title: Linearity and scaling of a statistical model for the species abundance distribution.
abstract: We derive a linear recursion relation for the species abundance distribution in a statistical model of ecology and demonstrate the existence of a scaling solution.
authors.affiliation: Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801, USA.
authors.forename: Hector Garcia
authors.initials: HG
authors.lastname: Martin
authors.forename: Nigel
authors.initials: N
authors.lastname: Goldenfeld
mesh_terms: D000465:Algorithms; D004463:Ecology; D016014:Linear Models; D015233:Models, Statistical; D017711:Nonlinear Dynamics