Life Sciences Commons^™

Utilizing Markov Chains To Estimate Allele Progression Through Generations, Ronit Gandhi

Honors Theses

All populations display patterns in allele frequencies over time. Some alleles cease to exist, while some grow to become the norm. These frequencies can shift or stay constant based on the conditions the population lives in. If in Hardy-Weinberg equilibrium, the allele frequencies stay constant. Most populations, however, have bias from environmental factors, sexual preferences, other organisms, etc. We propose a stochastic Markov chain model to study allele progression across generations. In such a model, the allele frequencies in the next generation depend only on the frequencies in the current one.

We use this model to track a recessive allele …

Can Gdp Be Predictive Of Fertility Rates In Sweden?, Hannah Coleman

Honors Theses

Fertility rates in a country vary and can be influenced by numerous different aspects of an individual’s life and the society in which they live. One aspect that may influence fertility rates at the national level is the gross domestic product (GDP). GDP is an indicator of a country’s economic productivity. Because fertility is linked to both economic development and individual resources, GDP may be a useful indicator of fertility rates. If so, knowing or predicting GDP could be used to project the fertility rates of a population years into the future. To determine if a reasonable connection between GDP …