The SAMSARA effect: a Brownian motion of coefficients of determination in Ecological Models

A flow equation obtained through multiple linear regression is a static con cept, fixed for a time t. However, experience says that the temporal compon ent makes the information obtained from the flow equation change in terms o f the coefficient of determination. In this paper we show that a 1-degree variation in such coefficients behave s like a Brownian motion based on a gaussian distribution. Such motion is c alled here the Samsara effect of the coefficients of determination. We then use a practical real case to show how this effect works in practice when a nalyzing ecological models.