Species-specific, pan-European diameter increment models based on data of 2.3 million trees

Schelhaas, Mart-Jan; Hengeveld, Geerten M; Heidema, Nanny; Thürig, Esther; Rohner, Brigitte; Vacchiano, Giorgio; Vayreda, Jordi; Redmond, John; Socha, Jarosław; Fridman, Jonas; Tomter, Stein; Polley, Heino; Barreiro, Susana; Nabuurs, Gert-Jan

doi:10.1186/s40663-018-0133-3

Forest Ecosystems

Table 3 Selected variables and parameter estimates per species group. For abbreviations of variables see Appendix 2

From: Species-specific, pan-European diameter increment models based on data of 2.3 million trees

	Abies spp.			Larix spp.			Picea abies			Picea sitchensis
		θ _i,1	θ _i,2		θ _i,1	θ _i,2		θ _i,1	θ _i,2		θ _i,1	θ _i,2
c		6.65E–01	–1.13E–01		3.58E–01	−5.34E–02		− 1.80E + 00	2.94E–01		5.13E–01	−7.59E–02
X1	F-lnBA	−6.10E–02	9.12E–03	F-BA	9.60E–04	−1.59E–04	F-lnBA	−5.07E–02	7.70E–03	F-BA	− 1.79E–03	2.88E–04
X2	F-rDiffDq	1.36E–02	−2.07E–03	F-lnBA	−8.61E–02	1.37E–02	F-rDiffDq	5.90E–03	−9.13E–04	F-lnBA	−3.90E–02	5.65E–03
X3	W-MaT	3.35E–03	−4.90E–04	W–MaT	3.77E–03	−5.82E–04	W-MaT	6.34E–04	−5.79E–05	F-rDiffDq	6.23E–02	−9.29E–03
X4	W-TaR	1.15E–06	−8.65E–07	W-TaR	−3.61E–05	5.11E–06	W-TaP	1.87E–06	−6.67E–08	W-aTR	−1.10E–02	1.67E–03
X5	W-aTR	−2.83E–03	4.20E–04	W-SDmR	2.85E–04	−3.92E–05	W-aTR	3.06E–04	−6.98E–05	W-MweqR	2.21E–04	−3.50E–05
X6	W-SDmR	2.33E–05	3.22E–06	W-MweqR	4.46E–05	−7.37E–06	W-MweqT	8.21E–04	−1.26E–04	C-TwaqP	−5.48E–04	8.90E–05
X7	W-MwaqP	3.56E–04	−5.39E–05	C-TaAET	1.12E–04	−1.74E–05	C-TaP	3.30E–05	−5.56E–06
X8	C-MaT	−1.62E–04	2.97E–05	C-seaP	2.76E–04	−3.87E–05	C-ISO	1.52E–03	− 1.58E–04
X9	C-TaP	−9.37E–05	1.31E–05	S-PHIHOX	−4.41E–04	5.31E–05	C-MaDR	−7.93E–04	9.44E–05
X10	C-TaAET	1.29E–04	−2.03E–05	D-DepRedN	−2.30E–05	3.89E–06	C-seaPET	−5.91E–06	1.50E–06
X11	C-MaDR	−8.56E–05	2.38E–05	D-DepOxN	−2.65E–05	3.80E–06	C-Ari	−1.43E–06	2.26E–07
X12	C-seaP	−9.66E–04	1.34E–04				C-MwamT	6.73E–04	−1.10E–04
X13	C-MwemP	2.15E–04	−2.19E–05				C-MweqT	−5.30E–05	7.78E–06
X14	C-MweqT	−8.95E–05	1.21E–05				S-BLD	6.77E–05	−1.06E–05
X15	S-BLD	1.46E–05	−1.69E–06				S-BDRICM	9.98E–05	−1.25E–05
X16	S-CRFVOL	−4.75E–04	6.38E–05
X17	S-BDRICM	3.34E–04	−4.84E–05
X18	D-DepOxN	−1.63E–05	1.84E–06
