集体迁移中的适应性网络动力学与领导力演化
Adaptive Network Dynamics and Evolution of Leadership in Collective Migration
摘要：
移民群体领导力的演变不仅取决于领导力投资的成本和收益，还取决于个人通过社会互动依赖他人线索的机会。我们推导出一个易于分析的集体迁移的自适应动态网络模型，具有快速的时间尺度迁移动力学和缓慢的时间尺度自适应动力学的个人领导投资和社会互动。对于大量的人口，我们的分析分叉投资成本解释了观察到的滞后效应与恢复移民在支离破碎的环境。此外，我们显示了一个最小的连接阈值以上，有进化分支到领导者和追随者的人口。对于小群体，我们展示了底层社会互动网络的拓扑结构如何影响适应系统中领导者的出现和位置。我们的模型和分析可以描述其他自适应网络动态，包括对嘈杂的未知信号的集体跟踪或集体学习，同样可以为机器人网络的设计提供信息，其中代理使用分散的策略来平衡直接的环境测量与代理交互。
英文摘要：
The evolution of leadership in migratory populations depends not only on costs and benefits of leadership investments but also on the opportunities for individuals to rely on cues from others through social interactions. We derive an analytically tractable adaptive dynamic network model of collective migration with fast timescale migration dynamics and slow timescale adaptive dynamics of individual leadership investment and social interaction. For large populations, our analysis of bifurcations with respect to investment cost explains the observed hysteretic effect associated with recovery of migration in fragmented environments. Further, we show a minimum connectivity threshold above which there is evolutionary branching into leader and follower populations. For small populations, we show how the topology of the underlying social interaction network influences the emergence and location of leaders in the adaptive system. Our model and analysis can describe other adaptive network dynamics involving collective tracking or collective learning of a noisy, unknown signal, and likewise can inform the design of robotic networks where agents use decentralized strategies that balance direct environmental measurements with agent interactions.
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