Life expectancy

World map of life expectancy, 2005

Life expectancy is a statistical measure of the average length of survival of a living thing. It is often categorized by things like gender and geographic location. Popularly, it is most often construed to mean the life expectancy at birth for a given human population, which is the same as the expected age at death. However, technically, life expectancy means the expected time remaining to live, and it can be calculated for any age.

Life expectancy is heavily dependent on the criteria used to select the group. In countries with high infant mortality rates, the life expectancy at birth is highly sensitive to the rate of death in the first few years of life. In these cases, another measure such as life expectancy at age 5 (e₅) can be used to exclude the effects of infant mortality to reveal the effects of other causes of death.

Life expectancy over human history

Life expectancy has been increasing and converging for most of the world. Sub-Saharan Africa has recently seen a decline, partly related to the HIV epidemic.

One of the biggest jumps in life expectancy coincided with the introduction of sewers, which greatly reduced the spread of disease. In the last few centuries a strong statistical effect was caused by the near elimination of infant mortality in the Western world and elsewhere. In the United States, life expectancy at birth has increased from 47 years in 1900 to 78 years in 2004. [1]

Average life expectancy before the "health transition" of the modern era is thought to have varied between about 20 years and 35 years. It has been suggested that life expectancy fell with the introduction of plant and animal domestication because of:

• higher infection rates caused by the increase in human settlement size and density,
• poorer nutrition due to low dietary variety.

Life expectancy recovered somewhat in the Iron Age but it is only in recent centuries that it has dramatically increased. These changes are the result of a combination of factors including nutrition and public health, and medicine only marginally. The most important single factor in the increase is the reduction in death in infancy. The greatest improvements have been made in the richest parts of the world.

Life expectancy increased dramatically in the 20th century, especially in developed nations. Life expectancy at birth in the United States in 1901 was 49 years. At the end of the century it was 77 years, an increase of 57%. Similar gains have been seen throughout the world. Life expectancy in China was around 35 years in 1950. At century's close it had risen to around 71 years. Life expectancy in India at midcentury was around 32, by 2000 it had risen to 64 years.

Life expectancy from birth tends to exaggerate growth, however. Low pre-modern life expectancy is distorted by extremely high infant and childhood mortality. If a person did make it to the age of forty they had an average of another twenty years to live. Improvements in sanitation, public health, and nutrition have mainly increased the numbers of people living beyond childhood, with less effect on overall average lifetimes.

The major exception to this general pattern of improvement has been in countries worst hit by AIDS, principally in Sub-Saharan Africa, which have seen significant falls in life expectancy due to the disease. Another exception is Russia and some other former USSR republics after the collapse of the Soviet Union - in 1999 life expectancy of men dropped to 59.9 years (below the official retirement age), of women to 72.43 years.

In recent years, obesity-related diseases have become a major public health issue in many countries. The prevalence of obesity is thought to have reduced the potential for longer life expectancy by contributing to the rise of cancers, heart disease and diabetes in the developed world.

Throughout human history most increases in life expectancy arose from preventing early deaths. However, some people believe this trend will not continue, as medical advancements aimed at better monitoring day to day, medically significant test values, and simple intervention such as blood pressure and clotting level control, will prevent many sudden deaths or strokes. Some people predict that half of the North American and Japanese babies born since 2000 will live to 90, and 10% to 100.

Timeline for humans

Homo sapiens live on average 32.6 years in Swaziland and on average 81 years in Japan. The oldest confirmed recorded age for any human is 122 years, though some people are reported to have lived longer. The following information is derived from the Encyclopaedia Britannica, 1961, as well as other sources:

Humans by Era	Average Lifespan (years)	Comment
Neanderthal	20	Homo neanderthalensis is actually a different species from modern humans but is still in any case a fellow member of the genus homo.
Upper Paleolithic	33	At age 15: 54
Neolithic	20
Bronze Age	18
Classical Greece	28
Classical Rome	28
Medieval Britain	33
End of 19th Century Western Europe	37
Current world average	66
Present Day Native Groups	34	At birth: 34 At age 15: 54 At age 50: 67

These represent the life expectancies of the population as a whole. In many instances life expectancy varied considerably according to class and gender. All statistics include infant mortality, but not miscarriage or abortion. The sharp drop in life expectancy with the advent of the Neolithic mirrors the evidence that the advent of agriculture, actually marked a sharp drop in life expectancy that humans are only recovering from in affluent nations today.

