I don't know of Wolfram's statistics include population
  estimates of non-counted (no Census) populations or not, so it
  _might_ be misleading. The pink area stops at 1750AD. But
  considering that governments have been counting heads for as
  long as we've had cities, it's at least accurate for as long as
  we've had cities and populations willing to be counted. 1750 AD
  shows the beginning of a big "jump". It also coincides with
  explorations of otherwise "uncharted" lands and people's; the
  exploits of travelers and[1]pop-of-world their head-counting of
  "natives" likely added to the number.
  So, it's more a chart of "civilizations who counted people"
  rather than absolutely fact. Nevertheless, interesting. It helps
  explain why a few people in ancient times had such HUGE IMPACTS
  on the millenia that followed: There were fewer people.

References

  Visible links
  1. http://icopiedyou.com/wp-content/uploads/2015/09/pop-of-world.jpg