![]() ![]() Note also that a hyperbolic growth model is also recognized as a valid fit for human population data by Joel Cohen in his book How Many People Can the Earth Support? (Cohen 1995). ![]() hyperbolic growth reaches a critical point in finite time. called Doom's Day, the time at which, to use a very appropriate Russian phrase, the population enters its ‘blow-up’ phase, i.e. = a/(t 0 – t n), where a is a fitted constant, t nrepresents some time before t 0, and t 0 represents what von Foerster et al. Specifically, the integral form of the equation, dN/dt = aN 2, gives N t Korotayev, Malkov, and Khaltourina (2006a, 2006b) expanded on this model and showed clearly that the form of what they named hyperbolic growth fit the data of human population growth over the past ten thousand years quite well. proposed a model of global population growth in which the form of the growth was greater than exponential. It should be noted that the model being proposed is one of many potential models and not the sole, the only, possible model. The end result of this enhancement due to positive human interaction, a quintessential characteristic of our species, is a pattern of growth motivated by a greater-than-exponential rate of growth. The mechanism is represented by a toy model of two differential equations of interacting populations, the interactions of which enhance the reproductive abilities of the other population. In this paper an underlying mechanism is proposed which generates this greater-than-exponential growth. (2006a), have proposed models to more accurately represent this characteristic mode of human population growth. (1960) but followed more elegantly by Korotayev et al. It can be shown, however, that human population growth occurs at greater-than-exponential rates. The term, exponential, has long been associated with the growth of organismal populations from microbial populations to the populations of complex multicellular eukaryotes. Almanac: History & Mathematics:Big History Aspects ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |