Skip to main content
Log in

Variation in Allee effects: evidence, unknowns, and directions forward

  • Forum
  • Published:
Population Ecology

Abstract

Allee effects, positive effects of population size or density on per-capita fitness, are of broad interest in ecology and conservation due to their importance to the persistence of small populations and to range boundary dynamics. A number of recent studies have highlighted the importance of spatiotemporal variation in Allee effects and the resulting impacts on population dynamics. These advances challenge conventional understanding of Allee effects by reframing them as a dynamic factor affecting populations instead of a static condition. First, we synthesize evidence for variation in Allee effects and highlight potential mechanisms. Second, we emphasize the “Allee slope,” i.e., the magnitude of the positive effect of density on the per-capita growth rate, as a metric for demographic Allee effects. The more commonly used quantitative metric, the Allee threshold, provides only a partial picture of the underlying forces acting on population growth despite its implications for population extinction. Third, we identify remaining unknowns and strategies for addressing them. Outstanding questions about variation in Allee effects fall broadly under three categories: (1) characterizing patterns of natural variability; (2) understanding mechanisms of variation; and (3) implications for populations, including applications to conservation and management. Future insights are best achieved through robust interactions between theory and empiricism, especially through mechanistic models. Understanding spatiotemporal variation in the demographic processes contributing to the dynamics of small populations is a critical step in the advancement of population ecology.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2

Similar content being viewed by others

Notes

  1. In many models and empirical populations, the relationship between density and growth rate is nonlinear. This concept can be extended as the first derivative of the density-growth rate relationship at the Allee threshold, or perhaps averaged around the Allee threshold or over a range of low population densities.

References

  • Allee WC (1931) Animal aggregations. The University of Chicago Press, Chicago

    Google Scholar 

  • Amarasekare P (1998a) Interactions between local dynamics and dispersal: insights from single species models. Theor Popul Biol 53:44–59

    Article  CAS  PubMed  Google Scholar 

  • Amarasekare P (1998b) Allee effects in metapopulation dynamics. Am Nat 152:298–302

    Article  CAS  PubMed  Google Scholar 

  • Angulo E, Roemer GW, Berec L, Gascoigne J, Courchamp F (2007) Double Allee effects and extinction in the island fox. Conserv Biol 21:1082–1091

    Article  PubMed  Google Scholar 

  • Aviles L (1999) Cooperation and non-linear dynamics: an ecological perspective on the evolution of sociality. Evol Ecol Res 1:459–477

    Google Scholar 

  • Berec L, Angulo E, Courchamp F (2007) Multiple Allee effects and population management. Trends Ecol Evol 22:185–191

    Article  PubMed  Google Scholar 

  • Budroni MA, Farris E, Zirulia A, Pisanu S, Filigheddu R, Rusitici M (2014) Evidence for age-structured depensation effect in fragmented plant populations: the case of the Mediterranean endemic Anchusa sardoa (Boraginaceae). Ecol Complex 20:142–150

    Article  Google Scholar 

  • Bürgi LP, Roltsch WJ, Mills NJ (2014) Allee effects and population regulation: a test for biotic resistance against an invasive leafroller by resident parasitoids. Popul Ecol 57:215–225

    Article  Google Scholar 

  • Contarini M, Onufrieva KS, Thorpe KW, Raffa KF, Tobin PC (2009) Mate-finding failure as an important cause of Allee effects along the leading edge of an invading insect population. Entomol Exp Appl 133:307–314

    Article  Google Scholar 

  • Courchamp F, Clutton-Brock T, Grenfell B (1999) Inverse density dependence and the Allee effect. Trends Ecol Evol 14:405–410

    Article  CAS  PubMed  Google Scholar 

  • Courchamp F, Berec L, Gascoigne J (2008) Allee effects in ecology and conservation. Oxford University Press, Oxford

    Book  Google Scholar 

  • Dooley CA, Bonsall MB, Brereton T, Oliver T (2013) Spatial variation in the magnitude and functional form of density-dependent processes on the large skipper butterfly Ochlodes sylvanus. Ecol Entomol 38:608–616

    Article  Google Scholar 

  • Fagan WF, Cosner C, Larsen EA, Calabrese JM (2010) Reproductive asynchrony in spatial population models: how mating behavior can modulate Allee effects arising from isolation in both space and time. Am Nat 175:362–373

    Article  PubMed  Google Scholar 

  • Gascoigne JC, Lipcius RN (2004) Allee effects driven by predation. J Appl Ecol 41:801–810

    Article  Google Scholar 

  • Gascoigne J, Berec L, Gregory S, Courchamp F (2009) Dangerously few liaisons: a review of mate-finding Allee effects. Popul Ecol 51:355–372

