Paper 29 Disc FISH and FISHERIES, 2001, 2, 33±58 Depensation: evidence, models and implications Martin Liermann1 & Ray Hilborn2 1Quantitative Ecology and Resource Management, University of Washington, Seattle, WA 98115, USA; 2School of Fisheries Box 355020, University of Washington, Seattle, WA 98195, USA Abstract Correspondence: We review the evidence supporting depensation, describe models of two depensatory Martin Liermann, National Marine mechanisms and how they can be included in population dynamics models and Fisheries Service, discuss the implications of depensation. The evidence for depensation can be grouped North-west Fisheries into four mechanisms: reduced probability of fertilisation, impaired group dynamics, Science Center, 2725 Ahed conditioning of the environment and predator saturation. Examples of these Montlake Blvd. E., Bhed mechanisms come from a broad range of species including fishes, arthropods, birds, Seattle, WA 98112± Ched 2013, USA mammals and plants. Despite the large number of studies supporting depensatory Dhed Tel: +206 860 6781 mechanisms, there is very little evidence of depensation that is strong enough to be Fax: +206 860 3335 Ref marker important in a population's dynamics. However, because factors such as E-mail: martin. Fig marker demographic and environmental variability make depensatory population dynamics
[email protected] Table marker difficult to detect, this lack of evidence should not be interpreted as evidence that Ref end depensatory dynamics are rare and unimportant. The majority of depensatory models Ref start Received 22 Sep 2000 are based on reduced probability of fertilisation and predator saturation. We review Accepted 29Nov 2000 the models of these mechanisms and different ways they can be incorporated in population dynamics models.