X19	D-DepOxS	2.41E–06	−2.49E–07
	Pseudotsuga menziesii			Pinus nigra + mugo			Other indigenous pines			Pinus sylvestris
		θ _i,1	θ _i,2		θ _i,1	θ _i,2		θ _i,1	θ _i,2		θ _i,1	θ _i,2
c		2.44E + 00	−3.70E–01		5.86E–01	−9.12E–02		5.36E–01	−8.42E–02		2.45E + 00	−3.76E–01
X1	F-lnBA	−8.26E–02	1.23E–02	F-BA	−1.90E–04	2.24E–05	F-BA	−9.62E–04	1.60E–04	F-BA	−1.34E–04	1.75E–05
X2	F-rDiffDq	6.35E–02	−9.66E–03	F-lnBA	−3.09E–02	5.06E–03	F-lnBA	−2.10E–02	3.05E–03	F-lnBA	−4.77E–02	7.73E–03
X3	C-MaT	−7.39E–04	1.13E–04	W-TaP	−1.49E–05	3.03E–06	F-rDiffDq	−5.77E–03	1.17E–03	F-rDiffDq	1.62E–02	−2.39E–03
X4	C-TaAET	4.11E–05	−5.45E–06	W-aTR	−4.02E–03	5.98E–04	W-MaT	6.00E–03	−8.98E–04	W-MaT	−1.21E–03	2.18E–04
X5	S-CRFVOL	7.72E–04	−1.19E–04	W-MINmPET	−2.45E–03	3.83E–04	W-TaR	3.82E–06	−1.02E–06	W-TaP	−1.44E–05	2.94E–06
X6				W-MdrqT	1.51E–03	−2.18E–04	W-aTR	−3.38E–03	5.52E–04	W-aTR	−3.17E–04	4.57E–06
X7				W-MweqR	−1.56E–04	2.43E–05	W-MINmPET	−1.76E–03	2.60E–04	W-ARi	−1.32E–03	−3.32E–04
X8				C-seaT	−2.33E–05	3.56E–06	W-MweqT	−4.60E–03	7.38E–04	W-SDmP	4.43E–04	−6.87E–05
X9				C-ISO	9.18E–04	−1.28E–04	W-MweqR	−4.05E–06	−8.03E–07	W-MINmP	−5.34E–04	8.22E–05
X10				C-MweqT	−1.30E–04	2.08E–05	C-TaPET	4.84E–05	−6.69E–06	W-McoqP	7.19E–05	−8.80E–06
X11				S-PHIHOX	−1.47E–03	2.23E–04	C-seaP	−8.93E–04	1.62E–04	C-TaAET	1.57E–04	−2.47E–05
X12				S-ORCDRC	−4.82E–04	7.43E–05	C-MweqT	−3.15E–04	5.12E–05	C-MaDR	−5.63E–04	6.90E–05
X13				D-DepRedN	−1.87E–05	3.11E–06	S-SLTPPT	−5.94E–04	1.32E–04	C-seaP	−3.60E–04	6.77E–05
X14							S-CEC	1.40E–03	−2.57E–04	C-seaPET	2.81E–05	−3.97E–06
X15							S-PHIHOX	−4.49E–03	7.25E–04	C-ThARi	1.61E–03	−2.61E–04
X16							S-ORCDRC	−7.32E–04	1.23E–04	C-MwamT	−8.09E–04	1.25E–04
X17							S-CRFVOL	−8.61E–04	1.34E–04	C-MweqT	7.75E–05	−1.22E–05
X18							D-DepOxN	5.93E–05	−9.84E–06	C-TwaqP	2.14E–05	−5.36E–06
X19							D-DepOxS	−1.20E–05	2.21E–06	S-CLYPPT	1.18E–03	−2.04E–04
X20										S-CEC	−7.36E–04	1.25E–04
X21										S-PHIHOX	−1.88E–03	2.98E–04
X22										S-ORCDRC	3.11E–05	−1.09E–05
X23										S-BDRICM	0.000117916	−1.93E–05
X24										D-DepRedN	8.31E–07	−5.66E–08
X25										D-DepOxN	7.32E–06	−1.28E–06
	Other conifers			Betula spp.			Broadleaves longlived			Broadleaves shortlived
