Davidrxyang / raines-2024-line-addition-problem

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justification for polynomial power in adjusted route efficiency calculation (and other coefficients) #106

Closed Davidrxyang closed 3 weeks ago

Davidrxyang commented 1 month ago

how do we justify the value of the polynomial power in our adjusted route efficiency calculation, and other coefficient parameters?

henrydeng2002 commented 1 month ago

one thing to consider in justification is the induced demand effect - high complexity routes are inherently going to have less people traveling through it currently, as there are more efficient ways to travel between the points, but when a more efficient connection is added, more demand will be created between the stations. the polynomial degree somewhat represents this induced demand (find paper to support this claim)

this is also an important distinction to make somewhere in the notes & analysis of the paper - and o-d demand matrix is different from an o-d trips matrix, since some people might want to travel from one place to another (included in the demand matrix) but won't actually travel because of inefficient routing (not included in the trips matrix). we are using trips data, so important to include this distinction