tag:blogger.com,1999:blog-6791792173245944806.post9199177030267323873..comments2023-06-04T17:58:33.117+02:00Comments on ThePEG - Equation of the Month: Exponential growthJörgen Ripahttp://www.blogger.com/profile/16338380487214737224noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-6791792173245944806.post-2054039340751098052011-04-04T10:06:30.871+02:002011-04-04T10:06:30.871+02:00Thank you for that contribution, Mikael!
I'd a...Thank you for that contribution, Mikael!<br />I'd also like to emphasize that exponential growth applies to structured populations as well, although it is not apparent from the standard formulation above. An age-, stage- or spatially structured population will, 'when unchecked', grow at an exponential rate (after some initial transients). The 'exponential law' is thus quite general.<br />JörgenJörgen Ripanoreply@blogger.comtag:blogger.com,1999:blog-6791792173245944806.post-6048553228770895852011-04-02T15:46:47.705+02:002011-04-02T15:46:47.705+02:00Dear friends in Lund:
Malthus' own words were:...Dear friends in Lund:<br />Malthus' own words were:<br />"Population, when unchecked, increases in a geometrical ratio. Subsistence increases only in an arithmetical ratio. A slight acquaintance with numbers will shew the immensity of the first power in comparison of the second."<br />I could not have translated his words into the formula, but fortunately Malthus' meme has evolved by itself...<br />The book is free to read online at<br />http://www.econlib.org/library/Malthus/malPop1.html#Chapter I<br />MikaelMikaelhttp://www.hh.se/personalkatalog.2637.html;jsessionid=7EB324FEFDDE56E50E1AA0F81FD16689?url=-603173856%2Fse_proxy%2FshowPerson.asp%3Fid%3DB537BE64-F052-442C-BE17-0E6ACC1CA2B8&sv.url=12.70cf2e49129168da015800066810noreply@blogger.com