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分子系统发育分析中的“病态方程组”问题 被引量:1
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作者 李可群 《赣南师范大学学报》 2021年第3期24-29,共6页
从数学上证明了,在已知一个绝对分歧时间的三物种体系和四物种体系中,推导公式的雅可比矩阵转置矩阵通过初等变换可实现2行相等.推导公式因为“病态方程组”问题不能得到其他物种分歧时间的准确计算结果,而替代公式因无“病态方程组”... 从数学上证明了,在已知一个绝对分歧时间的三物种体系和四物种体系中,推导公式的雅可比矩阵转置矩阵通过初等变换可实现2行相等.推导公式因为“病态方程组”问题不能得到其他物种分歧时间的准确计算结果,而替代公式因无“病态方程组”问题可以得到满意结果. 展开更多
关键词 推导公式 替代公式 雅可比矩阵 初等变换 病态方程组 物种分歧时间
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The impact of ancestral population size and incomplete lineage sorting on Bayesian estimation of species divergence times 被引量:1
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作者 Konstantinos ANGELIS Mario DOS REIS 《Current Zoology》 SCIE CAS CSCD 2015年第5期874-885,共12页
Although the effects of the coalescent process on sequence divergence and genealogies are well understood, the vir- tual majority of studies that use molecular sequences to estimate times of divergence among species h... Although the effects of the coalescent process on sequence divergence and genealogies are well understood, the vir- tual majority of studies that use molecular sequences to estimate times of divergence among species have failed to account for the coalescent process. Here we study the impact of ancestral population size and incomplete lineage sorting on Bayesian estimates of species divergence times under the molecular clock when the inference model ignores the coalescent process. Using a combination of mathematical analysis, computer simulations and analysis of real data, we find that the errors on estimates of times and the molecular rate can be substantial when ancestral populations are large and when there is substantial incomplete lineage sorting. For example, in a simple three-species case, we find that if the most precise fossil calibration is placed on the root of the phylogeny, the age of the internal node is overestimated, while if the most precise calibration is placed on the internal node, then the age of the root is underestimated. In both cases, the molecular rate is overestimated. Using simulations on a phylogeny of nine species, we show that substantial errors in time and rate estimates can be obtained even when dating ancient divergence events. We analyse the hominoid phylogeny and show that estimates of the neutral mutation rate obtained while ignoring the coalescent are too high. Using a coalescent-based technique to obtain geological times of divergence, we obtain estimates of the mutation rate that are within experimental estimates and we also obtain substantially older divergence times within the phylogeny [Current Zoology 61 (5): 874-885, 2015]. 展开更多
关键词 Ancestral polymorphism Incomplete lineage sorting Divergence time estimation Gene tree Species tree
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