The Hill–Robertson effect describes how, in a finite panmictic diploid population, selection at one diallelic locus reduces the fixation probability of a selectively favoured allele at a second, linked diallelic locus. Here we investigate the influence of population structure on the Hill–Robertson effect in a population of size N. We model population structure as a network by assuming that individuals occupy nodes on a graph connected by edges that link members who can reproduce with each other. Three regular networks (fully connected, ring and torus), two forms of scale-free network and a star are examined. We find that (i) the effect of population structure on the probability of fixation of the favourable allele is invariant for regular structures, but on some scale-free networks and a star, this probability is greatly reduced; (ii) compared to a panmictic population, the mean time to fixation of the favoured allele is much greater on a ring, torus and linear scale-free network, but much less on power-2 scale-free and star networks; (iii) the likelihood with which each of the four possible haplotypes eventually fix is similar across regular networks, but scale-free populations and the star are consistently less likely and much faster to fix the optimal haplotype; (iv) increasing recombination increases the likelihood of fixing the favoured haplotype across all structures, whereas the time to fixation of that haplotype usually increased, and (v) star-like structures were overwhelmingly likely to fix the least fit haplotype and did so significantly more rapidly than other populations. Last, we find that small (N < 64) panmictic populations do not exhibit the scaling property expected from Hill & Robertson (1966 Genet. Res.8, 269–294. (doi:10.1017/S0016672300010156)).

希尔-罗伯逊效应描述了在有限的panictic二倍体种群中，如何在一个方糖基因座处进行选择，以降低选择性偏爱的等位基因在第二个关联的方糖基因座处的固定概率。在这里，我们研究了人口结构对人口规模为N的希尔-罗伯逊效应的影响。我们通过假设个体占据图上的节点（通过边连接可以互相繁殖的成员的边）来连接，从而将种群结构建模为网络。检查了三个常规网络（完全连接，环形和环形），两种形式的无标度网络和星形。我们发现：（i）种群结构对有利等位基因固定概率的影响对于规则结构是不变的，但是在某些无标度网络和恒星上，该概率大大降低了；（ii）与全景人群相比，在环，圆环和线性无标度网络上，固定等位基因的平均时间要长得多，而在幂2无标度和星型网络上，平均时间要长得多；（iii）四种可能的单体型最终固定在常规网络中的可能性相似，但是，无标度的种群和恒星始终不大可能并且更快地确定最佳单倍型；（iv）增加重组会增加在所有结构中固定偏好的单倍型的可能性，而固定该单倍型的时间通常会增加，并且（v）星形结构极有可能固定最不适合的单倍型，并且这样做的可能性要大得多比其他人群迅速。最后，我们发现小（（v）星形结构极有可能固定最不适合的单倍型，并且比其他种群的移动速度快得多。最后，我们发现小（（v）星形结构极有可能固定最不适合的单倍型，并且比其他种群的移动速度快得多。最后，我们发现小（Ñ <64）随机交配群体不表现出从山＆罗伯逊预期缩放特性（1966遗传学RES。8，269-294（DOI：10.1017 / S0016672300010156））。