Optimal root/shoot-partitioning of carbohydrates in plants

Optimal root/shoot-partitioning of carbohydrates in plants
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DOI:
10.1016/0092-8240(94)00026-9
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发表时间:
1995
影响因子:
3.5
通讯作者:
K. Velten;O. Richter
K. Velten;O. Richter
中科院分区:
数学4区
文献类型:
--
作者:
K. Velten;O. Richter

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在许多应用控制理论的植物生长模型生物量最大化的假设,以避免解析无法解决的问题,而水果最大化通常被认为是一个更现实的标准。在特殊情况下,我们可以比较这些标准。Iwasa and Roughgarden(1984,Theor. Pop.Biol.25,78 - 105)已经使用果实最大化标准研究了某类植物生长模型。他们证明,在营养生长期,器官遵循一定的平衡生长路径。我们表明,这条路径仍然是最佳的生物量最大化时,假设。这强调了Iwasa和Roughgarden发现的平衡增长路径的重要性。此外,我们的研究结果表明,在营养生长期的生物量最大化标准是一个很好的近似果实最大化。在另一个理论对照研究中,Schultzeet al. (1983我们将Iwasa和Roughgarden的理论应用到Schulzeet al的模型的改进版本中,这导致了对根和芽之间平衡生长的新描述,其反映了水分吸收过程中的非线性,并构成了进一步实验测试的有趣假设。
In many applications of control theory on plant growth models biomass maximization is postulated to avoid analytically unsolvable problems while fruit maximization is commonly considered to be a more realistic criterion. In a special case, we are able to compare these criteria. Iwasa and Roughgarden (1984,Theor. Pop. Biol.25, 78–105) have investigated a certain class of plant growth models using a fruit maximization criterion. They proved that, in the vegetative growth period, the organs follow a certain path of balanced growth. We show that this path remains optimal when biomass maximization is postulated. This underlines the importance of the balanced growth path found by Iwasa and Roughgarden. Furthermore, our result suggests that in the vegetative growth period the biomass maximization criterion is a good approximation of fruit maximization. In another theoretical control investigation, Schultzeet al.(1983,Oecologia58, 169–177) derived a different type of balanced growth path. We apply the theory of Iwasa and Roughgarden to an improved version of the model of Schulzeet al.This leads to a new description of balanced growth between root and shoot that reflects non-linearities in the water uptake process and constitutes an interesting hypothesis for further experimental testing.