Fort Joaquim
Complex Systems Laboratory and Departament de Física, Universitat de Girona, ES-17071 Girona, Catalonia, Spain.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 May;83(5 Pt 2):056124. doi: 10.1103/PhysRevE.83.056124. Epub 2011 May 27.
It is shown that Lotka-Volterra interaction terms are not appropriate to describe vertical cultural transmission. Appropriate interaction terms are derived and used to compute the effect of vertical cultural transmission on demic front propagation. They are also applied to a specific example, the Neolithic transition in Europe. In this example, it is found that the effect of vertical cultural transmission can be important (about 30%). On the other hand, simple models based on differential equations can lead to large errors (above 50%). Further physical, biophysical, and cross-disciplinary applications are outlined.
结果表明，洛特卡 - 沃尔泰拉相互作用项不适用于描述垂直文化传播。我们推导了合适的相互作用项，并用于计算垂直文化传播对人群边界传播的影响。它们还被应用于一个具体例子，即欧洲新石器时代的转变。在这个例子中，发现垂直文化传播的影响可能很重要（约30%）。另一方面，基于微分方程的简单模型可能会导致较大误差（超过50%）。本文还概述了进一步的物理、生物物理和跨学科应用。
