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P. G. BLACKWELL, K. RENNOLLS, M. P. COUTTS, A Root Anchorage Model for Shallowly Rooted Sitka spruce, Forestry: An International Journal of Forest Research, Volume 63, Issue 1, 1990, Pages 73–91, https://doi.org/10.1093/forestry/63.1.73
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Abstract
A mathematical model has been developed to complement field experiments on tree stability, and in particular to increase our understanding of root anchorage. The model has been developed by regarding the tree and soil as a simple mechanical system. This conceptual model can be described mathematically, and its behaviour investigated numerically. Results are given showing the sensitivity of the model to various measurable parameters, and its dynamic behaviour. Future refinements and extensions of the model are discussed.