# Chapter 7 - Population, page 1 of 9

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2 Chapter 7 - Population, page 2 of 9 however, population growth slows without Malthusian checks; empirically, the opposite of what Malthus expected is observed groups with higher incomes have lower fertility rates the demographic transition: the crude birth rate is defined as the number of births per thousand people the crude death rate is defined as the number of deaths per thousand people the rate of natural increase is defined as the crude birth rate minus the crude death rate; the rate of natural increase is usually adjusted to percent terms (that is, it is adjusted to per hundred people); for example, if the birth rate is 38 per thousand and the death rate is 28 per thousand, then the rate of natural increase is (38-28)/1000 = 10/1000 = 1/100 = 1%; the rate of natural increase is the rate at which the population grows, excluding immigration and emigration as a society become richer, the death rate declines; the decline in the death tends to precede that in the birth rate page 250, figure 7-1 the birth and death rates in England and Wales from 1750 to 1950 rates per thousand birth rate death rate the vertical distance between the birth rate and the death rate is the rate of natural increase; the smaller the gap between the birth rate and the death rate, the lower the population growth rate as a country develops, the population growth rate increases; with further development, the population growth rate decreases as the birth rate approaches the death rate; this trend is illustrated in the figure above by the gap between the birth rate and death rate page 251, figure 7-2 illustrates the birth and death rates in Ceylon (Sri Lanka) from :

3 Chapter 7 - Population, page 3 of 9 rates per thousand birth rate death rate the death rate drops because of improved healthcare technology (immunizations, antibiotics, etc.) and better sanitation why does the birth rate decline after the decline in the death rate? perhaps families have an ideal family size in mind; when death rates are high, they will have more children to meet this target; for example, if the infant mortality rate is 1/3, then parents might have 3 or more children to ensure that at least one survives into adulthood to take care of the parents in old age; however, if children have a 95% chance of survival into adulthood, then the parents might have only one child as larger families become less necessary, cultural norms could still encourage people to have many children; cultural norms that encourage large families could change slowly over time the rate of natural increase in a country increases as the gap between the birth rate and the death rate grows; this could be why the population growth rate in some developing countries is so high; extrapolating to where the birth rate is about equal to the death rate suggests that the population size will stabilize close to the replacement rate there is cross-country evidence that suggests the population growth rate in a country will eventually stabilize; for instance, some European countries have a fertility rate below the replacement level there is a negative correlation between the level of income and the population growth rate in intercountry and intracountry data: the population growth rate is highest in the poorest countries; in countries with high inequality, the poorest households and the poorest regions have the highest fertility population growth decline because of greater average income per capita (and possibly because of higher levels of education) a change in the structure of the economy contributes to the decline in the birth rate because people are employed for wages instead of in subsistence agriculture or in household activities: this might especially affect women who enter the labor force; having children to care for might not impact women s household or agricultural productivity (for example, they could tie young children to their back and work); however, they cannot take care of children while in the modern sector labor force; thus, when

4 Chapter 7 - Population, page 4 of 9 women work for wages, the opportunity cost of having children increases because they must forego income additionally, the benefits of having children decrease and the cost of children increase as an economy modernizes empirical evidence for the demographic transition: page 253, table 7-1 the total fertility rate by region and GNP per capita: the total fertility rate (TFR) is defined as the number of live births expected in a woman s lifetime (the average number of children a woman bears over her lifetime), this is similar to the birth rate, but the latter is also influenced by the age structure of the population the TFR in all regions decreased from 1970 to 1997 by income group, the countries with income less than \$1000 per capita PPP have the highest fertility rate table 7-2 the rate of natural increase by region and GNP per capita: the rate of natural increase is highly correlated with the fertility rate the rate of natural increase varies from 0%in Eastern Europe and Central Asia to 2.6% in sub-saharan Africa the world rate of natural increase is 1.4% population extrapolations: all models predict the world population will stabilize in 100 to 150 years however, what the population will be and when it will stabilize are uncertain; different estimates suggest the population will stabilize between 10 billion and 15 billion an economic model of choice of family size the Becker model: this model is attributed to Gary Becker from the University of Chicago this model assumes that having children is a rational choice and analyzes the number of children a family has using economic analysis (costs and benefits of having additional children) the benefits of having additional children: 1. consumption - children can be thought of as a consumer good 2. economic contributions to household 3. insurance in poorer societies without elaborate social security measures, people cannot save towards old age and have children as a way to support them the costs of having additional children: 1. direct financial costs the cost of raising children varies with living standards 2. foregone income during childbearing and child rearing - if a woman leaves the workforce while she is pregnant or in the early years of her children s lives 3. possible psychic costs the number of children a family has decreases as society becomes more modernized and industrialized and as more production is done outside the household because the benefits of having more children decrease and the costs of having more children increase: the benefits of additional children decrease: 1. there are fewer ways children can contribute to household income