Variations in life expectancy in the world today

There are great variations in life expectancy worldwide, mostly caused by differences in public health, medicine and nutrition from country to country.

There are also variations between groups within single countries. For example, in the United States during the early 20th century there were large differences in life expectancy between people of different ethnicity, which have since lessened. Significant differences still remain in life expectancy between men and women in the US and other developed countries, with women outliving men. These gender differences have been lessening in recent years, with men's life expectancy improving at a faster rate than women's. Poverty has a very substantial effect on life expectancy. In the United Kingdom life expectancy in the wealthiest areas is ten years longer than the poorest areas and the gap appears to be increasing as life expectancy for the prosperous continues to increase while in more deprived communities there is little increase.

Life expectancy may also be reduced for people exposed to high levels of highway air pollution or industrial air pollution. Occupation may also have a major effect on life expectancy. Well-educated professionals working in offices have a high life expectancy, while coal miners (and in prior generations, asbestos cutters) do not. Other factors affecting an individual's life expectancy are genetic disorders, obesity, access to health care, diet, exercise, tobacco smoking, and excessive drug and alcohol use.

As pointed out above, AIDS has recently had a negative effect on life expectancy in Sub-Saharan Africa.

Evolution and aging rate

The different lifespans of different plants and animals, including humans raises the question of why such lifespans are found.

The evolutionary theory is that organisms that are able by virtue of their defenses or lifestyle to live for long periods whilst avoiding accidents, disease, predation etc. are likely to have genes that code for slow aging- good repair.

This is so because if a change to the organism (for example a bird might evolve stronger wings) may mean that it is exceptionally capable of escaping from predation, then it will live longer, and typically die of old age. It will also be more likely to survive to reproduce, so these genes will spread through the gene pool. Thus, a member of the population with the better wings who by chance also has genes that code for better repair will spend a longer time as its contemporaries in the best reproductive years and have more successors. Its genes will tend to dominate more and more of the gene pool and genes for slower aging and by a similar argument a slower reproduction rate, will dominate.

Conversely a change to the environment that means that organisms die younger from a common disease or a new threat from a predator will mean that organisms that have genes that code for putting more energy into reproduction than repair will do better.

The support for this theory includes the fact that better defended animals, for example small birds that can fly away from danger live for a decade or more whereas mice which cannot, die of old age in a year or two. Tortoises and turtles are very well defended indeed and can live for over a hundred years. A classic study comparing opossums on a protected island with protected opossums also supports this theory.

But there are also counterexamples, suggesting that there is more to the story. Guppies in predator-free habitats evolve shorter life spans than nearby populations of guppies where predators exact a large toll. A broad survey of mammals indicates many more exceptions. Theory of evolution of ageing may be in flux.

Calculating life expectancy

The starting point for calculating life expectancies is the age-specific death rates of the population members. For example, if 10% of a group of people alive at their 90th birthday die before their 91st birthday, then the age-specific death rate at age 90 would be 10%.

These values are then used to calculate a life table, from which one can calculate the probability of surviving to each age. In actuarial notation the probability of surviving from age x to age x+n is denoted $\,_{n}p_{x}\!$ and the probability of dying during age x (i.e. between ages x and x+1) is denoted $q_{x}\!$.

The life expectancy at age x, denoted $\,e_{x}\!$, is then calculated by adding up the probabilities to survive to every age. This is the expected number of complete years lived (one may think of it as the number of birthdays they celebrate).

