Phase transition from environmental to dynamic determinism in mountain pine beetle attack

Bulletin of Mathematical Biology

Volumn 59, Issue 4, 1997, Pages 609-643

  White, Peter ^a   Powell, James ^a  

^a UTAH STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BEETLE; CALCULATION; INDUSTRY; INFESTATION; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; NONHUMAN;

ANIMALIA; COLEOPTERA; HEXAPODA; PINUS MUGO;

EID: 0031397177     PISSN: 00928240     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02458422     Document Type: Article

References (39)

1. Borden, J. H., L. C. Ryker, L. J. Chong, H. D. Pierce, B. D. Johnston and A. C. Oehlschlager. (1987). Response of the mountain pine beetle, Dendroctonus ponderosae, to five semiochemicals in British Columbia lodgepole pine forests. Can. J. Forest. Res. 17, 118-128.
2. Burden, R. L. and J. D. Faires. 1985. Numerical Analysis, 3rd ed. Boston: Prindle, Weber and Schmidt.
3. Conn, J. E., J. H. Borden, B. E. Schott, L. M. Friskie, H. D. Pierce and A. C. Oehlschlager. 1983. Semiochemicals for the mountain pine beetle, Dendroctonus ponderosae, in British Columbia: field trapping studies. Can J. Forest. Res. 13, 320-324.
4. Gara, R. I., D. R. Geiszler and W. R. Littke. 1984. Primary attraction of the mountain pine beetle to lodgepole pine in Oregon. Ann. Entomol. Soc. Am. 77, 333-334.
5. Gear, C. W. 1971. Numerical Initial Value Problems in Ordinary Differential Equations. Englewood Cliffs, NJ: Prentice-Hall.
6. Geiszler, D. R., V. F. Gallucci and R. I. Gara. 1980. Modeling the dynamics of mountain pine beetle aggregation in a lodgepole pine stand. Oecologia 46 244-253.
7. Geiszler, D. R. and R. I. Gara. 1978. Mountain pine beetle attack dynamics in lodgepole pine. In Theory and Practice of Mountain Pine Beetle Management in Lodgepole Pine Forests: Symp. Proc., A. A. Berryman, G. D. Amman and R. W. Stark (Eds). Pullman, WA: Washington State Univ.
8. Hughes, P. R. 1973. Dendroctonus: production of pheromones and related compounds in response to host monoterpenes. Zeit. Angew. Ent. 73, 294-312.
9. Hunt, D. W. A., J. H. Borden, B. S. Lindgren and G. Gries. 1989. The role of autoxidation of alpha pinene in the production of pheromones of Dendroctonus ponderosae. Can. J. Forest. Res. 19, 1275-1282.
10. Hynum, B. G. and A. A. Berryman. 1980. Dendroctonus ponderosae (Coleoptera: Scolytidae): preaggregation landing and gallery initiation on lodgepole pine. Can. Entomol. 112, 185-191.
11. McCambridge, W. F. 1967. Nature of induced attacks by the black hills beetle, Dendroctonus ponderosae (Coleoptera: Scolytidae). Ann. Entomol. Soc. Am. 60, 920-928.
12. Moeck, H. A. and C. S. Simmons. 1991. Primary attraction of mountain pine beetle to bolts of lodgepole pine. Can. Entomol. 123, 299-304.
13. Nebeker, T. E., J. D. Hodges and C. A. Blanche. 1993. Host responses to bark beetle pathogen colonization. In Beetle-Pathogen Interactions in Conifer Forests, T. D. Schowalter and G. M. Filip (Eds). New York: Academic Press.
14. Norris, D. M. and J. E. Baker. 1967. Feeding response of Scolytus to chemical stimuli in the bark of Ulmus. J. Insect Phys. 13, 955-962.
15. Pitman, G. B. 1971. Trans-verbenol and alpha-pinene: their utility in manipulation of the mountain pine beetle. J. Econ. Entomol. 64, 426-430.
16. Pitman, G. B., J. P. Vite, G. W. Kinzer and A. F. Fentiman. 1968. Bark beetle attractants: trans-verbenol isolated from Dendroctonus. Nature 218, 168-169.
17. Powell, J. A. and J. D. Rose. 1996. Local consequences of a global model for mountain pine beetle mass attack. Dynamics Stability Syst. 12.
18. Powell, J., J. A. Logan and B. J. Bentz. 1995. Local projection of a global model of mountain pine beetle attacks. J. Theoret. Biol. 179, 243-260.
19. Press, W. H., W. T. Vetterling, S. A. Teukolsky and B. P. Flannery. 1992. Numerical Recipes in C, 2nd ed. London: Cambridge Univ. Press.
20. Prokopy, R. J. 1980. Epideictic pheromones influencing spacing patterns of phytophagous insects. In Semiochemicals: Their Role in Pest Control, D. A. Norlund, R. L. Jones and W. J. Lewis (Eds). New York: Wiley.
21. Raffa, K. F. 1988. Host orientation behavior of Dendroctonus ponderosae: integration of token stimuli and host defenses. In Mechanism of Woody Plant Resistance to Insects and Pathogens, W. J. Mattson, J. Levieux and C. Bernard-Dagen (Eds), pp. 369-390. New York: Springer-Verlag.
22. Raffa, K. F. and A. A. Berryman. 1979. Flight responses and host selection by bark beetles. In Dispersal of Forest Insects: Evaluation, Theory and Management Implications, A. A. Berryman and L. Safranyik (Eds), pp. 213-233. Pullman, WA: Washington State University.
23. Raffa, K. F., T. W. Phillips and S. M. Salom. 1993. Strategies and mechanisms of host colonization by bark beetles. In Beetle-Pathogen Interactions in Conifer Forests, T. D. Schowalter and G. M. Filip (Eds), pp. 103-120. New York: Academic Press.
24. Raffa, K. F. and A. A. Berryman. 1982. Gustatory cues in the orientation of Dendroctonus ponderosae (Coleoptera: Scolytidae) to host trees. Can. Entomol. 114, 97-104.
25. Raffa, K. F., T. W. Philips and S. M. Salom. 1993. Strategies and mechanisms of host colonization by bark beetles. In Beetle-Pathogen Interactions in Conifer Forests, T. D. Schowalter and G. M. Filip (Eds), pp. 103-120. New York: Academic Press.
26. Rasmussen, L. A. 1974. Flight and attack behavior of mountain pine beetle in lodgepole pine of northern Utah and southern Idaho. Research Note INT-18, USDA Forest Service.
27. Reid, R. W., H. S. Whitney and J. A. Watson. 1967. Reactions of lodgepole pine to attack by Dendroctonus ponderosae hopkins and blue stain fungi. Can. J. Botany 45, 1115-1116.
28. Renwick, J. A. A. and J. P. Vite. 1970. Systems of chemical communication in Dendroctonus. Contrib. Boyce Thompson Inst. 23, 355-360.
29. Roe, A. L. and G. D. Amman. 1970. The mountain pine beetle in lodgepole pine forests. Research Paper INT-71, USDA Forest Service.
30. Safranyik, L., R. Silversides, L. H. McMullen and D. A. Linton. 1989. An empirical approach to modeling the local dispersal of the mountain pine beetle (Dendroctonus ponderosae hopk.) in relation to sources of attraction, wind direction and speed. J. Appl. Entomol. 108, 498-511.
31. Schmitz, R. F. 1988. Understanding Scolytid problems in lodgepole pine forests: the need for an integrated approach. In Integrated Control of Scolytid Bark Beetles, T. L. Payne and H. Saarenmaa (Eds). Blacksburg, VA: Virginia Polytechnic Institute and State University.
32. Schonherr, J. 1976. Mountain pine beetle: visual behavior related to integrated control. In Proceedings, XVI IUFRO World Congress, Oslo, Norway, pp. 449-452.
33. Schowalter, T. D. and G. M. Filip (Eds). 1993. Beetle-Pathogen Interactions in Conifer Forests. New York: Academic Press.
34. Sheppard, R. F. 1966. Factors influencing the orientation and rates of activity of Dendroctonus ponderosae (Coleoptera: Scolytidae). Can. Entomol. 98, 507-518.
35. Smith, R. H. 1963. Toxicity of pine resin vapors to three species of Dendroctonus bark beetles. J. Econ. Entomol. 56, 827-831.
36. Smith, R. H. 1966. Resin quality as a factor in the resistance of pines to bark beetles. In Proceedings of the NATO and National Science Foundation, H. D. England, R. E. Gerhold, R. E. McDermot, E. J. Schreiner and J. A. Winieski (Eds), pp. 189-196. Oxford, England: Pergamon.
37. Tkacz, B. M. and R. F. Schmitz. 1986. Association of an endemic mountain pine beetle population with lodgepole pine infected by Armillaria root disease in Utah. Research Note INT-353, USDA Forest Service.
38. White, P. and J. Powell. 1996. Spatial invasion of pine beetles into lodgepole forests: a numerical approach. Unpublished manuscript.
39. Wood, D. L. 1972. Selection and colonization of ponderosa pine by bark beetles. Symp. Roy. Entomol. Soc. London 6, 110-117.