{"id":10349,"date":"2026-07-03T17:39:42","date_gmt":"2026-07-03T17:39:42","guid":{"rendered":"https:\/\/kapdec.com\/help\/?p=10349"},"modified":"2026-07-03T17:39:42","modified_gmt":"2026-07-03T17:39:42","slug":"hardy-weinberg-equilibrium","status":"publish","type":"post","link":"https:\/\/kapdec.com\/help\/hardy-weinberg-equilibrium\/","title":{"rendered":"Hardy-weinberg Equilibrium"},"content":{"rendered":"<div class=\"article-watermark-wrapper\">\n<div style=\"position: relative; z-index: 1;\">\n<p style=\"font-family: Arial, Helvetica, Calibri, sans-serif; font-size: 9pt; color: #444444;\">KAPDEC&reg; | Elite STEM Learning Platform | <a href=\"https:\/\/kapdec.com\" target=\"_blank\" rel=\"noopener noreferrer\" style=\"color: #444444; text-decoration: underline;\">https:\/\/kapdec.com<\/a><\/p>\n<hr \/>\n<h2><strong>Unit: Natural selection<\/strong><\/h2>\n<h3><strong>Chapter: Hardy Weinberg equilibrium<\/strong><\/h3>\n<p><strong><em>Reference:<\/em><\/strong> <em>Hardy-Weinberg principle, Importance<\/em><\/p>\n<p><strong>Learning objectives<\/strong><\/p>\n<ul>\n<li>To describe the conditions under which allele and genotype frequencies will change in populations.<\/li>\n<li>To explain the impacts on the population if any of the conditions of Hardy-Weinberg are not met.<\/li>\n<\/ul>\n<p><strong>Hardy-Weinberg principle<\/strong><\/p>\n<ul>\n<li>Coined by G. H. Hardy and W. Weinberg, which describes the genetic structure of evolving population.<\/li>\n<li>Mutations introduce new genes into species resulting a change in gene frequencies.<\/li>\n<li>Gene frequency is defined as the frequency with which a particular allele occurs in the population.<\/li>\n<\/ul>\n<p>According to Hardy-Weinberg principle allele frequencies in a population are stable and is constant from generation to generation i.e., the gene pool remains constant, called genetic equilibrium.<\/p>\n<p>According to this principle a population is only at equilibrium when there is-<\/p>\n<ul>\n<li>No mutation<\/li>\n<li>No natural or artificial selection<\/li>\n<li>No gene flow (no gene migration)<\/li>\n<li>No genetic drift<\/li>\n<li>No genetic recombination<\/li>\n<\/ul>\n<p>Individual frequency for may be named as P, q. etc. in a diploid organism p and q represent the frequency of allele A and a. the frequency of AA individuals in a population is p<sup>2<\/sup>. This can be stated in another way, i.e., the probability that an allele A with a frequency of p appears on both the chromosome of a diploid individual is the product of the probabilities i.e., p<sup>2<\/sup>. Similarly, of aa is q<sup>2<\/sup>, of Aa is 2 pq. Thus, is a binomial expansion of (p+q)<sup>2<\/sup>. It is possible to calculate all allele and genotype frequencies using the expressions allele frequency p+q = 1 and genotype frequency p<sup>2<\/sup>+2pq+q<sup>2<\/sup>=1<\/p>\n<p><strong>Importance<\/strong><\/p>\n<p>For populations in the Hardy-Weinberg equilibrium, the equation connects allele frequencies to genotype frequencies. This equation allows us to compare a population&#39;s genetic structure over time to the expected genetic structure if the population were in Hardy-Weinberg equilibrium.<\/p>\n<p><strong>Solved examples<\/strong><\/p>\n<p><strong>Example 1<\/strong>. If the frequency of non-tasters of PTC &ndash; Paper in a population is 16%, find out the frequency of dominant allele and the percentage of homozygous dominant individuals in the population.<\/p>\n<p>&nbsp;<strong>Solution 1<\/strong>&#8211; The frequency of non-tasters (i.e., homozygous recessive genotype) is 16%,<\/p>\n<p>this means that q<sup>2<\/sup> = 16% = 16\/100 = 0.16<\/p>\n<p>Value of q = 0.16, = 0.4.<\/p>\n<p>As p + q = 1, p = (1 &ndash; 0.4) = 0.6<\/p>\n<p>Frequency of dominant allele (p) will, therefore, be 0.6 or 60%.