Application of population growth models based on cumulative size to pecan aphids

Journal of Agricultural, Biological, and Environmental Statistics

Volumn 11, Issue 4, 2006, Pages 425-449

  Matis, James H ^a   Kiffe, Thomas R ^a   Matis, Timothy I ^b   Stevenson, Douglass E ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

^b Department of Electrical and Computer Engineering   (United States)

Author keywords

Birth death process; Model based analysis; Moment closure approximations

Indexed keywords

ABUNDANCE; APHID; POPULATION DYNAMICS; POPULATION GROWTH; POPULATION MODELING; POPULATION SIZE;

APHIDIDAE; CARYA ILLINOINENSIS;

EID: 33845447929     PISSN: 10857117     EISSN: None     Source Type: Journal    
DOI: 10.1198/108571106X153336     Document Type: Article

References (25)

1. Bailey, N. T. J. (1964), The Elements of Stochastic Processes, New York: Wiley.
2. Banks, J. E., Adams, B. M., Banks, H. T., and Stark, J. D. (2003), "An Alternative to ANOVA: Population Dynamics Models in an Aphid-Broccoli Agroecosystem," Paper at Entomological Society of Ameria 2003 Annual Meeting, Oct. 27.
3. Barlow, N. D., and Dixon, A. F. G. (1980), Simulation of Lime Aphid Population Dynamics, Wageningen, Netherlands: Center for Agricultural Publishing and Documentation.
4. Box, G. E. P. (1979), "Some Problem of Statistics and Everyday Life," Journal of the American Statistical Association, 74, 1-4.
5. Bumroongsook, S. and Harris, M. K. (1991), "Nature of Conditioning Effect on Pecan by Blackmargined Aphid," Southwestern Entomologist, 16, 267-275.
6. Calixto, A. (2004), "Diversity, Population Dynamics and Interactions of Assemblages of Ants (Hymenoptera: Formicidae) in Pecans in Mumford, Robertson Co., Texas," unpublished master's thesis, Texas A&M University, College Station, TX: Department of Entomology.
7. Dixon, A. F. G. (1985), Aphid Ecology, New York: Chapman and Hall.
8. Li, T. Y., and Harris, M. K. (2001), "The Correlation Between the Population Growth of Blackmargined Aphid and Precipitation Over a 13-Year Period (1988-2000) in Adriance Orchard, College Station, TX," Paper at Entomological Society of America 2001 Annual Meeting, Dec. 12, San Diego, CA.
9. Matis, T. I. (2005), Aphid dataset available online at http://webpages.acs.ttu.edu/tmatis/datapage/PecanAphidTAMU.xls.
10. Martis, J. H. and Kiffe, T. R. (1999), "Effects of Immigration on Some Stochastic Logistic Models: A Cumulant Truncation Analysis," Theoretical Population Biology, 59, 139-161.
11. Martis, J. H. and Kiffe, T. R. (2004), "On Stochastic Logistic Population Growth Models with Immigration and Multiple Births," Theoretical Population Biology, 65, 89-104.
12. Martis, J. H. and Kiffe, T. R. (2005), "Predicting the Africanized Bee Invasion," in Statistics, A Guide to the Unknown (4th ed.), eds. R. Peck, G. Casella, G. Cobb, R. Hoerl, D. Nolan, R. Starbuck, and H. Stem, Belmont, CA: Duxbury.
13. Matis, J. H., Kiffe, T. R., and Parthasarathy, P. R. (1998), "On the Cumulants of Population Size for the Stochastic Power Law Logistic Model," Theoretical Population Biology, 53, 16-29.
14. Matis, J. H., Kiffe, T. R., Matis, T. I., and Stevenson, D. E. (2005), "Nonlinear Stochastic Modeling of Aphid Population Growth," Mathematical Biosciences, 198, 148-168.
15. Metcalf, R. L., and Metcalf, R. A. (1995), Destructive and Useful Insects (5th ed.), New York: McGraw-Hill.
16. Michels, G. J., and Behle, R. W. (1989), "Influence of Temperature on Reproduction, Development, and Intrinsic Rate of Increase of Russian Wheat Aphid, Greenbug, and Bird Cherry-Oat Aphid (Homoptera: Aphididae)," Journal of Economic Entomology, 82, 439-444.
17. Neter, J., Kutner, M. H., Nachtsheim, C. J., and Wasserman, W. (1996), Applied Linear Statistical Models (4th ed.), Chicago, IL: Irwin.
18. Petersen, M. K., and Sandstrom, J. P. (2001), "Outcome of Indirect Competition Between Two Aphid Species Mediated by Responses in their Common Most Plant," Functional Ecology, 15, 525-534.
19. Prajneshu (1998), "A Nonlinear Statistical Model for Aphid Population Growth," Journal of the Indian Society Agricultural Statistics, 51, 73-80.
20. R-Project (2006), An Introduction to R, available online at www.r-project.org.
21. Renshaw, E. (1991), Modeling Biological Populations in Space and Time, New York: Cambridge University Press.
22. Stevenson, D. E. (2005), Fruit, Nut, and Vegetable Pest Control, Bulletin B-6169, College Station, TX: Texas Cooperative Extension.
23. SPSS (2002), SPSS 11.0 for Macintosh, Chicago, IL: SPSS Inc.
24. Venette, R., McCornack, B., and Ragsdale, D. (2004), Soybean Aphid Growth Estimator: The SAGE Model, available online at www.soybeans.umn.edu/crop/insects/aphid/aphid_sagemodel.htm.
25. Young, L. J., and Young, J. H. (1998), Statistical Ecology, Boston, MA: Kluwer.