Down and dirty with e-to-the-t
Here is the equation we have so far:
Nt = N0 * 2ts
what we need to do is get rid of the "ts" and put in a t.
We've already been using the relationship :
# timesteps = actual time / generation length
So, for E nice, if the actual time is 50 minutes and the generation length is 20 minutes, then
# timesteps = 50/20 = 2.5
Likewise for E. quick:
#timesteps = 50/15 = 3.33
We can get rid of "ts" in the above equation by substituting actual time / generation length, or in other words
Now our equation looks like this:
Nt = N0 * 2t/g
This change looks very small, but it's actually quite important. It is simpler to find population size as a function of t, and much more importantly, now we can compare the population sizes by graphing them against actual time.
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