This group stresses being able to stay alive for indefinite periods in life-threatening wilderness scenarios, including plane crashes, shipwrecks, and being lost in the woods. Concerns are: thirst, hunger, climate, terrain, health, stress, and fear. The rule of 3 is often emphasized as common practice for wilderness survival. The rule states that a human can survive: 3 minutes without air, 3 hours without shelter, 3 days without water, 3 weeks without food. 
One newsletter deemed by some to be one of the most important on survivalism and survivalist retreats in the 1970s was the Personal Survival ("P.S.") Letter (circa 1977–1982). Published by Mel Tappan, who also authored the books Survival Guns and Tappan on Survival. The newsletter included columns from Tappan himself as well as notable survivalists such as Jeff Cooper, Al J Venter, Bruce D. Clayton, Nancy Mack Tappan, J.B. Wood (author of several gunsmithing books), Karl Hess, Janet Groene (travel author), Dean Ing, Reginald Bretnor, and C.G. Cobb (author of Bad Times Primer). The majority of the newsletter revolved around selecting, constructing, and logistically equipping survival retreats. Following Tappan's death in 1980, Karl Hess took over publishing the newsletter, eventually renaming it Survival Tomorrow.
In the next decade Howard Ruff warned about socio-economic collapse in his 1974 book Famine and Survival in America. Ruff's book was published during a period of rampant inflation in the wake of the 1973 oil crisis. Most of the elements of survivalism can be found there, including advice on food storage. The book championed the claim that precious metals, such as gold and silver, have an intrinsic worth that makes them more usable in the event of a socioeconomic collapse than fiat currency. Ruff later published milder variations of the same themes, such as How to Prosper During the Coming Bad Years, a best-seller in 1979.
Hate to break it to you, but your dog probably has a better chance of making it through a total societal collapse than you do. A quick Internet search of "dog survives" lists everything from drowning to being shot, from bear attacks to war -- whereas the closest you've ever come to "surviving disaster" is getting your wisdom teeth pulled, and even then it was only with the help of a cadre of trained medical professionals and a carton of the strongest painkillers on Earth.
To me, the best option is to store emergency food. How much? If you have none, store enough for a few days. If you have enough for a few days, get enough for a week. How much you store depends on what time frame you think you're at risk for having to be completely independent. The early settlers of the southwest liked to store enough food for a whole year and still do to this day!