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Exponential population growth refers to a pattern of increase in which a population grows by a fixed percentage over equal intervals of time, resulting in the numbers rising at an accelerating rate. In this form of growth, the larger the population becomes, the more individuals are added in the next period because growth is proportional to the existing size. Mathematically, it can be expressed as P = P₀eʳᵗ, where P₀ is the initial population, r is the rate of growth, and t is time. This model assumes unlimited resources and constant fertility and mortality rates, leading to a J-shaped curve when population size is plotted against time. Exponential growth is often observed in the early stages of population expansion, particularly when a society experiences high birth rates and declining death rates due to improvements in health, sanitation, and food supply. The concept of exponential population growth is closely associated with classical population theories. The most influential early explanation came from Thomas Robert Malthus, who argued that population tends to grow geometrically while food production increases only arithmetically. According to the Malthusian perspective, unchecked population growth would eventually outstrip resources, leading to famine, disease, and conflict. Although Malthus emphasized the dangers of rapid population expansion, his geometric model essentially described exponential growth. Later demographic theories, such as the demographic transition theory, also incorporate the idea of rapid population increase during certain stages of economic development, especially when mortality declines but fertility remains high. Exponential growth differs from other forms of population growth such as linear growth and logistic growth. Linear growth occurs when a constant number of individuals is added each year, resulting in a _________ ________ ___ ______ __________.
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