. Author manuscript; available in PMC: 2014 Mar 1.

Published in final edited form as: Scand Stat Theory Appl. 2012 Jul 26;40(1):119–137. doi: 10.1111/j.1467-9469.2012.00795.x

Table 1.

Estimates of β, ψ and R² and maximal values of the composite likelihoods CL₁ and CL₂. For each species, the first four rows in the last three columns correspond to the log linear model with Gaussian, Cauchy, Matérn and LG-Matérn covariance functions. The next four rows are for the additive model with the same covariance models. For LG-Matérn, abusing notation, ψ̂ denotes the parameter estimate for the covariance function of the Gaussian field Y. In the first column, the estimate ρ̂ is given by N(W)/|W|. The second column also shows estimates of ${\hat{σ}}_{exp \tilde{Z}}^{2}$ and ${\hat{σ}}_{\tilde{Z}}^{2}$ .

Species

β̂_1:2/CL₁(β̂)

\hat{ψ} = ({\hat{σ}}_{0}^{2}, \hat{η}, \hat{ν})

CL₂(ψ̂|β̂) – C

R²

(0.02, 0.005)

(13.7, 4.4, ∞)

27438.39

0.01

(11.9, 4.9, –)

28744.97

0.01

−4117.7

(8.5, 4.7, 0.69)

28507.05

0.01

Acalypha

{\hat{σ}}_{exp \tilde{Z}}^{2} = 0.13 \times 10^{- 6}

(2.4, 5.6, 1.02)

28675.13

0.01

(15.5, 4.9)×10⁻⁶

(11.6×10⁻⁶, 4.1, ∞)

0.01

(8.1×10⁻⁶, 5.2, –)

1724.32

0.01

ρ̂ = 1056×10⁻⁶

−4119.7

(6.1×10⁻⁶, 5.8, 0.56)

1128.50

0.02

C = −6291053.0

{\hat{σ}}_{\tilde{Z}}^{2} = 0.11 \times 10^{- 6}

(6.1×10⁻⁶, 5.8, 0.56)

1128.50

0.02

(−0.03, −0.16)

(1.1, 28.4, ∞)

82006.98

0.11

(1.8, 18.4, –)

82174.76

0.07

−6117.6

(2.0, 14.0, 0.65)

82326.85

0.06

Lonchocarpus

{\hat{σ}}_{exp \tilde{Z}}^{2} = 0.45 \times 10^{- 6}

(1.1, 14.8, 0.86)

82344.08

0.06

(−38.2, −193.3)×10⁻⁶

(1.5×10⁻⁶, 36.6, ∞)

0.17

(2.1×10⁻⁶, 27.4, –)

934.78

0.12

ρ̂ = 1672×10⁻⁶

−6121.9

(2.8×10⁻⁶, 23.1, 0.41)

702.26

0.09

C = −6168628.5

{\hat{σ}}_{\tilde{Z}}^{2} = 0.29 \times 10^{- 6}

(2.8×10⁻⁶, 23.1, 0.41)

702.26

0.09

(0.03, 0.004)

(0.25, 69.8, ∞)

5012.70

0.28

(0.43, 43.1, –)

5223.48

0.18

−19693.0

(0.76, 48.2, 0.22)

5342.78

0.11

Capparis

{\hat{σ}}_{exp \tilde{Z}}^{2} = 4.84 \times 10^{- 6}

(0.59, 49.7, 0.26)

5361.99

0.11

(193.2, 24.8)×10⁻⁶

(10.0×10⁻⁶, 70.2, ∞)

0.29

(15.0×10⁻⁶, 48.7, –)

285.51

0.21

ρ̂ = 6598×10⁻⁶

−19700.1

(28.8×10⁻⁶, 51.6, 0.21)

466.02

0.12

C = −5089810.54

{\hat{σ}}_{\tilde{Z}}^{2} = 4.06 \times 10^{- 6}

(28.8×10⁻⁶, 51.6, 0.21)

466.02

0.12