An age-structured population model of citrus rust mite: A fruit-mite-fungal pathogen system

Ecological Modelling

Volumn 104, Issue 1, 1997, Pages 71-85

  Yang, Y ^a,d   Allen, J C ^a   Knapp, J L ^b   Stansly, P A ^c  

^a UNIVERSITY OF FLORIDA   (United States)

^b UNIVERSITY OF FLORIDA   (United States)

^c SW Research and Education Center ^*  (United States)

^d TEXAS A AND M UNIVERSITY   (United States)

Author keywords

Age structure; Hirsutella thompsonii; Phyllocoptruta oleivora; Population model; Stage structure

Indexed keywords

AGE-STRUCTURED MODEL; CITRUS RUST MITE; FUNGAL PATHOGEN; HOST-PATHOGEN INTERACTION; POPULATION MODEL;

ACARI; ERIOPHYIDAE; HIRSUTELLA THOMPSONII; PHYLLOCOPTRUTA OLEIVORA;

EID: 0031459051     PISSN: 03043800     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3800(97)00119-1     Document Type: Article

References (61)

1. Allen, J.C., 1976. A model for predicting citrus rust mite damage on Valencia orange fruit. Environ. Entomol. 5 (6), 1083-1088.
2. Allen, J.C., 1978. The effect of citrus rust mite damage on citrus fruit drop. J. Econ. Entomol. 71, 746-750.
3. Allen, J.C., 1979. The effect of citrus rust mite damage on citrus fruit growth. J. Econ. Entomol. 72, 195-201.
4. Allen, J.C., 1981. The citrus rust mite game: a simulation model of pest losses. Environ. Entomol. 10, 171-176.
5. Allen, J.C., McCoy, C.W., 1979. The thermal environment of the citrus rust mite. Agric. Meteor. 20, 411-425.
6. Allen, J.C., Yang, Y., Knapp, J.L., Stansly, P.A., 1994. The citrus rust mite story: A modelling approach to a fruit-mite-pathogen system. In: Rosen, D., Bennett, F., Capinera, J. (Eds.), Pest management in the subtropics: Biological control - a Florida perspective. Intercept, Andover, UK , pp. 619-639.
7. Allen, J.C., Yang, Y., Knapp, J.L., 1995. Temperature effects on development and fecundity of the citrus rust mite (Acari: Eriophyidae). Environ. Entomol. 24 (5), 996-1004.
8. Beck, S.D., 1983. Insect thermoperiodism. Ann. Rev. Entomol. 28, 91-108.
9. Berry, I.L., Stinner, R.E., 1992. Computer development of insect population models. In: Goodenough, J.L., Mckinion, J.M. (Eds.), Basics of Insect Modeling. ASAE Monograph Number 10, St. Joseph, Minnesota, pp. 53-73.
10. Campbell, A., Frazer, B.D., Gilbert, N., Gutierrez, A.P., Mackauer, M., 1974. Temperature requirements of some aphids and their parasites. J. Appl. Ecol. 11, 431-438.
11. Carisse, O., Kushalappa, A.C., Cloutier, D.C., 1993. Influence of temperature, leaf wetness, and high relative humidity duration on sporulation of Cercospora carotae on carrot leaves. Phytopathology 83 (3), 338-343.
12. Caswell, H., 1989. Matrix Population Models: Construction, Analysis, and Interpretation. Sinauer Associates, Sunderland, Massachusetts.
13. Chi, H., Liu, H., 1985. Two new methods for the study of insect population ecology. Acad. Sin. Bull. Inst. Zool. 24 (2), 225-240.
14. Commonwealth Institute of Entomology, 1970. Distribution maps of pests. Series A (Agricultural), Map no. 78 (revised). Commonwealth Institute of Entomology, London.
15. Davidson, R.H., Lyon, W.F., 1987. Insect Pests of Farm, Garden, and Orchard. Wiley, New York.
16. Filajdic, N., Sutton, T.B., 1992. Influence of temperature and wetness duration on infection of apple leaves and virulence of different isolates of Alternaria mali. Phytopathology 82 (11), 1279-1283.
17. Fuxa, J.R., 1987. Ecological considerations for the use of entomopathogens in IPM. Ann. Rev. Entomol. 32, 225-251.
