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Table 3 Parameter estimates and accuracy of fitting models (1–3) describing dependencies of distribution series statistics

From: Evaluating diameter distribution series of small-leaved lime (Tilia cordata Mill.) in forest stands

Indicator* b0 b1 b2 b3 b4 F R2 Se Sm
Thin density (n = 52)
 dmin 0.27088 1.11063 87 64 0.321 0.244
 dmax 3.42064 0.78163 220 81 0.142 0.113
 X 0.83024 1.04935 17,865 99 0.021 0.016
 S 0.66974 − 0.28426 0.07697 0.21574 86 84 0.569 0.373
 As 0.12061 − 0.19619 0.13502 0.05859 0.18010 14 59 0.198 0.142
 Ex − 0.74550 − 0.23978 0.12409 0.17177 − 0.29138 26 73 0.279 0.203
Medium density (n = 10)
 dmin 0.08156 1.59305 13 61 0.223 0.166
 dmax 1.43776 1.09182 37 82 0.092 0.073
 X 0.87370 1.03663 1760 99 0.012 0.010
 S 0.96089 − 0.00135 0.13595 − 0.03836 7 79 0.386 0.242
 As 0.81713 − 0.14320 0.14306 0.09346 − 0.41614 9 87 0.134 0.083
 Ex − 0.38934 − 0.02754 0.07582 0.16829 − 1.02149 24 95 0.134 0.079
Thick and very thick (n = 7)
 dmin 0.04068 1.88426 123 96 0.119 0.083
 dmax 3.22645 0.77014 19 79 0.123 0.100
 X 0.89798 1.02827 9146 99 0.007 0.005
 S 0.67516 − 0.17861 0.03643 0.21802 5 82 0.361 0.203
 As 0.79212 − 0.04337 0.04025 0.03288 − 0.26396 1 66 0.134 0.061
 Ex − 0.11756 0.11425 − 0.21710 0.08867 − 0.69883 3 85 0.173 0.084
  1. Where F is the significance of the equation; R2 is the coefficient of determination, %; Se is the standard equation error; Sm is the average absolute error of the equation; the italic values of F-criteria is not relevant (p > 0.05)