Abstract
Newtonian mechanics and the theory of relativity, which describe planetary motion accurately, have enabled humans to land on the moon. There is a strict rule that mathematically connects gravity and motion. However, demographers have not identified such a connection in population dynamics thus far (or, it may not exist). Accordingly, we still do not have any theory that can predict the exact figures for future populations. Nevertheless, researchers have used mathematics and have systematized the theory of mathematical demography. One of the reasons is to not only identify the strict rule in demographic phenomena, but also to establish a universal index that determines the eventual state of a population. The Malthus equation is the simplest and most basic mathematical model in this field. This chapter discusses the difference between deterministic and stochastic demographic models through the addition of noise.
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Notes
- 1.
This function is known as a geometric Brownian motion.
- 2.
This relationship is called L\(\grave{\textrm{e}}\)vy’s formula.
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Oizumi, R. (2022). Deterministic and Stochastic Population Models. In: Population Dynamics Based on Individual Stochasticity. SpringerBriefs in Population Studies(). Springer, Singapore. https://doi.org/10.1007/978-981-19-3548-0_1
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DOI: https://doi.org/10.1007/978-981-19-3548-0_1
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