Total number of neurons and welfare of animal populations

By Vasco Grilo🔸 @ 2025-10-11T08:57 (+28)

Summary

Methods

Overview

I estimate the annual welfare in QALY/year of cattle, humans, hens, broilers, farmed BSF larvae and mealworms, wild birds, farmed finfishes and shrimps, wild mammals and finfishes, and soil ants, termites, springtails, mites, and nematodes. I calculate that multiplying:

Here are my calculations.

Population

Here are my values for the population, from the smallest to largest:

Welfare range

I set the welfare range as a fraction of that of humans to “number of neurons as a fraction of that of humans”^“exponent of the number of neurons”, with the exponent ranging from 0 to 2. For an exponent of the number of neurons of:

RP’s moral weight project included a report by Adam Shriver concluding “there is no straightforward empirical evidence or compelling conceptual arguments indicating that relative differences in neuron counts within or between species reliably predicts welfare relevant functional capacities”. I guess there are other factors besides the number of neurons that influence the welfare range. However, an exponent of 0.188 explains 78.6 % of the variance of the estimates in Bob’s book. I get this exponent from the slope of the below linear regression with null intercept of the logarithm of RP’s preferred welfare range as a fraction of that of humans on the logarithm of the number of neurons as a fraction of that of humans. I rely on a simple formula for the welfare range to decrease noise, and easily obtain estimates for animals not covered in the book to explore implications for cause prioritisation.

My formula for the welfare range as a fraction of that of humans implies a welfare range of 0 for organisms without neurons, which I think is an underestimate, as I am not certain they have a constant welfare per unit time as a result of not having neurons. Furthermore, I speculate effects on microorganisms, which do not have neurons, are much larger than those on soil animals, although positively correlated.

I use the following values for the number of neurons, from the highest to lowest:

Welfare per animal-year

Here are my values for the welfare per animal-year as a fraction of the welfare per fully-happy-animal-year, from the lowest to highest:

My best guess is that soil animals have negative lives. I am very uncertain, but my assumption of negative lives is quite typical. Karolina Sarek, Joey Savoie, and David Moss estimated -0.42 for the “wild bug” in 2018, which is more negative than what I assumed.

Results

1E+N means 1*10^N. For example, 1E+2 means 1*10^2 = 100.

Population

Number of neurons

Total number of neurons

Population, number of neurons, and welfare per animal-year

AnimalsPopulationPopulation as a fraction of that of humansNumber of neuronsNumber of neurons as a fraction of that of humansTotal number of neuronsTotal number of neurons as a fraction of that of humansWelfare per animal-year as a fraction of the welfare per fully-happy-animal-year
Cattle1.58E+0919.5%3.00E+093.49%4.74E+180.681%0.333
Humans8.09E+09100%8.60E+10100%6.96E+20100%0.885
Hens8.44E+091.042.21E+080.257%1.87E+180.268%-1.69
Broilers1.88E+102.322.21E+080.257%4.15E+180.596%-2.27
Farmed BSF larvae and mealworms3.82E+104.721.12E+041.30E-074.26E+146.12E-07-0.25
Wild birds5.00E+106.184.83E+085.62E-032.42E+193.47%0.333
Farmed finfishes2.23E+1127.61.00E+070.0116%2.23E+180.321%-5.38
Farmed shrimps2.30E+1128.48.60E+041.00E-061.98E+160.00284%-8.77
Wild mammals3.16E+1139.12.00E+080.233%6.32E+199.09%0.333
Wild finfishes1.00E+151.24E+051.00E+070.0116%1.00E+2214.4-0.250
Soil ants5.00E+166.18E+062.50E+052.91E-061.25E+2218.0-0.250
Soil termites1.00E+171.24E+071.00E+051.16E-061.00E+2214.4-0.250
Soil springtails3.17E+183.91E+086.00E+036.98E-081.90E+2227.3-0.250
Soil mites6.33E+187.83E+082.75E+033.20E-081.74E+2225.0-0.250
Soil nematodes4.89E+206.04E+102402.79E-091.17E+23169-0.250

Welfare range

Welfare per animal-year

Annual welfare

Among the following 4 groups, i) humans, ii) cattle, hens, broilers, and farmed BSF larvae and mealworms, finfishes, and shrimps, iii) wild birds, mammals, and finfishes, and iv) soil ants, termites, springtails, mites, and nematodes, I estimate the soil animals have the largest absolute value of the annual welfare for an exponent of the number of neurons up to 1.24, and humans for an exponent of at least 1.25. This suggests focussing on increasing the welfare of soil animals or humans.

