Perennials combined with animals can be made into a much more self-sustainable cycle.
Be careful with numbers, they can be useful but fail to show the full picture at the same time.
I've heard that one about "the annual crops" before, and it's simply not true that it's "the" alternative. It's claimed in this one study that's echoed in loads of articles[0][1][2][3] that assumes that vegans don't eat perennials, which is kind of ignoring the existence of apples, apricots, asparagus, artichoke, avocados, broccoli, currants, basil, blue- and blackberry, chives, fennel, garlic, ginger, grapes, kale, kiwis, leek, mint, onions, oregano, pears, persimmons, pineapples, plums, pomegranates, potato, rasp- and strawberries, radish, rhubarb, rosemary, sage, thyme, tomatoes for a start.
This view about animal husbandry being harmless for the environment has been disproven[4][5][6], and is on the line with global warming denialism.
[0]: http://qz.com/749443/being-vegan-isnt-as-environmentally-fri...
[1]: http://www.pbs.org/wgbh/nova/next/earth/going-vegan-isnt-act...
[2]: http://www.foxnews.com/health/2016/08/11/new-study-reveals-v...
[3]: https://quietkinetic.wordpress.com/2017/03/09/global-veganis...
[4]: https://www.theguardian.com/environment/2008/sep/07/food.foo...
[5]: http://www.cowspiracy.com/facts/
[6]: https://www.theguardian.com/environment/2014/dec/03/eating-l...