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  2. Malthusian growth model - Wikipedia

    en.wikipedia.org/wiki/Malthusian_growth_model

    P 0 = P(0) is the initial population size, r = the population growth rate, which Ronald Fisher called the Malthusian parameter of population growth in The Genetical Theory of Natural Selection, [2] and Alfred J. Lotka called the intrinsic rate of increase, [3] [4] t = time. The model can also be written in the form of a differential equation:

  3. Population growth - Wikipedia

    en.wikipedia.org/wiki/Population_growth

    Population growth is the increase in the number of people in a population or dispersed group. Actual global human population growth amounts to around 83 million annually, or 1.1% per year. [2] The global population has grown from 1 billion in 1800 to 8.1 billion in 2024. [3] The UN projected population to keep growing, and estimates have put ...

  4. Population dynamics - Wikipedia

    en.wikipedia.org/wiki/Population_dynamics

    Using these techniques, Malthus' population principle of growth was later transformed into a mathematical model known as the logistic equation: = (), where N is the population size, r is the intrinsic rate of natural increase, and K is the carrying capacity of the population. The formula can be read as follows: the rate of change in the ...

  5. Rate of natural increase - Wikipedia

    en.wikipedia.org/wiki/Rate_of_natural_increase

    Data unavailable. In demography and population dynamics, the rate of natural increase (RNI), also known as natural population change, is defined as the birth rate minus the death rate of a particular population, over a particular time period. [1] It is typically expressed either as a number per 1,000 individuals in the population [2] or as a ...

  6. Doubling time - Wikipedia

    en.wikipedia.org/wiki/Doubling_time

    As an example, Canada's net population growth was 2.7 percent in the year 2022, dividing 72 by 2.7 gives an approximate doubling time of about 27 years. Thus if that growth rate were to remain constant, Canada's population would double from its 2023 figure of about 39 million to about 78 million by 2050. [2]

  7. Leslie matrix - Wikipedia

    en.wikipedia.org/wiki/Leslie_matrix

    The Leslie matrix is a discrete, age-structured model of population growth that is very popular in population ecology named after Patrick H. Leslie. [1] [2] The Leslie matrix (also called the Leslie model) is one of the most well-known ways to describe the growth of populations (and their projected age distribution), in which a population is closed to migration, growing in an unlimited ...

  8. Gompertz function - Wikipedia

    en.wikipedia.org/wiki/Gompertz_function

    The Gompertz curve or Gompertz function is a type of mathematical model for a time series, named after Benjamin Gompertz (1779–1865). It is a sigmoid function which describes growth as being slowest at the start and end of a given time period. The right-side or future value asymptote of the function is approached much more gradually by the ...

  9. Maximum sustainable yield - Wikipedia

    en.wikipedia.org/wiki/Maximum_sustainable_yield

    At first, the population growth rate is fast, but it begins to slow as the population grows until it levels off to the maximum growth rate, after which it begins to decrease (figure 2). The equation for figure 2 is the differential of equation 1.1 ( Verhulst's 1838 growth model ): [ 13 ]