Bifurcation theory, adaptive dynamics and dynamic energy budget-structured populations of iteroparous species
Bifurcation theory, adaptive dynamics and dynamic energy budget-structured populations of iteroparous species
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分叉理论、适应性动力学和迭代物种的动态能量预算结构种群
DOI：
10.1098/rstb.2010.0173
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
J. V. D. Meer
中科院分区：
文献类型：
--
作者：
B. Kooi;J. V. D. Meer
在本文中，我们描述了一种评估迭代物种产卵时间的进化动态的技术。物种的生命周期由胚胎、幼年和成年三个生命阶段组成，其中生命阶段的转变（配子发生、出生和成熟）发生在物种特定的大小。在半恒化环境中研究种群动态，其中流入的食物浓度是周期性的（每年）。基于动态能量预算的连续时间模型用于描述食物的吸收、储备的储存以及生长、维持、发育（胚胎、幼体）和繁殖（成体）的能量分配。离散事件过程用于建模再现。在一年中的固定产卵日期，繁殖缓冲区被清空，并且由具有固定大小和能量含量的卵形成新的群体。种群由群体组成：每年一个群体由年龄相同的个体组成，这些个体在最后一次繁殖事件后死亡。由此产生的数学模型是一组有限维常微分方程，具有固定的 1 年周期边界条件，可产生频闪图。我们将使用自适应动力学方法研究种群的进化发展。特点是产卵时间。使用频闪图的分叉分析来计算成对和相互侵入图。属于性状进化终点的进化奇异策略值可以解释种群的繁殖策略。在案例研究中，使用了双壳类 Macoma balthica 文献中的参数值。
In this paper, we describe a technique to evaluate the evolutionary dynamics of the timing of spawning for iteroparous species. The life cycle of the species consists of three life stages, embryonic, juvenile and adult whereby the transitions of life stages (gametogenesis, birth and maturation) occur at species-specific sizes. The dynamics of the population is studied in a semi-chemostat environment where the inflowing food concentration is periodic (annual). A dynamic energy budget-based continuous-time model is used to describe the uptake of the food, storage in reserves and allocation of the energy to growth, maintenance, development (embryos, juveniles) and reproduction (adults). A discrete-event process is used for modelling reproduction. At a fixed spawning date of the year, the reproduction buffer is emptied and a new cohort is formed by eggs with a fixed size and energy content. The population consists of cohorts: for each year one consisting of individuals with the same age which die after their last reproduction event. The resulting mathematical model is a finite-dimensional set of ordinary differential equations with fixed 1-year periodic boundary conditions yielding a stroboscopic map. We will study the evolutionary development of the population using the adaptive dynamics approach. The trait is the timing of spawning. Pairwise and mutual invasibility plots are calculated using bifurcation analysis of the stroboscopic map. The evolutionary singular strategy value belonging to the evolutionary endpoint for the trait allows for an interpretation of the reproduction strategy of the population. In a case study, parameter values from the literature for the bivalve Macoma balthica are used.