The Blue Quaker parrot mutation is produced through selective breeding practices in aviculture. This specific mutation is the result of a genetic alteration that affects the pigmentation of the feathers. The blue coloration is caused by a mutation in the gene responsible for melanin production, resulting in the production of blue pigments instead of the typical green. The Blue Quaker parrot mutation is considered to be a rare and sought-after variation among aviculturists. To produce this mutation, birds that carry the blue gene are selectively paired for breeding. It's important to note that selective breeding practices in aviculture can also lead to potential health and genetic concerns, thus it's essential to consult with an avian veterinarian or a qualified avian expert to ensure proper nutrition and care for the birds.