Competition among plants: Concepts, individual-based modelling approaches, and a proposal for a future research strategy

Perspectives in Plant Ecology, Evolution and Systematics

Volumn 9, Issue 3-4, 2008, Pages 121-135

  Berger, Uta ^a   Piou, Cyril ^a   Schiffers, Katja ^b   Grimm, Volker ^c  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF POTSDAM   (Germany)

^c HELMHOLTZ CENTRE FOR ENVIRONMENTAL RESEARCH UFZ   (Germany)

Author keywords

Ecological field; Field of neighbourhood; Grid based model; Individual based model; Tessellation; Zone of influence

Indexed keywords

COMMUNITY COMPOSITION; COMPARATIVE STUDY; COMPETITION (ECOLOGY); ECOLOGICAL MODELING; ENVIRONMENTAL CHANGE; FUTURE PROSPECT; KNOWLEDGE; PARAMETERIZATION; POPULATION STRUCTURE; RESEARCH WORK;

EID: 38949162890     PISSN: 14338319     EISSN: 16180437     Source Type: Journal    
DOI: 10.1016/j.ppees.2007.11.002     Document Type: Article

References (118)

1. Aerts R. Interspecific competition in natural plant communities: mechanisms, trade-offs and plant-soil feedbacks. J. Exp. Bot. 50 (1999) 29-37
2. Alsweis M., and Deussen O. Modeling and visualization of symmetric and asymmetric plant competition. In: Galin E., and Poulin P. (Eds). Eurographics Workshop on Natural Phenomena (2005), The Eurographics Association 1-7
3. Amishev D.Y., and Fox T.R. The effect of weed control and fertilization on survival and growth of four pine species in the Virginia Piedmont. Forest Ecol. Manag. 236 (2006) 93-101
4. Arge, L., deBerg, M., Haverkort, H.J., Yi, K., 2004. The priority R-tree: a practically efficient and worst case optimal R-tree. In: Proceedings of 2004 ACM SIGMOD International Conference on Management of Data, ACM Press, New York, pp. 347-358.
5. Baltzer H., Braun W.P., and Kohler W. Cellular automata models for vegetation dynamics. Ecol. Model. 107 (1998) 113-125
6. Bartelink H.H. Effects of stand composition and thinning in mixed-species forests: a modeling approach applied to Douglas-fir and beech. Tree Physiol. 20 (2000) 399-406
7. Bauer S., Berger U., Hildenbrandt H., and Grimm V. Cyclic dynamics in simulated plant populations. Proc. R. Soc. B-Biol. Sci. 269 (2002) 2443-2450
8. Bauer S., Wyszomirski T., Berger U., Hildenbrandt H., and Grimm V. Asymmetric competition as natural outcome of neighbour interactions among plants: results from the field-of-neighbourhood modelling approach. Plant Ecol. 170 (2004) 135-145
9. Benjamin L.R. A comparison of different rules of partitioning of crop growth between individual plants. Ecol. Model. 115 (1999) 111-118
10. Berger U., and Hildenbrandt H. A new approach to spatially explicit modelling of forest dynamics: spacing, ageing and neighbourhood competition of mangrove trees. Ecol. Model. 132 (2000) 287-302
11. Berger U., and Hildenbrandt H. The strength of competition among individual trees and the biomass-density trajectories of the cohort. Plant Ecol. 167 (2003) 89-96
12. Berger U., Adams M., Grimm V., and Hildenbrandt H. Modeling secondary succession of neotropic mangroves: causes and consequences of growth reduction in pioneer species. Perspect. Plant Ecol., Evol. Syst. 7 (2006) 243-252
13. Berger U., Adams M., Grimm V., and Hildenbrandt H. Modeling secondary succession of neotropical mangroves: causes and consequences of growth reduction in pioneer species. Perspect. Plant Ecol., Evol. Syst. 7 (2006) 243-252
14. Bithell M., and Macmillan W.D. Escape from the cell: spatially explicit modelling with and without grids. Ecol. Model. 200 (2007) 59-78
15. Bonan G.B. Density effects on the size structure of annual plant populations: an indication of neighbourhood competition. Ann. Bot. 68 (1991) 341-347
16. Bossel H. TREEDYN forest simulation model. Ecol. Model. 90 3 (1996) 187-227
17. Botkin D.B., Janak J.F., and Wallis J.R. Some ecological consequences of a computer model of forest growth. J. Ecol. 60 (1972) 849-872
