Ecological Archives M085-018-A4
Jon D. Witman, Robert W. Lamb, and Jarrett E. K. Byrnes. 2015. Towards an integration of scale and complexity in marine ecology. Ecological Monographs 85:475–504. http://dx.doi.org/10.1890/14-2265.1
Appendix D. Details of quantile regression analysis.
Table D1. Results of quantile regression analysis of time (year of publication) on the metrics of scale and complexity. Tau values represent the quantile of data used for each regression coefficient and corresponding p-value.
Variable |
tau |
Value |
Std. Error |
t value |
Pr (>|t|) |
Duration |
0.05 |
-0.007 |
0.017 |
-0.414 |
0.679 |
Duration |
0.15 |
0.002 |
0.015 |
0.130 |
0.897 |
Duration |
0.25 |
-0.010 |
0.012 |
-0.809 |
0.419 |
Duration |
0.35 |
-0.013 |
0.012 |
-1.101 |
0.272 |
Duration |
0.45 |
-0.014 |
0.012 |
-1.160 |
0.247 |
Duration |
0.55 |
-0.012 |
0.012 |
-1.020 |
0.309 |
Duration |
0.65 |
-0.003 |
0.011 |
-0.276 |
0.783 |
Duration |
0.75 |
-0.003 |
0.010 |
-0.274 |
0.784 |
Duration |
0.85 |
-0.004 |
0.010 |
-0.378 |
0.706 |
Duration |
0.95 |
0.005 |
0.008 |
0.586 |
0.558 |
Spatial Grain |
0.05 |
0.000 |
0.001 |
0.056 |
0.956 |
Spatial Grain |
0.15 |
0.000 |
0.002 |
-0.048 |
0.962 |
Spatial Grain |
0.25 |
0.000 |
0.003 |
-0.172 |
0.864 |
Spatial Grain |
0.35 |
-0.001 |
0.003 |
-0.230 |
0.818 |
Spatial Grain |
0.45 |
0.000 |
0.003 |
0.073 |
0.942 |
Spatial Grain |
0.55 |
-0.001 |
0.003 |
-0.424 |
0.672 |
Spatial Grain |
0.65 |
-0.012 |
0.005 |
-2.122 |
0.035 |
Spatial Grain |
0.75 |
-0.019 |
0.009 |
-2.062 |
0.040 |
Spatial Grain |
0.85 |
-0.055 |
0.021 |
-2.601 |
0.010 |
Spatial Grain |
0.95 |
-0.102 |
0.024 |
-4.275 |
0.000 |
Spatial extent |
0.05 |
0.029 |
0.008 |
3.468 |
0.001 |
Spatial extent |
0.15 |
0.032 |
0.009 |
3.554 |
0.000 |
Spatial extent |
0.25 |
0.023 |
0.010 |
2.329 |
0.020 |
Spatial extent |
0.35 |
0.019 |
0.010 |
1.773 |
0.077 |
Spatial extent |
0.45 |
0.024 |
0.011 |
2.195 |
0.029 |
Spatial extent |
0.55 |
0.027 |
0.011 |
2.536 |
0.012 |
Spatial extent |
0.65 |
0.023 |
0.010 |
2.170 |
0.031 |
Spatial extent |
0.75 |
0.016 |
0.011 |
1.464 |
0.144 |
Spatial extent |
0.85 |
0.012 |
0.011 |
1.120 |
0.263 |
Spatial extent |
0.95 |
0.030 |
0.010 |
2.863 |
0.004 |
Global Spatial Extent |
0.05 |
0.000 |
0.002 |
0.000 |
1.000 |
Global Spatial Extent |
0.15 |
0.000 |
0.003 |
0.000 |
1.000 |
Global Spatial Extent |
0.25 |
0.000 |
0.004 |
0.000 |
1.000 |
Global Spatial Extent |
0.35 |
0.000 |
0.004 |
0.000 |
1.000 |
Global Spatial Extent |
0.45 |
0.000 |
0.005 |
0.000 |
1.000 |
Global Spatial Extent |
0.55 |
0.000 |
0.005 |
0.000 |
1.000 |
Global Spatial Extent |
0.65 |
0.002 |
0.004 |
0.383 |
0.702 |
Global Spatial Extent |
0.75 |
0.039 |
0.011 |
3.492 |
0.001 |
Global Spatial Extent |
0.85 |
0.052 |
0.016 |
3.323 |
0.001 |
Global Spatial Extent |
0.95 |
0.075 |
0.039 |
1.946 |
0.053 |
Species |
0.05 |
0.000 |
0.004 |
0.000 |
1.000 |
Species |
0.15 |
-0.007 |
0.004 |
-1.650 |
0.100 |
Species |
0.25 |
-0.004 |
0.005 |
-0.747 |
0.456 |
Species |
0.35 |
0.000 |
0.005 |
0.000 |
1.000 |
Species |
0.45 |
0.000 |
0.005 |
0.000 |
1.000 |
Species |
0.55 |
0.000 |
0.006 |
0.000 |
1.000 |
Species |
0.65 |
0.005 |
0.006 |
0.852 |
0.395 |
Species |
0.75 |
0.010 |
0.006 |
1.683 |
0.093 |
Species |
0.85 |
0.015 |
0.007 |
2.142 |
0.033 |
Species |
0.95 |
0.022 |
0.014 |
1.565 |
0.119 |
Factors |
0.05 |
0.000 |
0.003 |
0.000 |
1.000 |
Factors |
0.15 |
0.000 |
0.001 |
0.000 |
1.000 |
Factors |
0.25 |
0.000 |
0.002 |
0.000 |
1.000 |
Factors |
0.35 |
0.000 |
0.002 |
0.000 |
1.000 |
Factors |
0.45 |
0.007 |
0.002 |
4.036 |
0.000 |
Factors |
0.55 |
0.006 |
0.002 |
3.163 |
0.002 |
Factors |
0.65 |
0.000 |
0.002 |
0.000 |
1.000 |
Factors |
0.75 |
0.007 |
0.002 |
3.393 |
0.001 |
Factors |
0.85 |
0.000 |
0.004 |
0.000 |
1.000 |
Factors |
0.95 |
0.000 |
0.004 |
0.000 |
1.000 |
Treatment Combinations |
0.05 |
0.000 |
0.002 |
0.000 |
1.000 |
Treatment Combinations |
0.15 |
0.010 |
0.004 |
2.570 |
0.011 |
Treatment Combinations |
0.25 |
0.012 |
0.004 |
3.224 |
0.001 |
Treatment Combinations |
0.35 |
0.000 |
0.003 |
0.000 |
1.000 |
Treatment Combinations |
0.45 |
0.000 |
0.004 |
0.000 |
1.000 |
Treatment Combinations |
0.55 |
0.008 |
0.003 |
2.367 |
0.019 |
Treatment Combinations |
0.65 |
0.011 |
0.003 |
3.248 |
0.001 |
Treatment Combinations |
0.75 |
0.016 |
0.004 |
4.226 |
0.000 |
Treatment Combinations |
0.85 |
0.022 |
0.004 |
5.573 |
0.000 |
Treatment Combinations |
0.95 |
0.015 |
0.007 |
2.077 |
0.039 |