Forest spatial dynamics with gap expansion: Total gap area and gap size distribution

Journal of Theoretical Biology

Volumn 180, Issue 3, 1996, Pages 229-246

  Kubo, Takuya ^a   Iwasa, Yoh ^a   Furumoto, Naoki ^a  

^a KYUSHU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ECOSYSTEM; FOREST; PRIORITY JOURNAL; STATISTICAL MODEL;

EID: 0030573531     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1006/jtbi.1996.0099     Document Type: Article

References (66)

1. ALEXANDER, R. R. (1964). Minimizing windfall and clear cuttings in spruce-fir forest. Forest Science 10, 130-142.
2. BEZUIDENHOUT, C. & GRIMMET, G. (1990). The critical contact process dies out. Ann. Prob. 18, 1462-1482.
3. BOTKIN, D. B., JANAK, J. F. & WALLIS, J. R. (1972). Some ecological consequences of a computer model of forest growth. J. Ecol. 60, 849-872.
4. BRAMSON, M., DURRETT, R. & SWINDLE, G. (1989). Statistical mechanics of crabgrass. Ann. Prob. 17, 444-481.
5. BROADBENT, S. R. & HAMMERSLEY, J. M. (1957). Percolation processes. I. Crystals and mazes. Proc. Cambr. Phil. Soci. 53, 629-641.
6. CASWELL, H. (1989). Matrix population models: construction, analysis and interpretation. Sunderland: Sinauer Associations.
7. CASWELL, H. & ETTER, R. J. (1992). Ecological interactions in patchy environments: from patch-occupancy models to cellular automata. In: Patch Dynamics (Levin, S. A., Powell, T. M. & Steele, J. H., eds) pp. 93-109. New York: Springer-Verlag.
8. CRAWLEY, M. J. & MAY, R. M. (1987). Population dynamics and plant community structure: competition between annuals and perennials. J. theor. Biol. 125, 475-489.
9. DE ROOS, A. M., MCCAULEY, E. & WILSON, W. G. (1991). Mobility versus density-limited predator-prey dynamics of different spatial scales. Proc. Roy. Soc. Lond. B 246, 117-122.
10. DURRETT, R. (1992). Stochastic growth models: bounds on critical values. J. Appl. Prob. 29, 11-20.
11. DURRETT, R. & LEVIN, S. A. (1994). Stochastic spatial models: a user's guide to ecological applications. Proc. Roy. Soc. Lond. B 343, 329-350.
12. ETTER, R. J. & CASWELL, H. (1994). The advantages of dispersal in a patch environment: effects of disturbance in a cellular automata model. In: Reproduction, Larval Biology and Recruitment in the Deep-sea Benthos (Eckelbarger, K. J. & Young, C. M., eds) pp. 93-109. South Carolina: Columbia University Press.
13. FOSTER, J. R. & REINERS, W. A. (1986). Size distribution and expansion of canopy gaps in a northern Appalachian spruce-fir forest. Vegetatio 68, 109-114.
14. GREEN, D. G. (1989). Simulated effects of fire, dispersal and spatial pattern on competition with forest mosaics. Vegetatio 82, 139-153.
15. GRIFFEATH, D. (1979). Lecture Notes in Mathematics 724: Additive and Cancellative Interacting Particle Systems. New York: Springer-Verlag.
16. HARADA, Y. & IWASA, Y. (1994). Lattice population dynamics for plants with dispersing seeds and vegetative propagation. Res. Pop. Ecol. 36, 237-249.
17. HARADA, Y., EZOE, H., IWASA, Y., MATSUDA, H. & SATO, K. (1995). Population persistence and spatially limited social interaction. Theor. Pop. Biol. 48, 65-91.
18. HASSELL, M., COMINS, H. N. & MAY, R. M. (1991). Spatial structure and chaos in insect population dynamics. Nature 353, 255-258.
19. HASSELL, M., COMINS, H. N. & MAY, R. M. (1994). Species coexistence and self-organizing spatial dynamics. Nature 370, 290-292.
