Ecological Archives M077-006-A1

Inés Ibáñez, James S. Clark, Shannon LaDeau, and Janneke Hille Ris Lambers. 2007. Exploiting temporal variability to understand tree recruitment response to climate change. Ecological Monographs 77:163–177.

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

No. observations (stands × plots × years)

2160
(4 × 60 × 9)

2700
(5 × 60 × 9)

2160
(4 × 60 × 9)

2160
(4 × 60 × 9)

3000
(5 × 60 × 10)

Seed viability

         

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

     alphavj(priors)

(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

     betavj (priors)

(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

Seed mortality

         

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

-

    alphadj(priors)

(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

-

   betadj(priors)

(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

-

Parameters below have similar initial values and priors for all the species

 

Light

         

 lightji (initial values)

results from Bayesian kriging from M.Dietze data taken in the summer of 2000.

 lowerLji(priors)

values calculated from kriging results (mean-6%).

upperLji (priors)

values calculated from kriging results (mean+6%).

Fixed effects
  alpha(initial values)1

(0.1,0,0,0,0)

   alpham(priors) 1

(0.1,0,0,0,0)

   v(priors) 1

Error term

       

epsilonjit(initial values)1

(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

tepsilon(initial values)1

1

1

1

1

1

Stand Random effects (betaj if associated with a fixed effect, muj otherwise)

   

muj(initial values)1

(0,0,0,0,)

(0,0,0,0,)

(0,0,0,0,)

(0,0,0,0,0)

(0,0,0,0,0)

   taumu(initial values)1

1

1

1

1

1

 

Plot random effects

       

phiji(initial values)1

(0,0,...)4 × 60

(0,0,...)5 × 60

(0,0,...)4 × 60

(0,0,...)4 × 60

(0,0,...)5 × 60

tauphi (initial values)1

1

1

1

1

1

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 86:88–95.




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