Why haplodiploidy makes sisters unusually close relatives
In the usual diploid system, a female shares about half her genes with a full sister and half with her own daughter. Haplodiploidy changes that arithmetic. A male has only one set of chromosomes, so all his sperm are identical, and every daughter receives the same paternal genes. Full sisters therefore share all of their father's contribution and, on average, half of their mother's, which can push their relatedness above the level they would share with offspring [1][2]. This relatedness asymmetry is the core of the classic idea that haplodiploidy could favor altruism: a female may gain more inclusive fitness by helping rear a sister than by rearing a daughter [2].
The effect is not automatic or fixed. It depends on the parents' mating arrangements, especially how many males a queen mates with. If a queen mates with several males, daughters fathered by different males are only half-sisters, and the relatedness advantage shrinks [4]. So haplodiploidy creates the possibility of unusually high sister relatedness, but paternity patterns decide how much of that possibility is realized in a given species [4].
Why nonsocial haplodiploid species weaken the explanation
If haplodiploidy reliably made helping pay, then haplodiploid species should tend to be social. Many are not. Nonsocial haplodiploid insects, including an ancient nonsocial sawfly ancestor of social insects, show that the relatedness asymmetry by itself is not sufficient to drive altruism [2][5]. These species have the same chromosome system and the same potential sister-sister relatedness, but they do not show the helping behavior the hypothesis would predict [2].
That gap points to other requirements. The contrast between the eusocial Hymenoptera and nonsocial relatives is a central reason researchers look beyond haplodiploidy, because the chromosome system cannot explain why some lineages became social and others did not [4]. Ecology, mating patterns, and the specific costs and benefits of staying versus leaving appear to be part of the answer, and the haplodiploidy hypothesis is best treated as one contributing factor rather than a complete explanation [2][3][4].
Sources used in this answer
Sex-biased dispersal, haplodiploidy and the evolution of helping in social insects
Haplodiploidy can make helping more favorable without requiring a sex-ratio bias or active kin discrimination.
Haplodiploidy
Haplodiploidy may promote altruism through relatedness asymmetry, but nonsocial haplodiploid species such as an ancient sawfly ancestor show the system alone is not sufficient.
The ecology of social evolution in termites
In termites, reduced relatedness lowers the inclusive fitness benefits of helping, and the perceived importance of the haplodiploidy hypothesis has faded.
Paternity in eusocial Hymenoptera
Mating patterns such as paternity variation change relatedness among female offspring and therefore the benefits of reproductive helping, and the contrast with nonsocial relatives matters.
Honey and Social Insects
Haplodiploidy may aid the initial evolution of altruism through relatedness asymmetry, as illustrated by a nonsocial sawfly ancestor.
