Samir Suweis - Università di Padova # Emerging patterns in Ecology: the species persistence-time distributions # Natural ecosystems are characterized by striking diversity of form and functions and yet exhibit deep symmetries emerging across scales of space, time and organizational complexity. Species-area relationships and species-abundance distributions are examples of emerging patterns irrespective of the details of the underlying ecosystem functions. We present empirical and theoretical evidence for a new macro-ecological pattern related to the distributions of local species persistence times, defined as the timespans between local colonization and extinctions in a given geographic region, and empirically estimated from local observations of species' presence- absence time series. Empirical distributions exhibit power-law scaling limited by a cut-off determined by the rate of emergence of new species. The scaling exponents depend solely on the structure of the spatial interaction network, regardless of the details of the ecological interactions, suggesting similarities between ecosystem dynamics and critical systems in physics. We also present generalize and solve analytically a related sampling problem. The framework developed here also allows to link the cut-off timescale with the spatial scale of analysis, and the persistence-time distribution to the species-area relationship. We conclude that the inherent coherence obtained between spatial and temporal macro-ecological patterns points at a seemingly general feature of the dynamical evolution of ecosystems.