An affine gap penalty charges for the first position of a gap and for each additional position. With , one long gap costs less than several separate gaps of the same total length. Some software instead uses ; numerical settings must be interpreted with their convention.
A linear gap penalty assigns a cost proportional to gap length: for . One gap of length three and three gaps of length one therefore incur the same total cost, before considering alignment substitutions. An affine gap penalty distinguishes opening from extending a gap and can favour fewer longer gaps. The chosen cost is part of the alignment model rather than an experimentally measured universal price of an insertion. [ref]
Basic local alignment search tool by Stephen F. Altschul and others. 1990, alignment scores and the distinction from exhaustive gapped comparison
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