18. Gerson, U., Kenneth, R., Muttath, T.I., 1979. Hirsutella thompsonii, a fungal pathogen of mites II. Host-pathogen interactions. Ann. Appl. Biol. 91, 29-40.
19. Gutierrez, A.P., 1996. Applied Population Ecology: A Supply-Demand Approach. Wiley, New York.
20. Hall, D.G., Childers, C.C., Eger, J.E., 1991. Estimation citrus rust mite (Acari: Eriophyidae) levels on fruit in individual citrus trees. Environ. Entomol. 20 (1), 382-390.
21. Hardman, J.M., 1989. Model simulating the use of miticides to control European red mite (Acarina: Tetranychidae) in Nova Scotia apple orchards. J. Econ. Entomol. 82 (5), 1411-1422.
22. Hassell, M.P., 1978. The Dynamics of Arthropod Predator-Prey Systems. University Press, Princeton, New Jersey.
23. Hobza, R.F., Jeppson, L.R., 1974. A temperature and humidity study of citrus rust mite employing a constant humidity air-flow technique. Environ. Entomol. 3 (5), 813-822.
24. Hogg, D.B., 1985. Potato leafhopper (Homoptera: Cicadellidae) immature development, life tables, and population dynamics under fluctuating temperature regimes. Environ. Entomol. 14, 349-355.
25. Jones, J.W., Lloyd, E.P., Stinner, R.E., 1977. Insect population mortality: a dynamic model of insecticide effectiveness. Environ Entomol. 6 (6), 799-803.
26. Keen, R.E., Spain, J.D., 1992. Computer Simulation in Biology: A Basic Introduction. Wiley-Liss, New York.
27. Kenneth, R., Muttath, T.I., Gerson, U., 1979. Hirsutella thompsonii, a fungal pathogen of mites. I. Biology of the fungus in vitro. Ann. Appl. Biol. 91, 21-28.
28. Kvalseth, T.O., 1985. Cautionary note about RZ. Am. Statist. 39 (4), 279-285.
29. Leslie, P.H., 1945. On the use of matrices in certain population mathematics. Biometrika 33, 183-212.
30. Leslie, P.H., 1948. Some further notes on the use of matrices in population mathematics. Biometrika 35, 213-245.
31. Lewis, E.G., 1942. On the generation and growth of a population. Sankhya: Ind. J. Stat. 6, 93-96.
32. Liu, L., Cohen, J.E., 1987. Equilibrium and local stability in a logistic matrix model for age-structured populations. J. Math. Biol. 25, 73-88.
33. Manly, B.F.J., 1990. Stage-Structured Populations: Sampling, Analysis, and Simulation. Champan and Hall, London, New York.
34. MathWorks, 1992. Matlab: High-Performance Numeric Computation and Visualization Software. Natick, Massachusetts.
35. Mathieu, D., Kushalappa, A.C., 1993. Effects of temperature and leaf wetness duration on the infection of celery by Septoria apiicola. Phytopathology 83 (10), 1036-1040.
36. McCoy, C.W., 1978. Entomopathogens in arthropod pest control programs for citrus. In: Allen, G.E., Ignoffo, C.M., Jaques, R.P. (Eds.), Microbial Control of Insect Pests: Future strategies in pest management systems. NSF-USDA, Univ. of Florida, Gainesville, pp. 211-224.
37. McCoy, C.W., 1979. Migration and development of citrus rust mite on the spring flush of 'Valencia' orange. Proc. Fla. State Hort. Soc. 92, 48-51.
38. McCoy, C.W., 1981. Pest control by the fungus Hirsutella thompsonii. In: Burges, H.D. (Ed.), Microbial Control of Pests and Plant Diseases 1970-1980. Academic press, London, pp. 499-512.
39. Nicholson, A.J., Bailey, V.A., 1935. The balance of animal populations. Proc. Zool. Soc. Lond. 3, 551-598.
40. Onstad, D.W., Carruthers, R.I., 1990. Epizootiological models of insect diseases. Ann. Rev. Entomol. 35, 399-419.
41. Peña, J.E., Baranowski, R.M., 1990. Dispersion indices and sampling plans for the broad mite (Acari: Tarsonemidae) and The citrus rust mite (Acari: Eriophyidae) on limes. Environ. Entomol. 19 (2), 378-382.
