Calculating eCP and other dependent & independent params
EC is the most important parameter in the Āut's Participation framework.
It determines the expected contributions of a contributor of a Hub during a specific period.
It’s based on the Commitment Level chosen by the Individual Member, and it’s necessary to determine the ratio between the promise / commitment of a contributor, and their actual participation.
It’s calculated as:
where:
TCP: Total Contributions Points in a Community. Sum of all contributions points available in a community in a given period. They can be acquired by members by completing tasks and interactions. Each Task and Interaction has a custom weight (spacing between 1 and 10).
fiCL: Fractional Commitment Level per Individual
EC’ = normalized EC accounting the time factor ΔT
We may consider a time factor ( or ) to determine EC based on the time left in a period:
where:
;
;
This way it's possible to create a generalized abstraction to factor in participants who join a community after the start of the period T.
This works simply by accounting all absolute time available in a community in relation to each individual member:
, from which we extrapolate a fractional
This allows for a continuous calculation of EC for all members in different, arbitrarily small intervals within the same period T.
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