Reposting a November 25, 2014 at 4:46 pm comment to Quanta on the Tracy-Widom New Universal Law article
This is a simple way to demonstrate the “dual paradigm view” as a bridge between the abstract complex systems theory and direct study of individual complex systems, to advance our understanding to of the mysterious phenomenon of “emergence”. The article suggested that as statistical systems ecologies generally could never be structurally stable, but did not compare that to systems that rely of “accumulative organizational design” particularly those with “learning parts” as ecosystems systems so often to have rather than “correlated random variables”. The moderator clearly liked this better than my first response not published.
The “dual paradigm view” addresses the dilemma of complexity science that computer models are fine for theory, but don’t really let you study nature. That’s what a way to connect mathematical systems theory with individual systems study addresses. Much of my work of the past 35 years has been on that subject, now recently raised by David Pines’ in a founder’s article for SFRI Emergence: A unifying theme for 21st century science, saying that physics and complex systems science now need a way to study the physical phenomenon of emergence and actual complex systems to progress. My reply to his article Can Physics Study Behavior not Theory, was first posted on Medium.
It’s interesting that with such a number of cross connecting areas of physics being discussed, the ultimate finding technically didn’t answer the initial question posed. That was Robert May’s “question about whether a complex ecosystem can ever be stable, or whether interactions between species inevitably lead some to wipe out others”.
The mathematical analysis of that question and others was limited to “kinds of random growth” and “systems of correlated random variables”. There are also lots of non-randomly behaving systems too is worth considering, and may have been overlooked in answering the basic question. The variety of organizational growth systems that are familiar everywhere in nature display many kinds of growth curves and outcomes, often having an overall appearance of being 1) quite lopsided, 2) quite symmetric, or 3) reaching extended stable states.
note: How the meaning of probability distribution curve shapes (as discussed in the article) differs from the meaning of these individual development curve shapes was skipped in this short comment on the article. Please do bring it up of course if needed. The question posed was about the development of individual ecosystems, and their potential structural stability.
Generic common curve shapes
for the development of organizational systems.
The one looking like a TW distribution curve is familiar to all economics and other matters, as a “meteoric rise” followed by “immediate decline”, like many a seemingly fine business plans might experience. The quite unusual thing is this same shape turns up in Gamma Ray burst records too (see image of BATSE 551 #1 below). It raises the question of whether that system (presumably of radiation from black hole collapse) reflects the organizational stages of a system that experiences a “blows out” (like some of our best business plans do) or that of a statistical distribution for correlated variables, or something else?
In any case, just asking that raises the possibility of a bridge between TW correlations and the fates of natural system organization designs, and perhaps a need to consider whether the other kinds of system are available to change the outcome for May’s ecosystems, depending on their design.
( reposted from the Pattern Language Debategraph