18. Brooker R.W., Maestre F.T., Callaway R.M., Lortie C.L., Cavieres L.A., Kunstler G., Liancourt P., Tielbörger K., Travis J.M.J., Anthelme F., Armas C., Coll L., Corcket E., Delzon S., Forey E., Kikvidze Z., Olofsson J., Pugnaire F., Quiroz C.L., Saccone P., Schiffers K., Seifan M., Touzard B., and Michalet R. Facilitation in plant communities: the past, the present, and the future. J. Ecol. 96 1 (2008) 18-34
19. Bruno J.F., Stachowicz J.J., and Bertness M.D. Inclusion of facilitation into ecological theory. TREE 18 (2003) 119-125
20. Bugman H.K.M., Wullschlegel S.D., Price D.T., Ogle K., Clark D.F., and Solomon A.M. Comparing the performance of forest gap models in North America. Climatic Change 51 (2001) 349-388
21. Busing R.T., and Mailly D. Advances in spatial, individual-based modelling of forest dynamics. J. Vegetation Sci. 15 (2004) 831-842
22. Bustos B., Keim D., Saupe D., Schreck T., and Vranic D. An experimental effectiveness comparison of methods for 3D similarity search. Int. J. Digit. Libr. 6 1 (2006) 39-54
23. Callaway R.M. Positive interactions among plants. Bot. Rev. 61 (1995) 306-349
24. Callaway R.M., and Pennings S.C. Facilitation may buffer competitive effects: indirect and diffuse interactions among salt marsh plants. Am. Nat. 156 (2000) 416-424
25. Casper B.B., Schenk H.J., and Jackson R.R.B. Defining a plant's belowground zone of influence. Ecology 84 (2003) 2313-2321
26. Caswell H., and Etter R. Cellular automaton models for competition in patchy environments: facilitation, inhibition, and tolerance. Bull. Math. Biol. 61 (1999) 625-649
27. Chave J. Study of structural, successional and spatial patterns in tropical rain forests using TROLL, a spatially explicit forest model. Ecol. Model. 124 (1999) 233-254
28. Chen R., and Twilley R.R. A gap dynamic model of mangrove forest development along gradients of soil salinity and nutrient resources. J. Ecol. 86 (1998) 37-51
29. Chen R., and Twilley R.R. A simulation model of organic matter and nutrient accumulation in mangrove wetland soils. Biogeochemistry 44 (1999) 93-118
30. Colombo A., and Or D. Plant water accessibility function: a design and management tool for trickle irrigation. Agric. Water Manag. 82 (2006) 45-62
31. Courbaud B. Comparing light interception with stand basal area for predicting tree growth. Tree Physiol. 20 (2000) 407-414
32. Cox D.R., Isham V., and Northrop P. Statistical modeling and analysis of spatial patterns. In: Dieckmann U., Law R., and Metz J.A.J. (Eds). The Geometry of Ecological Interactions (2000), Cambridge University Press, Cambridge 65-88
33. Czárán T. Spatiotemporal Models of Population and Community Dynamics (1998), Chapman & Hall, London, Weinheim, New York, Tokyo, Melbourne, Madras
34. Czárán T., and Bartha S. The effect of spatial pattern on community dynamics: a comparison of simulated and field data. Vegetation 83 (1989) 229-239
35. Damgaard C., Weiner J., and Nagashima H. Modelling individual growth and competition in plant populations: growth curves of Chenopodium album at two densities. J. Ecol. 90 4 (2002) 666-671
36. DeAngelis D.L., and Gross L.J. Individual-Based Models and Approaches in Ecology (1992), Chapman & Hall, New York
37. Deussen O., and Lintermann B. Digital Design of Nature-Computer Generated Plants and Organics (2005), Springer
38. Deutschman D.H., Levin S.A., and Pacala S.W. Error propagation in a forest succession model: the role of fine-scale heterogeneity in light. Ecology 80 (1999) 1927-1943
39. Ditzer T., Glauner R., Forster M., Kohler P., and Huth A. The process-based stand growth model Formix 3-Q applied in a GIS environment for growth and yield analysis in a tropical rain forest. Tree Physiol. 20 (2000) 367-381
40. Donald C.M. The interaction of competition for light and nutrients. Aust. J. Agric. Res. 9 (1958) 421-435
41. Dunkerley D.L. Banded chenopod shrublands of arid Australia: modelling responses to interannual rainfall variability with cellular automata. Ecol. Model. 121 (1999) 127-138
42. Fall A., and Fall J. A domain-specific language for models of landscape dynamics. Ecol. Model. 141 (2001) 1-18
43. Feagin R.A., Wu X.B., Smeins F.E., Whisenant S.G., and Grant W.E. Individual versus community level processes and pattern formation in a model of sand dune plant succession. Ecol. Model. 183 (2005) 435-449
