New Study Proposes Mathematical Model for 12,000 Years of Human Population Growth

A groundbreaking study published in Chaos, Solitons & Fractals introduces a novel mathematical equation capable of describing 12,000 years of human population growth. This research, co-authored with the late Kostya Trachenko of Queen Mary University of London, utilizes a rate-feedback model originally developed for amorphous materials. The researchers found this non-linear approach effectively captures population dynamics from the Neolithic period to the present, explaining both slow, steady increases and explosive growth phases with a single parameter.

Unlike traditional demographic models, this new framework allows for natural transitions between different historical regimes. It revisits the 1960 "doomsday" prediction by Heinz von Foerster, which suggested the global population would tend toward infinity around 2026. While humanity averted that specific scenario due to falling fertility rates, the study posits that the underlying mathematical dynamics could re-emerge under certain conditions.

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This study supports that the same mathematical dynamics can re-emerge under certain conditions.

The model successfully reproduced historical data, including the rapid exponential growth of the industrial era and the slower, stretched exponential phase observed since 1970. The analysis indicates that current trends are not leading to a catastrophic singularity. However, the study explores hypothetical scenarios where severe environmental crises, such as climate collapse, pandemics, or resource scarcity, could drastically reduce Earth's carrying capacity. In a conservative scenario where the planet's sustainable capacity drops to 2 billion people, the model predicts a rapid global population decline, potentially halving the population by 2064. The authors stress this is a mathematical example, not a prediction, illustrating population dynamics' sensitivity to abrupt environmental or social changes.

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In a conservative hypothetical scenario, where the sustainable carrying capacity of the Earth is reduced to 2 billion people, the model predicts a rapid global population decline, with the number of people potentially halving by around 2064.