An individual-based model of an acarine tritrophic system: Lima bean, Phaseolus lunatus L., twospotted spider mite, Tetranychus urticae (Acari: Tetranychidae), and Phytoseiulus persimilis (Acari: Phytoseiidae)

Ecological Modelling

Volumn 123, Issue 2-3, 1999, Pages 161-181

  Bancroft, J S ^a   Margolies, D C ^a  

^a KANSAS STATE UNIVERSITY   (United States)

Author keywords

Individual based simulation; Stochasticity; Tritrophic interaction

Indexed keywords

INDIVIDUAL-BASED MODEL; POPULATION DYNAMICS; TRITROPHIC INTERACTION;

ACARI; PHASEOLUS LUNATUS; PHYTOSEIIDAE; PHYTOSEIULUS PERSIMILIS; TETRANYCHUS URTICAE;

EID: 0033571531     PISSN: 03043800     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3800(99)00131-3     Document Type: Article

References (74)

1. Bakker F.M., Klein M.A., Mesa N.C., Braun A.R. Saturation deficit tolerance spectra of phytophagus mites and their phytoseiid predators on cassava. Exp. Appl. Acarol. 17:1993;97-113.
2. Bancroft J.S., Margolies D.C. Allocation of time between feeding, resting, and moving by the twospotted spider mite and its predator Phytoseiulus persimilis. Exp. Appl. Acarol. 20:1996;391-404.
3. Bernstein C. Predator and prey emigration responses in the two-spotted mite and Phytoseiulus persimilis System. Oecologia. 61:1984;134-142.
4. Bernstein C. A simulation model for an acarine predator-prey system (Phytoseiulus persimilis-Tetranychus urticae). J. Anim. Ecol. 54:1985;375-389.
5. Candolfi M.P., Keller M., Boller E.F. Mite load function improves precision of feeding damage estimation in Tetranychus urticae. Entomol. Exp. Appl. 58:1991;289-293.
6. Carey J.R. Demographic determinants of stage composition in Tetranychild mite populations. Griffiths D.A., Bowman C.E. Acarolgy VI. 1:1984;609-615 Ellis Horwood, Cinchester, UK.
7. Carey J.R. Applied Demography for Biologists. 1993;161 Oxford University Press, New York.
8. Carey J.R., Bradley J.W. Developmental rates, vital schedules, sex ratios, and life tables for Tetranychus urticae, T. turkestani and T. pacificus (AcarinaL: Tetranychidae) on cotton. Acarologia. 23:1982;333-345.
9. Crozier R.H. Adaptive consequence of male-hapliody. Helle W., Sabelis M.W. World Crop Pests: Spider Mites Their Biology, Natural Enemies and Control. 1A:1985;201-219 Elsevier, Amsterdam.
10. Curry G.L., DeMichele D.W. Stochastic analysis for the description and synthesis of predator-prey systems. Can. Entomol. 109:1977;1167-1174.
11. Dicke M. Volitile spider-mite pheromone and host-plant kairomone, involved in spaced-out gregariousness in the spider mite Tetranychus urticae. Physiol. Entomol. 11:1986;251-262.
12. Diekmann O., Metz J.A.J., Sabelis M.W. Mathematical models of predator-prey-plant interactions. Exp. Appl. Acarol. 5:1988;319-342.
13. Easton D.M. Gompertz survival kinetics: fall in number alive of growth in number dead? Theor. Pop. Biol. 48:1995;1-6.
14. Eveleigh E.S., Chant D.A. The feeding and searching behavior of two species of phytoseiid mites, Phytoseiulus persimilis Athias-Henriot and Amblyseius degenerans (Berlese), at different prey densities (Acarina: Phytoseiidae). Can. J. Zool. 59:1981;1419-1430.
15. Eveleigh E.S., Chant D.A. The searching behavior of two species of phytoseiid mites, Phytoseiulus persimilis Athias-Henriot and Amblyseius degenerans (Berlese), in relation to the density and distribution of prey in an homogeneous area (Acarina: Phytoseiidae). Can. J. Zool. 60:1982;648-658.
16. Ferro D.N., Chapman R.B. Effects of different constant humidities and temperature on two-spotted spider mite egg hatch. Environ. Entomol. 8:1979;701-705.
17. Fleming D.M., Wolff W.F., De Angelis D.L. Importance of landscape heterogeneity to the wood stork in Florida everglades. Env. Manag. 18:1994;743-757.
18. Franz H.G. The Functional Response to Prey Density in an Acarine System. 1974;46-79 Center for Agric Publ Doc, Wageningen.
19. Friese D.D., Gilstrap F.E. Infulence of prey availability on reproduction and prey consumption of Phytoseiulus persimilis, Amblyseius californicus, and Metaseiulus occidentalis (Acarina: Phytoseiidae). Int. J. Acarol. 8:1982;85-89.
20. Gaede K. On the water balance of P. persimilis A.-H. and its ecological significance. Exp. Appl. Acarol. 15:1992;181-198.
21. Gerson U. Silk production in Tetranychus (Acari: Tetranychidae). Rodriguez J.G. Recent Advances in Acarology. I:1979;177-188 Academic Press, New York.
