A formulation of the foundations of genetics and evolution

- A formulation that can be used to simulate certain biological phenomena is proposed.
- It can simulate phenotype expression, reproduction, mutation, and natural selection.
- It can also simulate Mendelian inheritance and revisions to these principles.
- It can simulate the effects of natural selection on the entire genotype/phenotype.
- And with overlapping generations and fitness values that change over time.

This paper proposes a formulation of theories of the foundations of genetics and evolution that can be used to mathematically simulate phenotype expression, reproduction, mutation, and natural selection. It will be shown that Mendelian inheritance can be mathematically simulated with expressions involving matrices and that these expressions can also simulate phenomena that are modifications to Mendel's basic principles, like alleles that give rise to quantitative effects and traits that are the expression of multiple alleles and/or multiple genetic loci.