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. 2014 Jul 7;9(7):e100014. doi: 10.1371/journal.pone.0100014

Table 4. Comparison of various differentiation measures for Matrix I (with Inline graphic = 0.48, Inline graphic = 0.47) and Matrix II (with Inline graphic = 0.167, Inline graphic = 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 #
Inline graphic 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
Inline graphic 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
Inline graphic q = 2 0.002 0.388
Inline graphic q = 2 0.004 0.145
Inline graphic 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.