Appendix A. Priors and inital parameter values.
A. rubrum seed bank |
Betula spp. seed bank |
L. tulipifera seed bank |
N. sylvatica seed bank |
Q. rubra |
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No. observations (stands × plots × years) |
2160 |
2700 |
2160 |
2160 |
3000 |
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Seed viability |
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vj(initial values) |
(0.21,0.18,0.22,0.14)2 |
(0.8,0.14,0.26,0.53,0.01)2 |
(0.13,0.09,0.38,0.22)2 |
(0.5,0.5,0.5,0.5)1 |
(0.5,0.5,0.5,0.5,0.5)1 |
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|
(0.16,0.15,0.17,0.12)2 |
(0.65,0.13,0.24,0.47,0.01)2 |
(0.07,0.08,0.31,0.16)2 |
(1,1,1,1)1 |
(1,1,1,1,1)1 |
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|
(0.28,0.21,0.26,0.17)2 |
(0.88,0.15,0.28,0.59,0.01)2 |
(0.23,0.1,0.46,0.29)2 |
(1,1,1,1)1 |
(1,1,1,1,1)1 |
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Seed mortality |
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dj(initial values) |
(0.8,0.95,0.87,0.92)2 |
(0.81,0.63,0.41,0.61,0.67)2 |
(0.34,0.21,0.39,0.37)2 |
(0.5,0.5,0.5,0.5)1 |
- |
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|
(0.62,0.87,0.73,0.82)2 |
(0.76,0.6,0.39,0.57,0.64)2 |
(0.23,0.14,0.27,0.26)2 |
(1,1,1,1)1 |
- |
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|
(0.89,0.97,0.93,0.96)2 |
(0.85,0.66,0.44,0.65,0.7)2 |
(0.47,0.28,0.49,0.49)2 |
(1,1,1,1)1 |
- |
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Parameters below have similar initial values and priors for all the species |
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Light |
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lightji (initial values) |
results from Bayesian kriging from M.Dietze data taken in the summer of 2000. |
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lowerLji(priors) |
values calculated from kriging results (mean-6%). |
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upperLji (priors) |
values calculated from kriging results (mean+6%). |
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Fixed effects |
(0.1,0,0,0,0) |
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(0.1,0,0,0,0) |
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Error term |
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|
(0,0,...)4 × 60 × 9 |
(0,0,...)5 × 60 × 9 |
(0,0,...)4 × 60 × 9 |
(0,0,...)4 × 60 × 9 |
(0,0,...)5 × 60 × 10 |
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|
1 |
1 |
1 |
1 |
1 |
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Stand Random effects ( |
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|
(0,0,0,0,) |
(0,0,0,0,) |
(0,0,0,0,) |
(0,0,0,0,0) |
(0,0,0,0,0) |
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|
1 |
1 |
1 |
1 |
1 |
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Plot random effects |
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|
(0,0,...)4 × 60 |
(0,0,...)5 × 60 |
(0,0,...)4 × 60 |
(0,0,...)4 × 60 |
(0,0,...)5 × 60 |
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|
1 |
1 |
1 |
1 |
1 |
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j: stand subindex, A. rubrum, L. tulipifera, and N. sylvatica four stands (1,2,3,4); Betula spp. and Q. rubra all five stands.
i: plot subindex, 60 plots at each stand.
t: year subindex, nine years for species with a seed bank (A. rubrum, Betula spp. L. tulipifera, and N. sylvatica), and 10 years for Q. rubra, species without a seed bank.
1: non-informative priors. 2: prior parameter values from Hille Ris Lambers et al. (2005).
LITERATURE CITED
Hille Ris Lambers, J., J. S. Clark, and M. Lavine. 2005. Seed banking in temperate forests: Implications for recruitment limitation. Ecology 86:8895.