Our planet is changing at paces never observed before. Species extinction is happening at
faster rates than ever, greatly exceeding the five mass extinctions in the fossil record …

The observed architecture of ecological and socio-economic networks differssignificantly
from that of random networks. From a network science standpoint, non-random structural …

Classical theory shows that large communities are destabilized by random interactions
among species pairs, creating an upper bound on ecosystem diversity. However, species …

Networks composed of distinct, densely connected subsystems are called modular. In
ecology, it has been posited that a modular organization of species interactions would …

As modeling tools and approaches become more advanced, ecological models are
becoming more complex. Traditional sensitivity analyses can struggle to identify the …

What drives the stability, or instability, of complex ecosystems? This question sits at the heart
of community ecology and has motivated a large body of theoretical work exploring how …

May's stability theory, which holds that large ecosystems can be stable up to a critical level of
complexity, a product of the number of resident species and the intensity of their interactions …

This is part II of a review relating to the three classes of random non-Hermitian Gaussian
matrices introduced by Ginibre in 1965. While part I restricted attention to the GinUE (Ginibre …

For two competing species, intraspecific competition must exceed interspecific competition
for coexistence. To generalize this well-known criterion to multiple competing species, one …

Understanding stability—whether a community will eventually return to its original state after
a perturbation—is a major focus in the study of various complex systems, particularly …