DorianBlack
Some inbreeding isn't a problem as long as there are no carriers of recessive alleles for severely detrimental traits. The minimum is probably around 10, though of course, the more, the better.
You
might be able to have carriers, but you'd have to carefully match them up with people whose traits show up as dominant alleles. Don't foget the chances of genetic mutation amongst individuals.
Inbreeding could result in a far higher phenotypic expression of deleterious recessive genes within a population . As a result, first-generation inbred individuals are more likely to show physical/health defects, including:
reduced fertility both in litter size and sperm viability
increased genetic disorders
fluctuating facial asymmetry
lower birth rate
higher infant mortality
slower growth rate
smaller adult size
loss of immune system function.
Natural selection works to remove individuals who acquire the above types of traits from the gene pool. Therefore, many more individuals in the first generation of inbreeding will never live to reproduce. Over time, with isolation such as a population bottleneck caused by purposeful (assortative) breeding or natural environmental stresses, the deleterious inherited traits are culled.