Key numbers

Below are the results for each animal population.

AnimalsTotal number of neuronsTotal number of neurons as a fraction of that of humansWelfare for an exponent of the number of neurons of 0.19 (QALY/year)Welfare for an exponent of the number of neurons of 0.19 as a fraction of that of humansWelfare for an exponent of the number of neurons of 0.5 (QALY/year)Welfare for an exponent of the number of neurons of 0.5 as a fraction of that of humans
Cattle4.74E+180.681%2.78E+083.89%9.84E+071.37%
Humans6.96E+20100%7.16E+09100%7.16E+09100%
Hens1.87E+180.268%-4.59E+09-64.2%-7.23E+08-10.1%
Broilers4.15E+180.596%-1.37E+10-1.92-2.16E+09-30.2%
Farmed BSF larvae and mealworms4.26E+146.12E-07-4.69E+08-6.55%-3.44E+06-0.0480%
Wild birds2.42E+193.47%6.23E+0987.0%1.25E+0917.4%
Farmed finfishes2.23E+180.321%-2.14E+11-29.9-1.29E+10-1.81
Farmed shrimps1.98E+160.00284%-1.46E+11-20.4-2.02E+09-28.2%
Wild mammals6.32E+199.09%3.33E+104.655.08E+0971.0%
Wild finfishes1.00E+2214.4-4.47E+13-6.24E+03-2.70E+12-377
Soil ants1.25E+2218.0-1.11E+15-1.55E+05-2.13E+13-2.98E+03
Soil termites1.00E+2214.4-1.86E+15-2.60E+05-2.70E+13-3.77E+03
Soil springtails1.90E+2227.3-3.46E+16-4.83E+06-2.09E+14-2.92E+04
Soil mites1.74E+2225.0-5.96E+16-8.33E+06-2.83E+14-3.95E+04
Soil nematodes1.17E+23169-2.90E+18-4.05E+08-6.46E+15-9.02E+05

I calculate:

My results suggest prioritising increasing the welfare of soil animals. Yet, what matters is increasing welfare as much as possible per $, and this need not imply prioritising increasing the welfare of the animals accounting for the vast majority of total welfare in absolute terms. However, I analysed the cost-effectiveness of interventions targeting humans and farmed animals accounting for soil animals, and concluded the most cost-effective ways of saving human lives increase animal welfare much more cost-effectively than interventions targeting farmed animals for any exponent of the number of neurons. I continue to recommend funding HIPF, which I estimate decreases 5.07 billion soil-animal-years per $. I recommend even more investigating whether soil nematodes have positive or negative lives.

Acknowledgements

Thanks to Damin Curtis for a chat which contributed towards my publishing this post, to Kevin Xia for suggesting a new title, and adding more groups of wild animals, and to Yuval Rosenberg for sharing an estimate for the number of soil termites. I listed people’s names alphabetically. The views expressed in the post are my own.


Damin Curtis🔹 @ 2025-10-15T15:09 (+3)

Thank you so much for the acknowledgement, Vasco! As you know, I'm a huge fan of your work, so it's great to know our chats have been productive for you. 🤗

Vasco Grilo🔸 @ 2025-10-15T16:11 (+2)

Thanks for the kind words, Damin!

Kestrel🔸 @ 2025-10-13T10:46 (+3)

I think that the method of calculation of the set of animals that are most important for any point within an unknown measurement of welfare is a good method to have.

I also think you've done really well in pointing out that the welfare ranges would seem to imply a capacity to experience suffering that drops off far less than the neuron count does, and that does have issues.

I suspect that there exists a belief that below a certain threshold there is no consciousness or capacity for welfare - a discontinuity - and thus animals such as nematodes are out of scope. I, at least, have no trouble saying that 1 neuron would not have capacity for welfare - that welfare capacity arises through the linkages, and not through things internal to the cell. And 302 really is quite small. I feel if you could get welfare capacity off linkages in a system of that size, we'd have found digital consciousness by now.

Vasco Grilo🔸 @ 2025-10-13T12:04 (+2)

Thanks, Kestrel.

I suspect that there exists a belief that below a certain threshold there is no consciousness or capacity for welfare - a discontinuity - and thus animals such as nematodes are out of scope.

Note many people rule out animals way more cognitively sophisticated than nematodes postulating such a discontinuity. Bryan Caplan said the graph below "nicely summarizes my [Bryan's] broader view".

huemergraph.jpg

I would not be surprised if the absolute value of the welfare per animal-year decreased much faster than exponentially with the number of neurons for a sufficiently low number of neurons. However, I assume an exponential decrease up to the number of neurons of nematodes given the large uncertainty about whether there is such a transition, and the number of neurons for which it would happen. I believe there should be some models according to which the welfare per animal-year does not abruptly go to 0, and the expected welfare per animal-year will be determine by such models.

I would say they have at least a 10 % chance of being sentient. From the article “All animals are conscious”: Shifting the null hypothesis in consciousness science by Kristin Andrews (here is a crosspost of Faunalytics' summary of it):

Given the determinate development of their nervous systems, 30-some years ago it was taken as given that C. elegans are too simple to learn. However, once researchers turned to examine learning and memory in these tiny animals, they found an incredible amount of flexible behavior and sensitivity to experience. C. elegans have short-term and long-term memory, they can learn through habituation (Rankin et al., 1990), association (Wen et al., 1997), and imprinting (Remy & Hobert, 2005). They pass associative learning tasks using a variety of sensory modalities, including taste, smell, sensitivity to temperature, and sensitivity to oxygen (Ardiel & Rankin, 2010). They also integrate information from different sensory modalities, and respond differently to different levels of intoxicating substances, “support[ing] the view that worms can associate a physiological state with a specific experience” (Rankin, 2004, p. R618). There is also behavioral evidence that C. elegans engage in motivational trade-offs. These worms will flexibly choose to head through a noxious environment to gain access to a nutritious substance when hungry enough (Ghosh et al., 2016)—though Birch and colleagues are not convinced this behavior satisfies the marker of motivational trade-offs because it appears that one reflex is merely inhibiting another (Birch et al., 2021, p. 31).

C. elegans are a model organism for the study of nociceptors, and much of what we now know about the mechanisms of nociception comes from studies on this species (Smith & Lewin, 2009). Behavioral responses to noxious stimuli are modulated by opiates, as demonstrated by a study finding that administration of morphine has a dose-dependent effect on the latency of response to heat (Pryor et al., 2007). And, perhaps surprisingly, when the nerve ring that comprises the C. elegans brain was recently mapped, researchers found that different regions of the brain support different circuits that route sensory information to another location where they are integrated, leading to action (Brittin et al., 2021).

Even if we grant the author's low confidence in nematodes' having marker five (motivational trade-offs), current science provides ample confidence that nematodes have markers one (nociceptors), two (integrated brain regions), four (responsiveness to analgesics), and seven (sophisticated associative learning). Given high confidence that nematodes have even three of these markers, the report's methodology [Birch et al. (2021)] would have us conclude that there is “substantial evidence” of sentience in nematodes.

Furthermore, the welfare of soil animals would still dominate even if all animals with fewer neurons than shrimps, which are the ones with the least neurons covered in Bob's book, had a welfare per animal-year of exactly 0. This would imply a total welfare of exactly 0 for farmed BSF larvae and mealworms, and soil springtails, mites, and nematodes. Yet, soil ants and termites would still be considered. I calculate they have 2.91 and 1.16 times as many neurons as shrimps. Below is a graph comparing the welfare of soil ants and termites with that of other animal populations. I have not set the welfare of farmed BSF and mealworms to 0, but doing this would only slightly reinforce my point.

Kestrel🔸 @ 2025-10-13T12:55 (+3)

To clarify: I think soil animals should be an area of focus. I'm unconvinced on nematodes specifically - but I think there's good arguments for assessment of the life experiences of higher-neuron soil species being a very important thing.

Vasco Grilo🔸 @ 2025-10-13T13:46 (+2)

Thanks for clarifying, Kestrel. I would be curious to know what makes you unconvinced about nematodes in light of Andrews (2024) and Becerra at al. (2023).

Vasco Grilo🔸 @ 2025-10-11T18:18 (+2)

I set the welfare range as a fraction of that of humans to “number of neurons as a fraction of that of humans”^“exponent of the number of neurons”

The results for this can be used for proxies besides the number of neurons (for example, number of neurons in the forebrain). If one thinks the welfare range as a fraction of that of humans is w = "proxy as a fraction of that of humans"^"exponent of the proxy", and that "proxy as a fraction of that of humans" = "number of neurons as a fraction of that of humans"^k, w = "number of neurons as a fraction of that of humans"^(k*"exponent of the proxy"). So the results based on the new proxy for "exponent of the proxy" would be the same as my results based on the number of neurons for "exponent of the number of neurons" = k*"exponent of the proxy".