$e_{x}=\sum _{t=1}^{\infty }\,_{t}p_{x}=\sum _{t=0}^{\infty }t\,_{t}p_{x}q_{x+t}$

Because age is rounded down to the last birthday, on average people live half a year beyond their final birthday, so half a year is added to the life expectancy to calculate the full life expectancy.

Life expectancy is by definition an arithmetic mean. It can be calculated also by integrating the survival curve from ages 0 to infinite (the ultimate age, sometimes called 'omega'). For an extinct cohort (all people born in year 1850, for example), of course, it can simply be calculated by averaging the ages at death.

Note that no allowance has been made in this calculation for expected changes in life expectancy in the future. Usually when life expectancy figures are quoted, they have been calculated like this with no allowance for expected future changes. This means that quoted life expectancy figures are not generally appropriate for calculating how long any given individual of a particular age is expected to live, as they effectively assume that current death rates will be "frozen" and not change in the future. Instead, life expectancy figures can be thought of as a useful statistic to summarize the current health status of a population. Some models do exist to account for the evolution of mortality (e.g., the Lee-Carter model).

Interpreting life expectancy

Useful information can be gleaned from life expectancy at ages other than 0 as medical technology changes over time. For example, in the United States the life expectancy at birth over the past 100 years has increased by over 50%. However, the life expectancy for 60 year old persons has only increased 10%. This means that the improvements in medical technology have done much to decrease mortality among the young, but relatively little to help the elderly. In other words, although the odds of living to old age have increased, the maximum probable lifespan has not changed dramatically.

The age-adjusted statistics help to show the limits of health technology as well. It has been suggested that there is a maximum human life span of around 125 years -- not even by chance has anyone been documented to live longer than that. In other words, even if a person never dies of disease, accident or violence, we can expect them to die of "old age" by that time.

Typically, the expected age at death (i.e. age x + life expectancy at age x) of an individual of age X is greater than the life expectancy at birth for the population as a whole. For example, in a population with a life expectancy of 75 years, a 20-year-old might be expected to live to her or his mid-80s. But it is theoretically possible that there could be an inversion of life-expectancy between the old and the young if there were sufficiently dramatic medical advances. For example, some diseases such as shingles occur during old age, but are caused at a young age. If shingles were a leading cause of death, we could imagine that the chicken pox vaccine would so much increase their life expectancy, that they would likely out-live their elders. Another example would be where in some places like southern Africa the incidence of HIV is so high among the adult population, that a new, effective and widely-distributed vaccine might increase life expectancy of a Lesotho 11-year old (who would benefit from the vaccine and never get HIV disease) to be higher than the life expectancy of a Lesotho 21-year old (who might have a 50% chance of dying soon of AIDS and cannot be helped by the vaccine)..

See also

• Morbidity
• Mortality
• Demography
• Economics
• Indefinite lifespan
• List of countries by life expectancy
• Maximum life span
• Senescence

Increasing life expectancy

• Engineered negligible senescence
• John Sperling
• Life extension
• Longevity
• Rejuvenation

Further reading

• Leonid A. Gavrilov & Natalia S. Gavrilova (1991), The Biology of Life Span: A Quantitative Approach. New York: Harwood Academic Publisher, ISBN 3-7186-4983-7

External links

• Calculate your life expectancy online (based on the Austrian generation and annuity valuation life tables)
• Life Extension Foundation
• The Science of Aging
• Rank Order - Life expectancy at birth from the CIA's World Factbook.
• CDC year-by-year life expectancy figures for USA from the USA Centers for Disease Controls and Prevention, National Center for Health Statistics.
• Map of life expectancy around the world from the World Policy Institute.
• Life expectancy in Roman times from the University of Texas.
• The changing influence of sex and race on life expectancy in the US from Western Washington University.
• Database of life expectancy from multiple countries from The human Mortality Database.
• Animal lifespans: Animal Lifespans from Tesarta Online,The Life Span of Animals from Dr Bob's All Creatures Site.
• Life expectancy among the countries in the European Union (2007)