Biomass allocation strategies shaping woody species adaptations to shade and drought

<p>Optimal partitioning theory predicts that plants allocate a greater proportion of biomass to the organs acquiring the most limiting resource when different environments challenge a given species (acclimation). Results are disputed when testing how biomass allocation patterns among species with contrasting tolerance of abiotic stress factors (adaptation) conform to optimal partitioning theory.</p><p>We tested the optimal partitioning theory by analyzing the relationships of proportional biomass allocation to leaves, stems and roots with species tolerance of shade and drought at a global scale including ~7000 observations for 604 woody species. The dataset spanned three plant functional types. In order to correct for ontogeny, differences among plant functional types at different levels of shade and drought tolerance were evaluated at three ontogenetic stages: seedlings, small trees and big trees. Adaptation and acclimation responses were also compared.</p><p>We did not find overarching biomass allocation patterns at different tolerance values across species even if tolerant and intolerant species rarely overlapped in the trait space. Biomass allocation mainly varied among plant functional types due to phenological (deciduous vs. evergreen broad-leaved species) and broad phylogenetical (angiosperms vs. gymnosperms) differences. Furthermore, the direction of biomass allocation responses between tolerant and intolerant species was often opposite compared to that predicted by the optimal partitioning theory.</p><p>Plant functional type is the major determinant of biomass allocation patterns in woody species at the global scale. Finally, interactions between ontogeny, plant functional type, species-specific stress tolerance<strong> </strong>adaptations (i.e. changes in organs surface area per unit dry mass), phenotypic plasticity or convergence in plant architecture can alter biomass allocation differences. All these factors permit woody species with different shade and drought tolerances to display multiple biomass partitioning strategies.</p>

Nitrogen addition affects plant biomass allocation but not allometric relationships among different organs across the globe

Aims Biomass allocation to different organs is a fundamental plant ecophysiological process to better respond to changing environments; yet, it remains poorly understood how patterns of biomass allocation respond to nitrogen (N) additions across terrestrial ecosystems worldwide. Methods We conducted a meta-analysis using 5474 pairwise observations from 333 articles to assess how N addition affected plant biomass and biomass allocation among different organs. We also tested the “ratio-based optimal partitioning” vs. the “isometric allocation” hypotheses to explain potential N addition effects on biomass allocation. Important findings We found that (1) N addition significantly increased whole plant biomass and the biomass of different organs, but decreased root:shoot ratio (RS) and root mass fraction (RMF) while no effects of N addition on leaf mass fraction (LMF) and stem mass fraction (SMF) at the global scale; (2) the effects of N addition on ratio-based biomass allocation were mediated by individual or interactive effects of moderator variables such as experimental conditions, plant functional types, latitudes, and rates of N addition; and (3) N addition did not affect allometric relationships among different organs, suggesting that decreases in RS and RMF may result from isometric allocation patterns following increases in whole plant biomass. Despite alteration of ratio-based biomass allocation between root and shoot by N addition, the unaffected allometric scaling relationships among different organs (including root vs. shoot) suggest that plant biomass allocation patterns are more appropriately explained by the isometric allocation hypothesis rather than the optimal partitioning hypothesis. Our findings contribute to better understand N-induced effects on allometric relationships of terrestrial plants, and suggest that these ecophysiological responses should be incorporated into models that aim to predict how terrestrial ecosystems may respond to enhanced N deposition under future global change scenarios.

On the Optimal Calculation of the Rice Coding Parameter

In this article, we design and evaluate several algorithms for the computation of the optimal Rice coding parameter. We conjecture that the optimal Rice coding parameter can be bounded and verify this conjecture through numerical experiments using real data. We also describe algorithms that partition the input sequence of data into sub-sequences, such that if each sub-sequence is coded with a different Rice parameter, the overall code length is minimised. An algorithm for finding the optimal partitioning solution for Rice codes is proposed, as well as fast heuristics, based on the understanding of the problem trade-offs.

Solving a Two-stage Continuous-discrete Problem of Optimal Partitioning-Allocation with Subsets Centers Placement

A two-stage continuous-discrete optimal partitioning-allocation problem is studied, and a method and an algorithm for its solving are proposed. This problem is a generalization of a classical transportation problem to the case when coordinates of the production points (collection, storage, processing) of homogeneous products are continuously allocated in the given domain and the production volumes at these points are unknown. These coordinates are found as a solution of the corresponding continuous optimal set-partitioning problem in a finite-dimensional Euclidean space with the placement (finding coordinates) of these subsets’ centers. Also, this problem generalizes discrete two-stage production-transportation problems to the case of continuously allocated consumers. The method and algorithm are illustrated by solving two model problems.