Recovering the Metabolic, Self-Thinning, and Constant Final Yield Rules in Mono-Specific Stands

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Mrad , A , Manzoni , S , Oren , R , Vico , G , Lindh , M & Katul , G 2020 , ' Recovering the Metabolic, Self-Thinning, and Constant Final Yield Rules in Mono-Specific Stands ' , Frontiers in Forests and Global Change , vol. 3 , 62 . https://doi.org/10.3389/ffgc.2020.00062

Title: Recovering the Metabolic, Self-Thinning, and Constant Final Yield Rules in Mono-Specific Stands
Author: Mrad, Assaad; Manzoni, Stefano; Oren, Ram; Vico, Giulia; Lindh, Magnus; Katul, Gabriel
Contributor: University of Helsinki, Department of Forest Sciences
Date: 2020-05-27
Language: eng
Number of pages: 20
Belongs to series: Frontiers in Forests and Global Change
ISSN: 2624-893X
URI: http://hdl.handle.net/10138/317250
Abstract: Competition among plants of the same species often results in power-law relations between measures of crowding, such as plant density, and average size, such as individual biomass. Yoda's self-thinning rule, the constant final yield rule, and metabolic scaling, all link individual plant biomass to plant density and are widely applied in crop, forest, and ecosystem management. These dictate how plant biomass increases with decreasing plant density following a given power-law exponent and a constant of proportionality. While the exponent has been proposed to be universal and thus independent of species, age, environmental, and edaphic conditions, different theoretical mechanisms yield absolute values ranging from less than 1 to nearly 2. Here, eight hypothetical mechanisms linking the exponent to constraints imposed on plant competition are featured and contrasted. Using dimensional considerations applied to plants growing isometrically, the predicted exponent is -3/2 (Yoda's rule). Other theories based on metabolic arguments and network transport predict an exponent of -4/3. These rules, which describe stand dynamics over time, differ from the "rule of constant final yield" that predicts an exponent of -1 between the initial planting density and the final yield attained across stands. The latter can be recovered from statistical arguments applied at the time scale in which the site carrying capacity is approached. Numerical models of plant competition produce plant biomass-density scaling relations with an exponent between -0.9 and -1.8 depending on the mechanism and strength of plant-plant interaction. These different mechanisms are framed here as a generic dynamical system describing the scaled-up carbon economy of all plants in an ecosystem subject to differing constraints. The implications of these mechanisms for forest management under a changing climate are discussed and recent research on the effects of changing aridity and site "quality" on self-thinning are highlighted.
Subject: constant final yield
mono-specific stand
plant biomass
plant competition
plant density
power-law
self-thinning
CARBON USE EFFICIENCY
PLANT SIZE
ASYMMETRIC COMPETITION
TREE GROWTH
DENSITY
MODEL
POPULATIONS
DYNAMICS
WEIGHT
FORESTS
11831 Plant biology
1181 Ecology, evolutionary biology
415 Other agricultural sciences
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