I started trying to solve this inquiry by looking at the results of blood tests. It appears none of the ones I found have vitamin levels.
I then searched, pubmed.gov for "fat soluable vitamins vegetarian" as most research does not say "vegan".
Position of the American Dietetic Association:
Vegetarian Diets says nothing really about fat quantity.
I recall the period is roughly 1-3 years. So I searched B12 depletion years and got this:
N Estimation of the Period Covered by Vitamin B12 Stores
With maximum stores, but for people with pernicious anemia, the threshold1 of adequate B12 is reached in 1.5 years (549 days).
Deficiency signs may occur in 1.5 ...
Dietary cholesterol should eliminate all options. No whole food plant products contain cholesterol. One could also do statistical combination of tolerances to filter foods in a database:
Protein, specific amino acids in combination to a certain extent (e.g., what's defined as complete protein foods), could be used to rule out most meats and dairy (such as ...