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. 2024 Nov 11;33:e51. doi: 10.1017/awf.2024.48

Table 2.

Principal Component analysis on the features of behavioural complexity: proportion of variance, cumulative variances, and Eigenvalues of as well as factor loadings on the first two and three principal components for the simulation and the three pilot data-sets, respectively. Numbers in bold indicate loadings for which the absolute value was above a cut-off value of 0.3. We focused on interpreting loadings with values ≥ 0.3, however the remaining loadings were not neglected in the process of component calculation

Data-set
Component No.
Transfor-mation Simulation Rats, individuals Rats, groups Hens, groups
1 A 2 B 1 2 3 1 2 3 1 2 3
Proportion of variance [%] 59.64 27.68 39.74 18.92 13.39 46.86 15.13 12.78 45.54 20.54 14.60
Cumulative variance [%] 59.64 87.32 39.74 58.67 72.06 46.86 62.00 74.76 45.54 66.09 80.69
Eigenvalues 7.75 3.60 4.37 2.08 1.47 4.37 1.66 1.41 5.47 2.46 1.75
Number of observed behaviours log 0.323 0.221 Const. 1 Const. Const. Const. Const. Const. Const. Const. Const.
Number of observed transitions log 0.345 0.137 (1) 2 (1) (1) (1) (1) (1) (1) (1) (1)
Proportion of observed behaviours arcsin–sqrt Const. Const. Const. Const. Const. Const. Const. Const. Const. Const. Const.
Proportion of observed transitions arcsin–sqrt 0.020 –0.417 0.416 0.160 0.177 0.407 0.044 0.092 0.327 0.131 0.155
Shannon diversity index (SDI) frequency behaviours none 0.351 0.072 0.356 0.305 0.221 0.409 0.006 0.097 0.374 –0.035 0.271
SDI duration behaviours none 0.352 0.045 0.233 –0.347 0.482 0.305 –0.274 –0.139 0.249 –0.409 –0.290
SDI frequency transitions none 0.334 0.186 0.133 0.474 0.280 0.286 –0.136 0.356 0.311 –0.043 0.457
SDI duration transitions none 0.343 0.118 0.145 –0.478 0.414 0.105 –0.708 –0.067 0.266 –0.512 –0.053
Variance within a transition log –0.239 0.194 0.164 –0.291 –0.337 –0.105 0.079 –0.625 –0.152 0.352 0.439
Variance between transitions log –0.242 0.319 –0.156 0.437 0.141 –0.220 0.307 0.516 –0.114 –0.268 0.376
Median number of transitions none –0.027 –0.477 0.388 0.072 0.061 0.383 –0.028 0.178 0.314 0.078 0.193
IQR 3 of the median number of transitions none –0.079 –0.386 0.366 –0.116 –0.081 0.240 0.172 –0.339 0.367 –0.060 –0.174
Median of the median transition duration log –0.293 0.250 –0.387 –0.112 0.332 –0.294 –0.464 0.160 –0.247 –0.448 0.146
IQR of the median of the median transition log –0.252 0.352 –0.350 0.001 0.428 –0.362 –0.237 0.057 –0.205 –0.369 0.424
A

General Complexity

B

Transition variability

1

“Const.” indicates features that were (nearly) constant and showed no variability, i.e. all potential behavioural categories or transitions did occur.

2

(1) The maximum number of possible transitions was constant; therefore, the number of transitions and the proportions of transitions are equivalent

3

IQR=interquartile range.