    Article  Google Scholar 

  • Gray DK, Arnott SE (2011) The interplay between environmental conditions and Allee effects during the recovery of stressed zooplankton communities. Ecol Appl 21:2652–2663

    Article  PubMed  Google Scholar 

  • Gregory SD, Bradshaw CJA, Brook BW, Courchamp F (2010) Limited evidence for the demographic Allee effect from numerous species across taxa. Ecology 91:2151–2161

    Article  PubMed  Google Scholar 

  • Gruntfest Y, Arditi R, Dombrovsky Y (1997) A fragmented population in a varying environment. J Theor Biol 185:539–547

    Article  Google Scholar 

  • Hastings A, Cuddington K, Davies KF, Dugaw CJ, Elmendorf S, Freestone A, Harrison S, Holland M, Lambrinos J, Malvadkar U, Melbourne BA, Moore K, Taylor C, Thomson D (2005) The spatial spread of invasions: new developments in theory and evidence. Ecol Lett 8:91–101

    Article  Google Scholar 

  • Haynes KJ, Liebhold AM, Fearer TM, Wang G, Norman GW, Johnson DM (2009) Spatial synchrony propagates through a forest food web via consumer-resource interactions. Ecology 90:2974–2983

    Article  PubMed  Google Scholar 

  • Hoffman JD, Genoways HH, Jones RR (2010) Factors influencing long-term population dynamics of pronghorn (Antilocapra americana): evidence of an Allee effect. J Mammal 91:1124–1134

    Article  Google Scholar 

  • Hoppensteadt FC (1982) Mathematical models of population biology. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Johnson DM, Liebhold AM, Tobin PC, Bjørnstad ON (2006) Allee effects and pulsed invasion by the gypsy moth. Nature 444:361–363

    Article  CAS  PubMed  Google Scholar 

  • Kaul RB, Kramer AM, Dobbs FC, Drake JM (2016) Experimental demonstration of an Allee effect in microbial populations. Biol Lett 12:20160070

    Article  PubMed  PubMed Central  Google Scholar 

  • Keitt TH, Lewis MA, Holt RD (2001) Allee effects, invasion pinning, and species’ borders. Am Nat 157:203–216

    CAS  PubMed  Google Scholar 

  • Kramer AM, Drake JM (2010) Experimental demonstration of population extinction due to a predator-driven Allee effect. J Anim Ecol 79:633–639

    Article  PubMed  Google Scholar 

  • Kramer AM, Dennis B, Liebhold AM, Drake JM (2009) The evidence for Allee effects. Popul Ecol 51:341–354

    Article  Google Scholar 

  • Kramer AM, Sarnelle O, Yen J (2011) The effect of mating behavior and temperature variation on the critical population density of a freshwater copepod. Limnol Oceanogr 56:707–715

    Article  Google Scholar 

  • Larsen E, Calabrese JM, Rhainds M, Fagan WF (2013) How protandry and protogyny affect female mating failure: a spatial population model. Entomol Exp Appl 146:130–140

  • Lee AM, Saether B-E, Engen S (2011) Demographic stochasticity, allee effects, and extinction: the influence of mating system and sex ratio. Am Nat 177:301–313

    Article  PubMed  Google Scholar 

  • Leung B, Drake JM, Lodge DM (2004) Predicting invasions: propagule pressure and the gravity of Allee effects. Ecology 85:1651–1660

    Article  Google Scholar 

  • Lewis MA, Kareiva P (1993) Allee dynamics and the spread of invading organisms. Theor Popul Biol 43:141–158

    Article  Google Scholar 

  • Lynch HJ, Rhainds M, Calabrese JM, Cantrell S, Cosner C, Fagan WF (2014) How climate extremes—not means—define a species’ geographic range boundary via a demographic tipping point. Ecol Monogr 84:131–149

    Article  Google Scholar 

  • Morozov A, Petrovskii S, Li B-L (2004) Bifurcations and chaos in a predator-prey system with the Allee effect. Proc R Soc Lond B 271:1407–1414

    Article  Google Scholar 

  • Morris DW (2002) Measuring the Allee effect: positive density dependence in small mammals. Ecology 83:14–20

    Article  Google Scholar 

  • Myers RA, Barrowman NJ, Hutchings JA, Rosenberg AA (1995) Population dynamics of exploited fish stocks at low population levels. Science 269:1106–1108

    Article  CAS  PubMed  Google Scholar 

  • Ovadia O, Schmitz OJ (2004) Weather variation and trophic interaction strength: sorting the signal from the noise. Oecologia 140:398–406

    Article  PubMed  Google Scholar 

  • Potapov A, Rajakaruna H (2013) Allee threshold and stochasticity in biological invasions: colonization time at low propagule pressure. J Theor Biol 337:1–14

