2015
DOI: 10.1101/024133
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Isolation-By-Distance-and-Time in a stepping-stone model

Abstract: 4With the great advances in ancient DNA extraction, population genetics 5 data are now made of geographically separated individuals from both present 6 and ancient times. However, population genetics theory about the joint ef-7 fect of space and time has not been thoroughly studied. Based on the clas-8 sical stepping-stone model, we develop the theory of Isolation by Distance 9 and Time. We derive the correlation of allele frequencies between demes 10 in the case where ancient samples are present in the data, … Show more

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Cited by 11 publications
(23 citation statements)
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“…Here, we consider IBT as only isolation through time between population states rather than 'isolation by reproductive timing.' IBT, by this definition, arises due to the stochastic sorting of alleles within a population during coalescent processes and is directly tied to the effects of genetic drift (Skoglund et al 2014, Duforet-Frebourg andSlatkin 2016). Thus, under neutral processes on a stationary landscape, populations can diverge through both space and time, potentially leading to 'isolation by distance and time' (IBDT; Duforet-Frebourg and Slatkin 2016).…”
Section: Stationary Landscapes -Spatiotemporal Turnovermentioning
confidence: 99%
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“…Here, we consider IBT as only isolation through time between population states rather than 'isolation by reproductive timing.' IBT, by this definition, arises due to the stochastic sorting of alleles within a population during coalescent processes and is directly tied to the effects of genetic drift (Skoglund et al 2014, Duforet-Frebourg andSlatkin 2016). Thus, under neutral processes on a stationary landscape, populations can diverge through both space and time, potentially leading to 'isolation by distance and time' (IBDT; Duforet-Frebourg and Slatkin 2016).…”
Section: Stationary Landscapes -Spatiotemporal Turnovermentioning
confidence: 99%
“…Thus, under neutral processes on a stationary landscape, populations can diverge through both space and time, potentially leading to 'isolation by distance and time' (IBDT; Duforet-Frebourg and Slatkin 2016). In this scenario, genetic covariance between populations decreases as a function of geographic distance and separation through time (Skoglund et al 2014, Duforet-Frebourg andSlatkin 2016). Just as IBD can be used as the null model for spatial structure, IBT can be used as the null model for temporal structure.…”
Section: Stationary Landscapes -Spatiotemporal Turnovermentioning
confidence: 99%
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“…FST and related statistics have been widely used to characterize isolation by distance. Using the principles introduced by Skoglund et al (2014) and Duforet-Frebourg and Slatkin (2016), we will show how pairwise FST between archaic and present-day samples reflects both the distance and time separating samples in equilibrium populations and in non-equilibrium populations after a partial population replacement.…”
Section: Introductionmentioning
confidence: 99%
“…Skoglund et al (2014) developed the coalescent theory of samples of different age and showed that PCA analysis can reveal the time separation of spatially distributed samples. Duforet-Frebourg and Slatkin (2016) extended the classic Kimura-Weiss (1964) analysis of isolation by distance in a stepping-stone model to predict the decrease in identity by descent with increasing spatial and temporal separation of samples. Silva et al (2017) carried out an extensive simulation study that showed the importance of considering geographic structure when testing for population continuity.…”
mentioning
confidence: 99%