Hi Vasco! Yes, it would be very interesting to collaborate on this. Right now we do not have the resources (in terms of people, and time) to do it ourselves, but we would gladly collaborate with anyone leading this effort. One possibility would be running WTP tests with people, from various demographics, to determine the extent to which they would pay to trade Disabling Pain by Hurtful Pain, or Excruciating Pain by Disabling Pain and so on (having the understanding of these intensities well explained and calibrated with examples, past experiences, etc, within a clear set of criteria).  This would help understand some level of equivalence (though from a "human" perspective) between the categories, but also generate rational WTP numbers for any estimates of Cumulative Pain (e.g., if cage-free campaigns avert X hours of Disabling Pain per hen, and people are willing to pay on average 1-10 dollars to avert one hour of this pain, you can in theory calculate the extent to which they would pay more for improved welfare, run CBA analysis, apply these to funding decisions, etc)

By not tolerated we mean that Excruciating pain can't be sustained for long (e.g., hours, as opposed to minutes) without neurological shutdown. It will tend to overrides an organism's ability to function or respond coherently, with even powerful opioids providing minimal relief, or desperate attempts to escape pain even at the risk of death . Examples would include severe burning in large areas of the body, dismemberment, or extreme torture. 
Examiing empirically trade-offs with milder pain could be interesting, but may be challenging given the nature of truly excruciating pain . Perhaps comparing to severe but more sustained pain (like bone fractures)?
 

This is indeed a legitimate concern. We do not have accurate information on the distribution of BCC-approved breeds used in the committments made so far, but I believe that organizations working on and monitoring the committments (possibly the Humane League and CIWF, which publishes the Chicken Track), are likely to have this information. From statements of company's representatives, it seems that the Hubbard breeds are prevailing in Europe, see e.g. this statement: "In Europe, where the issue of breed is more advanced than in the U.S., the Hubbard JA757, JA787 and Redbro are the main breeds used for the BCC market".

It may be interesting to know though that an experiment published recently, which used Avian Ranger Classic (the fastest growing of the Aviagen breeds), consistently showed various welfare benefits associated with this slower-growing breed, even when it was raised in higher stocking densities than the conventional fast-growing breeds (showing that it is better to be this slower-growing breed in high densities than a fast-growing breed in low densities).  

If also useful: our estimates are very conservative, and represent what we estimate to be the minimum time in pain averted with the reform. In this chapter (table 1), there is a list of welfare harms excluded from analysis, which if considered should increase further the estimated benefits of the transition to  slower growing breeds.

Thanks! I will revise the post to make sure it is clearer!

This is an interesting question, relating to the evolutionary role of pain going beyond protection of the individual survival and immediate reproduction (or that of kin), but affecting the group as a whole. As you said, debilitating pain (i.e., pain that prevents individuals to function normally) for a solitary species may also have different moral implications than for a social species even if the unpleasantness of the pain experience is the same.

My impression is that it would be difficult to determine differences in pain aversiveness among species with different degrees of sociality given the confounders present. For example, there might be differences in hedonic and cognitive capacity between social and non-social species (see eg here), hence differences in aversiveness to pain for reasons other than the context of the painful experience.

Thank you for the detailed comments, it is really nice to see you were so thorough with the text and the studies we cite, these are good points!

If we understand you well, with a few exceptions (as in the case of the time trade-off study, [21]), what you mention is that the superlinearity observed could be a by-product of participants of the studies interpreting the designed scales of intensity (even the numerical ones) as not equidistant, hence a non-equidistant plot of aversiveness could, for example, be observed if the relationship between intensity and aversiveness was in fact linear.

My impression, however, is that we are referring to different things when we say pain intensity (and this is our fault for not being clearer on the text, we will make the distinction clearer). My understanding is that ‘pain intensity’ is often used simply as a synonym for aversiveness or unpleasantness, as opposed to physical intensity of stimuli/pain signals. 

As I see it, assessments of pain intensity (unpleasantness) are typically made on what can only be understood as an ordinal scale. Whether evidence on pain unpleasantness is collected with verbal descriptors or numerical descriptors, these unpleasantness scales (i.e. the intensity scales used) can only be interpreted as ordinal exactly because we do not know what type of understanding of the scale study participants have. Even though some authors use the data collected (e.g., pain intensity/unpleasantness ratings in scales from 1-10 or 1-100) and calculate things such as areas under the curve for plots of ‘intensity’ (meant as unpleasantness) ratings x duration, the data is still ordinal for practical purposes and unsuitable for these operations. 

So the effort in this work was to try and see if it would be possible to make such a conversion of pain unpleasantness (from ordinal to ratio scale), and determine the distance among the categories of unpleasantness on a ratio scale. Thus, in the case of the psychophysics studies, I do not see three parameters: intensity of physical stimuli, pain intensity and pain aversiveness, but only two: intensity of physical stimuli and aversiveness (we will correct the text where we mention that the relationship is exponential).

On the availability of studies, unfortunately, all of them were riddled with limitations. Although designs such as the time trade-off approach (used in study [21]) are much better, to our surprise the literature is extremely scarce. So no good studies, and no recent studies either, as far as we are aware. This is why we currently prefer a disaggregated approach, as we do not see how, with the evidence at hand, it is possible to estimate the equivalence weights with any precision .
 

Yes, I believe the salience of more intense experiences is disproportionally greater, hence the possibly disproportionally stronger memory trace.

On chronic x acute pains, this is our general impression too. With chronic pain there is the possibility of sensitization over time and multiple additional longer-term consequences. 

On memory differences with other species, that is a very interesting question, one for which there is not much research available as far as I am aware. For example, observations of the Peak-End rule mentioned in the text are widespread in humans, but so far there has been only one experiment testing it in animals (dairy cows). That said, at least in vertebrates intense pain has been observed to lead to greater levels of fearfulness, reduced resilience, sensitization, among others (so if it happens early in life, the effects of intense pain are likely much more pervasive). So at least in vertebrates, either memory is present, or intense pain leads to a reconfiguration of pain coping mechanisms.

Sure, we would be glad to review a project like this. Coincidentally, today I came across an EA post where four people from RP articulated their reasons for choosing to present, or not to present, sentience weights for invertebrates. Our rationale for not providing intensity equivalence weights are very much aligned with the views of Jason K, particularly the notion that any weights we use would be overemphasized and reduce our credibility with potential collaborators. That said, we are not advocating for giving up on this area, it is just that we think we are not there yet.

Thanks for your nice words about our work :) . Yes, I see it can be frustrating to have estimates disaggregated (it is very much for us too), and that it can reduce the use and impact of the work. At this moment though we feel it is important to have a solid evidence-based model to quantify animal suffering. That is, a model that is very robust to scrutiny by academics (so they are more likely to adopt it) and by the industry, one in which all estimates can be justified thoroughly.Traction in the academic community is important because as a small team, we would be unable to analyse all situations of animal suffering (in farming context, research, etc) by ourselves, so ideally academics should adopt it too to enable increasing the coverage of the analyses substantially. Robustness against criticisms by the industry is also important to ensure the credibility of this new type of evidence, as used by advocates, in this early stage.  So while we can justify well time in four intensities of suffering, knowledge is not yet available for us to do the same regarding equivalence weights. That said, we have been using summaries of the estimates like "there is a decrease of about 60% of the time in pain for every hen raised in an aviary instead of a cage". Will try to add summaries like this in the forthcoming work, thanks!  

Thanks! I like the idea of a 'minimum transparency rating' policy in the supply chain.