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obsidianvault/biology/G11 Pre-AP Biology/Unit 3 TBD/Hardy Weinberg and Equation and Microevolution.md
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Unit 3 (TBD) Evolution is change in the population, not individuals. When changes in allele frequency occur, ==microevolution== has occurred, which is the smallest scale of evolution. Microevolution can eventually lead to ==macroevolution==, which is the creation of new species.

Example begin:

In the Richmond Hill High School forest there lives a population of bunnies. Let B rep the allele for brown. Let b rep the allele for white. How many B? 3B/total 8 alleles How many b? 5b/total 8 alleles. Allele frequency of B is 0.375=p (represents allele frequency of dominant trait). Allele frequency for b is 0.625=q (represents allele frequency of recessive trait).

Generation B p b q
1-baseline 14 14/44=0.318 30 30/44=0.682
2 11 11/44=0.25 33 33/44=0.75
3 16 16/44=0.364 28 28/44=0.636
4 15 15/44=0.341 29 29/44=0.659
5 15 15/44=0.341 29 29/44=0.659
6-climate change 2 2/44=0.046 42 42/44=0.954

!Pasted image 20261110105109.png

Microevolution has occured because allele frequency changed. From 0.318 to 0.409. Natural selection.

To check if a change is significant, use chi square.

Example concluded.

Hardy-Weinberg equation. If allele frequencies aren't changing, then the population is in ==Hardy-Weinberg== equilibrium (microevolution not occurring). If allele frequencies change, then microevolution occurs, which can be due to:

  • Natural selection.
  • Genetic drift.
  • Gene flow.
  • Mutation.
  • Non random mating.

For Hardy-Weinberg equilibrium to occur, these conditions need to be met:

  • No mutation, no alleles can arise.
  • No migration, no new members and alleles can join/leave.
  • Large gene pool.
  • Random mating.
  • No selection, natural selection doesn't favor one phenotype over the other. These 5 five things keep the population stable.

==Allele fixation== is when only one allele is present for a particular gene, allele frequency for one allele is 100%. It occurs more often in smaller populations.

!Pasted image 20261110110316.png Graph one represents Hardy Weinberg Equilibrium, graph 2 represents microevolution and graph 3 represents allele fixation.

p+q=1\\p^2+2pq+q^2=1 p^2 represents genotype frequency (homozygous dominant) while q^2 represents genotype frequency for homozygous recessive. 2pq represents genotype frequency of heterozygous.

Example 1: Black dominant white recessive, 263 black geese 413 white geese.

"what is genotypic frequency of the white geese" Let B rep black feather. Let b rep white feather. bb=$q^2$=413/676=0.6109 "what is allele frequency of white allele" b=$q^2$=\sqrt{0.6109} =0.7816 "what is alele frequency of black allele" 1-0.7816=0.2184 "genotypic frequencies of homozygous black geese"e p^2+2*0.2184*0.7816+0.6109=1 p^2=0.0477 ==ALWAYS FIND RECESSIVE ALLELE FREQUENCY FIRST== "heterozygous genotype frequency" 2pq=2(0.2184)(0.7816) pq=0.3414

Example concluded.