An August 2007 science review in The New York Times raised the claim that the Industrial Revolution had enabled the modern world to break out of the Malthusian Trap, while a front page Wall Street Journal article in March 2008 pointed out various limited resources which may soon limit human population growth because of a widespread belief in the importance of prosperity for every individual and the rising consumption trends of large developing nations such as China and India.
A series that is increasing in geometric progression is defined by the fact that the ratio of any two successive members of the sequence is a constant. For example, a population with an average annual growth rate of, say, 2% will grow by a ratio of 1.02 per year. In other words, the ratio of each year's population to the previous year's population will be 1.02. In modern terminology, a population that is increasing in geometric progression is said to be experiencing exponential growth.
Alternately, in an arithmetic progression, any two successive members of the sequence have a constant difference. In modern terminology, this is called linear growth.
If unchecked over a sufficient period of time, and if the ratio between successive sequence members is larger than 1.0, then exponential growth will always outrun linear growth. Malthus saw the difference between population growth and resource growth as being analogous to this difference between exponential and linear growth. Even when a population inhabits a new habitat – such as the American continent at Malthus' time, or when recovering from wars and epidemic plagues – the growth of population will eventually reach the limit of the resource base. (Malthus 1798, chapter 7: A Probable Cause of Epidemics).
In any group some individuals will be more pro-fertility in their beliefs and practices than others. According to neo-Malthusian theory, these pro-fertility individuals will not only have more children, but also pass their pro-fertility on to their children, meaning a constant selection for pro-fertility similar to the constant natural selection for fertility genes (except much faster because of greater diversity). According to neo-Malthusians, this increase in fertility will lead to hyperexponential population growth that will eventually outstrip growth in economic production. This appears to make any sort of voluntary fertility control futile, in the long run. Neo-Malthusians argue that although adult immigrants (who, at the very least, arrive with human capital) contribute to economic production, there is little or no increase in economic production from increased natural growth and fertility. Neo-Malthusians argue that hyperexponential population growth has begun or will begin soon in developed countries.
To this can be added that, unknown to Malthus, farmland deteriorates with use. Some areas where there was intensive agriculture in classic times (i.e., the feudal era) had already declined in population because their farmland was worn out, long before he wrote.
At the time Malthus wrote, and for 150 years thereafter, most societies had populations at or beyond their agricultural limits. After World War I, the growth rate of the world's population accelerated rapidly, resulting in predictions by Paul R. Ehrlich and many others of an imminent Malthusian catastrophe. However, the so-called Green Revolution produced a contemporaneous exponential increase in the world's food supply, and the date of the predicted Malthusian collapse had been temporarily forestalled, until the peaking of agricultural production began to occur in the 1990s in several world regions.
David Pimentel and Ron Nielsen, working independently, found that the human population has passed the numerical point where all can live in comfort, and that we have entered a stage where many of the world's citizens and future generations are trapped in misery. There is evidence that a catastrophe is underway as of at least the 1990s; for example, by the year 2000, children in developing countries were dying at the rate of approximately 11,000,000 per annum from strictly preventable diseases. This data suggests that by the standard of misery, the catastrophe is underway. The term 'misery' can generally be construed as: high infant mortality, low standards of sanitation, malnutrition, inadequate drinking water, widespread diseases, war, and political unrest.
Regarding famines, data demonstrates the world's food production has peaked in some of the very regions where food is needed the most. For example in South Asia, approximately half of the land has been degraded such that it no longer has the capacity for food production. In China there has been a 27% irreversible loss of land for agriculture, and continues to lose arable land at the rate of 2,500 square kilometres per year. In Madagascar, at least 30% of the land previously regarded as arable is irreversibly barren. On the other hand, recent data shows the number of overweight people in the world now outnumbers that of malnourished, and the rising tide of obesity continues to expand in both rich and poor countries.
Many technologically developed countries have by 2006 passed through the demographic transition, a complex social development in which total fertility rates drop in response to lower infant mortality, more education of women, increased urbanization, and a wider availability of effective birth control causing the demographic-economic paradox. By the end of the 21st century, these countries could avoid population declines by permitting large-scale immigration. On the assumption that the demographic transition is now spreading to less developed countries, the United Nations Population Fund estimates that human population may peak in the late 21st century rather than continue to grow until it exhausted available resources. Some have expressed doubt about the validity of the UN projections, claiming that they are below the projections by others. The most important point is that none of the projections show the population growth beginning to decline before 2050. Indeed, the UN "high" estimate does not decline at all, even out to 2300, indicating the potential for a Malthusian catastrophe.
