• Genomics & Informatics
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• 제17권4호
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• pp.37.1-37.8
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• 2019

Isolation-with-migration (IM) models have become popular for explaining population divergence in the presence of migrations. Bayesian methods are commonly used to estimate IM models, but they are limited to small data analysis or simple model inference. Recently three methods, IMa3, MIST, and AIM, resolved these limitations. Here, we describe the major problems addressed by these three software and compare differences among their inference methods, despite their use of the same standard likelihood function.

• Genomics & Informatics
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• 제21권2호
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• pp.27.1-27.7
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• 2023

Recombination events complicate the evolutionary history of populations and species and have a significant impact on the inference of isolation-with-migration (IM) models. However, several existing methods have been developed, assuming no recombination within a locus and free recombination between loci. In this study, we investigated the effect of recombination on the estimation of IM models using genomic data. We conducted a simulation study to evaluate the consistency of the parameter estimators with up to 1,000 loci and analyze true gene trees to examine the sources of errors in estimating the IM model parameters. The results showed that the presence of recombination led to biased estimates of the IM model parameters, with population sizes being more overestimated and migration rates being more underestimated as the number of loci increased. The magnitude of the biases tended to increase with the recombination rates when using 100 or more loci. On the other hand, the estimation of splitting times remained consistent as the number of loci increased. In the absence of recombination, the estimators of the IM model parameters remained consistent.

• Communications for Statistical Applications and Methods
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• 제27권3호
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• pp.385-395
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• 2020

We present a new maximum likelihood approach to estimate demographic history using genomic data sampled from two populations. A demographic model such as an isolation-with-migration (IM) model explains the genetic divergence of two populations split away from their common ancestral population. The standard probability model for an IM model contains a latent variable called genealogy that represents gene-specific evolutionary paths and links the genetic data to the IM model. Under an IM model, a genealogy consists of two kinds of evolutionary paths of genetic data: vertical inheritance paths (coalescent events) through generations and horizontal paths (migration events) between populations. The computational complexity of the IM model inference is one of the major limitations to analyze genomic data. We propose a fast maximum likelihood approach to estimate IM models from genomic data. The first step analyzes genomic data and maximizes the likelihood of a coalescent tree that contains vertical paths of genealogy. The second step analyzes the estimated coalescent trees and finds the parameter values of an IM model, which maximizes the distribution of the coalescent trees after taking account of possible migration events. We evaluate the performance of the new method by analyses of simulated data and genomic data from two subspecies of common chimpanzees in Africa.

• 응용통계연구
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• 제33권3호
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• pp.347-355
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• 2020

IM 모형(Isolation-with-Migration model; IM model)은 현존하는 집단들의 크기, 그 집단들이 공통 조상 집단으로부터 분리 된 분화 시간, 그리고 현존 집단 간의 이주율을 추정하는 데 널리 사용되는 진화 모형이다. IM 모형과 같은 진화 모형은 그 진화 모형 내 현존 집단으로부터 추출 된 DNA 염기서열을 분석하여 추정할 수 있다. 참인 진화 모형이 데이터가 추출되지 않은 미표본 집단(unsampled population) 혹은 소위 ghost라 불리는 집단을 포함할 때, 종종 이 미표본 집단을 제외한 진화 모델이 추론된다. 본 논문에서는 미표본 집단이 표본집단의 크기 추정에 미치는 영향을 조사하기 위해 모의실험을 수행하였다. 표본집단과 미표본집단 사이에 이주 사건들이 존재하는 경우, 표본집단의 크기의 추정량은 편향되었다. 그러나 미표본집단을 포함한 진화 모델이 추정되면 표본집단의 크기의 추정량은 많은 경우 개선되었다.