44. Galitsky V.V. Dynamic 2D model of plant communities. Ecol. Model. 50 (1990) 95-105
45. Godin C. Representing and encoding plant architecture: a review. Annu. Forest Sci. 57 (2000) 413-438
46. Goldberg D.E., and Werner P.A. Equivalence of competitors in plant communities: a null hypothesis and a field experimental approach. Am. J. Bot. 70 (1983) 1098-1104
47. Green D.S., and Hawkins C.D.B. Competitive interactions in sub-boreal birch-spruce forests differ on opposing slope aspects. Forest Ecol. Manag. 214 (2005) 1-10
48. Grime J.P. Comparitive Plant Ecology: A Functional Approach to Common British Species (1988), Unwin Hyman, London, UK
49. Grimm V. Ten years of individual-based modelling in ecology: what have we learned and what could we learn in the future?. Ecol. Model. 115 (1999) 129-148
50. Grimm V., and Railsback S.F. Individual-Based Modelling and Ecology (2005), Princeton University Press, Princeton, NJ
51. Grimm V., Revilla E., Berger U., Jeltsch F.L., Mooij W.M., Railsback St.F., Thulke H.-H., Weiner J., Wiegand Th., and DeAngelis D.L. Pattern-oriented modeling of agent-based complex systems: lessons from ecology. Science 310 (2005) 987-991
52. Grimm V., Berger L., Bastiansen F., Eliassen S., Ginot V., Giske J., Goss-Custard J., Grand T., K. Heinz S., Huse G., Huth A., Jepsen J.U., Jørgensen Chr., Mooijh W.M., Müller B., Peer G., Piou C., Railsback S.F., Robbins A.M., Robbins M.M., Rossmanith E., Ruger N., Strand E., Souissi S., Stillman R.A., Vabøg R., Visser U., and DeAngelis D.L. A standard protocol for describing individual-based and agent-based models. Ecol. Model. 198 (2006) 115-126
53. Guttman, A., 1984. R-trees: a dynamic index structure for spatial searching. In: Proceedings of 1984 ACM SIGMOD International Conference on Management of Data, ACM Press, New York, pp. 47-57.
54. Hanan J., and Prusinkiewicz P. Virtual plants: new perspectives for ecologists and agricultural scientists. Trends Plant Sci. (1996) 33-38
55. Harlow F.H. Hydrodynamic problems involving large fluid distortions. J. Assoc. Comput. Mach. 4 (1957) 137-142
56. Harlow F.H. Particle-in-cell computing method for fluid dynamics. J. Comput. Phys. 3 (1964) 319-343
57. Hendry R.J., McGlade J.M., and Weiner J. A coupled map lattice model of the growth of plant monocultures. Ecol. Model. 84 1-3 (1996) 81-90
58. Hiebeler D. Competition between near and far dispersers in spatially structured habitats. Theoret. Pop. Biol. 66 3 (2004) 205-218
59. Hildenbrandt, H., 2003. Simulationsmodelle zur Untersuchung der Dynamik von Mangrovenwäldern. Ph.D. Thesis, University of Bremen.
60. Houston A., Clark J.C., McNamara J., and Mangel M. Dynamic models in behavioral and evolutionary ecology. Nature 332 (1988) 29-34
61. Hühn M. Note on the effect of non-regular spatial patterns of plants on yield per area based on a logarithmic relationship between single plant yield and individual area. J. Agronomy Crop Sci. 184 (2000) 133-136
62. James R., Bennett P.G., and Krause J. Geometry for mutualistic and selfish herds: the limited domain of danger. J. Theor. Biol. 228 (2004) 107-113
63. Jeltsch F., Milton S.J., Dean W.R.J., and Rooyen N.V. Tree spacing and coexistence in semiarid savannas. J. Ecol. 84 (1996) 2414-2427
64. Jeltsch F., Milton S.J., Dean W.R.J., and Van Rooyen N. Analysing shrub encroachment in the southern Kalahari: a grid-based modelling approach. J. Appl. Ecol. 34 (1997) 1497-1508
65. Jeltsch F., Milton S.J., Dean W.R.J., and Van Rooyen N. Simulated pattern formation around artificial waterholes in the semi-arid Kalahari. J. Vegetation Sci. 8 (1997) 177-188
66. Jeltschm F., and Moloney K.A. Spatially-explicit vegetation models: what have we learned?. Prog. Bot. 63 (2002) 326-343
67. Kleinn C., and Vilcko F. A new empirical approach for estimation in k-tree sampling. Forest Ecol. Manag. 237 (2006) 522-533
68. Kleinn C., and Vilcko F. Design-unbiased estimation for point-to-tree distance sampling. Can. J. Forest Res. 36 (2006) 1407-1414
