Maximum avoidance of inbreeding in haplodiploid populations

Area of Science:

• Population Genetics
• Quantitative Genetics
• Evolutionary Biology

Background:

• Maximum avoidance of inbreeding (MAI) is a well-studied mating system in diploid populations.
• Extending MAI principles to haplodiploid populations presents a significant theoretical challenge.
• Haplodiploid organisms have unique genetic systems influencing inbreeding dynamics.

Purpose of the Study:

• To address the unresolved problem of extending Maximum Avoidance of Inbreeding (MAI) to haplodiploid populations.
• To define a mating system for maximum inbreeding avoidance in haplodiploid populations over one cycle.
• To analyze the long-term efficacy and inbreeding dynamics of this system.

Main Methods:

• Theoretical definition of a one-cycle Maximum Avoidance of Inbreeding system for haplodiploid populations (MAI-hd).
• Mathematical analysis of inbreeding coefficients over generations for MAI-hd.
• Numerical comparison of MAI-hd with random mating and circular half-sib mating.

Main Results:

• A set of mating systems (one cycle MAI-hd) was defined for haplodiploid populations with a Fibonacci number of females.
• Repetition of one cycle MAI-hd does not achieve global Maximum Avoidance of Inbreeding across all generations.
• MAI-hd results in a lower inbreeding coefficient in early generations compared to random or circular half-sib mating.
• MAI-hd exhibits a higher asymptotic rate of inbreeding compared to diploid MAI.

Conclusions:

• Maximum avoidance of inbreeding can be achieved for one cycle in specific haplodiploid populations.
• Sustained Maximum Avoidance of Inbreeding is not possible through simple repetition of the one-cycle system in haplodiploids.
• The MAI-hd strategy offers short-term inbreeding reduction at the cost of increased long-term inbreeding rates, similar to diploid systems.