晰江大摩摩粮（农业与生命科学板） Journal of Zheliang University (Agric.Life Sci. 文章编号：1008-9209(2006)05-0515-05 不同交配方式下遗传平衡的信息学分析 张鸿雁，张宏礼2，郭满才，袁志发 1,系龙江八一农最大学生命科技学院，黑龙江大庆153319：2.器龙江八一农显大学文理学院，用龙江大庆163319： 3.西北农林科技大学生命科学学院，陕西畅酸712100) 摘要：闲运了二倍体生物群体多因座垫体达到最大信惠滴时的配子频率分布和基因型颜率分布 一数性，从俗息学角度证明了不论是看存在，健表文配下多因的 华你生空生货章有意一政：有提长发干药动现牛青有心，办果从安是方灯 上时群体施以其他的外部强制，群体发展的结果是最妹会达到一个不随时间变化的状态，这个被态不是 平街态而是非平街定态，此时配子信惠满和善因型信息滴具有板小值，这种非平衡定态是一种远离无外 部接制作用下Hardy-Weinberg平衡铁态的秋态，与群体遗传学传统观点有所不周. 关健词：多基图座：Hardy-Weinberg平衡：配子信怎：蒸型信惠滴非平衢态热力 中围分类号：Q347 文献标识码：A ong-vanl 2HANG Hong-li',GUo Maea cla (1.College of Life Sc Heilongjian Fir t Land Rrclaman china:2.Mathematic iag16331g Department, Heilongjiang August First Land University of Agriculture and Forestry,Yangling,Shanxi 712100.China) Informational analysis of genetie equilibrium on different mating varieties.Journal of Zhejiang University (Agric.&Life Sci.).2006,32(5):515-519 Abstract:It was demonstrated that two kinds of frequency distribution on gamete and genotype were ulatio pe entropy Ac mete and genotype wa briefly prove with respect to limited oci of a randommating population whether linkage or nonlinkage.Differenc from the traditional standpoint of population genetics,the population could not reach the equilibriun state but an non-equilibrium steady state that both the gamete entropy and the genotype entropy of the population reached the minimal possible values far from Hardy-Weinberg equilibrium when it was subiected to a forcible nomrandom mating Key words:limited loci:Hardy-Weinberg equilibrium:gamete entropy:genotype entropy:o equilibrium thermodynamics 收：是江省就育厅科研著金资助项目（105512 万方数据浙江大学学报(农业与生命科学版) 32(5)：515～519．2006 Journal of Zhejiang University(Agric。&Life Sci．、 文章编号：1008—9209(2006)05—0515—05 不同交配方式下遗传平衡的信息学分析 张鸿雁1，张宏礼2，郭满才3，袁志发3 (1．黑龙江八一农垦大学生命科技学院，黑龙江大庆163319；2．黑龙江八一农垦大学文理学院．黑龙江大庆163319 3．西北农林科技大学生命科学学院，陕西杨陵712100) 摘要：阐述了二倍体生物群体多基因座整体达到最大信息熵时的配子频率分布和基因型频率分布与 Hardy-Weinberg平衡分布的一致性．从信息学角度证明了不论是否存在连锁，随机交配下多基因座的 配子平衡分布与基因型平衡分布总一致．与随机交配下的Hardy-Weinberg平衡相比，如果从交配方式 上对群体施以其他的外部强制，群体发展的结果是最终会达到一个不随时间变化的状态，这个状态不是 平衡态而是非平衡定态，此时配子信息熵和基因型信息熵具有极小值，这种非平衡定态是一种远离无外 部强制作用下Hardy-Weinberg平衡状态的状态，与群体遗传学传统观点有所不同． 关 键 词：多基因座；Hardy～Weinberg平衡；配子信息熵；基因型信息熵；非平衡态热力学 中图分类号：Q347 文献标识码：A ZHANG Hong—yanl，ZHANG Hong—li2，GUO Man-cai3，YUAN Zhi—fa3(1．College of Life Sci—Tech． Heilong÷iangAugust First Land Reclamation Agriculture University，Daqing，Heiton93iang 163319． China；2．Mathematics Department，HeilongJiang August First Land Reclamation Agriculture University，Daqing，HeilongJiang 163319，Chinaj 3．College of Life Science，Northwest Sci—Tech University of Agriculture and Forestry，Yangling，Shanxi 712100，China) Informational analysis of genetic equilibrium on different mating varieties．Journal of Zhejiang University (Agric．&Life Sci．)，2006，32(5)：515—519 Abstract：It was demonstrated that tWO kinds of frequency distribution on gamete and genotype were equivalent to Hardy-Weinberg equilibrium distribution with respect to limited loci in a diploid population when the gamete entropy and genotype entropy reached respective maximal possible value．Accordingly， the equivalent of two kinds of equilibrium distribution between gamete and genotype was briefly proved with respect to limited loci of a random—mating population whether linkage or nonlinkage．Difference from the traditional standpoint of population genetics，the population could not reach the equilibrium state but an non-equilibrium steady state that both the gamete entropy and the genotype entropy of the population reached the minimal possible values far from Hardy-Weinberg equilibrium when it was subjected tO a forcible non-random mating． Key words：limited loci；Hardy-Weinberg equilibrium；gamete entropy；genotype entropy；non￾equilibrium thermodynamics 收稿日期：2006一Ol—04 基金项目：黑龙江省教育厅科研基金资助项目(10551221)． 作者简介：张鸿雁(1970一)，女，黑龙江宝清人，硕士，副教授，主要从事微生物学的教学与研究．Tel：0459—681 9293；E-mail zhanghongligll@yahoo．com．en． 万方数据