    Article  PubMed  Google Scholar 

  • Rajakaruna H, Potapov A, Lewis MA (2013) Impact of stochasticity in immigration and reintroduction on colonizing and extirpating populations. Theor Popul Biol 85:38–48

    Article  PubMed  Google Scholar 

  • Ribeiro FL (2015) A non-phenomenological model of competition and cooperation to explain population growth behaviors. Bull Math Biol 77:409–433

    Article  PubMed  Google Scholar 

  • Robinet C, Liebhold AM, Gray D (2007) Variation in developmental time affects mating success and Allee effects. Oikos 116:1227–1237

    Article  Google Scholar 

  • Robinet C, Lance DR, Thorpe KW, Onufrieva KS, Tobin PC, Liebhold AM (2008) Dispersion in time and space affect mating success and Allee effects in invading gypsy moth populations. J Anim Ecol 77:966–973

    Article  CAS  PubMed  Google Scholar 

  • Shaw AK, Kokko H (2014) Mate finding, Allee effects and selection for sex-biased dispersal. J Anim Ecol 3:1256–1267

    Article  Google Scholar 

  • Stenglein JL, Van Deelen TR (2016) Demographic and component Allee effects in southern lake superior gray wolves. PLoS One 11:e0150535

    Article  PubMed  PubMed Central  Google Scholar 

  • Stephens PA, Sutherland WJ (1999) Consequences of the Allee effect for behaviour, ecology and conservation. Trends Ecol Evol 14:401–405

    Article  CAS  PubMed  Google Scholar 

  • Stephens PA, Sutherland WJ, Freckleton RP (1999) What is the Allee effect? Oikos 87:185–190

    Article  Google Scholar 

  • Sugeno M, Munch SB (2013) A semiparametric Bayesian method for detecting Allee effects. Ecology 94:1196–1204

    Article  PubMed  Google Scholar 

  • Takeuchi Y (1996) Global dynamical properties of Lotka-Volterra systems. World Scientific Publishing Co., Singapore

    Book  Google Scholar 

  • Tobin PC, Whitmire SL, Johnson DM, Bjørnstad ON, Liebhold AM (2007) Invasion speed is affected by geographical variation in the strength of Allee effects. Ecol Lett 10:36–43

    Article  PubMed  Google Scholar 

  • Tobin PC, Berec L, Liebhold AM (2011) Exploiting Allee effects for managing biological invasions. Ecol Lett 14:615–624

    Article  PubMed  Google Scholar 

  • Wagenius S, Lonsdorf E, Neuhauser C (2007) Patch aging and the S-Allee effect: breeding system effects on the demographic response of plants to habitat fragmentation. Am Nat 169:383–397

    PubMed  Google Scholar 

  • Walter JA, Meixler MS, Mueller T, Fagan WF, Tobin PC, Haynes KJ (2015) How topography induces reproductive asynchrony and alters gypsy moth invasion dynamics. J Anim Ecol 84:188–198

    Article  PubMed  Google Scholar 

  • Walter JA, Firebaugh AL, Tobin PC, Haynes KJ (2016) Invasion in patchy landscapes is affected by dispersal mortality and mate-finding failure. Ecology 97:3389–3401

    Article  PubMed  Google Scholar 

  • Walter JA, Johnson DM, Haynes KJ (2017) Spatial variation in Allee effects influences patterns of range expansion. Ecography 40:179–188

    Article  Google Scholar 

  • Wang M, Kot M (2001) Speeds of invasion in a model with strong or weak Allee effects. Math Biosci 171:83–97

    Article  CAS  PubMed  Google Scholar 

  • Wang M, Kot M, Neubert MG (2002) Integrodifference equations, Allee effects, and invasions. Math Biol 168:150–168

    Article  Google Scholar 

Download references

Acknowledgements

We thank Kyle Haynes and Sandy Liebhold for helpful discussions and comments on earlier drafts of this manuscript. Two anonymous reviewers also provided helpful comments. This research was partially funded by an Award of Domestic Cooperative Agreement from the United States Department of Agriculture, Northeastern Area (13-CA-11420004-231) to DMJ. JAW was supported by a United States Department of Agriculture National Institute of Food and Agriculture Postdoctoral Fellowship grant 2016-67012-24694 and KLG was supported by USDA NIFA Fellowship Grant 2014-67012-23539.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jonathan A. Walter.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Walter, J.A., Grayson, K.L. & Johnson, D.M. Variation in Allee effects: evidence, unknowns, and directions forward. Popul Ecol 59, 99–107 (2017). https://doi.org/10.1007/s10144-017-0576-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10144-017-0576-3

Keywords

Navigation