5 Chapter 7 - Population, page 5 of 9 2. the insurance effect of an additional child decreases a) because the existing children have a higher chance of surviving to adulthood and taking care of their parents in old age and b) because public insurance (such as social security) and private insurance become more available as a country s average income increases the costs of having additional children increase: 1. the expected standard of living rises as a country s average income increases 2. as incomes rise, there is a greater incentive to invest in children s education, and education is expensive (parents can choose between child quality and child quantity ) child quality vs. child quantity parents who have a given amount of resources to use in raising children can choose between having many children or having fewer children if parents choose to have fewer children, these children will have greater human capital, better health and well-being, and greater productive potential than the several children the parents could have had otherwise as incomes rise, parents will choose to have fewer children (who have higher quality ) than before the demographic transition and a declining birth rate: in the demographic transition, the death rate declines before the birth rate; during the lag between the declines, the population in a country grows quickly because of the large gap between the birth and death rates: rates birth rate death rate lag time difference between birth rate and death rate decreases to zero during this time lag, people s expectation about how many of their children will survive changes; as the death rate decreases, people realize that a greater proportion of their children will survive and they will have fewer children, so the birth rate will start to decline fertility, costs and benefits, and social norms: according to Richard Easterlin, fertility is based on both costs/benefits and social norms however, social norms might be a function of the nature of the economy; for instance, if there is not much investment in children (in their health, etc.) and children have a high chance of death, then a social/cultural norm might encourage having many children social norms change slowly, they could even be considered autonomous fertility and female education: the strongest influence on reducing fertility is female education

6 Chapter 7 - Population, page 6 of 9 from a policy standpoint, this suggests that promoting the education of female children will help reduce the population growth rate some East Asian countries have relatively high female education (and a smaller gap between female and male education) and lower population growth rates; South Asia and sub-saharan Africa have less female education (and a greater gap between female and male education) and have higher population growth rates why might females have fewer children if they are more educated? presumably, educated women have a greater intellectual understanding of costs and benefits of having children, which influences their fertility decisions uneducated women might not understand choice or how to exercise it with education, women s attitudes might modernize and women might be able to play alternative roles educated women earn higher wages thus, the foregone income from having more children is larger for educated women than uneducated women the future of population growth: simple models that predict standing room only are probably wrong because of the pattern shown by history; rapid population growth will probably end eventually rapid population growth will probably end because as economic development occurs, people prefer smaller families and the demographic transition occurs is population growth harmful to development? the evidence for population growth harming development is ambiguous regression models can show the correlation between an independent variable (which include initial income, investment rate, income inequality, and population growth rate) and the growth rate of income per capita: growth rate of income per capita independent variable regressions which include the growth rate of population among their explanatory variables and the growth rate of income per capita as their dependent variable do not show a clear relationship why might population growth be expected to be harmful to development? for a given saving rate, the greater the population growth rate is, the less capital per worker is available and income per worker is less (this is explained by the Solow model) for a given level of expenditure on education, the higher the population growth rate is, the less education per child is available; the demographic structure of countries with high population growth rates shows a large proportion of the population is less than age 15 if there are more people of school age (thus, more dependents per worker), then there is less income per person (assuming a given

