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Table 3.

Least-squares regression equations for the curves that best fit the relationship of kinematic parameters with dimensionless speed (û) for Asian and African elephants

Dependent (y-axis)Independent (x-axis)Speciesabb-RMAR2Curve fit
Plf  African 0.16 0.043 0.33 0.13 Linear 
Plf  Asian 0.16 0.041 0.12 0.34 Linear 
Prh  African 0.49 0.0088 0.90 0.0098 Linear 
Prh  Asian 0.49 0.010 0.23 0.044 Linear 
Prf  African 0.65 0.042 0.42 0.10 Linear 
Prf  Asian 0.65 0.047 0.15 0.31 Linear 
β  African 0.53 0.32 0.36 0.89 Logarithmic 
β  Asian 0.51 0.32 0.38 0.84 Logarithmic 
tst  African 0.37 −0.93 −1.0 0.91 Power 
tst  Asian 0.40 −0.94 −1.0 0.93 Power 
tsw  African 0.35 −0.34 −0.56 0.61 Power 
tsw  Asian 0.39 −0.37 −0.46 0.81 Power 
  African 2.0 0.35 0.42 0.84 Power 
  Asian 2.1 0.33 0.38 0.86 Power 
  African 0.49 0.65 0.68 0.95 Power 
  Asian 0.48 0.67 0.71 0.95 Power 
L u African 1.8 0.32 0.73 0.44 Power 
L u Asian 2.0 0.33 0.54 0.61 Power 
F u African 0.56 0.68 0.87 0.78 Power 
F u Asian 0.50 0.67 0.83 0.81 Power 
Dependent (y-axis)Independent (x-axis)Speciesabb-RMAR2Curve fit
Plf  African 0.16 0.043 0.33 0.13 Linear 
Plf  Asian 0.16 0.041 0.12 0.34 Linear 
Prh  African 0.49 0.0088 0.90 0.0098 Linear 
Prh  Asian 0.49 0.010 0.23 0.044 Linear 
Prf  African 0.65 0.042 0.42 0.10 Linear 
Prf  Asian 0.65 0.047 0.15 0.31 Linear 
β  African 0.53 0.32 0.36 0.89 Logarithmic 
β  Asian 0.51 0.32 0.38 0.84 Logarithmic 
tst  African 0.37 −0.93 −1.0 0.91 Power 
tst  Asian 0.40 −0.94 −1.0 0.93 Power 
tsw  African 0.35 −0.34 −0.56 0.61 Power 
tsw  Asian 0.39 −0.37 −0.46 0.81 Power 
  African 2.0 0.35 0.42 0.84 Power 
  Asian 2.1 0.33 0.38 0.86 Power 
  African 0.49 0.65 0.68 0.95 Power 
  Asian 0.48 0.67 0.71 0.95 Power 
L u African 1.8 0.32 0.73 0.44 Power 
L u Asian 2.0 0.33 0.54 0.61 Power 
F u African 0.56 0.68 0.87 0.78 Power 
F u Asian 0.50 0.67 0.83 0.81 Power 

a and b values are for the values in the curve-fit equations; linear: y=ax+b, logarithmic: y=a−blogx,power: y=axb. RMA (Model II) slopes are also indicated (b-RMA column); calculated as (b/R2)(Sokal and Rohlf, 1995).

For an explanation of symbols, see List.

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