INTRODUCTION
I recently got sparked by both Eliezer's post on Cryonics(http://lesswrong.com/lw/qx/timeless_identity/) and lsparrish's post on the economies of scale(http://lesswrong.com/lw/2f5/cryonics_wants_to_be_big/) that go in to cryonics, to do some actual research. Unfortunately, while both authors are happy to assert that there are "economies of scale" at work, there doesn't seem to actually be any published research on the matter. If I happen to be wrong, and someone else has more accurate numbers, I'll be pleasantly surprised to see myself corrected :)
Alcor Costs as of 1990 (http://www.alcor.org/Library/html/CostOfCryonicsTables.txt) seems like a reasonably reliable source of information. I'll be using them primarily because they were the only institute I could find that actually provides a break-down of their costs. The accompany article(http://www.alcor.org/Library/html/CostOfCryonics.html) suggests that the labor rates and equipment markups are actually excessively optimistic, but it gives a simple cost of $18,908.76 for neurosuspension (not whole body). Maintenance costs are given as $66.08 annually, which would require a $6600 investment to yield suitable interest. Call it $25K total.
Now, figuring out how economies of scale will affect this is tricky. I'll go ahead and run two estimates, but they're both reasonably crude. I'm trying to be optimistic in my math, because my starting premise is "cryonics is not financially viable, even with economies of scale", and I don't want my numbers to favour my starting hypothesis. It's also worth noting that I am assuming that the major cryonics facilities are already taking advantage of some economies of scale: it is quite true that one can get a 90% discount on liquid nitrogen, if you start at the price that someone would pay for a liter for personal usage; it is far less likely that a business that already dropped it's prices from $0.50/L to $0.13/L [1] can still claim a 90% savings by sufficient economies of scale.
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METHOD 1
The actual cost of the chemicals and equipment won't scale dramatically - you can't get a 90% discount just because you're huge, unless the company is making a 10x profit off the item normally. A 50% reduction due to bulk savings is therefor a reasonably optimistic assumption.
Transportation is going to remain an issue, although certainly as this becomes more "main stream", you could imagine hospitals having a cryogenics ward and thus only having transportation when someone dies outside a hospital. A quick peruse of Google says ~50% of deaths occur in a hospital, so we can cut transportation costs in half right there. Obviously, transportation costs will also drop as there are more facilities, because distances decrease. However, it's also worth noting that, should we want this to be a truly universal option, transportation costs will rise to include transportation of people who do not live near major urban centers. We should also be able to claim economies of scale on the financial cost of vehicles and equipment. That probably works out about the same as equipment, so another 50% off; we gain a 75% economy of scale on transportation.
Labor is an interesting point: Alcor points out that their labor rates are generally 2-3 times less than you'd expect mainstream, and they use a lot of volunteers. It appears that the Cryonics Institute also has a large volunteer staff. Unless society radically changes, a reliance on volunteer labor is probably not a fair assumption as things scale up. However, we actually get the most powerful economies of scale here, because we're no longer looking at 48-80 hours of standby per person. You'll need a sufficient staff to handle catastrophes quickly (plane crashes, etc.), and thus some degree of standby is still essential for prompt responses. If we reduce standby from 48 hours down to 2 hours, then multiplying costs by 3 to bring pay up to market rates, we get a total savings of 87.5%!
Based on the summarized charges, it looks like the charges break down as approximately:
Transportation: $9,000
Equipment: $4,000
Labor: $15,000
Which, with these new adjustments:
Equipment (50% of original cost): $2,000
Transportation (25% of original cost): $2,250
Labor (12.5% of original cost): $1,875
That gives us a net total of $6,125, before maintenance fees are taken in to account.
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METHOD 2
Alternately, we could extrapolate economies of scale based on observed data. The UK has centralized health care and spends $3,000 per capita on health care. The US is decentralized, and spends $7,500 per capita. So we have reason to assume that medical costs specifically can be cut down to 40% simply based on economies of scale.
Another approximation often used for hospitals is that there is a 10% increase in hospital productivity per doubling in size. Alcor currently has 100 patients. Scaling up to 150,000 is ~17 doublings or, being generous, a tripling of productivity, so cutting costs to ~33%. The two figures are reasonably close, so we'll go with the more favourable 33%.
Given an adjusted grand total of $18,908.76 (this excludes the remote charges and nursing fees), and taking only 33% of the cost yields about $6K. Once again, this figure ignores maintenance fees.
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FINAL COSTS
Either way you do the math (and I'm quite welcome to being told I've been vastly pessimistic, if there's some supporting evidence I've missed in my searches), the final cost per person for cryonics is probably around $6K for the suspension.
