This web site really pisses me off becauseHiggenbotham wrote: ↑Tue Feb 14, 2023 11:55 amhttps://amarna-ltd.co.uk/index.htmlTom Mazanec wrote: ↑Tue Feb 14, 2023 9:48 amHiggenbotham, is Marc Widdowson still alive? Have you anything from him since 2001?
they charge for analyses based on fraud.
Here's a sample from the web site:
it's hard to know where to start with this ridiculous mess. he says that world population follows a hyperbolic curve, and you have to be an idiot not to know that it follows an exponential curve. that graph is equally ridiculous, since if it had been draft on a logarithmic scale, then the graph would be pretty much a straight line rather than what they imagine to be a hyperbola.https://amarna-ltd.co.uk/index.html
Amarna Ltd
The further you look back,
the further you see forward
Amarna is a theoretical history
consultancy and research company. It
provides advice and solutions in thae
areas of strategy, intelligence,
forecasting and communication. This
website showcases the growing precision
and predictive power of socio-historical
models thanks to better theory, new data
and the tools of complexity science.
...
World population follows a hyperbolic
curve that can be explained by a simple
model. Let P = population and T =
technology. Assume that population is
limited by the technology, i.e. better
technology makes possible a larger
population. This can be expressed as P =
a T, where a is some constant of
proportionality. Assume the growth of
technology is increased by both the
population (more potential inventors)
and the technology already in existence
(facilitating the spread and
recombination of ideas). This can be
expressed as dT/dt = b P T, where b is a
constant. We can therefore write dP/dt
=a dT/dt = a b P T, and since a T = P,
this becomes dP/dt = b P2. The solution
to this equation is P = c / (t0 - t)
where c = 1 / b, t0 = 1 / (b P0 ), and
P0 = starting population. This is the
equation of a hyperbola. With suitable
estimates of c and P0, it fits the
observed growth of world population to
an accuracy of 99.6%. Andrey Korotayev,
Artemy Malkov & Daria
Khaltourina. 2006. Introduction to
Social Macrodynamics: Compact
Macromodels of the World System
Growth. URSS.
then they go on to say that technology is proportional to population. they state this with no evidence whatsoever and it's clearly ridiculous, since a lot of technology is developed during wars when population is falling. they then go on to conclude p. equals a. t, imagining a. constant of proportionality a, that is, the proportion between population and technology. actually, both population and technology grow exponentially, with different exponential exponents, meaning that a would itself have to be an exponential value, not a constant.
the website goes on to post additional nonsense based on these erroneous and unsupported assumptions. but what the hell, as long as they're making money, what difference does it make?
this website is perfectly appropriate for a dark age hovel.