AICME II abstracts
Pattern and process in terrestrial plant communities: ...
An Integro-Diferential Approach to Modelling Different Architectural Grasses Growing Alone and on Competition 1
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Jos´e Segarra , Jos´e Ravent´os
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and Miguel Acevedo .
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on modelling “complicated” architectural grasses with corrugate leaves expanding on several spatial directions. On a near future our goal is coupling this architectural model with an ecofisiological features.
References [1] Acevedo, M.F, and J. Ravent´ os, 2002. Growth dynamics of three tropical savanna grass species: an individual-module model. Ecological Modelling 154, 45-60. [2] Causton, D.R. and J.C. Venus, 1981. The biometry of plant growth. Edward Arnold, 307 pp. [3] Ravent´ os, J. M.F. Acevedo, J. Segarra, 2002 Growth dynamics of tropical savanna grasses: from individual-shoots to plant models. IEMSs vol (3) 456-461.
The independent variable x, y, z are the three-dimensional axes, t is time, and the function N (x, y, z, t) is the density of the shoots on each spatio-temporal location. This density is a function of f (n), the emergence of new shoots, P (x, y, z, 0), the initial state and K(x, y, z, t), the distribution kernel. In the present work we are going to study the spatio-temporal development of these grasses growing alone and on competition, after fire. On competition, the model predicts the degree of overlapping between pair and trios of different types of grasses. We will compare these results with field data. This approach is more compact that the traditional ones and can be easily scaled to obtain landscape models. Furthermore, it could be applied 1
Departamento de Ecolog´ıa, Universidad de Alicante, Alicante, Espa˜ na (e-mail:
[email protected]). 2 Departamento de Ecolog´ıa, Universidad de Alicante, Alicante, Espa˜ na (e-mail:
[email protected]). 3 Institute of Applied Science and Department of Geography, University of North Texas, Denton, Texas (e-mail:
[email protected]).
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AICME II abstracts
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We simulated the process of above vertical regrowth after fire on different phenological and architectural perennial grasses. We used an integrodiferential approach that combined the Richard equation to simulated the shoot regrowth, with different probability distributions as a kernel to obtain the spatial distribution Z t Z ∞Z ∞ Z ∞ N (x, y, z, t) = f (n) 1 − P (x, y, z, 0) ∗ K(x, y, z, t) dx dy dz dt. 0
Pattern and process in terrestrial plant communities: ...
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