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Published on: August 8, 2017
Genetic Allee effects and their interaction with ecological Allee effects
Meike J Wittmann1, Hanna Stuis2, Dirk Metzler3
1Faculty of Mathematics, University of Vienna, Vienna, Austria.
Genetic Allee effects, driven by inbreeding depression, can cause sharp extinction risks in small populations. These genetic factors interact with ecological Allee effects, impacting population viability.
Area of Science:
- Population Genetics
- Conservation Biology
- Ecological Dynamics
Background:
- Small populations face extinction risks from genetic factors like inbreeding depression and loss of genetic variation.
- It remains unclear if extinction risk from genetic causes escalates gradually or exhibits a sharp threshold with decreasing population size, akin to strong Allee effects.
Purpose of the Study:
- Define a 'strong genetic Allee effect' and identify conditions for its occurrence due to inbreeding depression from recessive deleterious mutations.
- Quantify the interplay between genetic Allee effects and the established mate-finding Allee effect.
Main Methods:
- Developed stochastic models analyzing the ecology and genetics of small populations.
- Defined a strong genetic Allee effect by a sigmoid relationship between initial population size and survival probability.
- Identified the critical population size as the inflection point of this sigmoid curve.
Main Results:
- Inbreeding depression can cause a strong genetic Allee effect if individuals carry a sufficient number of deleterious mutations (lethal equivalents).
- Populations may initially grow, then decline due to inbreeding, and potentially recover through purging of mutations.
- Interactions between ecological and genetic Allee effects can be additive or even superadditive.
Conclusions:
- Strong genetic Allee effects are expected within the range of lethal equivalents commonly found in birds and mammals.
- Extinction risks from genetic Allee effects can be underestimated due to initial population growth followed by a crash.
- Interactions between ecological and genetic Allee effects are significant and must be considered for population viability assessments.
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