69. Koumoutsakos P. Multiscale flow simulations using particles. Annu. Rev. Fluid Mech. 37 (2005) 457-487
70. Law R., and Dieckmann U. Moment approximation of individual-based models. In: Dieckmann U., Law R., and Metz J.A.J. (Eds). The Geometry of Ecological Interactions (2000), Cambridge University Press, Cambridge 252-270
71. Lischke H., Zimmermann N.E., Bolliger J., Rickebusch S., and Löffler T.J. TreeMig: a forest-landscape model for simulating spatio-temporal patterns from stand to landscape scale. Ecol. Model. 199 (2006) 409-420
72. Liu J., and Ashton P.S. Individual-based simulation models for forest succession and management. For. Ecol. Manage. 73 (1995) 157-175
73. MacArthur R.H. Geographical Ecology (1972), Princeton University Press, Princeton, NJ
74. Malanson G.P., Zeng Y., and Walsh St.J. Landscape frontiers, geography frontiers: lessons to be learned. Prof. Geogr. 58 (2006) 383-396
75. Martens S.N., Breshears D.D., Meyer C.W., and Barnes F.J. Scales of above-ground and below-ground competition in a semi-arid woodland detected from spatial pattern. J. Vegetation Sci. 8 (1997) 655-664
76. McInnis L.M., Oswald B.P., Williams H.M., Farrish K.W., and Unger D.R. Growth response of Pinus taeda L. to herbicide, prescribed fire, and fertilizer. Forest Ecol. Manag. 199 (2004) 231-242
77. Miina J., and Pukkala T. Application of ecological field theory in distance-dependent growth modelling. Forest Ecol. Manag. 161 (2002) 101-107
78. Mitchley J. Diffuse competition in plant communities. Trends Ecol. Evol. (1987) 104-106
79. Molofsky J., and Bever J.D. A new kind of ecology?. BioScience 54 (2004) 440-446
80. Munjiza A. The Combined Finite-Discrete Element Method (2004), Wiley, Chichester
81. Olsen J., Kristensen L., and Weiner J. Influence of sowing density and spatial pattern of spring wheat (Triticum estivum) on the suppression of different weed species. Weed Biol. Manag. 6 (2006) 165-173
82. Ostendorf B., Hilbert D.W., and Hopkins M.S. The effect of climate change on tropical rainforest vegetation pattern. Ecol. Model. 145 (2001) 211-224
83. Pacala S., and Silander J. Neighborhood models of plant population dynamics, error analysis, and dynamics. Am. Nat. 125 (1985) 385-411
84. Pacala S., Canham C.D., and Silander J. Forest models defined by field measurements: I. The design of a northeastern forest simulator. Can. J. Forest Res. 23 (1993) 1980-1988
85. Perry G.L.W., and Enright N.J. Humans, fire and landscape pattern: understanding a maquis-forest complex, Mont Do, New Caledonia, using a spatial 'state-and-transition' model. J. Biogeogr. 29 (2002) 1143-1158
86. Perry G.L.W., and Enright N.J. Spatial modelling of landscape composition and pattern in a maquis-forest complex, Mont Do, New Caledonia. Ecol. Model. 152 (2002) 279-302
87. Perttunen J., Sievänen R., Nikinmaa E., Salminen H., Saarenmaa H., and Väkevä J. LIGNUM: a tree model based on simple structural units. Ann. Bot. 77 (1996) 87-98
88. Piou P., Berger U., Hildenbrandt H., Grimm V., Diele K., and D'Lima C. Simulating cryptic movements of a mangrove crab: recovery phenomena after small scale fishery. Ecol. Model. 205 (2007) 110-122
89. Prusinkiewicz P., Mündermann L., Karwowski R., and Lane B. The Use of Positional Information in the Modeling of Plants (2001), ACM Press, New York, NY pp. 289-300
90. Purves D.W., and Law R. Fine-scale spatial structure in a grassland community: quantifying the plant's-eye view. J. Ecol. 90 1 (2002) 121-129
91. Rademacher C., Neuert C., Grundmann V., Wissel C., and Grimm V. Reconstructing spatiotemporal dynamics of Central European natural beech forests: the rule-based forest model BEFORE. Forest Ecol. Manag. 194 (2004) 349-368
92. Reynolds J.H., and Ford E.D. Improving competition representation in theoretical models of self-thinning: a critical review. J. Ecol. 93 (2005) 362-372
93. Saint-André L., M'Bou A.T., Mabiala A., Mouvondy W., Jourdan C., Roupsard O., Deleporte P., Hamel O., and Nouvellon Y. Age-related equations for above- and below-ground biomass of a Eucalyptus hybrid in Congo. Forest Ecol. Manag. 205 (2005) 199-214
