AI 中文总结
该研究通过细胞分裂极简模型，发现环境共享可驱动保护性储备遗传的对称性破缺，在α≈0.2处选择出非对称遗传分支，该分支具有抗集体波动的优势。
AI 中文摘要
环境共享即使每个谱系经历的边际统计量保持不变，也会改变多样化的价值。细胞分裂的极简模型将该效应与保守保护性储备的遗传相耦合：每个母细胞将其储备分配给两个子细胞，每种固定分配策略会生成一个随机人口算子，其最大李雅普诺夫指数决定长期增长。弱环境共享有利于对称遗传，而充分共享的创新会在α≈0.2附近选择出一个分离的非对称分支，因此转变通过有限分支交叉而非从均等分配的连续偏离发生。当保护定律或储备周转率改变时，非对称相持续存在，尽管其边界取决于保护非线性和储备记忆。由于共享与私有环境创新具有相同的边际统计量，平均生殖算子与共享创新占比无关。主导模式二阶近似将非对称优势分离为专业化的平均算子增长成本和对集体波动敏感性的降低，该近似预测了全随机算子动力学选择的有限非对称分支，而全算子乘积决定数值交叉。因此，当谱系间多样化损失提升了分裂时产生的多样化价值时，环境共享可驱动保守保护性资源遗传的对称性破缺。
英文摘要
Environmental sharing changes the value of diversification even when the marginal statistics experienced by each lineage remain unchanged. A minimal model of cell division couples this effect to the inheritance of a conserved protective reserve. Each mother partitions its reserve between two daughters, and each fixed partition policy generates a random demographic operator whose top Lyapunov exponent determines long-term growth. Weak environmental sharing favors symmetric inheritance, whereas sufficiently shared innovation selects a separated asymmetric branch near {α\simeq 0.2}. The transition therefore occurs by a finite branch crossing rather than by a continuous departure from equal partition. The asymmetric phase persists when the protection law or reserve turnover is changed, although its boundary depends on protection nonlinearity and reserve memory. Because shared and private environmental innovations have identical marginal statistics, the mean reproductive operator is independent of the shared-innovation fraction. A dominant-mode second-order approximation then separates the asymmetric advantage into a mean-operator growth cost of specialization and a reduction of sensitivity to collective fluctuations. This approximation predicts the finite asymmetric branch selected by the full random-operator dynamics, while the full operator product determines the numerical crossing. Environmental sharing can therefore drive symmetry breaking in the inheritance of a conserved protective resource when the loss of diversification between lineages increases the value of diversification generated at division.
