Abstract

An evaluation of data transformations was made for constructing the reliable spatial models of the greenhouse whitefly (Trialeurodes vaporariorum Westwood) populations in a commercial cherry tomato greenhouse. A Box-Cox power transformation that is useful family of transformations was applied to original data sets. The ability of the transformations to correct for the heterogeneity of variance was tested with Shapiro-Wilk W statistics. After finding the appropriate transformations, empirical variograms were calculated and fitted to spherical model. In this study, the data transformations can stable variogram modeling by means of converting non-normal data to normal. The model was validated with new data set by comparing the deviation between observed and predicted values, using a leave-one-out method. Among the data transformations tested, log$\_$e/ ($\chi$+0.5) and ($\chi$+0.5)$^<$TEX>1/4/ transformations were found to be appropriate at correcting for the heterogeneity of variance. According to the leave-one-out cross validation, the ($\chi$+0.5)$^<$TEX>1/4/ transformation was better than the log$\_$e/ ($\chi$+0.5) transformation. However, both transformations produced a systemic deviation: the predicted mean was always smaller than the observed mean. No transformations were found to be appropriate, when a proportion of empty sample units (no individuals were observed) was higher than 0.2. Moreover, in this study, the abnormal high density of sample units made inappropriate spherical variogram modeling.

주제어

#Box-Cox transformation   #cross validation   #leave-one-out method   #normality   #spherical variogram  

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참고문헌 (31)

1. Bartlett, M.S. 1936. The square root transformation in analysis of variance. Suppl. J. Roy. Stat. Soc. 3: 22-28 
2. Isaaks, E.H. and R.M. Srivastava. 1989. Applied geostatistics. Oxford University Press. NY 
3. Kitanidis, P.K. 1997. Introduction to geostatistics: applications to hydrogeology. Cambridge University Press. NY 
4. Liebhold, A.M., X. Zhang, M.E. Hohn, J.S. Elkinton, M. Ticehurst, G.L. Benson and R.W. Campbell. 1991. Geostatistical analysis of gypsy moth (Lepidoptera: Lymantriidae) egg mass population. Environ. Entomol. 20: 1407-1411 
5. Pedigo, L.P., 2002. Entomology and Pest Management. Macmillian Pub., NY 
6. Srivastava, R.M. and H.M. Parker. 1989. Robust measures of spatial continuity. pp. 295-308, In Geostatistics. Vol. 1., Eds. M. Armstrong. Kluwer Academic, Dordrecht, The Netherlands 
7. Kaluzny, S.P., S.C. Vega, T.P. Cardoso and A.A. Shelly. 1998. S+Spatial Statistics; User's manual for Windows and Unix. Springer. NY 
8. Park, J.-D., D.-I. Kim and U. Park, 1998. Occurrence and within-plant distribution of Trialeurodes vaporariorum (Westwood) and Encarsia formosa (Gahan) in greenhouse. Kor. J. Appl. Entomol. 37: 117-121 
9. Goovaerts, P. 1997. Geostatistics for natural resources evaluation. Oxford University Press. NY 
10. Davis, P.M. 1994. Statistics for describing populations. pp. 33-54, in Handbook of sampling methods for arthropods in agriculture. Eds. L.P. Pedigo and G.D. Buntin, CRC, Boca Raton, FL 
11. Choe, K.R. and J.S. Park, 1983. Effects of low temperature on the development of Trialeurodes vaporariorum (Westwood) (Homoptera: Aleyrodidae). Kor. J. Plant Prot. 22: 233-236 
12. Rossi, R.E., D.J. Mulla, A.G. Journel and E.H. Franz. 1992. Geostatistical tools for modeling and interpreting ecological spatial dependence. Ecol. Monog. 62: 277-314 
13. Box, G.E.P. and D.R. Cox. 1964. An analysis of transformations. J. Roy. Stat. Soc. B26: 211-243 
14. Midgarden, D.G., R.R. Youngman and S.J. Fleuscher. 1993. Spatial analysis of counts of westem com rootworm (Coleoptera: Chrysomilidae) adults on yellow sticky traps in com: geostatistics and dispersion indices. Environ. Entomol. 22: 1124-1133 
15. Wright, R.J., T.A. Devries, L.J. Young, K.J. Jarvi and R.C. Seymour. 2002. Geostatistical analysis of the small-scale distribution of European com borer (Lepidoptera: Crambidae) larvae and damage in whorl stage com. Environ. Entomol. 31: 160-167 
16. K-endall, M.G. and A. Stuart. 1966. The advanced theory of statistics. Vol. 3. Hafher. NY 
17. Kim, J.-K, J.-J. Park, C.H. Pak, H. Park, and K. Cho, 1999. Implementation of yellow sticky trap for management of greenhouse whitefly in cherry tomato greenhouses. J. Kor. Soc. Hort. Sci. 40: 549-553 
18. Schotzko, D.J., and L.E. O'Keeffe. 1989. Geostatistical description of the spatial distribution of Lygus Hesperus (Heteroptera: Miridae) in lentils. J. Econ. Entomol. 82: 1277-1288 
19. Iwao, S. 1968. A new regression method for analyzing the aggregation pattern of animal populations. Res. Popul. Ecol. 10: 1-20 
20. Taylor, L.R. 1961. Aggregation, variance and the mean. Nature 189: 732-735 
21. Cho, K., J.-H. Lee, J.-J. Park, J.-K. Kim and K.B. Uhm. 2001. Analysis of spatial pattern of Frankliniella occidentalis (Thysanoptera: Thripidae) on greenhouse cucumbers using dispersion index and spatial autocorrelation. Appl. Entomol. Zool. 36: 25-32 
22. Cressie, N.A.C. 1993. Statistics for spatial data. John Wiley and Sons. NY 
23. Kim, J.-K- J.-J. Park, H. Park and K. Cho. 2001. Unbiased estimation of greenhouse whitefly, Trialeurodes Vaporariorum, mean density using yellow sticky trap in cherry tomato greenhouses. Entomol. Exp. Appl. 100: 235-243 
24. Shapiro, S.S. and M.B. Wilk. 1965. An analysis of variance test for normality (complete samples). Biometrika 52: 591-611 
25. Papadopoulos, A.P., 1991. Growing greenhouse tomatoes in soil and in soil less media. Agriculture Canada Publication 1865/E. Ottawa, Canada 
26. Bartlett, M.S. 1947. The use of transformations. Biometrics 3: 39-52 
27. Insightful Corporation. 2001. S-PLUS 6 for Windows user's guide. Seattle. WA 
28. Southwood, T.R.E. 1978. Ecological methods. 2nd ed. Chapman and Hall, London 
29. Binns, M.R. and J.P. Nyrop. 1992. Sampling insect population for the purpose of IPM decision making. Annu. Rev. Entomol. 37: 427-453 
30. Gerling, D. and A.R. Horowitz, 1984. Yellow traps for evaluating the population levels and dispersal patterns of Bemisia tabaci (Gennadius) (Homoptera: Aleyrodidae). Ann. Entomol. Soc. Am. 77: 753-759 
31. Zar, J.H. 1999. Biostatistical analysis. 4th ed. Prentice Hall Interational. NJ 

이 논문을 인용한 문헌 (2)

1. 2008. "" Journal of asia-pacific entomology, 11(2): 65~68  원문보기 상세보기
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