Table 1 Various functional relationships between species diversity and elevations. The α-Diversity indices used in this study were the Simpson index, Shannon index, and Pielou index. Data not presented in parentheses are the coefficients of determination of the equations, and data in parentheses are the P values of the significance testing of the equations. The numbers of data points are 80, 64, and 20 from sub-quadrats for the herb, shrub, and tree communities, respectively.

From: The mid-domain effect of mountainous plants is determined by community life form and family flora on the Loess Plateau of China

Plant type

Diversity index

Exponential function

Linear function

Logarithmic function

Quadratic polynomial function

Power function

Herb

Simpson

0.34 (0.03)

0.35 (0.03)

0.33 (0.03)

0.35 (0.02)

0.33 (0.03)

Shannon

0.19 (0.32)

0.19 (0.12)

0.19 (0.12)

0.22 (0.09)

0.21 (0.10)

Pielou

0.49 (0.01)

0.51 (< 0.01)

0.48 (0.01)

0.55 (< 0.01)

0.46 (0.01)

Shrub

Simpson

0.72 (0.05)

0.63 (0.06)

0.57 (0.08)

0.73 (0.14)

0.64 (0.06)

Shannon

0.64 (0.06)

0.50 (0.12)

0.42 (0.17)

0.69 (0.17)

0.55 (0.09)

Pielou

0.42 (0.16)

0.44 (0.15)

0.47 (0.13)

0.52 (0.33)

0.45 (0.14)

Tree

Simpson

< 0.01 (0.83)

0.01 (0.75)

< 0.01 (0.90)

0.42 (0.07)

< 0.01 (0.98)

Shannon

0.06 (0.41)

0.05 (0.46)

0.03 (0.58)

0.40 (0.08)

0.04 (0.52)

Pielou

0.65 (< 0.01)

0.66 (< 0.01)

0.71 (< 0.01)

0.80 (< 0.01)

0.70 (< 0.01)