Cellular automata models for vegetation dynamics

Ecological Modelling

Volumn 107, Issue 2-3, 1998, Pages 113-125

  Balzter, Heiko ^a   Braun, Paul W ^a   Köhler, Wolfgang ^a  

^a JUSTUS LIEBIG UNIVERSITY   (Germany)

Author keywords

Cellular automata; Markov chains; Spatially explicit models; Spatio temporal modelling; Vegetation dynamics

Indexed keywords

CELLULAR AUTOMATION; MARKOV CHAIN; MODELLING; PLANT; POPULATION DYNAMICS;

GLECHOMA HEDERACEA; LOLIUM PERENNE; TRIFOLIUM REPENS;

EID: 0032055397     PISSN: 03043800     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3800(97)00202-0     Document Type: Article

References (53)

1. Acevedo M.F., Urban D.L., Ablan M. Transition and gap models in forest dynamics. Ecol. Appl. 5:1995;1040-1055.
2. Adamatzky, A., 1994. Identification of Cellular Automata. Taylor and Francis, London.
3. Balmann, A., 1993. Modellierung regionaler Agrarstrukturentwicklungen mittels des Konzepts zellulärer Automaten. Zeitschrift für Agrarinformatik 2(93), 34-41.
4. Balzter, H., Braun, P., Köhler, W., 1995. Detection of Spatial Discontinuities in Vegetation Data by a Moving Window Algorithm. In: Gaul, W., Pfeifer, D. (Eds.), From Data to Knowledge: Theoretical and Practical Aspects of Classification, Data Analysis and Knowledge Organization. Springer, Berlin, pp. 243-52.
5. Balzter, H., Braun, P., Köhler, W., 1996. Modelling Population Dynamics with Cellular Automata. In: Mowrer, T., Czaplewski, R.L., Hamre, R.H. (Eds.), Spatial Accuracy Assessment in Natural Resources and Environmental Sciences: Second International Symposium. May 21-23 1996. General Technical Report RM-GTR-277, Rocky Mountain Forest and Range Experiment Station, Fort Collins, CO, pp. 703-12.
6. Bascompte J., Solé R.V. Rethinkting complexity: modelling spatio-temporal dynamics in ecology. TREE. 10:1995;361-366.
7. Batzli G.O., Pitelka F.A. Influence of meadow mouse populations on California grassland. Ecology. 51:1970;1027-1039.
8. Bockstael, N., Costanza, R., Strand, I., Boynton, W., Bell, K. Wainger, L., 1995. Ecological economic modeling and valuation of ecosystems. Ecol. Econ. 14, 143-59.
9. Colasanti R.L., Grime J.P. Resource dynamics and vegetation processes: a deterministic model using two-dimensional cellular automata. Funct. Ecol. 7:1993;169-176.
10. Crawley M.J., May R.M. Population dynamics and plant community structure: competition between annuals and perennials. J. Theor. Biol. 125:1987;475-489.
11. Czárán T., Bartha S. Spatio-temporal dynamic models of plant populations and communities. TREE. 7:1992;38-42.
12. Darwen P.J., Green D.G. Viability of populations in a landscape. Ecol. Model. 85:1996;165-171.
13. Daubenmire, R., 1968. Plant Communities. Harper and Row, New York.
14. Dunning J.B., Stewart D.J., Danielson B.J., Noon B.R., Root T.L., Lamberson R.H., Stevens E.E. Spatially explicit population models: current forms and future uses. Ecol. Appl. 5:1995;3-11.
15. Dytham C. The effect of habitat destruction pattern on species persistence: a cellular model. OIKOS. 74:1995;340-344.
16. Ellison A.M., Bedford B.L. Response of a vascular plant community to disturbance: a simulation study. Ecol. Appl. 5:1995;109-123.
17. Epperson B.K. Spatial structure of two-locus genotypes under isolation by distance. Genetics. 140:1995;365-375.
18. Feller, W., 1957. An Introduction to Probability Theory and Its Applications, vol. I, 2nd ed. Wiley, New York.
19. Flamm R.O., Turner M.G. Alternative model formulations for a stochastic simulation of landscape change. Landsc. Ecol. 9:1994;37-46.
20. Gardner M. On cellular automata, self-reproduction, the garden of Eden and the game 'life'. Sci. Am. 224:1971;112-117.
21. Gerhardt M., Schuster H., Tyson J.J. A cellular automaton model of excitable media including curvature and dispersion. Science. 247:1990;1563-1566.
22. Gilpin, M.E., 1990. Extinction of Finite Metapopulations in Correlated Environments. In: Shorrocks, B., Swingland, I.R. (Eds.), Living in a Patchy Environment. Oxford University Press, New York, pp. 177-86.
23. Green D.G. Simulated effects of fire, dispersal and spatial pattern on competition within forest mosaics. Vegetatio. 82:1989;139-153.
