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The mathematical modelling of population change. (English) Zbl 1383.92062
Summary: A common problem in modelling population change, whether of humans or animals, is estimating the values of the various parameters in the mathematical functions used to describe the population trajectory. Typically both the population’s rate of growth and ultimate maximum size are unknown and so various numerical approximation methods have to be used. In this article a mathematical method of population projection is presented which avoids these difficulties and takes the baseline case that the only data available for computation are the populations from just three censuses. It is a method indicated, but not developed by N. Keyfitz [Applied mathematical demography. 2nd ed. New York etc.: Springer-Verlag (1985; Zbl 0597.92018)].
MSC:
92D25 Population dynamics (general)
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[1] Giordan, F. and Weir, M., A first course in mathematical modelling, Brook/Cole, Monterey, California (1983).
[2] Fillford, G., Forrester, P. and Jones, A., Modelling with difference and differential equations, Cambridge University Press (1997).
[3] Thomas, R. and Huggett, R., Modelling in geography: a mathematical approach, Barnes and Noble, New Jersey (1980).
[4] Keyfitz, N., Applied mathematical demography (2nd edn.), Wiley (1980). 7461232 · Zbl 1060.91519
[5] Bologna, M. and Flores, J., A simple mathematical model of society collapse applied to Easter Island, EPL (The Frontiers of Physics)81, 4, 48006 (2008) pp. 1-4.
[6] Janssen, M. and Scheffer, M., ‘Overexploitation of renewable resources by ancient societies and the role of sunk-cost effects’ Ecology and Society9, 1. (2004). Accessible at: http://www.ecologyandsociety.org/vol9/iss1/art6
[7] World Population Prospects 2010 revision, Population Division Database. UN Department of Economic and Social Affairs, Population Division, New York (2011). Accessible at: http://esa.un.org/unpd/wpp/index.htm
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