Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany.
Max Planck Institute of Animal Behavior, Radolfzell, Germany.
PLoS One. 2023 Oct 5;18(10):e0286922. doi: 10.1371/journal.pone.0286922. eCollection 2023.
To see how the flow of energy across ecosystems can derive evolution, I introduce a framework in which individuals interact with their peers and environment to accumulate resources, and use the resources to pay for their metabolic costs, grow and reproduce. I show that two conservation principles determine the system's equilibrium state: conservation of resources- a physical principle stating that in the equilibrium, resource production and consumption should balance, and payoff equality- an economic principle, stating that the payoffs of different types in equilibrium should equal. Besides the equilibrium state, the system shows non-equilibrium fluctuations derived by the exponential growth of the individuals in which the payoff equality principle does not hold. A simple gradient-ascend dynamical mean-field equation predicts the onset of non-equilibrium fluctuations. As an example, I study the evolution of cooperation in public goods games. In both mixed and structured populations, cooperation evolves naturally in resource-poor environments but not in resource-rich environments. Population viscosity facilitates cooperation in poor environments but can be detrimental to cooperation in rich environments. In addition, cooperators and defectors show different life-history strategies: Cooperators live shorter lives and reproduce more than defectors. Both population structure and, more significantly, population viscosity reduce lifespan and life history differences between cooperators and defectors.
为了研究生态系统能量流动如何导致进化,我引入了一个框架,其中个体与同伴和环境相互作用以积累资源,并利用资源支付代谢成本、生长和繁殖。我表明,两个守恒原则决定了系统的平衡状态:资源守恒——这是一个物理原则,指出在平衡时,资源的生产和消耗应该平衡;收益均等——这是一个经济原则,指出在平衡时不同类型的收益应该相等。除了平衡状态外,系统还表现出由个体的指数增长产生的非平衡波动,其中收益均等原则不成立。一个简单的梯度上升动力平均场方程预测了非平衡波动的发生。作为一个例子,我研究了公共物品博弈中的合作进化。在混合和结构种群中,合作在资源匮乏的环境中自然进化,但在资源丰富的环境中则不会。种群粘性有利于在贫困环境中促进合作,但在富裕环境中可能对合作有害。此外,合作者和叛徒表现出不同的生活史策略:合作者的寿命较短,繁殖次数多于叛徒。种群结构,更重要的是,种群粘性降低了合作者和叛徒之间的寿命和生活史差异。