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How do you calculate doubling time for a population?

GeneralClass 12AllAnswered 27 Mar 2026
Answer

Doubling time is the period required for a population to double in size, and it's directly related to the intrinsic rate of increase (r). The formula is remarkably simple: doubling time = ln(2) / r, which equals approximately 0.693 / r.

For instance, if an annual plant population like Nicotiana increases by 12% per year (r = 0.12), the doubling time would be 0.693 / 0.12 = approximately 5.78 years. This means the population will double roughly every 5.8 years if growth remains constant. Understanding doubling time is particularly valuable for agricultural planning, invasive species management, and predicting human population growth. It provides an intuitive way to grasp exponential growth—a concept that can otherwise seem abstract—by translating growth rates into concrete timeframes.

General · Class 12