Nantel, P. & Gagnon, D. (1999) Variability in the dynamics of northern peripheral versus southern core populations of two clonal plant species, Helianthus divaricatus and Rhus aromatica. 87, 748-760.
Appendix 1. Elasticity matrices of two northern (Eardley Escarpment, Gatineau Park, Québec) and two southern populations (Pinery Park, Ontario) of Helianthus divaricatus, for the 1992-93 and 1993-94 transition intervals.
Size-class (state) Size-class (state)
|
FATE |
1 |
2 |
3 |
4 |
1 |
2 |
3 |
4 |
Northern-1 1992-93 1993-94
|
1 |
0.010 |
0.006 |
0.002 |
0.003 |
0.026 |
0.026 |
0.003 |
0.000 |
|
|
2 |
0.011 |
0.071 |
0.034 |
0.014 |
0.029 |
0.209 |
0.080 |
0.011 |
|
|
3 |
0.000 |
0.049 |
0.363 |
0.105 |
0.000 |
0.056 |
0.407 |
0.059 |
|
|
4 |
0.000 |
0.005 |
0.117 |
0.211 |
0.000 |
0.038 |
0.032 |
0.025 |
|
|
TOTAL |
0.021 |
0.130 |
0.517 |
0.333 |
0.055 |
0.328 |
0.522 |
0.095 |
Northern-2 1992-93 1993-94
|
1 |
0.041 |
0.015 |
0.005 |
0.002 |
0.013 |
0.015 |
0.001 |
0.000 |
|
|
2 |
0.022 |
0.130 |
0.038 |
0.014 |
0.012 |
0.111 |
0.066 |
0.003 |
|
|
3 |
0.000 |
0.059 |
0.480 |
0.059 |
0.004 |
0.066 |
0.542 |
0.055 |
|
|
4 |
0.000 |
0.000 |
0.075 |
0.060 |
0.000 |
0.000 |
0.058 |
0.056 |
|
|
TOTAL |
0.062 |
0.204 |
0.599 |
0.135 |
0.028 |
0.191 |
0.667 |
0.114 |
Southern-1 1992-93 1993-94
|
1 |
0.005 |
0.009 |
0.005 |
0.000 |
0.002 |
0.001 |
0.003 |
0.000 |
|
|
2 |
0.014 |
0.151 |
0.100 |
0.024 |
0.004 |
0.075 |
0.087 |
0.004 |
|
|
3 |
0.000 |
0.129 |
0.475 |
0.026 |
0.000 |
0.090 |
0.618 |
0.047 |
|
|
4 |
0.000 |
0.000 |
0.050 |
0.013 |
0.000 |
0.004 |
0.047 |
0.020 |
|
|
TOTAL |
0.019 |
0.288 |
0.630 |
0.063 |
0.006 |
0.170 |
0.754 |
0.071 |
Southern-2 1992-93 1993-94
|
1 |
0.007 |
0.019 |
0.000 |
0.000 |
0.043 |
0.033 |
0.007 |
0.000 |
|
|
2 |
0.016 |
0.107 |
0.163 |
0.003 |
0.041 |
0.229 |
0.149 |
0.008 |
|
|
3 |
0.003 |
0.163 |
0.426 |
0.043 |
0.000 |
0.152 |
0.281 |
0.022 |
|
|
4 |
0.000 |
0.000 |
0.046 |
0.004 |
0.000 |
0.012 |
0.018 |
0.006 |
|
|
TOTAL |
0.019 |
0.288 |
0.630 |
0.063 |
0.083 |
0.426 |
0.454 |
0.036 |
Appendix 2. Elasticity matrices of two northern (Eardley Escarpment, Gatineau Park, Québec) and two southern (Pinery Park, Ontario) populations of Rhus aromatica for the 1992-93 and 1993-94 transition intervals.