20. HORN, H. S. (1974). Ecology of secondary succession. Ann. Rev. Ecol. Sys. 5, 25-37.
21. HORN, H. S. (1975). Markovian properties of forest succession. In: Ecology and evolution of communities (Cody, M. L. & Diamond, J. M., eds) pp. 196-211. Massachusetts: Harvard University Press.
22. HUBBELL, S. P. & FOSTER, R. B. (1986). Canopy gaps and the dynamics of a neotropical forest. In: Plant Ecology (Crawley, M. J., ed.) pp. 77-96. Oxford: Blackwell.
23. IWAO, S. (1968). A new regression method for analyzing the aggregation pattern of animal populations. Res. Popul. Ecol. 10, 1-20.
24. IWAO, S. & KUNO, E. (1971). An approach to analyzing the aggregation pattern of animal populations. In: Statistical Ecology Vol. 1. pp. 461-513. New Jersey: Philadelphia University Press.
25. IWASA, Y. & KUBO, T. (1995). Forest gap dynamics with partially synchronized disturbances and patch age distribution. Ecol. Modelling 77, 257-271.
26. IWASA, Y. & TERAMOTO, E. (1977). A mathematical model for the formation of a distributional pattern and an index of aggregation. Jap. J. Ecol. 27, 117-124.
27. IWASA, Y. & TERAMOTO, E. (1984). Branching-diffusion model for the formation of distributional patterns in populations. J. Math. Biol. 19, 109-124.
28. IWASA, Y., SATO, K. & NAKASHIMA, S. (1991). Dynamic modeling of wave regeneration (Shimagare) in subalpine Abies forests. J. theor. Biol. 152, 143-158.
29. KANZAKI, M., YODA, K. & DHANMAONDA, P. (1994). Mosaic structure and tree growth pattern in a monodominant tropical seasonal evergreen forest in Thailand. In: Vegetation Science in Forestry (Peet, R. K. & Box, E. O., eds) pp. 499-517. The Netherlands: Kluwer Academic Publishers.
30. KAWANO, K. & IWASA, Y. (1993). A lattice structured model for beech forest dynamics: the effect of understory dwarf bamboo. Ecol. Modelling 66, 261-275.
31. KEANE, R. E., ARNO, S. T., BROWN, F. K. & TOMBACK, D. F. (1990). Modelling stand dynamics in white bark pine (Pinus albicaulis) forests. Ecol. Modelling 51, 73-95.
32. KIENAST, F. & KUHN, N. (1989). Simulating forest succession along ecological gradients in southern Central Europe. Vegetatio 79, 7-20.
33. KOHYAMA, T. (1988). Etiology of "Shimagare" dieback and regeneration in subalpine Abies forests of Japan. Geo Journal 17, 201-208.
34. KOHYAMA, T. & FUJITA, N. (1981). Studies on the Abies population of Mt. Shimagare. I. Survivorship curve. Bot. Mag. Tokyo 84, 55-68.
35. KOMIYAMA, A. & OHNISHI, M. (1981). Forest dynamics of Mt. Ontake, subalpine natural forests (I): growth analysis of saplings within canopy gaps. In: Abstract 29th Meeting of Japan Society Forestry Science, Chubu-branch. pp. 61-64.
36. LAWTON, R. O. & PUTZ, F. E. (1988). Natural disturbance and gap-phase regeneration in a wind-exposed tropical cloud forest. Ecology 69, 764-777.
37. LEEMANS, R. & PRENTICE, C. (1987). Description and simulation of tree-layer composition and size distribution in a primeval Picea-Pinus forest. Vegetatio 69, 147-156.
38. LEVIN, S. A. (1988). Pattern, scale & variability: an ecological perspective. In: Community Ecology. Lecture Notes in Biomathematics 77 (Hastings, A., ed) pp. 1-12. New York: Springer-Verlag.
39. LIGGETT, T. (1985). Interacting Particle Systems. New York: Springer-Verlag.
40. LLOYD, M. (1967). Mean crowding. J. Anim. Ecol. 36, 1-30.
41. LORIMER, C. G. (1985). Methodological considerations in the analysis of forest disturbance history. Can. J. For. Res. 15, 200-213.
