals of Mathematical Statistics 9: 60-62.
34. Xue L, Fu JC, Wang F, Wang L. 2005. A mixture model approach to analyzing major element chemistry data of the Changjiang (Yangtze River). Environmetrics 16: 305-318.