22. Gilstrap F.E. Table-top production of Tetranychid mites (Acarina) and their Phytoseiid natural enemies. J. Econ. Entomol. 50:1977;229-234.
23. Hackett C., Rawson H.M. An exploration of the carbon economy of tobacco plants. II. Patterns of leaf growth and dry matter partitioning. Aust. J. Plant Physiol. 1:1974;271-281.
24. Hastings A., Harrison S. Metapopulation dynamics and genetics. Annu. Rev. Ecol. Syst. 25:1994;167-188.
25. Holling C.S. The components of predation as revealed by a study of small mammal predation of the European pine sawfly. Can. Entomol. 91:1959;293-320.
26. Holtzer T.O., Norman J.M., Perring T.M., Berry J.S., Heinz J.C. Effects of microenvironment on the dynamics of spider mite populations. Exp. Appl. Acarol. 4:1988;247-264.
27. Houston M., DeAngelis D., Post W. New computer models unify ecological theory. Bioscience. 38:1988;682-691.
28. Huffaker C.B. Experimental studies on predators: dispersal factors and predator-prey oscillations. Hilgargia. 27:1958;343-383.
29. Jansen V.A.A., Sabelis M.W. Prey dispersal and predator persistence. Exp. Appl. Acarol. 14:1992;215-231.
30. Krainacker D.A., Carey J.A. Maternal heterogeneity in primary sex-ratio of three Tetranychid mites. Exp. Appl. Acarol. 5:1988;151-162.
31. Krainacker D.A., Carey J.A. Ambulatory dispersal and life history response to food deprivation in twospotted spider mites. Entomol. Exp. Appl. 56:1990;139-144.
32. Lactin D.J., Holliday N.J., Johnson D.J., Craigen R. Improved rate model of temperature-dependent development by arthropods. Environ. Entomol. 24:1995;68-75.
33. Leslie P.H. On the use of matrices in certain population mathematics. Biometrika. 33:1945;183-212.
34. Leslie P.H. Some further notes on the use of matrices in population mathematics. Biometrika. 35:1948;213-245.
35. Lewontin R.C. Selection for colonizing abiltiy. Baker H.G., Strebbins G.L. The genetics of colonizing species. 1965;77-94 Academic Press, New York.
36. Li S.Y., Harmsen R. Effects of maternal density and age on the daily fecundity and offspring sex ratio in Tetranychus urticae Koch. Can. Entomol. 125:1993;633-635.
37. Li J., Margolies D.C. Factors affecting location of Banks grass mite on corn leaves. Exp. Appl. Acarol. 12:1991;27-34.
38. Logan J.A. In defense of big ugly models. Am. Entomol. 40:1994;202-207.
39. Logan J.A., Wollkind D.J., Hoyt S.C., Tangoshi L.K. An analytic model for description of temperature-dependent rate phenomena in arthropods. Environ. Entomol. 5:1976;1133-1140.
40. Lomnicki A. Population ecology from the individual perspective. DeAngelis D.L., Gross L.J. Individual-Based Models and Approaches in Ecology. 1992;3-17 Chapman and Hall, New York.
41. Lotka A.J. Elements of Physical Biology. 1925;Williams and Wilkins, Baltimore, MD.
42. Margolies D.C., Wrensch D.L. Temperature-induced changes in spider mite fitness: I: offsetting effects of development time, fecundity, and sex ratio. Entomol. Exp. Appl. 78:1996;111-118.
43. Mori H., Chant D.A. The influence of humidity on the activity of Phytoseiulus persimilis A-H and its prey Tetranychus urticae (Koch) (Acarina: Phytoseiidae, Tetranychidae). Can. J. Zool. 44:1966;863-871.
44. Nachman G. Systems analysis of acarine predator-prey interactions. I. A stochastic simulation model of spatial processes. Anim. Behav. 56:1987;247-265.
45. Overmeer W.P.J. Rearing and handling. Helle W., Sabelis M.W. World Crop Pests: Spider Mites, Their Biology, Natural Enemies and Control. 1B:1985;161-169 Elsevier, Amsterdam.
46. Penman D.R., Chapman R.B. Effect of temperature and humidity on the locomatory activity of Tetranychus urticae (Acarina: Tetranychidae), Typhlodromus occidentalis and Amblyseius fallacis (Acarina: Phytoseiidae). Acta Ecol. 1:1980;259-264.
47. Rabbinge R. Aspects of damage assessment. Helle W., Sabelis M.W. World Crop Pests: Spider Mites Their Biology, Natural Enemies and Control. 1B:1985;261-272 Elsevier, Amsterdam.
48. Roeder C.M. Sex ratio response of the two-spotted spider mite (Tetranychus urticae Koch) to changes in density under local mate competition. Can. J. Zool. 70:1992;1965-1967.
49. Sabelis, M.W., 1981. Biological control of two-spotted spider mites using phytoseiid predators Part I. Agr. Research Reports, #910. Wageningen, The Netherlands, pp. 1-242.
50. Sabelis M.W. Sex allocation. Helle W., Sabelis M.W. World Crop Pests: Spider Mites, Their Biology, Natural Enemies and Control. 1B:1985;83-93 Elsevier, Amsterdam.
