QUOTE(dogu4 @ May 15 2007, 11:48 AM)

As for the rapid decrease in "game animals", I presume you mean the use of the word "rapid" which would be subject to some interpretation. There is no uncertainty that the post-european introduction of commercial hunting, agriculture, habitat destruction and invasive species has annihilated quite a few populations that were robust, caused the extermination of a number of identified species (Eskimo Curlew, Passener Pigeon, Eastern Forest Buffalo, Sea Mink, Shrag whales...the list goes on) and presumably a certain number of unidentified species (modern biology and systematics still being centuries away in the future as the first commercial harvests took place in the 1500s).
You're right the word "Rapid" would depend on interpretation. Some animals like the White-Tailed Deer it's believed have seen a dramatic increase since the time Columbus landed, which would probably be a more logical food source than a small bird. By the arrival or Europeans I guess the most significant influx of European settlers would have been with the arrival of the Pilgrims in 1620. Of the species you mentioned the Eskimo Curlew became extinct in 1962, Passenger Pigeon 1914, and the Sea Mink in 1894 all of which were long after the Europeans first came to America. As you mentioned the Passenger Pigeon was heavily hunted, however records show the population only declined slowly until 1870. Between 1870 and 1890 there was a catastrophic drop in their population. Some scientists now believe that drop was caused by Newcastle Disease, which unfortunately was imported to America from fowl brought in from Europe. Even so with all of these their population was still significant for quite some time after the Europeans started to come here, almost 300 years.
The other two species you mention, the Shrag Whales I can't find any mention of them on the Internet, is that the correct spelling? In reference to the Eastern Forest Buffalo there's a question whether they were actually any different than the Plains Buffalo (Bison) just living in the Eastern US.
QUOTE
As late as 1871 buffalo outnumbered people in North America. In that year one could stand on a bluff in the Dakotas and see nothing but buffalo in every direction for thirty miles. Herds were so large that it took days for them to pass a single point. Wyatt Earp described one herd of a million animals stretched across a grazing area the size of Rhode Island. Within nine years of that sighting, buffalo had vanished from the Plains.
http://raysweb.net/specialplaces/pages/endofwild.htmlSo here again the time for buffalo to become scarce was almost 300 years which I guess could be considered "Rapid" in the overall history of the planet, but it's a long time in comparison that North America has only been inhabited by Europeans for less than 400 years. Certainly there are and were a number of other animals that bigfoot could exist on, nothing points to his diet consisting exclusively of any of the species you've mentioned. If he's omnivorous there was and still are plenty of moose, bear, deer, elk, antelope, coyotes, wolves, bobcats, lynx etc etc etc he could have lived on. I don't see where anything you listed would have made that dramatic of an impact on the overall availability of food sources.
If you go to this site,
http://www.usapopulationmap.com/race_1790.html there's an interactive map of the Census Reports in the USA, starting with the first census of 1790. The map also shows which states were inhabited at that time. In 1790 there were just over 3 million people and as you see the only states with people in were located primarily on the eastern seaboard. Just a rough guess it looks to me like 90% of the rest of the country was still basically undisturbed. 1800 went just over 5 million and still a good 80% of the country undisturbed. If you keep clicking on the dates of that map, you'll see there wasn't any impact on the Western half of the U.S. until 1850.
So if bigfoot is/was impacted it looks like it only occured over the last 150 years. So if his population was much larger before 1850 one would expect to find many more reports or references to them than what we've come across. Since there is a scarcity of reports back then, such as found in old newspaper articles etc, I would guess there hasn't been an increase in their population and at the same time nothing suggests there's been a dramatic decrease either.
(Edited to add)
The REALLY SCARY PART of that interactive Census map, also projects the future population of the US. Right now in 2007 we are just over 300 million people, in about 53 more years they project our population will double to over 600 million and less than 30 years after that they project we'll hit over 1 BILLION!!! Where are they going to put them all? I doubt I'll see the double of population when it comes around but I'm sure many of the young people around today will and the youngest may even see the 1 Billion mark hit. To me that's really scary because I just can't imagine what life will be like with that many people tromping around. We're probably seeing the last of much of the wildlands in our lifetime, make way for more and bigger cities coming soon. I suppose at some time in the not-too-distant future the only wildland left will be National Parks.