It may be because they would have had to travel for an extended length of time through some seriously cold regions.
:') PreColumbian Central America (including Mexico) shows population peaks three or four times (or more) estimated to exceed those of the postcolumbian era until the 20th century -- followed by collapse. Could be due to the climate cycle (which wouldn't be that surprising), but it could also be an indirect consequence of that same cycle -- IOW, introduction of disease germs from the Mediterranean basin.