EDIT: I corresponded with Brian Tomasik directly, and the best answer I now have for this question is "If someone gives up 1 lb of chicken, total consumption falls by 0.76lb in expectation." The source is a book by an agriculture professor. See https://reducing-suffering.org/comments-on-compassion-by-the-pound/#Elasticities
Recently, I began eating vegetarian. I was motivated both by a utilitarian desire to decrease animal suffering, and by a non-utilitarian desire to live more in accordance with my values. (So, in particular, I don't think the answer to this question will strongly affect my decision to eat/not eat meat.)
A friend objected to the idea that eating vegetarian resulted in less suffering for animals. He reasoned that economics says a drop in demand for some commodity should cause prices to fall for that commodity, and overall consumption remains the same. (Non-vegetarians would just buy more meat.)
I was surprised by this line of reasoning and hadn't thought of it before. (By contrast, I am familiar with the question "does my not purchasing chicken really cause the supermarket to order less chicken?" and am comfortable with the answer discussed e.g. in https://reducing-suffering.org/does-vegetarianism-make-a-difference/).
I did some research and learned the term "cumulative elasticity" from https://animalcharityevaluators.org/research/dietary-impacts/effects-of-diet-choices/ (although is this the term of art? I can't find many other hits when Googling.) When you abstain from buying X kg of chicken, total supply of chicken goes down by X kg * cumulative elasticity.
The ACE article links to https://docs.google.com/spreadsheets/d/1iNDQIt9MRD4r1ws5M_2hQ-MNjMY-bcUra0fpOmF4Am0/edit#gid=0 which gives an estimate for the cumulative elasticity of chicken as between 0.06 and 0.7. But the article I got it from has a big disclaimer at the top: "We do not feel that this report is up to our current standards." This, and the wide range, make me want to see other sources of data.
I'd like to know:
- Am I going about answering my friend's question correctly?
- If I am, has any other work been done on estimating the cumulative elasticity of (say) chicken? How is such research done?
Thanks for the clarification, I understand your question now. You're asking about estimating the size of a demand shift that results from one economic agent leaving the market, as opposed to an elasticity. I believe we're asking the same question; with elasticities, I want to investigate the underlying mechanism that takes us from your leaving the market to a shift in the demand curve. Whereas you would like to know the end result only.
The answer to this question (the effect on aggregate demand of one person leaving the market) may be difficult to estimate correctly. The best approximation I can think of in the existing literature is the effect of food scares on demand. For example, this paper on news coverage of salmonella outbreaks and this paper on media coverage of the BSE (mad cow) outbreak on demand for British beef both show the impact on demand of media coverage of food scares. Of course, they have to use a media coverage as a proxy for people leaving the market, since there's no way to collect data in that way.
Circling back to your friend's question, I do think that it's unlikely that you or another individual leaving the market would affect price enough to trigger increased purchases in the people remaining. I suspect that you leaving the market would also have a very small effect on aggregate quantity demand, in the same way that your marginal non-purchase of chicken will be unlikely to change the way that the supermarket orders their products. Similarly, just you entering the market for meat alternatives won't cause a large increase in demand. I do think your discussion with your friends will plant some seeds, though.