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Malthusian Growth Model

Last modified by
on
Jun 30, 2023, 4:41:18 PM
Created by
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Oct 18, 2015, 6:51:25 PM
P=P0ertP=P0ert
(P0)Initial Population
(t)Growth Period of Time
(r)Growth Rate Factor
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The Malthusian Growth Model calculator computes the estimated future size of a population (P) based on the current population (P0), a growth exponential factor (r) and the a period of time (t).

INSTRUCTIONS: Choose units and enter the following:

  • (P0)  Initial Population
  • (t)  Growth Period of Time
  • (r)  Growth Rate Factor

Future Population Size (P):  The calculator returns the future population (P).

Malthusian Growth Model

The Malthusian Growth Model is basically an exponential growth model based on a constant rate of change. It is widely regarded in the field of population ecology, but populations cannot grow indefinitely. This model should only be used for short time periods of about 10 to 20 years.

The formula for the Malthusian Growth Model is:

        P = P0⋅e(r⋅t)

where:

  • P = future population size
  • P0 = initial population size
  • r = exponential growth factor
  • t = period of time


Growth Calculators

Simple Stats Calc

For the most simple statistics calculator on the Internet, use vCalc's Simple Stats Calc.   The Simple Stats Calc lets you enter comma separated numbers: 

  • (x): 3,4,5,1,-17,45,67,89,7,4,4,-26

The Simple Stats Calc gives you all of these calculated results:

  • Number (n): 12 
  • Minimum Value (Min): -26.0 
  • Mean: 15.5 
  • Median: 4.0 
  • Mid-Point: 31.5 
  • Mode: 4.0 
  • Maximum Value (Max): 89.0 
  • Numeric Range: 115.0 
  • Population Variance: 1054.0833 
  • Population Standard Deviation: 32.4666 
  • Sample Variance: 1149.9091
  • Sample Standard Deviation: 33.9103 
  • Mean Absolute Deviation (MAD): 25.75 
  • Sum (Σx): 186.0 
  • Sum Squared (Σx)²: 34596.0 
  • Sum of Squares Σ(x²): 15532.0 
  • Observations: 3,4,5,1,-17,45,67,89,7,4,4,-26 
  • Sorted up: -26.0,-17.0,1.0,3.0,4.0,4.0,4.0,5.0,7.0,45.0,67.0,89.0 
  • Sorted down: 89.0,67.0,45.0,7.0,5.0,4.0,4.0,4.0,3.0,1.0,-17.0,-26.0 
 

References

https://en.wikipedia.org/wiki/Malthusian_growth_model


This equation, Malthusian Growth Model, is used in 2 pages
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