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- From: kqb@cbnewsl.cb.att.com (kevin.q.brown)
- Subject: Misadventure as a Cause of Death
- Organization: AT&T Bell Laboratories
- Date: Tue, 21 Jul 1992 23:34:19 GMT
- Message-ID: <1992Jul21.233419.14172@cbnewsl.cb.att.com>
- Lines: 189
-
- > From: alcor@cup.portal.com
- > Message-Subject: Misadventure
- > Date: Mon, 20 Jul 92 00:43:10 PDT
-
- Misadventure As A Cause Of Death In An Immortal Population
- by Hugh Hixon
-
- Reprinted from *Cryonics* magazine, May, 1988.
-
- A year or two ago, I got hold of a galley proof for an article in
- *Longevity*, the life extension oriented newsletter put out by *Omni*. The
- piece was kind of a short overview of the quest for immortality and was
- apparently intended to appear in *Penthouse*, *Omni's* parent magazine. What
- caught my eye was the last paragraph:
-
- "Among the visionaries are those who talk of achieving immortality.
- But eliminating death doesn't seem very likely. After all, with a
- five percent probability for accidents, the longest we could hope to
- live -- even absent disease and decrepitude -- would be 600 years."
-
- *Not* true! In fact, on close inspection, about all you can get from
- this statement is that there is a crisis in science education among
- journalists.
-
- Among other things, this seems to invoke some Cosmic Accountant who
- comes along and zeros out everyone celebrating their 600th birthday, an
- absurd thought. And as to how the calculation was made in the first
- place, I can't even guess.*
- -----------------------
- *An estimate of 700 years is made by Dr. Alex Comfort in his *The Process
- of Aging*, (New American Library, New York, 1964):
-
- "If we could stay as vigorous as we are at 12, it would take about
- 700 years for one-half of us to die, and another 700 years for the
- survivors to be reduced by one-half again."
-
- Dr. Comfort does not show how he arrived at this figure. The death rate
- (1981, *all* causes) for the 10-14 year age group is 29.6 per 100,000 per
- year. This rate does not yield Dr. Comfort's result (see below to make
- calculation). He would have had to use pre-1964 statistical figures that
- may include much higher childhood disease mortality.
- ------------------------
-
- It does raise an interesting question, though. How long *can* we
- expect to live? As it turns out, this is not a difficult question to
- answer, in a statistical sense. We can use current mortality tables to
- supply real-world numbers. Arguably, our life-styles will change in the
- future, but it seems reasonable that our lives should not be *more*
- hazardous than they now are.
-
- First, the math. Given that you are part of a fixed group, say,
- everyone born in 1942, the death rate is normally expressed as deaths per
- 100,000 population per year. If the death rate does not vary with age
- (actually, it does, but one of the goals of immortalists is to eliminate
- aging; and besides, it's not relevant to this example), the death rate
- from some cause is, say, 500 per 100,000 population per year, and the
- population size is 100,000, then in the first year of the example, about
- 500 people will die. The next year, the population is 99,500, and 498
- will die, etc. 139 years in the future, half the population will still be
- alive, and of those, 250 will die in that year. In 276 years, one-fourth
- the population will still be alive, and in that year, 125 will die. In
- 459 years, one-tenth will still be alive, and in that year, about 50 will
- die. Et cetera. It should be obvious from this example that it will be a
- long time before the last person in the group dies. The probability of it
- being you is, of course, one in 100,000. The proper mathematical
- expression is an exponential decay curve, which has the form,
-
- (1 - R[d])exp(t) = N
-
- where:
- N = the fraction of the original group still alive
- t = time in years
- R[d] = death rate per year, expressed as a fraction
-
- To conform with established convention, I will set N = 0.5, and find
- the time *t* at which one-half the population is still alive. This is
- commonly referred to as the *half-life* (t[1/2]) of the population. The
- concept of a half-life is used very commonly as a simple measure of
- exponential decrease. Perhaps the measure seen most often is that of
- radioactive decay, where one refers to the half-life of radioactive
- isotopes. Please note that the concept of half-life is independent of the
- number of people, atoms, etc., in the sample. Whether one is working with
- a group of ten people or a million, all other things being equal, both
- groups have the same half-life. The only differences are that the random
- nature of statistics will make the decrease of the smaller group
- proportionally much more irregular, and that it is much easier to
- determine accurately the half-life of a large group.*
- ---------------------------
- * For other fractions of the population, use the following conversion
- table with the half-life values:
-
- For a remaining population of: 90% 70% 50% 30% 10% 1%
- ------------------------------------------
- Multiply the half-life time by:0.1520 0.5416 1.0000 1.737 3.322 6.644
- ---------------------------
-
- To do the actual arithmetic, even with a scientific calculator it is
- easier if the expression is changed to the form,
-
- t[1/2] ln (1 - R[d]) = ln 0.5
-
- or,
- t[1/2] = (ln 0.5)/ln (1 - R[d]) = -ln 2/- R[d]
-
- since
- ln (1 - R[d]) = -R[d], as R[d] approaches zero
-
- thus,
- t[1/2] = 0.693147.../(r[d]/100,000) = 69315/r[d]
-
- where r[d] is the death rate per 100,000 population per year, which is the
- normal mode of expression for the mortality tables I will use.