24. Guttorp, P., 1995. Stochastic Modelling of Scientific Data. Chapman and Hall, London.
25. Haefner J.W., Poole G.C., Dunn P.V., Decker R.T. Edge effects in computer models of spatial competition. Ecol. Model. 56:1991;221-244.
26. Hassell M.P., Comins H.N., May R.M. Spatial structure and chaos in insect population dynamics. Nature. 353:1991;255-258.
27. Heller, W.-D., Lindenberg, H., Nuske, M., Schriever, K.-H., 1978. Stochastische Systeme. De Gruyter, Berlin.
28. Kareiva P., Wennergren U. Connecting landscape patterns to ecosystem and population Processes. Nature. 373:1995;299-302.
29. Karlson R.H., Jackson J.B.C. Competitive networks and community structure: a simulation study. Ecology. 62:1981;670-678.
30. Kummer G., Jeltsch F., Brandl R., Grimm V. Kopplung von prozessen auf lokaler und regionaler skala bei der tollwutausbreitung: ergebnisse eines neuen modellansatzes. Verh d Ges f Ökologie. 23:1994;355-364.
31. Li, S.Z., 1995. Markov Random Field Modeling in Computer Vision. Springer, Tokyo.
32. Lippe E., De Smidt J.T., Glenn-Lewin D.C. Markov models and succession: a test from a heathland in the Netherlands. J. Ecol. 73:1985;775-791.
33. Liu J., Dunning J.B., Pulliam H.R. Potential effects of a forest management plan on Bachman's sparrow (Aimophila aestivalis): linking a spatially explicit model with GIS. Conserv. Biol. 9:1995;62-75.
34. Loh D.K., Hsieh Y.-T.C. Incorporating rule-based reasoning in the spatial modeling of succession in a Savanna landscape. AI Appl. 9:1995;29-40.
35. Marsula R., Ratz A. Einfluß von Feuer auf die populationsdynamik von serotinen pflanzen-ein modell. Verh d Ges f Ökol. 23:1994;365-372.
36. Molofsky J. Population dynamics and pattern formation in theoretical populations. Ecology. 75:1994;30-39.
37. Olson R.L., Sequeira R.A. Emergent computation and the modeling and management of ecological systems. Comput. Electron. Agric. 12:1995;183-209.
38. Phipps, M.J., 1992. From Local to Global: The Lesson of Cellular Automata. In: DeAngelis, D.L., Gross, L.J. (Eds.), Individual-Based Models and Approaches in Ecology: Populations, Communities and Ecosystems. Chapman and Hall, New York, pp. 165-87.
39. Ratz A. Modellierung feuererzeugter räumlicher Strukturen in borealen Wäldern. Verh d Ges f Ökol. 23:1994;373-381.
40. Ricklefs, R.E., 1979. Ecology, 2nd ed. Chiron Press, New York.
41. Ruxton G.D. Effects of the spatial and temporal ordering of events on the behaviour of a simple cellular automaton. Ecol. Model. 84:1996;311-314.
42. Scanlan J.C., Archer S. Simulated dynamics of succession in a North American subtropical Prosopis Savanna. J. Veg. Sci. 2:1991;625-634.
43. Silvertown J., Holtier S., Johnson J., Dale P. Cellular automaton models of interspecific competetion for space - the effect of pattern on process. J. Ecol. 80:1992;527-534.
44. Smith III A.R. Cellular automata complexity trade-offs. Inf. Control. 18:1971;466-482.
45. Stewart, W.J., 1994. Introduction to the Numerical Solution of Markov Chains. Princeton University Press, Princeton, NJ.
46. Turner M.G., Arthaud G.J., Engstrom R.T., Hejl S.J., Liu J., Loeb S., McKelvey K. Usefulness of spatially explicit population models in land management. Ecol. Appl. 5:1995;12-16.
47. Van Tongeren O., Prentice I.C. A spatial simulation model for vegetation dynamics. Vegetatio. 65:1986;163-173.
48. Wiegand T., Milton S.J., Wissel C. Ein räumliches Simulationsmodell für eine Pflanzengemeinschaft in der südlichen Karoo Südafrika. Verh der Ges f Ökol. 23:1994;407-416.
49. Wilkie D.S., Finn J.T. A spatial model of land use and forest regeneration in the Ituri forest of northeastern Zaire. Ecol. Model. 41:1988;307-323.
50. Winkler E., Klotz S., Wissel C. Mathematische Modellierung der Phytozönosedynamik eines Trockenrasens. Verh d Ges f Ökol. 23:1994;451-458.
51. Wolfram S. Statistical mechanics of cellular automata. Rev. Mod. Phys. 55:1983;601-644.
52. Wolfram S. Universality and complexity in cellular automata. Physica. 10D:1984;1-35.
53. Zucchini W., Guttorp P. A hidden Markov model for space-time precipitation. Water Resourc. Res. 27:1991;1917-1923.