World Library  
Flag as Inappropriate
Email this Article

Malthusian growth model

Article Id: WHEBN0003437245
Reproduction Date:

Title: Malthusian growth model  
Author: World Heritage Encyclopedia
Language: English
Subject: Population dynamics, Carrying capacity, Thomas Robert Malthus, Population ecology, Ecosystem model
Collection: 1798 in Economics, Demography, Empirical Laws, Mathematical Modeling, Population, Population Ecology
Publisher: World Heritage Encyclopedia
Publication
Date:
 

Malthusian growth model

A Malthusian Growth Model, sometimes called a simple exponential growth model, is essentially exponential growth based on a constant rate. The model is named after Thomas Robert Malthus, who wrote An Essay on the Principle of Population (1798), one of the earliest and most influential books on population.[1]

Malthusian models have the following form:

P(t) = P_0e^{rt} \,

where

  • P0 = P(0) is the initial population size,
  • r = the population growth rate, sometimes called Malthusian parameter,
  • t = time.

This model is often referred to as the exponential law.[2] It is widely regarded in the field of population ecology as the first principle of population dynamics,[3] with Malthus as the founder. The exponential law is therefore also sometimes referred to as the Malthusian Law.[4]

It is generally acknowledged that populations can not grow indefinitely. [5] Joel E. Cohen has stated that the simplicity of the model makes it useful for short-term predictions, but not of much use for predictions beyond 10 or 20 years.[6]

The simplest way to limit Malthusian growth model is by extending it to a logistic function. Pierre Francois Verhulst first published his logistic growth function in 1838 after he had read Malthus' essay.

See also

References

  1. ^ "Malthus, An Essay on the Principle of Population: Library of Economics" (description), Liberty Fund, Inc., 2000, EconLib.org webpage: EconLib-MalPop.
  2. ^ Peter Turchin, "Complex population dynamics: a theoretical/empirical synthesis" Princeton online
  3. ^ Turchin, P. "Does Population Ecology Have General Laws?" Oikos 94:17–26. 2000
  4. ^ Paul Haemig, "Laws of Population Ecology", 2005
  5. ^ Cassell's Laws Of Nature, James Trefil, 2002 – Refer 'exponential growth law'.
  6. ^ Cohen, J. E. How Many People Can The Earth Support, 1995.

External links

  • Malthusian Growth Model from Steve McKelvey, Department of Mathematics, Saint Olaf College, Northfield, Minnesota
  • Logistic Model from Steve McKelvey, Department of Mathematics, Saint Olaf College, Northfield, Minnesota
  • Laws Of Population Ecology Dr. Paul D. Haemig
  • On principles, laws and theory of population ecology Professor of Entomology, Alan Berryman, Washington State University
  • Mathematical Growth Models
  • e the EXPONENTIAL – the Magic Number of GROWTH – Keith Tognetti, University of Wollongong, NSW, Australia
  • Introduction to Social Macrodynamics Professor Andrey Korotayev
  • Interesting Facts about Population Growth Mathematical Models from Jacobo Bulaevsky, Arcytech.
  • A Trap At The Escape From The Trap? Demographic-Structural Factors of Political Instability in Modern Africa and West Asia.
This article was sourced from Creative Commons Attribution-ShareAlike License; additional terms may apply. World Heritage Encyclopedia content is assembled from numerous content providers, Open Access Publishing, and in compliance with The Fair Access to Science and Technology Research Act (FASTR), Wikimedia Foundation, Inc., Public Library of Science, The Encyclopedia of Life, Open Book Publishers (OBP), PubMed, U.S. National Library of Medicine, National Center for Biotechnology Information, U.S. National Library of Medicine, National Institutes of Health (NIH), U.S. Department of Health & Human Services, and USA.gov, which sources content from all federal, state, local, tribal, and territorial government publication portals (.gov, .mil, .edu). Funding for USA.gov and content contributors is made possible from the U.S. Congress, E-Government Act of 2002.
 
Crowd sourced content that is contributed to World Heritage Encyclopedia is peer reviewed and edited by our editorial staff to ensure quality scholarly research articles.
 
By using this site, you agree to the Terms of Use and Privacy Policy. World Heritage Encyclopedia™ is a registered trademark of the World Public Library Association, a non-profit organization.
 


Copyright © World Library Foundation. All rights reserved. eBooks from Project Gutenberg are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.