This study took thousands of participants and measured their vitamin D blood levels and bone densities. Each person created a data point on the graph below. The top line is for European light skinned people, middle line for Latino skinned people which have a medium skin pigment with the lower line being black Americans.
Update: The paper changed units on me without noticing. My previous optimal vitamin D post stated that repletion zone was 30 - 100 ng/ml, where this graph the white zone is approximately 20 - 100 nmol/L. So they were close enough for me to be tricked! Since all other vitamin D posts are in ng/ml I will convert this graph into these units. This is done by dividing the numbers below by 2.5. This results in the white band starting at approximately 8 and ending at 40, with the end of the graph being 72 ng/ml.
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