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The effect of random dispersal on competitive exclusion - A review.
Mathematical Biosciences ( IF 1.9 ) Pub Date : 2019-11-01 , DOI: 10.1016/j.mbs.2019.108271
Léo Girardin 1
Affiliation  

Does a high dispersal rate provide a competitive advantage when risking competitive exclusion? To this day, the theoretical literature cannot answer this question in full generality. The present paper focuses on the simplest mathematical model with two populations differing only in dispersal ability and whose one-dimensional territories are spatially segregated. Although the motion of the border between the two territories remains elusive in general, all cases investigated in the literature concur: either the border does not move at all because of some environmental heterogeneity or the fast diffuser chases the slow diffuser. Counterintuitively, it is better to randomly explore the hostile enemy territory, even if it means highly probable death of some individuals, than to "stay united". This directly contradicts a celebrated result on the intermediate competition case, emphasizing the importance of the competition intensity. Overall, the larger picture remains unclear and the optimal strategy regarding dispersal remains ambiguous. Several open problems worthy of a special attention are raised.

中文翻译:

随机分散对竞争排斥的影响-评论。

当面临竞争排斥的风险时,高分散率是否会提供竞争优势?时至今日,理论文献还不能全面地回答这个问题。本文着重于最简单的数学模型,该模型具有两个仅在分散能力上不同的种群,并且其一维区域在空间上是隔离的。尽管一般来说,这两个领土之间边界的运动仍然难以捉摸,但文献中研究的所有情况都是一致的:要么边界由于某些环境异质性而完全不移动,要么快速扩散器追赶慢速扩散器。违反直觉,与“保持团结”相比,随机探索敌对的敌国领土更好,即使这意味着某些人极有可能死亡也是如此。这直接与中级竞争案的著名结果相矛盾,强调了竞争强度的重要性。总体而言,总体情况尚不清楚,有关分散的最佳策略仍然不明确。提出了几个值得特别注意的未解决问题。
更新日期:2019-11-01
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