7 Chapter 7 - Population, page 7 of 9 income per worker) than if the demographic structure were more even; thus, there is less education per child (what the working population can afford to spend on education is spread out over more children) there is a controversy over whether population growth hurts development: 1. there is no clear correlation between the population growth rate and the rate of growth of per capita income 2. however, there is a strong correlation between population density and income growth; East Asia, China, Japan, and Korea and also to a lesser degree India and Southeast Asia have been developing faster than other less densely-populated countries; thus, a high population density is not necessarily bad for development the textbook concludes that most economists believe that population growth is harmful to development in the short-run (not all economists agree), but the evidence for this is weak the theory of optimum population: this is a theoretical model and is not based on actual data; according to this model, as a country s population increases, its per capita income will initially increase but then decrease beyond a certain population size: per capita income Smithian Malthusian region region population the first part of this curve is termed the Smithian region (named after Adam Smith); in this region, per capita income increases as population increases for two reasons: 1. greater division of labor (specialization) the division of labor (specialization) of both firms and workers within the firms is limited by the size of the markets for their goods; firms will not be very specialized and will not use very specialized labor when markets for their products are small; however, if the market sizes increase because population grows, then both the firms and workers within the firms can specialize further, which raises both the firms and workers productivity 2. lower transportation costs as people live closer to each other, the cost of transportation decreases because it is more efficient to have a dense network of railroads, roads, etc. than have an infrastructure that is broadly spread out the second part of this curve is termed the Malthusian region (named after Thomas Malthus); in this region, per capita income decreases as population increases because a country is assumed to have a fixed quantity of resources as more people are added to the country, marginal productivity of labor decreases because of diminishing returns to the fixed quantity of resources it is possible that countries never enter the Malthusian region because of technological change; technological change has the effect of pushing the curve out:

8 Chapter 7 - Population, page 8 of 9 per capita income Smithian Malthusian region region population according to this model, some countries might be too sparsely populated to have the efficiencies present at higher population sizes; for these countries, population growth could be beneficial to income per capita in the long run (however, population growth should be slow because rapid population growth will still have the negative effects discussed earlier) alternatively, some countries might have developed early on both dense populations and centralized government, commerce, agriculture, etc. which led to a social and cultural evolution; their economic culture rather than their population density per se may have led to faster economic growth in recent times than in societies that did not develop early on; for example, China vs. New Guinea population policy there are several possible interventions to reduce the population growth rate: 1. do nothing about population growth itself, except foster development: it could be that the best way to reduce population growth is to increase the standard of living however, it is also possible that lower population growth rates lead to a higher standard of living; for instance, East Asian countries grew partially because they underwent the demographic transition earlier and had a higher income per capita because of a low population growth rate Marxists, radicals, etc. argue take care of the population and the population will take care of itself ; according to this view, population control policies for developing countries promoted by groups in rich countries (such as the Rockefeller Foundation) are genocidal in nature; instead of using population policies, if the standard of living of poor people is raised, then population growth will decline on its own 2. improving education, especially of women: especially improving education in primary (also secondary) school in countries where many do not receive enough education to be even literate 3. offering health education: such as a) offering family planning services and techniques as health care measures and b) disseminating information about family planning 4. offering incentives to have fewer children: for example, Singapore offered access to government subsidized apartments and tax breaks to people with fewer children; this policy was reversed because the government wanted educated people (who were having fewer children in exchange for these benefits) to have more children 5. inducements/threats:

9 Chapter 7 - Population, page 9 of 9 for example, a campaign under Indira Ghandi in India offered a free transistor radio in exchange for sterilization for example, in the early 1980s China decided the optimum population was about 700 million, when it already had over 1 billion people; to reduce the size of the population, China implemented a one child per family restriction and enforced it using penalties and incentives; the fertility rate dropped below the replacement rate for a long time, but not all families adhered to the one family/one child rule (urban families averaged about 1 child per family and rural families averaged about 2 children per family); inducements/threats will not be accepted where personal liberties are more respected demographic momentum: after implementing the one family/one child plan, the fertility rate in China dropped below the replacement rate; however, the population continued to grow why? if the proportion of women of child-bearing age is high in a country and the fertility rate is low (such as 2), the number of children born as a fraction of the country s population is still large thus, the population growth rate remains high, even though fertility is low this population bulge at the younger ages in a population s demographic structure takes a while to settle out this is referred to as demographic momentum; demographic momentum explains the echo of the Baby Boom in the U.S. also

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