42. MASAKI, T., SUZUKI, W., NIIYAMA, K., IIDA, S., TANAKA, H. & NAKASHIZUKA, T. (1992). Community structure of a species-rich temperate forest, Ogawa forest reserve, central Japan. Vegetatio 98, 97-111.
43. MATSUDA, H., TAMACHI, N., SASAKI, A. & OGITA, N. (1987). A lattice model for population biology. Lecture Notes in Biomathematics 71, 154-161.
44. MATSUDA, H., OGITA, N., SASAKI, A. & SATO, K. (1992). Statistical mechanics of population - The lattice Lotka-Volterra model. Prog. Theor. Phys. 88, 1035-1049.
45. MOHREN, G. M. J. & KIENAST, F. (1991). Modelling forest succession in Europe. For. Ecol. Manag. 42, 1-142.
46. NAKASHIZUKA, T. (1987). Regeneration dynamics of beech forests in Japan. Vegetatio 69, 169-175.
47. NAKASHIZUKA, T. (1991). Population dynamics of coniferous and broad-leaved trees in a Japanese temperate mixed forest. J. Veget. Sci. 2, 413-418.
48. OHTSUKI, T. & KEYES, T. (1986). Kinetic growth percolation, epidemic processes with immigration. Phys. Rev. A 33, 1223-1232.
49. PRENTICE, I. C. & LEEMANS, R. (1990). Pattern and process and the dynamics of forest structure: a simulation approach. J. Ecol. 78, 340-355.
50. RUNKLE, J. R. (1981). Gap regeneration in some old-growth forests of the eastern United States. Ecology 62, 1041-1051.
51. RUNKLE, J. R. (1984). Development of woody vegetation in treefall gaps in a beech-sugar maple forest. Hoarctic Ecology 7, 157-164.
52. RUNKLE, J. R. & YETTER, T. C. (1987). Treefalls revisited: gap dynamics in the Southern Appalachians. Ecology 68, 417-424.
53. SATO, K. & IWASA, Y. (1993). Modeling of wave regeneration (shimagare) in subalpine Abies forests: population dynamics with spatial structure. Ecology 74, 1538-1550.
54. SATO, K., MATSUDA, H. & SASAKI, A. (1994). Pathogen invasion and host extinction in lattice structured populations. J. Math. Biol. 32, 251-268.
55. SHUGART, H. (1984). Theory of Forest Dynamics. New York: Springer-Verlag.
56. SILVERTOWN, J. W. (1992). Cellular automaton models of interspecific competition for space - the effect of pattern process. J. Ecol. 80, 527-534.
57. SMITH, T. M. & URBAN, D. L. (1988). Scale and resolution of forest structural pattern. Vegetatio 74, 143-150.
58. SPRUGEL, D. G. (1976). Dynamic structure of wave-regenerated Abies balsamea forests in the north-eastern United States. J. Ecol. 64, 889-911.
59. STAUFFER, D. (1975). Introduction to Percolation Theory. London: Taylor and Francis.
60. SYKES, M. F. & GLEN, M. (1983). Percolation processes in two dimensions. I. Low-density series expansions. J. Phys. A 9, 87-95.
61. TAINAKA, K. (1988). Lattice model for the Lotka-Volterra system. J. Phys. Soc. Jap. 57, 2588-2590.
62. TAYLOR, L. R. (1984). Assessing and interpreting the spatial distributions of insect populations. Ann. Rev. Ent. 29, 321-357.
63. WHITMORE, T. C. (1975). Tropical rain forest in the far east. Oxford: Clarendon Press.
64. WILSON, W. G., DE ROOS, A. M. & MCCAILEY, E. (1993). Spatial instabilities within the diffusive Lotka-Volterra system: individual-based simulation results. Theor. Pop. Biol. 43, 91-127.
65. YAMAMOTO, S. (1992). The gap theory in forest dynamics. Bot. Mag. Tokyo 105, 375-383.
66. YAMAMOTO, S. (1993). Gap characteristics and gap regeneration in a subalpine coniferous forest on Mt. Ontake, central Honshu. Jap. Ecol. Res. 8, 277-285.