Cattle, which are ruminants, generate methane through the process of biological fermentation that takes place in the rumen and reticulum, the front two parts of the stomach which are involved in the familiar ruminant behaviour called "chewing the cud". This grinding and chemical processing is needed to extract the nutrients from the cellulose in grass. The good news is that over 95% of methane is expelled through the mouth in a process called 'eructation' - belching. I'll pass over the other 5%.
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| A jersey cow undergoing methane measurement (www.afbini.gov.uk) |
The annual contribution of methane to the atmosphere from all this belching by the main domesticated species was estimated in 1983 as 74 Tg/ year of which 54 Tg/year came from cattle and compared with ~6 Tg/year emitted by wild ruminants. The contribution from 36 million cattle across 10 US states in 2008 was estimated at 2.5 Tg compared with a notional displaced population of 30 million bison which would have produced 2.2 Tg/year. This suggests that the cattle and buffalo methane contributions balance out. However, in 1983 there were 115 million cattle in the whole USA while the maximum population estimate for North American bison before 1492 is 60 million. The net difference means that American cattle account for around 8% of the total anthropogenic methane contribution from domestic cattle with about another 4% from Australia and 3% from Canada.
Of course, we can't just project these figures back 8,000 years; the number of cattle appears to be linked to the exponential rise in the human population and the ratio of people to cattle has undoubtedly varied over time. However, there is a promising area of research to understand to what extent early domestication of animals has contributed to the anomalous atmospheric concentrations of carbon dioxide and methane.

