Quasipoisson regression goes beyond standard poisson regression in taking into account overdispersion (whereby the dependent variable's variance is much greater than its mean).  This is explained at  [this article][1].

But how much dispersion is so much that it should rule out even the use of quasipoisson regression?  

In one highly upvoted [answer][2] on this site, quasipoisson is used even when the variance is 206 times the mean.  Is this sound?  


  [1]: https://digitalcommons.unl.edu/cgi/viewcontent.cgi?article=1141&context=usdeptcommercepub
  [2]: https://stats.stackexchange.com/questions/650909/how-should-i-analyse-tv-episode-popularity-while-accounting-for-time