Size-class (state) Size-class (state)
|
FATE |
1 |
2 |
3 |
4 |
5 |
6 |
1 |
2 |
3 |
4 |
5 |
6 |
Northern-1 1992-93 1993-94
|
1 |
0.006 |
0.000 |
0.004 |
0.008 |
0.015 |
0.018 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.004 |
|
|
2 |
0.012 |
0.019 |
0.013 |
0.008 |
0.013 |
0.022 |
0.001 |
0.001 |
0.000 |
0.000 |
0.001 |
0.000 |
|
|
3 |
0.023 |
0.047 |
0.019 |
0.005 |
0.007 |
0.031 |
0.003 |
0.002 |
0.003 |
0.005 |
0.004 |
0.000 |
|
|
4 |
0.011 |
0.022 |
0.060 |
0.074 |
0.012 |
0.016 |
0.000 |
0.000 |
0.008 |
0.044 |
0.010 |
0.010 |
|
|
5 |
0.000 |
0.000 |
0.027 |
0.091 |
0.080 |
0.028 |
0.000 |
0.000 |
0.006 |
0.019 |
0.079 |
0.047 |
|
|
6 |
0.000 |
0.000 |
0.008 |
0.007 |
0.099 |
0.195 |
0.000 |
0.000 |
0.000 |
0.004 |
0.058 |
0.691 |
|
|
TOTAL |
0.052 |
0.087 |
0.131 |
0.194 |
0.226 |
0.310 |
0.004 |
0.003 |
0.017 |
0.072 |
0.151 |
0.752 |
Northern-2 1992-93 1993-94
|
1 |
0.019 |
0.002 |
0.002 |
0.017 |
0.004 |
0.000 |
0.020 |
0.015 |
0.018 |
0.016 |
0.003 |
0.000 |
|
|
2 |
0.015 |
0.078 |
0.010 |
0.005 |
0.004 |
0.002 |
0.010 |
0.075 |
0.036 |
0.024 |
0.000 |
0.001 |
|
|
3 |
0.011 |
0.033 |
0.185 |
0.040 |
0.005 |
0.002 |
0.042 |
0.037 |
0.174 |
0.075 |
0.000 |
0.002 |
|
|
4 |
0.000 |
0.000 |
0.079 |
0.305 |
0.013 |
0.003 |
0.000 |
0.019 |
0.103 |
0.259 |
0.016 |
0.000 |
|
|
5 |
0.000 |
0.000 |
0.000 |
0.032 |
0.119 |
0.000 |
0.000 |
0.000 |
0.000 |
0.022 |
0.026 |
0.000 |
|
|
6 |
0.000 |
0.000 |
0.000 |
0.000 |
0.006 |
0.012 |
0.000 |
0.000 |
0.000 |
0.000 |
0.003 |
0.005 |
|
|
TOTAL |
0.044 |
0.113 |
0.275 |
0.399 |
0.151 |
0.018 |
0.072 |
0.146 |
0.330 |
0.396 |
0.048 |
0.008 |
Southern-1 1992-93 1993-94
|
1 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
2 |
0.000 |
0.003 |
0.000 |
0.000 |
0.000 |
0.004 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
3 |
0.000 |
0.004 |
0.002 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.001 |
0.000 |
0.000 |
|
|
4 |
0.000 |
0.000 |
0.004 |
0.010 |
0.001 |
0.000 |
0.000 |
0.000 |
0.001 |
0.012 |
0.002 |
0.004 |
|
|
5 |
0.000 |
0.000 |
0.000 |
0.004 |
0.068 |
0.019 |
0.000 |
0.000 |
0.000 |
0.006 |
0.061 |
0.020 |
|
|
6 |
0.000 |
0.000 |
0.000 |
0.000 |
0.022 |
0.858 |
0.000 |
0.000 |
0.000 |
0.000 |
0.024 |
0.870 |
|
|
TOTAL |
0.000 |
0.007 |
0.006 |
0.015 |
0.091 |
0.880 |
0.000 |
0.000 |
0.001 |
0.018 |
0.087 |
0.894 |
Southern-2 1992-93 1993-94
|
1 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.001 |
|
|
2 |
0.000 |
0.041 |
0.000 |
0.000 |
0.000 |
0.006 |
0.001 |
0.004 |
0.000 |
0.000 |
0.000 |
0.004 |
|
|
3 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
0.005 |
0.033 |
0.004 |
0.000 |
0.011 |
|
|
4 |
0.000 |
0.006 |
0.000 |
0.022 |
0.001 |
0.000 |
0.000 |
0.000 |
0.021 |
0.333 |
0.019 |
0.000 |
|
|
5 |
0.000 |
0.000 |
0.000 |
0.006 |
0.009 |
0.000 |
0.000 |
0.000 |
0.000 |
0.032 |
0.091 |
0.034 |
|
|
6 |
0.000 |
0.000 |
0.000 |
0.000 |
0.006 |
0.904 |
0.000 |
0.000 |
0.000 |
0.004 |
0.046 |
0.355 |
|
|
TOTAL |
0.000 |
0.046 |
0.000 |
0.028 |
0.016 |
0.910 |
0.001 |
0.009 |
0.054 |
0.373 |
0.156 |
0.406 |