Abstract
The effect of non-monotony of the correlation coefficient between crown projection area and the Voronoi polygon area in 90-year spruce sites in the Moscow Region arranged in ascending order of the variation coefficient of stem diameter is analyzed using the original 2D model of the plant community dynamics. Theoretical integral (over the entire community) indices of competition demonstrating non-monotone competition in relatively uniform communities—the Clements’ index (Clements et al., 1929) and the mean suppression of community plants—were analyzed. Direct computation demonstrated that the correlation coefficient can also be considered as an index of competition, and its dynamics is indeed non-monotone in uniform communities. This finding allows us to roughly evaluate the potential duration of biomass growth for free-growing spruce in the Moscow Region as 1000 years. Due to the limitations of the 2D resource model (nearly “symmetric” competition), certain model characteristics of communities (the variation coefficient and correlation characteristics of neighborhood) differed several times from natural ones although showing the correct trend of changes.
Similar content being viewed by others
References
Abaturov, A.V. and Galitskii, V.V., On Operative Processing of Tree Stand Plans, Ekologiya, 1995, vol. 21, no. 3, pp. 184–192.
Clements, F.E., Weaver, J.E., Hanson H.C., Plant Competition. An Analysis of Community Functions, Washington: Carnegy Institution, 1929.
De Reffle, P., Houllier, F., Blaise F.F., Barthelemy, D., Dauzat, J. and Auclair, D., A Model Simulating Above-and Below-Ground Tree Architecture with Agroforestry Applications, Agroforestry Systems, 1995, vol. 30, pp. 175–197.
Duncan, R., A Correction for Including Competitive Asymmetry in Measures of Local Interference in Plant Populations, Oecologia, 1995, vol. 103, pp. 393–396.
Galitsky, V.V., On Collective Self-Suppression in Uniform Plant Community and Oscillations of Biomass of Its Members, Dokl. Akad. Nauk SSSR, 1979, vol. 246, pp. 1013–1015.
Galitskii, V.V., Model Analysis of the −3/2 Rule for Plant Communities, Dokl. Akad. Nauk, 1998, vol. 362, no. 6, pp. 840–843.
Galitskii, V.V., Modeling of the Plant Community: An Individual-Oriented Approach. 1. A Model of the Plant, Izv. Akad. Nauk, Ser. Biol., 1999, no. 5, pp. 539–546.
Galitskii, V.V., Modeling of the Plant Community: An Individual-Oriented Approach. 2. A Model of the Community, Izv. Akad. Nauk, Ser. Biol., 2000, no. 2, pp. 178–185.
Galitskii, V.V., Dynamics of the Integral Measure of Competition in the Plant Communities of Various Extent of Uniformity, Investigated in Russia, 2003, no. 184, pp. 2207–2221 (http://zhurnal.ape.relarn.ru/articles/2003/184.pdf).
Galitskii, V.V., The 2D Modeling of Tree Community: from “Microscopic” Description to Macroscopic Behavior, For. Ecol. Manag., 2003, vol. 183, nos. Iss. 1–3, pp. 95–111.
Galitsky, V.V. and Abaturov, A.V., Ranging of Similar Tree Stands by Intensity of Competition Through Analysis of Their Contour Maps, Dokl. Ross. Akad. Nauk, 1996, vol. 347, no. 3, pp. 421–423.
Galitsky, V.V. and Mironenko, E.V., Mozaika Voronogo na ploskosti. Algoritm postroeniya (Voronoi Mosaic on Plane. Algorithm of Construction), Pushchino: ONTI NTsBI, 1984.
Galitskii, V.V. and Tyuryukanov, A.N., Methodological Prerequisites for Modeling in Biogeocenology, in A.N. Tyuryukanov. Izbrannye trudy (A.N. Tyuryukanov. Selected Works), Moscow: REFIA, 2001, pp. 94–108.
Galitsky, V.V., On Modeling the Plant Community Dynamics, Cybernetics and Systems Research, Trappl, R., Ed., North Holland, 1982, pp. 677–682.
Khil’mi, G.F., Teoreticheskaya biogeofizika lesa (Theoretical Forest Biogeophysics), Moscow: Akad. Nauk SSSR, 1957.
Kurth, W., Growth Grammar Interpreter GROGRA 2.4. A Software Tool for the 3-Dimensional Interpretation of Stochastic, Sensitive Growth Grammars in the Context of Plant Modelling. Introduction and Reference Manual. In: Berichte des Forschungzentrums Waldokosysteme, Ser. B 38. Gottingen, 1994.
Mack, R.N. and Harper, J.L., Interference in Dune Annuals: Spatial Pattern and Neighbourhood Effects, J. Ecol., 1977, vol. 65, pp. 345–363.
Perttunen, J., Sievanen, R., Nikinmaa, E., Salminen, H., Saarenmaa, H., and Vakeva, J., LIGNUM: A Tree Model Based on Simple Structural Units, Ann. Bot., 1996, vol. 77, pp. 87–98.
Pielou, E.C., A Single Mechanism to Account for Regular, Random and Aggregated Populations, J. Ecol., 1960, vol. 48, pp. 575–584.
Rabotnov, T.A., Fitotsenologiya (Phytocenology), Moscow: Mosk. Gos. Univ., 1978.
Sukachev, V.N., Izbrannye trudy. T. III (Selected Works. Vol. III), Leningrad: Nauka, 1975.
Voronoi, G.F., Izbrannye trudy (Selected Works), Kiev: Akad. Nauk USSR, 1952.
Weigelt, A. and Jolliffe, P., Indices of Plant Competition, J. Ecol., 2003, vol. 91, pp. 707–720.
Weiner, J., Neighborhood Interference amongst Pinus rigida Individuals, J. Ecol., 1984, vol. 72, pp. 183–195.
Weiner, J. and Thomas, S.C., Size Variability and Competition in Plant Monocultures, OIKOS, 1986, vol. 47, pp. 211–222.
Author information
Authors and Affiliations
Additional information
Original Russian Text © V.V. Galitskii, 2006, published in Izvestiya Akademii Nauk, Seriya Biologicheskaya, 2006, No. 2, pp. 156–164.
Rights and permissions
About this article
Cite this article
Galitskii, V.V. Dynamics of the integral measure of competition in plant communities of different uniformity. Biol Bull Russ Acad Sci 33, 119–126 (2006). https://doi.org/10.1134/S106235900602004X
Received:
Issue Date:
DOI: https://doi.org/10.1134/S106235900602004X