There are a few variations on how to ask this, which is about the relationship between speed and endurance.
1) Suppose one can hit a certain time for a 200m with a rolling start. What is the minimum number of seconds one could hope to drop for a 1km with a rolling start? The better one's endurance, the less time one will lose, but how far can endurance take one?
2) Does the speed one can hit for the 200m make a significant difference? E.g. does the answer differ if one can do the rolling 200m in 34s, 32s, 30s, 28s, ...?
3) Suppose that one can hit that rolling 200m consistently in an interval session. E.g. one can hit the time repeatedly with a rolling 200m hard - 200m jog rest. How much does this affect the answer? E.g. presumably the minimum gap between the 200m and 1km times will go down if one can hit the 200m time for 20 x 200, but how about 10 x 200, 5 x 200, ...?
I am most interested not in what one could do in an all-out 1km, but what one could do in a hard interval that one could run say in a 5 x 1km session with 400m jog rest.