94. Schneider M.K., Law R., and Illian J.B. Quantification of neighbourhood-dependent plant growth by Bayesian hierarchical modelling. J. Ecol. 94 (2006) 310-321
95. Schwinning S., and Weiner J. Mechanisms determining the degree of size asymmetry in competition among plants. Oecologia 113 (1998) 447-455
96. Shackleton C. Nearest-neighbour analysis and the prevalence of woody plant competition in South African savannas. Plant Ecol. 158 (2002) 65-76
97. Shugart H.H. A Theory of Forest Dynamics: the Ecological Implications of Forest Succession Models (1984), Springer, New York
98. Stoll P., and Bergius E. Pattern and process: competition causes regular spacing of individuals within plant populations. J. Ecol. 93 (2005) 395-403
99. Stoll P., and Weiner J. Neighbourhood view of interactions among individual plants. In: Dieckmann U., Law R., and Metz J.A.J. (Eds). The Geometry of Ecological Interactions (2000), Cambridge University Press, Cambridge 11-27
100. Takenaka A. A simulation model of tree architecture development based on growth response to local light environment. J. Plant Res. 107 (1994) 321-330
101. Thomas S.C., and Weiner J. Growth, death and size distribution change in an Impatiens pallida population. J. Ecol. 77 (1989) 524-536
102. Tilman D. Plant Strategies and the Dynamics and Structure of Plant Communities (1988), Princeton University Press, Princeton, NJ
103. Townsend Peterson A. Predicting the geography of species' invasions via ecological niche modeling. Q. Rev. Biol. 78 (2003) 419-433
104. Twilley R.R., Rivera-Monroy V.H., Chen R., and Botero L. Adapting an ecological mangrove model to simulate trajectories in restoration ecology. Mar. Pollut. Bull. 37 (1999) 404-419
105. Vakalis D., Sarimveis H., Kiranoudis C., Alexandridis A., and Bafas G. A GIS based operational system for wildland fire crisis management I. Mathematical modelling and simulation. Appl. Math. Model. 28 (2004) 389-410
106. Wang J.H., Kropff M.J., Lammert B., Christensen S., and Hansen P.K. Using CA model to obtain insight into mechanism of plant population spread in a controllable system: annual weeds as an example. Ecol. Model. 166 (2003) 277-286
107. Weiner J. Asymmetric competition in plant populations. Trends Ecol. Evol. 5 (1990) 360-364
108. Weiner J., Stoll P., Muller-Landau H., and Jasentuliyana A. The effects of density, spatial pattern, and competitive symmetry on size variation in simulated plant populations. Am. Nat. 158 (2001) 438-450
109. West P.W. Model of above-ground assimilate partitioning and growth of individual trees in even-aged forest monoculture. J. Theor. Biol. 161 (1993) 369-394
110. Wiegand T., Jeltsch F., Hanski I., and Grimm V. Using pattern-oriented modeling for revealing hidden information: a key for reconciling ecological theory and application. OIKOS 100 2 (2003) 209-222
111. Wiegand T., Revilla E., and Knauer F. Dealing with uncertainty in spatially explicit population models. Biodivers.Conserv. 13 1 (2004) 53-78
112. Wiegand T., Camarero J.J., Rüger N., and Gutiérrez E. Abrupt population changes in treeline ecotones along smooth gradients. J. Ecol. 94 (2006) 880-892
113. Wilson J.B. Shoot competition and root competition. J. Appl. Ecol. 25 (1988) 279-296
114. Winkler E. Recent trends in plant-ecological modelling: species dynamics in grassland systems. Prog. Bot. 67 (2006) 420-440
115. Winkler E., and Stöcklin J. Sexual and vegetative reproduction of Hieracium pilosella L. under competition and disturbance: a grid-based simulation model. Ann. Bot. 89 (2002) 525-536
116. Wood A.J., Ackland G.L., and Lenton T.M. Mutation of albedo and growth response produces oscillations in a spatial Daisyworld. J. Theor. Biol. 242 (2006) 188-198
117. Wu H., Sharp P.J., Walker J., and Penridge L.K. Ecological field theory: a spatial analysis of resource interference among plants. Ecol. Model. 29 (1985) 215-243
118. Wyszomirski T., Wyszomirska I., and Jarzyna I. Simple mechanisms of size distribution dynamics in crowded and uncrowded virtual monocultures. Ecol. Model. 115 (1999) 253-273