Reply to thread

Message: <blockquote data-quote="Conaill" data-source="post: 2221498" data-attributes="member: 1264">No need to pull out Excel. Here's a quick little calculation to figure out how many slaves you will eventually converge to:At "steady state", i.e. once the total number of slaves stabilizes, the number of new slaves has to be equal to the number of slaves that die each year. If you assume a fixed percentage die each year the math becomes very simple.In your original setup, you had 50,000 new slaves per year, and 1/8 of the slaves died each year. That means that eventually, the total number of slaves will stabilize to a whopping 400,000 (400,000 x 1/8 = 50,000).With 50,000 new slaves per year and only a 4.5% "turnover" rate, you would eventually converge to an amazing 1.1 million slaves!The larger the turnover rate, the faster you will reach this steady state slave population level (the amount of time needed to reach this level will be inverse proportional to the rate). The 10 year brute-force calculation you've been doing is only relevant if slavery has really only been going on for the past 10 years.</blockquote>