Yeah, the stuff about feed production causing emissions seems very wrong to me as well - all the sheep and dairy farms I know (and I used to live in the middle of Cheshire, surrounded by them) have the animals just eating grass. And with lamb, especially, a lot of lamb comes from sheep grazing on scrubland and hills which couldn't be used for crop growth. On the other hand, rice and peanuts have to be imported (I think - I've certainly never heard of anyone growing them over here) and so would be relatively more carbon-heavy than the table shows.
Dairy farms are increasingly using imported feeds as they get more intensive but sheep rearing is still low impact in this country. But yeah, as I commented below, this analyis is based on US agriculture which is very different to ours (although we do import a lot of lamb from New Zealand, which has a higher impact).
Actually I stand corrected on the lamb issue - as the commenter below points out, the report I found for the UK does indeed show our lamb production has higher emissions than the world average. I suspect because our low intensity production means much lower yields.
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