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# Hardy Weinberg

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## Ben Makhlouf

on 12 November 2012

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#### Transcript of Hardy Weinberg

By: Benjamin Makhlouf Wauwatosa West
11400 W. Center
Annalise Ho Wauwatosa, WI
53226 How Population Size Affects Hardy-Weinberg Equilibrium Hardy Weinberg populations are in GENETIC EQUILIBRIUM

Which means that...
-the populations do not evolve
-the sexual shuffling of genes alone won't change the genetic makeup of a population Background independent variables: different population sizes created
control: original population size of 25
dependent variable: the allele frequency in each new generation
constant: starting allele frequency of .5 in each population BIG QUESTION Beginning population size- 25
Beginning allelic frequencies-.5 Basic MODEL In our model...
We created different population sizes:
25
50
250
1000
5000
10000
-------
In order to calculate whether or not the population size is fulfilling Hardy-Weinberg equilibrium we found the standard deviation (needs to be <1%). STANDARD DEVIATION
Standard deviation of different population sizes

25- 5.5%
50- 4%
250- 2.5%
1000- .8%
5000- .3% In order to fulfill HW equilibrium 1- Large population size.
2- Random mating
3- No mutations
4- No migration
5- No natural selection If we increase population size, then the population will be closer to the Hardy-Weinberg equilibrium because it will become closer to fulfilling the requirement of LARGE POPULATION SIZE Standard deviation- Average amount that the allelic frequencies change between generations. RAND function used to randomly generate the gametes based on the frequency of A and B We created MULTIPLE GENERATIONS based on the ending allele frequencies of the generation before it Our Model We got the standard deviation by averaging the amount of change in the frequency of A between the generations Results Conclusion Our hypothesis is correct because:
- As we increased the population size , it became closer to HW equilibrium
- A population has to be between 1000 and 5000 in order to fulfill HW equilibrium Further investigations... The effect that disruptions, like immigration or disease, have on the genetic makeup different population sizes and Hypothesis Generation of 5000- Standard deviation of .0046
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