Biodiversity Conservation and Phylogenetic Systematics

190

Appendix

Table 3 Objectivefunctionandconstraintsoftaxonselectionproblemsforthepheasantexample

Maximize λλ

11 yy+...+ 2020

(1)

Subject to

Size constraint: xxxxxxxxxxk

PB++PC PE++PG PI++PM GG++GL GS+≤GV

(2)

Binary constraints: xi

i∈{,^01 }∀taxon

(3)

yσ∈∀{} 01 , σ= 12 ,.., 0 (4)

Split constraints: yx i

ii≤∀taxon

(5)

yx 11 ≤+PB xPC

yx 11 ≤+PE xxPG++PI xxPM++GG xxGL++GS xGV

yx 12 ≤+PB xxPC+PI

yx 12 ≤+PE xxPG++PM xxGG++GL xxGS+GV

yx 13 ≤+PB xxPC++PG xPI

yx 13 ≤+PE xxPM++GG xxGL++GS xGV

yx 14 ≤+PB xxPC++PG xxPI+ PM

yx 14 ≤+PE xxGG++GL xxGS+GV

yx 15 ≤+PB xxPC++PE xxPG+ PI

yx 15 ≤+PM xxGG++GL xxGS+GV

yx 16 ≤+PB xxPC++PE xxPG++PI xPM

yx 16 ≤+GG xxGL++GS xGV

yx 17 ≤+PB xxPC++PE xxPG++PI xxPM+GS

yx 17 ≤+GG xxGL+ GV

yx 18 ≤+PB xxPC++PE xxPG++PI xxPM++GG xGS

yx 18 ≤+GL xGV

yx 19 ≤+PB xxPC++PE xxPG++PI xxPM+GV

yx 19 ≤+GG xxGL+ GS

yx 20 ≤+PB xxPC++PE xxPG++PI xxPM++GL xGV

yx 20 ≤+GG xGS

(continued)

O. Chernomor et al.