Implications of the Pipe Model Theory on Dry Matter Partitioning and Height Growth in Trees

Maekelae, A. (1985). Implications of the Pipe Model Theory on Dry Matter Partitioning and Height Growth in Trees. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-85-089

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Abstract

A dynamic growth model is developed for forest trees where the partitioning of growth between foliage and wood is performed so as to fulfill the assumptions of the pipe model theory (Shinozaki et al. 1964a), i.e to maintain sapwood:foliage ratio constant. Partitioning of growth to feeder roots is treated using the principle of functional balance (White 1935, Brouwer 1964, Davidson 1969 and Reynolds and Thornley 1982). The model uses the time resolution of one year and it applies to the life-time of the tree. The consequences of the pipe model theory are examined by studying the lifetime growth dynamics of trees in different environments as functions of length growth patterns of the woody organs. It is shown that there is a species-specific, environment-dependent upper limit for a sustainable length of the woody organs, and that the diameter of a tree at a certain height depends upon the rate at which that height has been achieved. These results are applied to the analysis of deceleration of growth, response to environmental stress and height growth patterns in a tree population. Further, the possible factors that allow certain coniferous species in the Pacific Northwest region to maintain an almost unlimited height growth pattern are discussed in relation to the pipe model theory.

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