The actual growth curve of the human population is another issue. In the latter part of the 20th century many argued that it followed exponential growth; however, a more recent view is that the growth in the last millennium has been faster, at a superexponential (possibly hyperbolic, double-exponential, or hyper-exponential) rate. Alternatively, the apparently exponential portion of the human population growth curve may actually fit the lower limb of a logistic curve, or a section of a Lotka–Volterra cycle.
Historians have estimated the total human population on earth back to 10,000 BC. The figure on the right shows the trend of total population from 1800 to 2005, and from there in three projections out to 2100 (low, medium, and high). The second figure shows the annual growth rate over the same period. If population growth were exactly exponential, then the growth rate would be a flat line. The fact that it was increasing from 1920 to 1960 indicates faster-than-exponential growth over this period. However, the growth rate has been decreasing since then, and is projected to continue decreasing. The United Nations population projections out to 2100 (the red, orange, and green lines) show a possible peak in the world's population occurring as early as 2040 in the most optimistic scenario, and by 2075 in the "medium" scenario.
The graph of annual growth rates (below) does not appear exactly as one would expect for long-term exponential growth. For exponential growth it should be a straight line at constant height, whereas in fact the graph from 1800 to 2005 is dominated by an enormous hump that began about 1920, peaked in the mid-1960s, and has been steadily eroding away for the last 40 years. The sharp fluctuation between 1959 and 1960 was due to the combined effects of the Great Leap Forward and a natural disaster in China. Also visible on this graph are the effects of the Great Depression, the two world wars, and possibly also the 1918 influenza pandemic.
Though short-term trends, even on the scale of decades or centuries, cannot prove or disprove the existence of mechanisms promoting a Malthusian catastrophe over longer periods, the prosperity of a small fraction of the human population at the beginning of the 21st century, and the debatability of ecological collapse made by Paul R. Ehrlich in the 1960s and 1970s, has led some people, such as economist Julian L. Simon, to question its inevitability.
A 2004 study by a group of prominent economists and ecologists, including Kenneth Arrow and Paul Ehrlich suggests that the central concerns regarding sustainability have shifted from population growth to the consumption/savings ratio, due to shifts in population growth rates since the 1970s. Empirical estimates show that public policy (taxes or the establishment of more complete property rights) can promote more efficient consumption and investment that are sustainable in an ecological sense; that is, given the current (relatively low) population growth rate, the Malthusian catastrophe can be avoided by either a shift in consumer preferences or public policy that induces a similar shift.
However, some contend that the Malthusian catastrophe is not imminent. A 2002 study by the UN Food and Agriculture Organization predicts that world food production will be in excess of the needs of the human population by the year 2030; however, that source also states that hundreds of millions will remain hungry (presumably due to economic realities and distribution issues).
Another way of applying the Malthusian theory is to substitute other resources, such as sources of energy for food, and energy consumption for population. (Since modern food production is energy and resource intensive, this is not a big jump. Most of the criteria for applying the theory are still satisfied.) Since energy consumption is increasing much faster than population and most energy comes from non-renewable sources, the catastrophe appears more imminent, though perhaps not as certain, than when considering food and population continue to behave in a manner contradicting Malthus's assumptions.
Retired physics professor Albert Bartlett, a modern-day Malthusian, has lectured on "Arithmetic, Population and Energy" over 1,500 times. He published an article entitled Thoughts on Long-Term Energy Supplies: Scientists and the Silent Lie in Physics Today (July 2004). For a response to Bartlett's argument, see two articles on energy and population in Physics Today, November 2004, and following letters to the editor.
A further way of analyzing resource limitation is the dwindling area for storage of soil contaminants and water pollution. The high rate of increase in toxic chemicals in the environment (especially persistent organic chemicals and endocrine altering chemicals) is creating a circumstance of resource limitation (e.g. safe potable water and safe arable land).