Université de Fribourg

Asymmetric dispersal in the multi-patch logistic equation

Arditi, Roger ; Lobry, Claude ; Sari, Tewfik

In: Theoretical Population Biology, 2018, vol. 120, p. 11–15

The standard model for the dynamics of a fragmented density-dependent population is built from several local logistic models coupled by migrations. First introduced in the 1970s and used in innumerable articles, this standard model applied to a two-patch situation has never been fully analyzed. Here, we complete this analysis and we delineate the conditions under which fragmentation...

Université de Fribourg

The perfect mixing paradox and the logistic equation: Verhulst vs. Lotka

Arditi, Roger ; Bersier, Louis-Félix ; Rohr, Rudolf P.

In: Ecosphere, 2016, vol. 7, no. 11, p. e01599

A theoretical analysis of density-dependent population dynamics in two patches sheds novel light on our understanding of basic ecological parameters. Firstly, as already highlighted in the literature, the use of the traditional r-K parameterization for the logistic equation (due to Lotka and Gause) can lead to paradoxical situations. We show that these problems do not exist with Verhulst's...

Université de Fribourg

Is dispersal always beneficial to carrying capacity? New insights from the multi-patch logistic equation

Arditi, Roger ; Lobry, Claude ; Sari, Tewfik

In: Theoretical Population Biology, 2015, vol. 106, p. 45–59

The standard model for the dynamics of a fragmented density-dependent population is built from several local logistic models coupled by migrations. First introduced in the 1970s and used in innumerable articles, this standard model applied to a two-patch situation has never been completely analysed. Here, we complete this analysis and we delineate the conditions under which fragmentation...

Université de Fribourg

Selection on stability across ecological scales

Borrelli, Jonathan J. ; Allesina, Stefano ; Amarasekare, Priyanga ; Arditi, Roger ; Chase, Ivan ; Damuth, John ; Holt, Robert D. ; Logofet, Dmitrii O. ; Novak, Mark ; Rohr, Rudolf P. ; Rossberg, Axel G. ; Spencer, Matthew ; Tran, J. Khai ; Ginzburg, Lev R.

In: Trends in Ecology & Evolution, 2015, vol. 30, no. 7, p. 417–425

Much of the focus in evolutionary biology has been on the adaptive differentiation among organisms. It is equally important to understand the processes that result in similarities of structure among systems. Here, we discuss examples of similarities occurring at different ecological scales, from predator–prey relations (attack rates and handling times) through communities (food-web structures)...