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Keywords
(8)
allee effect
Greater Yellowstone Ecosystem
Mathematical Model
Population Growth
spatially explicit
spatially explicit model
Wolves
Low Density
Related Publications
(5)
Allee effects, mating systems and the extinction risk in populations with two sexes
How predation can slow, stop or reverse a prey invasion
Pathogens can slow down or reverse invasion fronts of their hosts
ALLEE DYNAMICS AND THE SPREAD OF INVADING ORGANISMS
Allee effects and pulsed invasion by the gypsy moth
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A spatially explicit model for an Allee effect: Why wolves recolonize so slowly in Greater Yellowstone
A spatially explicit model for an Allee effect: Why wolves recolonize so slowly in Greater Yellowstone,10.1016/j.tpb.2006.06.009,Theoretical Populatio
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A spatially explicit model for an Allee effect: Why wolves recolonize so slowly in Greater Yellowstone
(
Citations: 19
)
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Amy Hurford
,
Mark Hebblewhite
,
Mark A. Lewis
A reduced probability of finding mates at low densities is a frequently hypothesized mechanism, for a component Allee effect. At low densities dispersers are less likely to find mates and establish new breeding units. However, many mathematical models for an
Allee effect
do not make a distinction between breeding group establishment and subsequent population growth. Our objective is to derive a
spatially explicit
mathematical model, where dispersers have a reduced probability of finding mates at low densities, and parameterize the model for wolf recolonization in the
Greater Yellowstone Ecosystem
(GYE). In this model, only the probability of establishing new breeding units is influenced by the reduced probability of finding mates at low densities. We analytically and numerically solve the model to determine the effect of a decreased probability in finding mates at low densities on population spread rate and density. Our results suggest that a reduced probability of finding mates at low densities may slow recolonization rate. (c) 2006 Elsevier Inc. All rights reserved.
Journal:
Theoretical Population Biology  THEOR POP BIOL
, vol. 70, no. 3, pp. 244254, 2006
DOI:
10.1016/j.tpb.2006.06.009
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Citation Context
(9)
...after a reintroduction (Wiegand et al. 2004b;
Hurford et al. 2006
)...
Stephanie KramerSchadtTobias
,
et al.
Analyzing the effect of stepping stones on target patch colonisation i...
...The ‘Allee effect’, and the explanatory schema behind it, has proved very helpful in describing real world situations and planning conservation measures of small populations as usually are the populations of rare species and of species in protected areas (
Hurford et al. 2006;
Penteriani et al. 2008)...
Tasos Hovardas
,
et al.
Towards a Critical ReAppraisal of Ecology Education: Scheduling an Edu...
...However some progress has been made identifying landscape features that predict species presence, persistence and dispersal [19]; using analytic spatially explicit models to determine population spread rates [
20
] and growth rates [21]; and using our system to study how landscape framentation affects predatorvole dynamics [22]...
Richard M Sibly
,
et al.
The effects of spatial and temporal heterogeneity on the population dy...
...In onedimensional models, Allee effect has also been shown to slowdown invasions (
Hurford et al. 2006
), or even to stop or reverse invasions in presence of predators (Owen and Lewis 2001), or pathogens (Hilker et al. 2005)...
Lionel Roques
,
et al.
A population facing climate change: joint influences of Allee effects ...
...Caswell & Weeks 1986; Lindstro ¨m & Kokko 1998; Ranta et al. 1999; BessaGomes et al. 2004; Rankin & Kokko 2007); the application of twosex models to biological data remains scarce (but see Stephens et al. 2002;
Hurford et al. 2006
)...
Peter K. Molnar
,
et al.
Modelling the mating system of polar bears: a mechanistic approach to ...
References
(24)
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(
Citations: 404
)
Franck Courchamp
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Journal:
Trends in Ecology and Evolution
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DEMOGRAPHIC STOCHASTICITY AND ALLEE EFFECTS IN POPULATIONS WITH TWO SEXES
(
Citations: 46
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Steinar Engen
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Journal:
Ecology
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The wave of advance of advantageous genes
(
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R. A. Fisher
Dispersal data and the spread of invading organisms
(
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ALLEE DYNAMICS AND THE SPREAD OF INVADING ORGANISMS
(
Citations: 191
)
M. A. Lewis
,
P. Kareiva
Journal:
Theoretical Population Biology  THEOR POP BIOL
, vol. 43, no. 2, pp. 141158, 1993
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Citations
(19)
Analyzing the effect of stepping stones on target patch colonisation in structured landscapes for Eurasian lynx
Stephanie KramerSchadtTobias
,
Tobias S. Kaiser
,
Karin Frank
,
Thorsten Wiegand
Journal:
Landscape Ecology  LANDSCAPE ECOL
, vol. 26, no. 4, pp. 501513, 2011
Building the bridge between animal movement and population dynamics
(
Citations: 4
)
J. M. Morales
,
P. R. Moorcroft
,
J. Matthiopoulos
,
J. L. Frair
,
J. G. Kie
,
R. A. Powell
,
E. H. Merrill
,
D. T. Haydon
Journal:
Philosophical Transactions of The Royal Society B: Biological Sciences
, vol. 365, no. 1550, pp. 22892301, 2010
Periodic solutions for an equation governing dynamics of a renewable resource subjected to Allee effects
(
Citations: 1
)
Seshadev Padhi
,
P. D. N. Srinivasu
,
G. Kiran Kumar
Journal:
Nonlinear Analysisreal World Applications  NONLINEAR ANALREAL WORLD APP
, vol. 11, no. 4, pp. 26102618, 2010
Towards a Critical ReAppraisal of Ecology Education: Scheduling an Educational Intervention to Revisit the ‘Balance of Nature’ Metaphor
(
Citations: 1
)
Tasos Hovardas
,
Konstantinos Korfiatis
Journal:
Science & Education  SCI EDUCATION
, vol. 20, pp. 115, 2010
Predicting spatiotemporal recolonization of large carnivore populations and livestock depredation risk: wolves in the Italian Alps: Wolf recolonization in the Alps
F. Marucco
,
E. J. B. McIntire
Journal:
Journal of Applied Ecology  J APPL ECOL
, vol. 47, no. 4, pp. 789798, 2010