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The reason behind this pattern is still unknown, but may be related to the fact that phaeomelanins instead of eumelanins are the dominant pigment in red plumage.
The mechanism behind this pattern is revealed when the average distance from every ant to its two neighbouring ants is plotted as a function of its response threshold (Figure 2).
The idea behind this pattern is that there is a dilution of responsibility and reward in a large class (students are fairly anonymous and will not get personally called out for not participating, and, even if they do participate, the chance they will be rewarded by being called on is low), which decreases motivation to participate (Kidwell and Bennett, 1993).
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This pattern is hardly new.
This pattern is broadly replicated.
This pattern is not unusual.
This pattern was supported by the evolutionary forces behind the expression division of duplicate genes.
But while the pattern of this spread is well-known, the reason behind the pattern is not.
Yet, behind this simple pattern is a complex system of interactions, regulation and dynamic behaviors.
Some of the mathematics behind the pattern were first worked out in Moscow in the 1970's by Yakov Zeldovich, a physicist who deduced that roundish lumps should tend to collapse into pancakes.
From a pluralistic perspective, methods specifically designed to reveal the multiple processes behind the pattern are necessary, as they challenge attempts to explain all patterns by a single process (e.g. all evolution by a tree-like process of descent).
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CEO of Professional Science Editing for Scientists @ prosciediting.com