Numerical Methods for Transport-Resistance Source-Sink Allocation Models

P. Prusinkiewicz1, M. Allen2, A. Escobar-Gutierrez3, and T. M. deJong2
1 Department of Computer Science, University of Calgary
2 Department of Plant Sciences, University of California, Davis
3 INRA, Lusignan


A key problem of functional-structural plant modelling is the partitioning of resources between plant components. One approach to addressing this problem is based on the simulation of transport between the sources and sinks of a resource. To this end, we exploit an analogy between the flow of resources in a plant and the flow of currents in an electric circuit, and we present a computationally effective method for solving this circuit. The method lends itself to a straightforward implementation using L-systems, and is thus well suited for simulating the partitioning of resources in spatially-explicit models of growing plants.


P. Prusinkiewicz, M. Allen, A. Escobar-Gutierrez, and T. M. DeJong: Numerical methods for transport-resistance source-sink allocation models. In Functional-Structural Plant Modelling in Crop Production, J. Vos et al. (eds.), Springer, 2007.

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