Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Avda. Diagonal las Torres 2640, Peñalolén, Santiago, Chile.
Centro de Estudios Públicos, Monseñor Sótero Sanz 162, Providencia, Santiago, Chile.
Sci Rep. 2020 Oct 27;10(1):18338. doi: 10.1038/s41598-020-74805-3.
We study the dynamics of three populations evolving in a two-dimensional discrete grid according to rules of attraction, rejection, or indifference following the framework of the seminal model by Sakoda and we apply it to migration phenomena. An interesting feature of the Sakoda model is the existence of a Potts-like energy which, as a common principle, decreases as time passes by. Here we consider the evolution of two populations until stabilization, then, we perturb this attractor by the inclusion of a third arrival: the immigrants. We show the conditions under which this irruption does not alter significantly the previous attractor (a sociological morphostatic behaviour) or it is dramatically changed (morphogenetic behaviour). We observe empirically that for a morphostatic behaviour the energy decreases while for morphogenesis this energy increases, revealing an escalation of social tension.
我们根据 Sakoda 开创性模型的规则，研究了在二维离散网格中根据吸引力、排斥力或无差异进化的三个种群的动态，并将其应用于迁移现象。Sakoda 模型的一个有趣特征是存在类似于 Potts 的能量，作为一个普遍原理，随着时间的推移而减少。在这里，我们考虑两个种群的演化，直到达到稳定状态，然后，通过引入第三个到达者：移民，来干扰这个吸引子。我们展示了在什么条件下，这种入侵不会显著改变以前的吸引子（一种社会学的形态稳定行为）或会显著改变（形态发生行为）。我们通过经验观察到，对于形态稳定行为，能量会降低，而对于形态发生行为，能量会增加，这揭示了社会紧张局势的升级。
