The only way that a smooth bird can pass the frizzling gene to its offspring is if it also carries two copies of the frizzle modifier gene. This gene "unfrizzles" the feathers, so that a bird does not appear to be frizzled, although genetically they are.
A simple punnet square will show the correct ratios that Bunnylady stated. However, this is ignoring the frizzle modifier. How common it is or is not has been up for discussion for years. I would suspect that MadamPuffyBrow's flock has many with the frizzle modifier gene, including some who carry 2 copies of frizzle, but appear to have only a single copy because they also have two copies of the modifier gene.
Thank you so much for this, Sonoran! I was hoping that someone with some knowledge/experience with the frizzle modifier would give us some input here.
I knew of the existence of the frizzle modifier, but not much more about it. I knew that there were:
Smooth birds, that don't carry the gene for frizzling
Frizzled birds, that have one copy of the gene for frizzle
Frazzled birds, that have two copies of the gene for frizzle
Smooth birds, that have the gene for frizzling, but have the modifier (I assume that it's a straightforward recessive, since you say it takes two copies?)
Are you saying that a frazzle that also has two copies of the modifier would look like a Frizzle? That would help to explain some of the discrepancies that MadamPoofyBrow seems to be seeing.
Breeding two birds that appear smooth, but are actually frizzles with two copies of the modifier, would produce offspring that all have two copies of the modifier. That would result in (approximately):
25% smooth birds that don't have the frizzled gene, but have 2 copies of the modifier
50% birds that have the frizzled gene, but appear smooth because they have 2 copies of the modifier
25% birds with 2 copies of the frizzled gene (Frazzles) that appear to be only frizzled because they have 2 copies of the modifier.
This would explain how MadamPoofyBrow could breed two smooth birds and still get a few "Frizzles" - they are actually Frazzles, that are being modified. It would also explain why she never sees Frazzled birds. If we assume that
all of her birds have two copies of the modifier, then her "smooth frizzles" have one copy of the frizzling gene, and one of the non-frizzling gene, but appear smooth because they are being modified, and her "frizzles" are all actually frazzles that are being modified. If that were the case, breeding a heterozygote (smooth frizzle) to a homozygote ("frizzle," that is actually a modified frazzle) would give you 50% smooth, and 50% modified frazzles, that appear to be frizzles, and no visual frazzles because they are all modified to look like frizzles.