Table 9 Parameter estimation (standard errors in parentheses) for nonlinear RBAI models using the pooled BAL competition index as described in Eq. 3

Fixed part

b ₃₀

0.0255 (0.0029)

0.0487 (0.0032)

0.0336 (0.0064)

0.0179 (0.0132)

b ₃₁

−0.1302 (0.0972)

2.0527 (0.4851)

−0.9071 (0.8982)

−0.1552 (0.0933)

b ₃₂

0.0438 (0.0115)

n.s.

0.1718 (0.1238)

0.0265 (0.0089)

b ₃₃

−14.1059 (1.5029)

−4.8198 (0.6377)

−8.0235 (2.1179)

−28.2363 (6.9015)

b ₃₄

1^e

1^e

1^e

1^e

b ₃₅

0.0444 (0.0174)

0.0840 (0.0162)

0.0656 (0.0119)

0.0238 (0.0093)

b ₃₆

1.0997 (0.1250)

1^e

1^e

1^e

Random effects

σ _jk ^a

0.0079

0.0149

0.0193

0.0140

σ _k ^b

0.0088

x

x

x

σ ^2c

2.5953

1.2201

0.6286

2.6173

δ ^d

−1.1059

−0.8714

−0.8495

−1.0421