Genetics: the Fun and the Bad
Genetics is the study of how certain traits are passed down from parent to offspring. Before breeding, you should familiarize yourself about the basics of genetics, like dominant and recessive genes, alleles, Punnett squares, and more.
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Coat Colors & Markings
Rats come in a variety of colors, shapes, markings, etc. Before you begin breeding, you should know common colors and how genetics works. Learn about different loci, co-dominant traits, lethal genes, etc. Here's a basic run down of rat genetics.
All coat colors are based off of 2 different colors, both controlled by the agouti locus. The two base colors are agouti (dominant) and non-agouti (non-dominant). Non-agouti is black. Then you have dilutes, like red eye dilution, pink eye dilution, mink, etc. You also have genes like pearl, which only shows up on mink. Pearl is a lethal dominant, like silvermane.
Rex and velveteen are co-dominant coat types. This is how you get things like double rex (ReRe, two copies of the rex gene) and double velveteen. Miscellaneous things like dumbo and dwarf are recessive.
This is only the TIP of giant iceberg of rat genetics.
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Hereditary Disease
Cute coat colors aren't the only things that carry down through genetics.
All types of aggression is genetic. It can and will pass down through litters. Tumor rates are also genetic. Rats that have high rates of mammary tumors or cancer will produce rats that also have high rates of tumors or other neoplasms. Cataracts can have genetic factors. Heart disease and obesity can be genetic. Deformations like microtia can be genetic.