Appendix J. Elasticity matrices of the Conch Reef summary matrices A(00-03) and A(03-06); and a figure depicting total elasticity for each size class.
TABLE J1. Elasticity matrices of the Conch Reef summary matrices A(00-03) and A(03-06). Large elasticities indicate transitions that have proportionately large effects on λ when perturbed. Elasticities greater than 0.01 are shown in bold. Elasticities for each column were summed to calculate total elasticity of each size class (Figure J1).
Conch Reef 2000–2003 |
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|
Size class |
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Size class |
Base |
I |
II |
III |
IV |
V |
Base |
0.0128 |
0 |
0.0003 |
0.0003 |
0.0035 |
0 |
I |
0.0006 |
0.0004 |
0 |
0 |
0 |
0 |
II |
0.0009 |
0.0006 |
0.0047 |
0.0021 |
0 |
0 |
III |
0.0010 |
0 |
0.0032 |
0.0175 |
0.0060 |
0 |
IV |
0.0017 |
0 |
0 |
0.0079 |
0.1631 |
0.0380 |
V |
0 |
0 |
0 |
0 |
0.0380 |
0.6975 |
Conch Reef 2003–2006 |
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|
Size class |
|||||
Size class |
Base |
I |
II |
III |
IV |
V |
Base |
0.1142 |
0 |
0.0013 |
0.0039 |
0.0081 |
0.0181 |
I |
0.0136 |
0.0196 |
0.0015 |
0 |
0 |
0 |
II |
0.0088 |
0.0151 |
0.0490 |
0.0057 |
0 |
0 |
III |
0 |
0 |
0.0267 |
0.0596 |
0.0094 |
0 |
IV |
0.0051 |
0 |
0 |
0.0265 |
0.0953 |
0.0153 |
V |
0.0040 |
0 |
0 |
0 |
0.0294 |
0.4695 |
|
| FIG. J1. Total elasticity for each stage of Xestospongia muta over 2000–2003 and 2003–2006 for the Conch Reef summary matrices A(00-03) and A(03-06). Total elasticities were calculated as the sum of all elasticities for each stage from elasticity matrices (Table J1). |