Table 4. Comparison of various differentiation measures for Matrix I (with = 0.48, = 0.47) and Matrix II (with = 0.167, = 0.102) based on abundance and function (A&F), on function (F) only, and abundance (A) only.
Measure | Order | Matrix I | Matrix II | ||||
A&F | F | A # | A&F | F | A # | ||
q = 0 | 0.324 | 0.324 | 0.4 | 0.579 | 0.579 | 0.4 | |
q = 1 | 0.408 | --- | 0.4 | 0.628 | --- | 0.4 | |
q = 2 | 0.491 | --- | 0.4 | 0.678 | --- | 0.4 | |
q = 0 | 0.657 | 0.657 | 0.571 | 0.846 | 0.846 | 0.571 | |
q = 1 | 0.408 | --- | 0.4 | 0.628 | --- | 0.4 | |
q = 2 | 0.194 | --- | 0.25 | 0.345 | --- | 0.25 | |
q = 2 | 0.002 | 0.388 | |||||
q = 2 | 0.004 | 0.145 | |||||
q = 2 | 0.002 | 0.078 |
Differentiation measures are the abundance-based local differentiation measure (1−CqN) and regional differentiation measure (1−UqN) obtained from partitioning Hill numbers [36];
--- No measures for q = 1 and q = 2 because species abundances are not considered for measures based on function (F) only.