Synonymy relationship and stochastic processes in determination of flow equations in ecological models

•Flow equations in ecological models.•Analyses of ecological models.•Wiener process based and Gaussian distribution.•Flow equations in ecological models.•Mathematical formulation of ecological systems.

A flow equation obtained through multiple linear regressions is a static concept fixed for a time t. However, experience says that the temporal component makes the information obtained from the flow equation in terms of coefficients of determination. In this paper we show that a 1-degree variation in such coefficients behaves like a Wiener process based on the Gaussian distribution. As an application, we study the destruction of fruits in Cistus albidus L.