-
- We are now ready to crunch some numbers.
-
- For the year 1981 (Why 1981? -- because I could get tables for it),
- from *Vital Statistics of the United States**, the tables are listed by
- cause of mortality, and by age group in five year blocks. I assume that
- our conquest of disease will be total, leaving only accidents, suicides,
- and homicides as causes of death. I further assume that suicide is a
- treatable disease process, and eliminate that as a cause of death.
- --------------------------
- * National Center for Health Statistics: *Vital Statistics of the United
- States, 1981* Vol. II, Mortality, Part A. U.S. Department of Heath and
- Human Services (DHHS) Pub. No. (PHS) 86-1101. Public Health Service,
- Washington. U.S. Government Printing Office, 1986.
- --------------------------
-
- Death rate varies with age. The two major factors seem to be
- experience and infirmity. The older we get, the more experienced we are
- at avoiding accidents; and the older we get, the slower we get at avoiding
- accidents. The curve bottoms out at the 40-44 year age group. I will
- also use that age group for the homicide figures, even though the minimum
- is in the 70-74 year age group, on the grounds that at that age, who's
- *doing* anything that would make it worthwhile to kill them. I also ignore
- the lower death rates for children and teenagers. They're not out in the
- real world, yet, and besides which, we're only *that* young once. And the
- number is, . . . 41.9 deaths per 100,000 in the white population (64.9 for
- males, 19.5 for females. I do not wish to predict the future distribution
- of women into more hazardous occupations, or the appearance or
- disappearance of more or less hazardous occupations). Which gives us a
- *half-life* for our population of 1654 years.
-
- So much for a maximum life span of 600 years!
-
- But this figure is based on *current* mortality. Let's consider the
- impact of future medical technology (including nanotechnology) and squeeze
- the figures a bit. A population half-life of 1654 years is for our
- current resuscitation technology (actually, for 1981), whether the
- accident occurs in the emergency room of a major metropolitan trauma
- center, or in the most inaccessible portion of Alaska's Brooks Range. If,
- as at least one space satellite company proposes, a person can be located
- anywhere in the world with an accuracy of about 12 feet, with a cigarette-
- pack sized transmitter, and if everybody is equipped with vital-function
- monitors, about the only people who will slip through the net are those
- with truly massive head trauma. This is not a large fraction of
- accidents. In fact, a short conversation with a friend of mine who works
- in Emergency Rooms confirms that actual destruction of the structure of
- the brain is not particularly common. This leaves only serious homicides
- as a factor to consider.
-
- Estimating the rate on this kind of homicide is very difficult. I do
- not believe that, in any society with competitive forces, homicide will
- disappear. It certainly will get less common. So I will grab a figure
- out of the air, more or less, and say that the sum of truly permanent
- fatal accidents and homicides will be *one* per 100,000 population per year
- (the aggregate figure (male and female) for white homicides is 8.9 in the
- 40-44 year age block.). This gives a population half-life of *69,315*
- years. However, anyone who quotes this figure without including a
- statement of its very speculative nature is on their own.
-
- So much for the good news. The bad news is that we are still in a
- time where most people die as a result of disease processes. The
- calculations I have made here obviously apply to a benign future that
- (along with cryonics) may never come to pass.
-
- It *is* possible, however, to exert some choice. A close examination
- of the causes of death in whatever population you may find yourself may
- allow you to take actions that will isolate you somewhat from the sources
- of risk (*thus placing you in a subgroup with a longer half-life!*) while
- still allowing you to enjoy life. You can never get away from statistics,
- but as a thinking being, you can often choose which set of statistics will
- apply to you. Thus cryonics.
-
- Finally, it should be pointed out that whatever death rate may apply
- to you, your chances of dying either last *or first* are equal, and equally
- unsatisfactory.
-
- Y'all be careful, hear?
-