Optimising the success of random destructive searches: Levy walks can outperform ballistic motions

Optimising the success of random destructive searches: Levy walks can outperform ballistic motions
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DOI:
10.1016/j.jtbi.2009.05.033
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发表时间:
2009-09-07
影响因子:
2
通讯作者:
Bartumeus, F.
Bartumeus, F.
中科院分区:
生物学4区
文献类型:
--
作者:
Reynolds, A. M.;Bartumeus, F.

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我们重新评估长期以来和广泛持有的信念,即弹道运动(即直线运动)优于利维行走时,搜索目标,一旦定位不重访。这种信念源于一维搜索的分析结果,这些分析没有考虑到目标数量在搜索过程中会不断耗尽的事实。这是一个关键的疏忽,因为持续的消耗促进了某些Levy行走的搜索效率高于弹道运动的搜索效率。连续的耗尽效应对于二维和三维搜索不是那么重要。尽管如此,我们表明,利维散步和弹道运动可以同样或几乎同样有效的搜索时,在二维和三维环境中的随机和稀疏分布的目标,或搜索时,偶尔隐藏的目标。我们还表明,利维散步是有利的,当搜索目标,偶尔可以逃避捕获。这些情况代表了常见的捕食者-猎物的相互作用,其中捕食者参与了“不完美的破坏性”搜索。我们的模型表明,占共同进化的军备竞赛在捕食者-猎物的检测/反应尺度可以在一定程度上解释利维步行搜索模式的捕食者在更大的尺度。这一结果提供了新的见解利维步行运动模式的一些破坏性的老年人。(C)2009爱思唯尔有限公司保留所有权利。
We re-evaluate the long standing and widely held belief that ballistic movements (i.e. straight-lines movements) outperform Levy walks when searching for targets that once located are not revisited. The belief stems from the results of analyses of one-dimensional searches, analyses which have not accounted for the fact that target numbers can be continually depleted during the search process. this is a crucial oversight because continual depletion promotes the searching efficiencies of some Levy walks above that of ballistic motion. the continual depletion effect is not so important for two- and three-dimensional searches. Nevertheless, we show that Levy walks and ballistic movements can be equally or almost equally effective when searching within two- and three-dimensional environments for randomly and sparsely distributed targets or when searching for targets that are occasionally concealed. We also show that Levy walks are advantageous when searching for targets that can occasionally evade capture. These situations represent common predator-prey interactions in which predators are involved in 'imperfect destructive' searches. Our model suggests that accounting for coevolutionary arms races at the predator-prey detection/reaction scales can explain to some extent Levy walk searching patterns of predators at larger scales. This result provides new insights into the Levy walk movement patterns of some destructive for agers. (C) 2009 Elsevier Ltd. All rights reserved.