A central political and decision science issue is to understand how el
ection outcomes can change with the choice of a procedure or the slate
of candidates. These questions are answered for the important Copelan
d method (CM) where, with a geometric approach, we characterize all re
lationships among the rankings of positional voting methods and the CM
. Then, we characterize all ways CM rankings can vary as candidates en
ter or leave the election. In this manner new CM strengths and flaws a
re detected.