question of population genetics

[kamui]

I am interested in the variations in intra-population diversity among populations, because heterogeneous distributions of intra-population diversity may harbor both genetic hotspots or coldspots which are often prioritized targets of conservation.

Then I am trying to assess such differences in genetic variations among the populations with some datasets, by the coefficient of variation (CV) of expected heterozygosity (He). However, some of my coworkers suggested that variation in He is a very similar measure to Fst, and that one might expect a positive correlation between the two.

Yet, some very simple examples (e.g.: Case1 vs. Case2) show that Fst can be varied whereas the variation of He is held constant. Such inconsistencies can be attributed to the fact that even the different combinations of alleles can lead to the same levels of intra-population variations.Hence, I believe that assessing the variations in intra-population diversity among populations has a different meaning from evaluating just Fst. What do you think?

I am a little confused now, looking forward to any replies.
Thank you for your advice .

++Case 1++ (Fst=0.20, CV of He=0)
population pop1 pop2
allele a 0.5 0.0
allele b 0.5 0.5
allele c 0.0 0.5
allele d 0.0 0.0

++Case2++ (Fst=0.33, CV of He=0)
population pop1 pop2
allele a 0.5 0.0
allele b 0.5 0.0
allele c 0.0 0.5
allele d 0.0 0.5