<\/p>\n<p>Now, the frequency of homozygous dominant genotype (p<sup>2<\/sup>) = 0.6 &times; 0.6 = 0.36, or 36%<\/p>\n<p><strong>Example 2<\/strong>. Which Hardy-Weinberg factor represents the frequency of heterozygous individuals in a population?<\/p>\n<p>a) p<sup>2<\/sup>&nbsp;&nbsp; b)2pq&nbsp;&nbsp; c) q<sup>2<\/sup>&nbsp;&nbsp; d) p<sup>2<\/sup> + 2pq<\/p>\n<p><strong>Solution 2<\/strong>. b. The heterozygous individuals in a population are 2pq<\/p>\n<p><strong>Summary <\/strong><\/p>\n<ul>\n<li>Hardy-Weinberg principle is coined by G. H. Hardy and W. Weinberg, which describes the genetic structure of evolving population.<\/li>\n<li>According to Hardy-Weinberg principle allele frequencies in a population are stable and is constant from generation to generation i.e., the gene pool remains constant, called genetic equilibrium.<\/li>\n<li>The factors that affect the Hardy Weinberg principle includes gene flow, genetic drift, mutation, genetic recombination, and natural selection.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><!--kapdec-footer-start--><\/p>\n<style>.kapdec-article-footer{font-family:Arial,Helvetica,Calibri,sans-serif;color:#444;}.kapdec-footer-grid{display:flex;align-items:stretch;border:1px solid #e5e7eb;border-radius:6px;overflow:hidden;}.kapdec-footer-left,.kapdec-qr-block{flex:1 1 50%;width:50%;box-sizing:border-box;min-width:0;}.kapdec-footer-left{padding:22px 28px;border-right:1px solid #e5e7eb;}.kapdec-citation-block{line-height:1.6;font-size:9pt;color:#333;margin:0;}.kapdec-citation-block p{margin:0 0 10px 0;}.kapdec-citation-block a{color:#0066cc;text-decoration:underline;}.kapdec-copyright-block{margin-top:18px;padding-top:14px;border-top:1px solid #e5e7eb;font-size:7.5pt;color:#777;line-height:1.55;text-align:left;}.kapdec-copyright-block p{margin:0 0 5px 0;}.kapdec-qr-block{padding:22px 28px;display:flex;flex-direction:column;align-items:center;justify-content:center;text-align:center;}.kapdec-qr-label{margin:0 0 8px 0;font-size:8.5pt;font-weight:600;color:#444;line-height:1.35;letter-spacing:.02em;}.kapdec-qr-url{margin:0 0 14px 0;font-size:7.5pt;line-height:1.4;color:#777;word-break:break-word;max-width:100%;}.kapdec-qr-url a{color:#777;text-decoration:underline;}@media (max-width:640px){.kapdec-footer-grid{flex-direction:column;}.kapdec-footer-left,.kapdec-qr-block{width:100%;flex-basis:100%;border-right:none;}.kapdec-footer-left{border-bottom:1px solid #e5e7eb;}}<\/style>\n<div class=\"kapdec-article-footer\" style=\"margin-top: 28px; padding-top: 4px;\">\n<div class=\"kapdec-footer-grid\">\n<div class=\"kapdec-footer-left\">\n<div class=\"kapdec-citation-block\">\n<p>A Kapdec&reg; learning guide &#8211; Crafted by elite STEM mentors for ambitious learners.<\/p>\n<p><a href=\"https:\/\/kapdec.com\" target=\"_blank\" rel=\"noopener noreferrer\">Learn more at https:\/\/kapdec.com<\/a><\/p>\n<\/div>\n<div class=\"kapdec-copyright-block\">\n<p>Author: Kapdec | Publisher: Kapdec | Copyright: &copy; Kapdec. 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To explain the impacts on the population if any of the conditions of Hardy-Weinberg are not met. Hardy-Weinberg principle Coined [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[629],"tags":[],"class_list":["post-10349","post","type-post","status-publish","format-standard","hentry","category-ap-biology"],"_links":{"self":[{"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/posts\/10349","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/comments?post=10349"}],"version-history":[{"count":0,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/posts\/10349\/revisions"}],"wp:attachment":[{"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/media?parent=10349"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/categories?post=10349"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/tags?post=10349"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}