Storage costs are another matter, and we will simply assume that storage is magically free, as I am attempting to be optimistic, and storage is probably going to realize the greatest economies of scale. It is worth noting that storage is only approximately 25% of the current expense! Alcor requires an additional $6600 fund and uses the interest from that to pay maintenance costs. CI cites maintenance costs that are 50% higher ($100 vs $66), and thus would presumably require a $10,000 fund. This is against an expense of $18K and $28K for each respective organization.
We thus have a final figure of $6K per person.
If you still think this is an overly pessimistic figure, keep in mind that the current market rate is $80,000 via Alcor, and Alcor's discussion of costs(http://www.alcor.org/Library/html/CostOfCryonics.html) explains a lot of why this is a really quite expensive service. The Cryonics Institute(http://www.cryonics.org/comparisons.html#Prices) charges $88,000 for a complete package (suspension, standby, and transport). Our $6,000 per person figure is a 90% savings due to economies of scale - which, except for the noted quirk of labor charges, is an exceedingly optimistic economy of scale for any enterprise to aim for!
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CONCLUSIONS
The fundamental point here is that economies of scale only take us so far: We still need to pay professionals to do their job, we still need a vast amount amount of equipment and supplies to actually perform the operation, and we still want to attempt vitrification as soon after death as possible. While the actual storage of a human body might come cheaply (I have seen figures of $100/year for CI's whole-body option, and $66/year for Alcor's neuro-only option), even if we discount this to free, we are only managing a 25% savings; as Alcor's numbers demonstrate, storage is a relatively trivial if you assume an investment fund with a mere 2% return. Even the space requirements are modest; maybe 4 buildings the size of the empire state building each year.
The true expense of cryonics is getting someone vitrified, and doing it in a timely manner.
At present, approximately 150,000 people die per day, or 54,750,000 per year. At our optimistic rates of $6K per person, we are looking at a sum expense of $328,500,000,000 ($328 billion). This is approximately half of the US defense budget ($663.8 billion) and approximately 0.56% of the world GDP (58.26 Trillion)
In an ideal, rationalist world, is this a viable figure? Certainly.
In our actual world, with our actual politics, does this even vaguely approach a rational goal to shoot for today? It seems unlikely.
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[1] http://cryonics.org/cryostats.html - About halfway down the page; the search term "Prior to getting the bulk liquid nitrogen" will locate the relevant paragraph.
All other sources are marked via in-line links
I'd say the most reasonable figure to use for that estimate would be current market rates. I can concoct scenarios where the price goes up, but none of them strike me as particularly plausible. And, of course, a hypothetical worst case will quickly wind up with "it's impossible to do cryopreservation on that scale."
For a more reasonable bad-case, I would assume that a prompt cryopreservation is essential, that the whole body must be preserved for revival to be possible, and that legal issues prevent any form of cryopreservation before a legally pronounced death. As such, it's essential to retain the current ridiculous amounts of standby labor that goes in to modern pricing - otherwise thousands of lives are lost any time the system gets flooded by a disaster, and anyone who dies outside an urban area is just plain out of luck.
Furthermore, Alcor and CI rely heavily on volunteer labor, often paid well below market rates. Let's assume that even though medical equipment is tightly regulated and has a lot of expenses related to testing and certification, there's still some economies of scale that cryopreservation benefits from. I'd say that even in a bad-case scenario, it's unlikely (but not impossible!) for this to offset the increased labor charges.
The current market rate for CI is $88K if you want standby and transportation services. Alcor charges $200K for the same service. Call it maybe $100K per person.
$100K 150,000 people/day 365 days/year = $5,475,000,000,000 (~5.5 trillion), or about 10% of the world GDP.
If we instead use Alcor's current market rate of $200K per person, you're looking at 20% of the world GDP instead.
Honestly, probably one of the worst-but-plausible cases is simply "cryopreservation continues to require legal declaration of death", since then you never reap the reduction in other medical expenses - if you can cryo-preserve the terminally ill and those who are wasting away, you get some huge societal reductions in medical costs to offset these expenses.
I'd also consider it likely that, no matter what, funeral costs will be vastly lower, which will probably save you a decent chunk of the cost of cryopreservation in wealthier countries. The US spent $15 billion on funerals, but I don't know how well this maps to the rest of the world. I think one could probably reasonably assume at least $100 billion in savings, as it's fairly cheap to throw a cryo-preservation party compared to a funeral or cremation. When you're looking at $5,500 billion, this is not a terribly significant savings, alas :)
In the interests of avoiding the planning fallacy, we could probably think of some reasons to go a bit bigger.
For example, it might be that more expensive yet more effective procedures are developed that cannot in good conscience be left out (due in turn to advances in what we know about biology, i.e. that today's cryonics is worthless). In that event we might envision the cost as reasonably expanding it to say $500k per person, or around 50% of the GDP.
Do we know any ways to increase the world's GDP by 50%?