Genetics 5
Sex Alleles

Honeybees along with other insects (wasps, ants, sawflies) do not have a sex chromosome. The mechanism of sexual reproduction these insects use involves the csd gene. The isolation of the sex determination locus in honey bees led to the identification of the complementary sex determiner (csd) gene. The csd gene exists in at least 19 allelic variants in the honey bee; these are denoted as a1, a2, a3, etc. Female bees have two copies of csd which are always different alleles; males have only one copy.

In the diagram a situation is shown for two cases A and B. In case A the queen mates with a drone having a different allele. The queen is diploid and has sex alleles a1 and a2; the drone is haploid and has allele a3. For a female bee to develop, the fertilized ovum or zygote must be heterozygous i.e. the allele combination must be different as in this example a1a3; a2a3.

In case B the queen mates with a drone which has an allele in common with the queen. The queen has two alleles a1 and a2 but the drone has allele a2. This result produces a worker having alleles a1a2 but an abnormal drone having allele a2a2 i.e. this drone with two identical alleles is diploid.
sex alleles bee mating
Pepperpot Brood

Diploid drones produce a pheromone called "cannibalism substance" which workers recognize and signals that the diploid drone larva should be destroyed; this the workers do by eating the larvae shortly after they hatch. This self-destructive behaviour of the diploid drone larvae would appear to be an evolutionary trait which helps to recycle nutrients. i.e. a diploid drone can neither reproduce nor contribute anything to the colony except its own body.
This results in so called pepperpot brood i.e. where a larva has been removed by the workers an empty cell results.
pepperpot brood
The photo above shows a sample of pepperpot brood before the emergence of the bees. A rhombus with a side of 10 cells (i.e. it contains 100 cells) is placed over a typical sample of the new brood and the number of empty cells counted; in this case 18.
A correction factor might be considered to take into account the fact that empty cells could be found for reasons other than pepperpot brood. A factor of 6 is often quoted for a one year old queen. This then leaves 12 cells due to pepperpot.

The number of sex alleles in the colony (N) is now given by 100/12 = 8.33

This procedure is repeated on several other frames and the average number calculated.
Estimating the number of alleles in a colony

Following from the above the degree of pepperpot brood which might be expected will rage from 0% in a colony where the queen has not mated with a drone with an allele in common, to 50% where the queen mated with only one drone having an allele in common.
Sex alleles and the viability of the colony

How does the number of alleles carried by the bees in an apiary affect the viability of each colony? Clearly the greater the number of alleles the healthier the situation. However, the beekeeper wishing to develop a line of bees wants to breed from the best queen. If mating of the new queens takes place in the apiary, there is a high probability over time that the bees will become inbred. Clearly the same queen should not be used in successive years because the new queens produced in the second year could mate with drones produced by the queens from the first year i.e. they would have some alleles in common.
The best solution to this problem would be to allow the new queens to mate in another apiary where bees of a similar character are to be found. In the present state where feral colonies are no longer found owing to varroa, only the beekeeper can ensure that there is a sufficient mix of alleles present in the apiary. The minimum number has been estimated to be about 11 i.e. there are 55 heterozygous combinations. The beekeeper could ensure that this number is exceeded by bringing in new queens each year.
Winter survival of the colony has been found to be directly related to the number of alleles carried by the colony. If the number of alleles falls below the minium, there is a greater chance the colony will not survive.
It is an interesting exercise to calculate the number of
heterozygous combinations from an assumed
population containing 19 alleles.
Mathematically this is given as 19!/(2!)(17!) = 171.
heterozygous mating combinations
In the chart the number of heterozygous combinations for 19 alleles is 171, for say 11 alleles this decreases to 55, and for 6 alleles decrease further still to 15.

Next page: Genetics 6.
queen drone mating with one allele in common
Theory and practice

The graph on the left shows a plot of what might be expected if a queen mated with a drone or drones having one allele in common. It is assumed that each allele combination is equally represented in the brood.

For example suppose the queen mated with 5 drones, then there are 10 possible heterozygous combinations of alleles. If however there is one allele in common then 1/10 of these combinations would be homozygous and so produce 10% pepperpot brood.

Similarly if the queen mated with 7 drones then there are 14 possible heterozygous combinations. In this case if there is one allele in common then 1/14 would be homozygous . The pepperpot brood would now be 7%.

Hence as quoted above
number of sex alleles in a colony (N) =
100/(% pepperpot brood)
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