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## The Young-Earth Creationist Population Model

Overview

Scientific models establish their validity by working over a wide range of conditions. A model that generates only a few usable values is generally regarded as useless. Here is a simple example of model testing using a model actually advocated by creation scientists! (Index to Creationist Claims: CB620) This model has the advantage that any high-school graduate should have the mathematical skills necessary to do it. This problem is simple enough to do in a spreadsheet program.

The Mathematical Details

Consider this simple creationist global population model. P0 is the starting population at the time, t0. The population grows at a constant fractional growth rate, r, defined as the fractional growth per unit time. The population, P, at some later time, t, is then given by

P = P0 (1 + r)(t - t0)

Note that this is the same equation used in calculating earnings in interest-earning bank accounts, where P and P0 are replaced by dollar amounts.

Start in the year of the (claimed) Global Flood (2349 B.C.), t0=-2349. Assign a starting population of eight people, so P0 = 8. Assign a growth rate of 0.5%, so r=0.005. With these parameters and the simple population growth model we get a good match for the t = 2008 global population of about P = 6 billion. (I actually get a better match with 0.47% growth rate but that's a detail).

With only two data points, this equation is guaranteed a solution that matches at two points. From a scientific perspective, the important question in testing a model is if it works for times between these two points (interpolation).

Questions

Years are from the Biblical Timeline available at Creation Ministeries International (CMI), formerly associated with Answers in Genesis.:

1. What was the global population at the time of the "Sojourn of Israel" (1921BC)
2. What was the global population at the time of the Exodus (1491 B.C.). Does this include the deaths of the first born of Egypt?
3. What fraction of the global population did Sampson kill with the jawbone of an ass (Judges 15)? The Biblical timeline from CMI places this between 1491 B.C. & 1012 B.C. Use a better value if you have one.
4. What was the global population at the time of the birth of Jesus (5 B.C.)?
5. If you reworked the problem considering there is no Year Zero in the Gregorian calendar, how much of a difference does it make in your final modern global population?