Hühn Manfred, Piepho Hans-Peter
Institute of Crop Science and Plant Breeding, University of Kiel, Am Botanischen Garten 1-9, D-24118 Kiel, Germany.
J Theor Biol. 2004 Feb 21;226(4):467-75. doi: 10.1016/j.jtbi.2003.10.002.
The commonly used procedure to calculate inbreeding coefficients by effective population numbers (Ne) by the harmonic mean of generation-by-generation population sizes involves a computational bias. If the individual population sizes are considered as realizations of a binomially distributed random variable with sample size N and probability p, this bias can be investigated for the two cases p = constant and p = variable (Markov chain). The bias is of practical relevance only for small probabilities p, short period of initial successive generations, and small population sizes. The largest values for this computational bias are in the range of 0.05-0.06. It is concluded that for most practical purposes the approximate procedure is appropriate.
通过逐代种群大小的调和平均值，利用有效种群数量（Ne）计算近亲繁殖系数的常用方法存在计算偏差。如果将个体种群大小视为样本量为N且概率为p的二项分布随机变量的实现，那么可以针对p =常数和p =变量（马尔可夫链）这两种情况研究这种偏差。该偏差仅在小概率p、初始连续世代较短以及种群规模较小时具有实际相关性。这种计算偏差的最大值在0.05 - 0.06范围内。结论是，对于大多数实际目的而言，近似方法是合适的。