51. Sabelis M.W. How to analyse prey preference when prey density varies? A new method to discriminate between effects of gut fullness and prey type composition. Oecologia. 82:1990;289-298.
52. Sabelis M.W., Dicke M. Long-range dispersal and searching behaviour. Helle W., Sabelis M.W. World Crop Pests: Spider Mites, Their Biology, Natural Enemies and Control. 1B:1985;141-160 Elsevier, Amsterdam.
53. Sabelis M.W., Van de Baan H.E. Location of distant spiider mite colonies by Phytoseiid predators: demonstration of specific kairomones emitted by Tetranychus urticae and Panonychus ulmi. Ent. Exp Appl. 33:1983;303-314.
54. SAS Institute, 1992. ver. 6. Cary, NC.
55. Sequeira R.A., Olson R.L., KcKinion J.M. Implementing generic, object-oriented models in biology. Ecol. Model. 94:1997;17-31.
56. Shaw P.B. Simulation model of a predator-prey system comprised of Pytoseiulus persimilis Althias-Henriot (Acari: Phytoseiidae) and Tetranychus urticae Koch (Acari: Tetranychidae). I. Structure and validation of the model. Res. Popul. Ecol. 26:1984;235-259.
57. Shaw P.B. Simulation model of a predator-prey system comprised of Pytoseiulus persimilis and Tetranychus urticae. II. Model sensitivity to variations in life history parameters of both species and to variations in the functional response and components of the numerical response. Res. Popul. Ecol. 27:1985;1-23.
58. Stenseth C. Effect of temperature and humidity on the development of P. persimilis and its ability to regulate populations of Tetranychus urticae (Acarina: Phytoseiidae, Tetranychidae). Entomophaga. 24:1979;311-317.
59. Stiefel V.L., Margolies D.C. Do components of colonization-dispersal cycles affect the offspring sex ratios of Banks grass mites (Oligonychus pratensis)? Entomol. Exp. Appl. 64:1992;161-166.
60. Stone N.D. Object oriented models. Plant R.E. Knowledge Based Systems in Agriculture. 1991;259-287 McGraw-Hill, New York.
61. Strong W.B., Croft B.A. Innoculative release of Phytoseiid mites into the rapidly expanding canopy of hops for the control of Tetranychus urticae (Acarina: Tetranychidae). Environ. Entomol. 24:1995;446-453.
62. Suiter K.A., Gould F. Effects of mating status and age on dispersal behavior in the twospotted spider mite, Tetranychus urticae in response to fenvalerate-treated leaf surfaces. Entomol. Exp. Appl. 62:1992;1-8.
63. Suski Z.W., Neagle J.A. Environmental determinants of white light response in the twospotted spider mite, Tetranychus urticae Koch. I. Humidity and food reserve depletion. Mass. Agr. Exp. Stn. Bull. 571:1968;1-43.
64. Takafuji A. The effect of the rate of successful dispersal of the Phytoseid mite P. persimilis A-H (Acarina: Phytoseiidae) on the persistence in the interactive system between the predator and its prey. Res. Popul. Ecol. 18:1977;210-222.
65. Takafuji A., Chant D.A. Comparative studies of two species of predacious Phytoseiid mites (Acarina: Phytoseiidae), with special reference to their responses to the density of their prey. Res. Popul. Ecol. 17:1976;255-310.
66. Thurling D.J. Metabolic rate and life stage of the mites Tetranychus cinnabarinus Boisd. (Prostigmata) and P. persimilis A-H. (Mesostigmata). Oecologia. 46:1980;391-396.
67. Veerman A. Aspects of the induction of diapause in a laboratory strain of the mite Tetranychus urticae. J. Insect Physiol. 23:1977;703-711.
68. Volterra V. Variation and fluctuations of the number of individuals in animal species living together. Chapman R.H. Animal Ecology. 1931;409-448 McGraw-Hill, New York.
69. Wermelinger B., Delucchi V. Effect of sex-ratio on multiplication of the twospotted spider mite as affected by leaf nitrogen. Exp. Appl. Acarol. 9:1990;11-18.
70. Wermelinger B., Baumgartner J., Zahner P., Delucchi V. Environmental factors affecting the life tables of Tetranychus urticae Koch (Acarina) I. Temperature. Bull. Soc. Entomol. Suisse. 63:1990;55-62.
71. Werner E.E. Individual behavior and higher-order species interactions. Am. Nat. (Suppl). 140:1992;5-32.
72. Wrensch D.L. Components of reproductive success in spider mites. Rodriguez J.G. Recent Advances in Acarology. I:1979;155-164 Academic Press, New York.
73. Yao D.S., Chant D.A. Changes in body weight of two species of predatory mites (Acarina: Phytoseiidae) as a consequence of feeding in an interactive system. Exp. Appl. Acarol. 8:1990;195-220.
74. Zhang Z.Q., Sanderson J.P. Spatial scale aggregation in three acarine predator species with different degrees of polyphagy. Oecologia. 96:1993;24-31.