Non-occurrence of the catastrophe
At the time Malthus wrote, most societies had populations at or near their agricultural limits. But by the late 20th century, the new agricultural technologies of the green revolution had greatly expanded agricultural production throughout the world, and what famines still occurred were largely caused by war or political unrest rather than crop failure.
In addition, most technologically developed countries had by this time passed through the demographic transition, a complex social development in which total fertility rates drop drastically in response to lower infant mortality, more education of women, increased urbanization, and a wider availability of contraception. by the end of the 20th century, these countries could avoid population declines only by permitting large-scale immigration. On the assumption that the demographic transition would spread to less developed countries, the United Nations Population Division estimated that human population would peak in the late 21st century rather than continue to grow until it exhausted available resources.
Another problem is that there is no strong evidence that the human population - nor any real population - actually follows exponential growth. In plant or animal populations that are claimed to show exponential growth, closer examination invariably shows that the supposedly exponential part is actually the lower limb of a logistic curve, or a section of a Lotka-Volterra cycle. Also, examination of records of estimated total world human population [1], [1] shows at best very weak evidence of exponential growth: