Department of Ecology and Genetics, Evolutionary Biology Centre, Uppsala University, Uppsala, Sweden.
INRAE, BioSP, 84914, Avignon, France.
J Math Biol. 2023 Aug 26;87(3):47. doi: 10.1007/s00285-023-01981-x.
The environmental factors affecting plant reproduction and effective dispersal, in particular biotic interactions, have a strong influence on plant expansion dynamics, but their demographic and genetic consequences remain an understudied body of theory. Here, we use a mathematical model in a one-dimensional space and on a single reproductive period to describe the joint effects of predispersal seed insect predators foraging strategy and plant reproduction strategy (masting) on the spatio-temporal dynamics of seed sources diversity in the colonisation front of expanding plant populations. We show that certain foraging strategies can result in a higher seed predation rate at the colonisation front compared to the core of the population, leading to an Allee effect. This effect promotes the contribution of seed sources from the core to the colonisation front, with long-distance dispersal further increasing this contribution. As a consequence, our study reveals a novel impact of the predispersal seed predation-induced Allee effect, which mitigates the erosion of diversity in expanding populations. We use rearrangement inequalities to show that masting has a buffering role: it mitigates this seed predation-induced Allee effect. This study shows that predispersal seed predation, plant reproductive strategies and seed dispersal patterns can be intermingled drivers of the diversity of seed sources in expanding plant populations, and opens new perspectives concerning the analysis of more complex models such as integro-difference or reaction-diffusion equations.
影响植物繁殖和有效扩散的环境因素,特别是生物相互作用,对植物扩展动态有很强的影响,但它们的人口和遗传后果仍然是一个研究不足的理论领域。在这里,我们使用一维空间和单一繁殖期的数学模型来描述在扩展植物种群的定居前沿,种子扩散昆虫捕食者的预分散觅食策略和植物繁殖策略(结实)对种子源多样性的时空动态的联合影响。我们表明,某些觅食策略可能导致定居前沿的种子捕食率高于种群核心,从而产生阿利效应。这种效应促进了来自核心的种子源对定居前沿的贡献,远距离扩散进一步增加了这种贡献。因此,我们的研究揭示了预分散种子捕食引起的阿利效应的新影响,它减轻了扩展种群中多样性的侵蚀。我们使用重排不等式表明结实具有缓冲作用:它减轻了这种由种子捕食引起的阿利效应。这项研究表明,预分散种子捕食、植物繁殖策略和种子扩散模式可以相互交织,成为扩展植物种群中种子源多样性的驱动因素,并为分析更复杂的模型(如积分微分方程或反应扩散方程)开辟了新的视角。