Population Growth + Diminishing
Returns = Starvation
The law of diminishing returns
has potentially cataclysmic implications for the future populations of the
world. If the population of the world grows rapidly, then food output may not
keep pace with it. There will be diminishing returns to labor as more and
more people crowd on to the limited amount of land available.
This is already a problem in
some of the poorest countries of the world, especially in sub-Saharan
The relationship between
population and food output was analyzed as long ago as 1798 by the Reverend
Thomas Malthus (1766-1834) in his 'Essay on the Principle of Population' .
This book was a bestseller and made Robert Malthus perhaps the best known of
all social scientists of his day.
Malthus argued as follows:
I say that the power of population is indefinitely greater than the
power in the earth to produce subsistence for man.
Population when unchecked, increases in a geometrical ratio.
Subsistence increases only in an arithmetical ratio. A slight acquaintance
with numbers will show the immensity of the first power in comparison with
the second.
What Malthus was saying is that
world population tends to double about every 25 years or so, if unchecked. It
grows geometrically, like the series: 1,2,4,8,16,32,64 etc. But food output,
because of diminishing returns, cannot keep pace with this. It is only likely
to grow at an arithmetical rate, like the series: 1, 2,3,4,5,6,7, etc. It is clear
that population, if unchecked, will soon outstrip food supply.
So what is the on population
growth? According to Malthus it is starvation. As population grows, so food
output per head will fall until, with more and more people starving, the
death rate will rise. Only then will population growth stabilize at the rate
of growth of food output.
Have Malthus' gloomy
predictions been borne out by events?
There are two factors that have
mitigated the forces Malthus described:
·
The rate of population growth tends to slow
down as countries become more developed. Although improved health prolongs
life, this tends to be more than offset by a decline in the birth rate as
people choose to have smaller families.
·
Technological improvements in farming have
greatly increased food output per hectare.
The growth in food output has
thus exceeded the rate of population growth in advanced countries.
The picture is much more
gloomy, however, in developing countries. There have been advances in
agriculture. The 'green revolution ', whereby new high-yielding crop
varieties have been developed (especially in the case of wheat and rice), has
led to food output growth outstripping population growth in many developing
countries.
Nevertheless, the Malthusian Spectre
is very real for some of the poorest developing countries, which are simply
unable to feed their populations satisfactorily. It is these poorest
countries of the world which have some of the highest rates of population
growth.
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The law is also
known as the law of eventually diminishing returns to factors. It states that
as we go on employing more of one factor of production other factor remaining
the same, its marginal productivity will diminish after some point. For
example, if we employ more of labor, capital remaining the same, the marginal
productivity of labor will at first increase but start decreasing after
reaching a high. The shape of the marginal product curve is therefore
inverted-U.
I can be seen
that if the law holds then the total product curve will also behave in a
similar manner. It will initially be upward rising and then after some point
start sloping downwards. In the upward sloping portion it is convex to the
origin and later after reaching a peak it is concave to the origin. Then
operation of the law of diminishing returns to factors is subject to three
assumptions.
Firstly, it is
assumed that the state of technology is given.
Secondly, it is
assumed that one factor of production must always be kept constant at a given
level. Thus this law is not applicable when all the factor inputs are variable.
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