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Explore the exponential growth of world population, its effects on climate change, environment, and society. Learn about rates of expansion, doubling times, and population milestones. Discover the challenges and solutions to sustainably manage increasing populations.
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World population and its effects, especially global warming • Human population expansion • • How many is too many? • • The effects of increased populations – “human ecology” • Climate change and global warming • • The causes and the evidence • • Effects on the environment – droughts, floods • • Biological effects on plants and animals • • Effects on humans – sea level rise, water supply, fires, diseases • • More effects on humans – agriculture, migrations, wars and territorial conflicts • • Societal responses to climate change – limits and adaptation
Human population expansion • Suggested reading in Minkoff and Baker • pp 282-295, 319-321. • The present situation: • On April 8, 2008 the current world population was estimated to be just over 6.8 billion • (US Census Bureau World POPClock; http://www.ibiblio.org/lunarbin/worldpop) • How did we get here?
industrial phase agricultural phase For early years, it’s easier to see changes in growth rate on a semilog plot.
Focusing on just the last few decades shows the recent increases more clearly. We are adding another billion people about every 13 years!
The current population is unprecedented but just looking at the overall numbers can be misleading. There is a tremendous variation in density. In 1989 there were 5.2 billion people and about 13 billion hectares was inhabited, for an average of 0.4 persons/hectare (or 40 per sq. km., or 104 per sq. mile) Vietnam had about 2/hectare, Belgium 3/hectare. About 4 billion (2/3) lived at <2/hectare. Even these country averages are misleading, however, since there are large differences in density within countries. For example, some US cities have high densities, but we have great deserts and mountains that are uninhabited. There has been a major migration into cities. In 1800 1/50 lived in cities, and now more than 1/2 live in cities. The increase in city dwellers is twenty times greater than the increase in total population.
Measuring the growth rate of populations • Rates are expressed as a fractional change per year in the population size. The important variables are: • B = new births/N • D = deaths/N • I = new immigrants entering the population/N • M = emigrants leaving the population/N • N = total population size. • Then, B x N = the actual number of new births, etc. The change in a population/yr = N(B-D+I-M) . The four variables (B-D+I-M) can be combined to give the total rate, “r”. • If r remains the same from year to year, then the change in population size in any given time interval is: • dN/dT = rN. • This gives an exponential (geometric) increase in population with time and can also be expressed as • N = N0erT
N = N0erT • This equation makes it easy to calculate a doubling time. • doubling time = 0.69/r • The world now has an overall growth rate ( r) of ~ 1.6%, so we’d predict that it would take about 43 years to double to 12 billion. • However for human populations r is not a constant. • For example, if Adam and Eve and all their descendants had increased at that rate, Adam and Eve would have started things only 1370 years ago. • Or to put it another way, if humans had increased at that rate (from a start of 2) since the end of the ice age 12,000 years ago, there would now be 5.3 x 1082 persons, a number greater than the number of particles in the universe!
The rate of growth, r, is not a constant for human populations . • During early parts of our population growth, r was low. More recently, as agriculture flourished and particularly when the industrial revolution took off in the 1800s, r has grown dramatically. Thus the final part of the curve is much steeper than a simple exponential.
Milestones The following table shows estimates of when each billion milestone was or will be met: These numbers show that the world's population has tripled in 72 years, and doubled in 38 years up to the year 1999.
Doubling times show the same trend. These two tables use the same underlying population data but start at different times. Note how, during the 2nd millennium, each doubling has taken roughly half as long as the previous doubling.
The growth rate peaked in 1963 and has been declining since. The sharp drop in 1960 corresponds to the Great Leap Forward in China and related crop failures.
Despite the declines in rate since 1963, the number of people added to the population each year continued to increase until 1990. This demographic momentum results when more people reach child bearing age . Population pyramids help to illustrate this principle.
A population pyramid shows the age distribution in a population. It is two back-to-back bar graphs, with the population plotted on the X-axis and age on the Y-axis. By convention, the number of males is shown on the left, females on the right in five-year age groups. Population pyramids illustrate a lot about birth and death rates, and they suggest how the future population will be distributed. Notice that typically there are more females than males in the older age groups, due to females' longer life expectancy.
A typical example of a high birth rate and high death rate pyramid. Life expectancy is low.
China’s pyramid shows the results of the single child policy.
The US pyramid shows the results of the baby boom (1946-66) and maybe the “baby bounce” 25-30 years later
Obviously populations cannot continue to grow at this rate, or even at a reduced but still exponential rate. At some point the resources of the globe will be exhausted.
In experimental situations, populations reach a maximum as resources (food supply, energy input, etc.) are exhausted and waste products accumulate. The equation describing this kind of growth is called the logistic equation. The new parameter introduced here is the carrying capacity, K, or plateau value. dN/dT = rN(K - N)/K