42. Pielou, E.C., 1977. Mathematical Ecology. A Wiley-Interscience Publication, Wiley, New York.
43. Renshaw, E., 1991. Modelling Biological Population in Space and Time. Cambridge University Press, Cambridge.
44. Roltsch, W.J., Maysse, M.A., Clausen, K., 1990. Temperature-dependent development under constant and fluctuating temperatures: Comparison of linear versus nonlinear methods for modeling development of western grapeleaf skeletonizer (Lepidoptera: Zygaenidae). Environ. Entomol. 19 (6), 1689-1697.
45. Sandberg, S., Awerbuch, T.E., Spielman, A., 1992. A comprehensive multiple matrix model representing the life cycle of the tick that transmits the agent of lyme disease. J. Theor. Biol. 157 (2), 203-220.
46. Shimada, M., Tuda, M., 1996. Delayed density dependence and oscillatory population dynamics in overlapping-generation systems of a seed beetle Callosobruchus chinensis: matrix population model. Oecologia 105 (1), 116-125.
47. Stearns, S.D., David, R.A., 1996. Signal Processing Algorithms in MATLAB. Prentice Hall, N.J.
48. Swirski, E., 1962. Contribution to the knowledge of the fluctuations in population of the citrus rust mite (Phyllocoptruta oleivora Ashm.) in the coastal plain of Israel. Israel. J. Agric. Res. 12 (4), 175-187.
49. Tamm, L., Fluckiger, W., 1993. Influence of temperature and moisture on growth, spore production, and conidial germination of Monilinia laxa. Phytopathology 83 (12), 1321-1326.
50. Tanada, Y., Kaya, H.K., 1993. Insect Pathology. Academic Press, New York.
51. Taylor, P.S., Shields, E.J., 1990. Development of the army-worm (Lepidoptera: Noctuidae) under fluctuating daily temperature regimes. Environ. Entomol. 19 (5), 1422-1431.
52. Van Brussel, E.W., 1975. Interrelations between citrus rust mite, Hirsutella thompsonii and greasy spot on citrus in Surinam. Landbouwproefstation Suriname/Agricultural Experiment Station Bulletin No. 98, Paramaribo.
53. Wallach, D., Goffinet, B., 1989. Mean squared error of prediction as a criterion for evaluating and comparing system models. Ecol. Model. 44, 299-306.
54. Welch, S.M., Croft, B.A., Michels, M.F., 1981. Validation of pest management models. Environ. Entomol. 10, 425-432.
55. Worner, S.P., 1992. Performance of phenological models under variable temparature regimes: consequences of the Kaufmann or rate summation effect. Environ. Entomol. 21 (4), 689-699.
56. Yang, Y. 1994. Population Dynamics and Damage Effects of the Citrus Rust Mite Phyllocoptruta oleivora (Ashmead)(Acari: Eriophyidae). Ph.D. dissertation, University of Florida, Gainesville.
57. Yang, Y., Allen, J.C., Knapp, J.L., Stansly, P.A., 1994. Citrus rust mite (Acari: Eriophyidae) damage effects on 'Hamlin' orange fruit growth and drop. Environ. Entomol. 23 (2), 244-247.
58. Yang, Y., Allen, J.C., Knapp, J.L., Stansly, P.A., 1995a. Frequency distribution of citrus rust mite (Acari: Eriophyidae) damage on fruit in 'Hamlin' orange trees. Environ. Entomol. 24 (5), 1018-1023.
59. Yang, Y., Allen, J.C., Knapp, J.L., Stansly, P.A., 1995b. Relationship between population density of citrus rust mite (Acari: Eriophyidae) and damage to 'Hamlin' orange fruit. Environ. Entomol. 24 (5), 1024-1031.
60. Yang, Y., Huang, M.D., 1991. A computer simulation of the population life system of citrus psylla (Diaphorina citri Kuwayama). Proc. 6th Int. Asia Pacific Workshop on Integrated Citrus Health Management. Kuala Lumpur, Malaysia, 24-30th June, 1991, pp. 128-145.
61. Yothers and Mason, 1930. The citrus rust mite and its control. USDA Technical Bulletin 176.