Originally Posted by
Jazid
I'd better explain myself then, I don't want to be accused of being a Trojan Horse from the unspeakable side!
The principle of diminishing returns is not just an economic law but a far more general scientific postulate that is useful because it has such simple explanatory potential. It is not a law, it is fallible, and is based on another principle, that of limiting factors, developed from Liebig's 'Law of the minimum'. The principle is simply that in any complex productive system whatever critical resource is in most limited supply will limit the rate of output of that system. For example in crops where growth is limited by the level of nitrate available to the plant, adding phosphate fertiliser will not increase growth rate as their growth is being 'strangled' by the (lack of) availability of nitrate.
The interest to hifi buffs I humbly suggest is far less in the application of the 'law' but in the reasons behind its failure. It turns out that it is quite common that by 'pushing' a system by adding extra quantities of one resource when its output is limited by a different resource often does lead to unpredicted fractional gains, and the reasons for this often remain obscure. To quote an early research article that tried to separate out various factors affecting one aspect of plant growth:
"...since the whole process consists of a series
of interlinked reactions, the effect which a change in one factor brings
about ... may induce slight modification in others as
well, thus indicating that there cannot be a sharp line of demarcation
between the changes produced by one or the other of the factors."
And to take this explanation into a hifi related context - this is a classic explanation of the unpredictable effect of system synergy. With regard to arms and cartridges the effect is clearly explainable, a different arm has a different mass and resonance, it will react to a cartridge in a different way and the dynamics of this effect will be translated into different output from the coils. As has been said a thousand times on this forum, even with amps and speakers, with sources and pre-amps, with rooms and room treatments the effects of even apparently small changes can be complex and unpredictable, to me this seems to be a 'curved ball' that makes it impossible to attribute any absolute value to a single component as it may be used in so many different systems. If there can be no absolute value attributable to a system component, how can there be a rank of values that such changes can be measured against? Without a rank how can the law of diminishing returns (that this discussion has become about) be employed for explanatory value?
TLDR - The Law of Diminishing Returns, also colloquially expressed as the 80:20 rule. Not a rule but an effective explanatory tool. Eg. 80% of meaning may be communicated in 20% of a sentence.
TLDR - Too long, didn't read. A blunt application of the 80:20 rule, brutal ( maybe to the point of rudeness) because of its economy. In fairness if the acronym meant 'not relevant, didn't read' that would have been more accurate. But Geoff, please don't think that I am not interested in your economic exposition of what is clearly a pervasive principle, I was not even aware of its use in your field and to me it is interesting in its own right.
It's rather just my opinion that this 'law' is the limiting factor in this discussion.