Cytonuclear Theory for Haplodiploid Species and X-Linked Genes. II. Stepping-Stone Models of Gene Flow and Application to a Fire Ant Hybrid Zone

Evolution ◽  
1998 ◽  
Vol 52 (5) ◽  
pp. 1423 ◽  
Author(s):  
Michael A. D. Goodisman ◽  
D. DeWayne Shoemaker ◽  
Marjorie A. Asmussen
Keyword(s):  
Gene Flow ◽  
Hybrid Zone ◽  
Fire Ant ◽  
Stepping Stone ◽  
Stepping Stone Models

scholarly journals Hierarchical Analysis of Genetic Structure in Native Fire Ant Populations: Results From Three Classes of Molecular Markers

Genetics ◽  
1997 ◽  
Vol 147 (2) ◽  
pp. 643-655 ◽  
Author(s):  
Kenneth G Ross ◽  
Michael J B Krieger ◽  
D DeWayne Shoemaker ◽  
Edward L Vargo ◽  
Laurent Keller
Keyword(s):  
Gene Flow ◽  
Genetic Structure ◽  
Solenopsis Invicta ◽  
Large Scale ◽  
Fire Ant ◽  
Nuclear Markers ◽  
Social Forms ◽  
Native Populations ◽  
Nest Level ◽  
Nuclear Differentiation

We describe genetic structure at various scales in native populations of the fire ant Solenopsis invicta using two classes of nuclear markers, allozymes and microsatellites, and markers of the mitochondrial genome. Strong structure was found at the nest level in both the monogyne (single queen) and polygyne (multiple queen) social forms using allozymes. Weak but significant microgeographic structure was detected above the nest level in polygyne populations but not in monogyne populations using both classes of nuclear markers. Pronounced mitochondrial DNA (mtDNA) differentiation was evident also at this level in the polygyne form only. These microgeographic patterns are expected because polygyny in ants is associated with restricted local gene flow due mainly to limited vagility of queens. Weak but significant nuclear differentiation was detected between sympatric social forms, and strong mtDNA differentiation also was found at this level. Thus, queens of each form seem unable to establish themselves in nests of the alternate type, and some degree of assortative mating by form may exist as well. Strong differentiation was found between the two study regions usinga all three sets of markers. Phylogeographic analyses of the mtDNA suggest that recent limitations on gene flow rather than longstanding barriers to dispersal are responsible for this large-scale structure.

scholarly journals Coalescent and biophysical models of stepping-stone gene flow in neritid snails

2012 ◽  
Vol 21 (22) ◽  
pp. 5579-5598 ◽  
Author(s):  
Eric D. Crandall ◽  
Eric A. Treml ◽  
Paul H. Barber
Keyword(s):  
Gene Flow ◽  
Stepping Stone ◽  
Biophysical Models

Stepping stone models of finite length

1970 ◽  
Vol 2 (02) ◽  
pp. 229-258 ◽  
Author(s):  
Takeo Maruyama
Keyword(s):  
Monte Carlo ◽  
Population Structure ◽  
Finite Length ◽  
Correlation Coefficients ◽  
Gene Frequencies ◽  
Explicit Formulas ◽  
Stepping Stone ◽  
Monte Carlo Experiments ◽  
Stepping Stone Models ◽  
Stepping Stone Model

The stepping stone model of population structure, of finite length, is analysed with special reference to the variance, and correlation coefficients of gene frequencies. Explicit formulas for these quantities are obtained. The model is also analysed for the genetic variability maintained in the population. In order to check the validity of the analytical results, several numerical computations were carried out using two different methods: iterations and Monte Carlo experiments. The values obtained by these numerical methods agree well with the theoretical values obtained by formulas derived analytically.

Assessment of gene flow across a hybrid zone in red-tailed chipmunks (Tamias ruficaudus)

2009 ◽  
Vol 18 (14) ◽  
pp. 3097-3109 ◽  
Author(s):  
SARAH HIRD ◽  
JACK SULLIVAN
Keyword(s):  
Gene Flow ◽  
Hybrid Zone

A survey of stepping-stone models in population dynamics

1986 ◽  
Vol 18 (03) ◽  
pp. 581-627 ◽  
Author(s):  
Eric Renshaw
Keyword(s):  
Population Dynamics ◽  
Final Section ◽  
Main Body ◽  
Nearest Neighbour ◽  
General Applicability ◽  
Transfer Rates ◽  
Predator Prey ◽  
Stepping Stone ◽  
Vector Process ◽  
Stepping Stone Models

A survey is presented of stochastic and deterministic developments in the study of the effects of nearest-neighbour ‘migration’ between spatially separated ‘colonies’. Such processes are of general applicability, and are relevant to any vector processX(t) = (X1(t), · ··,XN(t)) in which the arrival, departure and transfer rates for the states {X(t) = n} may be written in the formαi(ni), βi(ni) andγij(ni,nj), respectively, wheren =(n1,· ··, nN). Whilst the main body of results are described in terms of birth-death, genetic and epidemic situations, the final section examines within colony interaction in the context of spatial predator-prey processes.

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