反应阈值模型中不断演变的分工

IF 3.1 3区 环境科学与生态学 Q2 ECOLOGY Ecological Complexity Pub Date : 2024-04-26 DOI:10.1016/j.ecocom.2024.101083
José F. Fontanari , Viviane M. de Oliveira , Paulo R.A. Campos
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引用次数: 0

摘要

反应阈值模型通过假设个体对不同任务具有不同的工作倾向,来解释非结构化群体中分工(即任务专业化)的出现。当某项任务被闲置时,个体关注该任务的积极性会增加,而当个体从事该任务时,关注该任务的积极性会降低。在此,我们推导出了刺激动态的均场方程,并证明当干扰阈值的噪声较小时,它们会通过周期加倍的分岔级联表现出复杂的吸引子。此外,我们还展示了如何设置固定阈值,以确保在刺激动态的瞬态和平衡态下都能实现特化。然而,要完整解释分工的出现,我们必须从同质种群出发,解决阈值变化从何而来的问题。我们随后研究了一种结构化种群情景,即种群被划分为大量规模相等的独立群体,群体的适应性与固定时间内完成任务的加权平均工作量成正比。我们采用赢者通吃的策略来模拟群体竞争,并假设最初的元种群是同质的,结果发现有相当一部分工人专门从事每项任务,而无需对任务转换进行惩罚。
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Evolving division of labor in a response threshold model

The response threshold model explains the emergence of division of labor (i.e., task specialization) in an unstructured population by assuming that the individuals have different propensities to work on different tasks. The incentive to attend to a particular task increases when the task is left unattended and decreases when individuals work on it. Here we derive mean-field equations for the stimulus dynamics and show that they exhibit complex attractors through period-doubling bifurcation cascades when the noise disrupting the thresholds is small. In addition, we show how the fixed threshold can be set to ensure specialization in both the transient and equilibrium regimes of the stimulus dynamics. However, a complete explanation of the emergence of division of labor requires that we address the question of where the threshold variation comes from, starting from a homogeneous population. We then study a structured population scenario, where the population is divided into a large number of independent groups of equal size, and the fitness of a group is proportional to the weighted mean work performed on the tasks during a fixed period of time. Using a winner-take-all strategy to model group competition and assuming an initial homogeneous metapopulation, we find that a substantial fraction of workers specialize in each task, without the need to penalize task switching.

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来源期刊
Ecological Complexity
Ecological Complexity 环境科学-生态学
CiteScore
7.10
自引率
0.00%
发文量
24
审稿时长
3 months
期刊介绍: Ecological Complexity is an international journal devoted to the publication of high quality, peer-reviewed articles on all aspects of biocomplexity in the environment, theoretical ecology, and special issues on topics of current interest. The scope of the journal is wide and interdisciplinary with an integrated and quantitative approach. The journal particularly encourages submission of papers that integrate natural and social processes at appropriately broad spatio-temporal scales. Ecological Complexity will publish research into the following areas: • All aspects of biocomplexity in the environment and theoretical ecology • Ecosystems and biospheres as complex adaptive systems • Self-organization of spatially extended ecosystems • Emergent properties and structures of complex ecosystems • Ecological pattern formation in space and time • The role of biophysical constraints and evolutionary attractors on species assemblages • Ecological scaling (scale invariance, scale covariance and across scale dynamics), allometry, and hierarchy theory • Ecological topology and networks • Studies towards an ecology of complex systems • Complex systems approaches for the study of dynamic human-environment interactions • Using knowledge of nonlinear phenomena to better guide policy development for adaptation strategies and mitigation to environmental change • New tools and methods for studying ecological complexity
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