		θ _i,1	θ _i,2		θ _i,1	θ _i,2		θ _i,1	θ _i,2		θ _i,1	θ _i,2
c		4.28E–01	−6.48E–02		−2.87E–01	4.87E–02		2.71E–01	−4.01E–02		1.13E–01	−2.10E–02
X1	F-BA	−3.18E–03	4.79E–04	F-BA	−1.09E–03	2.00E–04	F-lnBA	−2.66E–02	4.05E–03	F-lnBA	−3.18E–02	4.67E–03
X2	F-rDiffDq	1.85E–02	−2.77E–03	F-lnBA	−1.04E–02	9.42E–04	W-MaT	2.07E–03	−2.77E–04	W-aTR	3.23E–03	−6.25E–04
X3	W-MaT	−3.23E–03	1.03E–03	F-rDiffDq	5.70E–03	−6.83E–04	W-TaR	−1.67E–05	2.41E–06	W-SDmPET	−1.93E–03	3.08E–04
X4	W-TaR	−2.88E–05	2.75E–06	W-MaT	2.28E–03	−3.14E–04	W-aTR	−4.52E–03	6.69E–04	W-SDmR	2.28E–04	−3.25E–05
X5	W-MaDR	7.36E–03	−1.12E–03	W-aTR	2.75E–03	−4.86E–04	W-ISO	−6.38E–02	8.32E–03	C-TaP	9.83E–05	−1.79E–05
X6	W-ThHUi	1.21E–04	−1.29E–05	W-MaDR	1.65E–03	−2.93E–04	C-aTR	3.11E–04	−5.04E–05	C-TaAET	−2.38E–05	6.85E–06
X7	W-SDmR	−1.82E–03	3.01E–04	W-ARi	−5.58E–03	7.71E–04	C-seaPET	−9.14E–06	1.63E–06	C-ARi	−5.32E–06	9.86E–07
X8	W-MweqT	8.80E–03	−1.67E–03	W-SDmPET	−6.57E–04	8.35E–05	C-MweqT	−7.00E–05	1.12E–05	C-MaDR	1.83E–04	−4.53E–05
X9	W-MweqR	−2.44E–04	4.53E–05	W-SDmR	2.19E–04	−2.80E–05	S-CLYPPT	−1.31E–03	2.04E–04	C-seaP	−5.17E–04	7.30E–05
X10	C-MaDR	8.02E–04	−1.36E–04	C-seaP	−6.96E–04	1.18E–04	S-SLTPPT	9.24E–04	−1.37E–04	C-seaPET	−1.17E–05	2.87E–06
X11	C-seaP	2.54E–03	−3.87E–04	C-ThARi	2.16E–03	−3.50E–04	S-CEC	−6.14E–04	9.11E–05	C-ThARi	5.40E–04	−8.44E–05
X12	C-MweqT	−3.90E–04	5.05E–05	C-Tmm0P	8.94E–05	−1.52E–05	S-CRFVOL	−7.39E–04	1.16E–04	S-CEC	−9.07E–04	1.40E–04
X13	D-DepOxN	1.54E–04	−2.29E–05	C-TwaqP	2.64E–04	−3.95E–05	S-BDRICM	4.46E–05	−6.12E–06	S-PHIHOX	−1.59E–04	5.27E–05
X14				S-SLTPPT	3.34E–04	−5.11E–05	D-DepRedN	1.79E–05	−2.57E–06	S-BLD	2.72E–05	−4.41E–06
X15				S-BLD	1.08E–04	−1.75E–05				S-CRFVOL	−3.40E–04	3.71E–05
X16										S-BDRICM	1.87E–04	−2.29E–05
X17										D-DepRedN	8.21E–06	−1.15E–06
X18										D-DepOxN	−2.70E–05	4.28E–06
	Castanea sativa			Eucalyptus spp.			Fagus sylvatica			Populus plantations
		θ _i,1	θ _i,2		θ _i,1	θ _i,2		θ _i,1	θ _i,2		θ _i,1	θ _i,2
c		9.71E–01	−1.12E–01		−7.62E–01	4.22E–02		−4.53E–01	4.85E–02		5.08E–01	−7.29E–02
X1	F-BA	7.11E–04	−1.11E–04	F-BA	−1.67E–03	2.46E–04	F-BA	6.27E–04	−9.59E–05	F-lnBA	−6.96E–02	1.03E–02
X2	F-lnBA	−6.26E–02	9.43E–03	F-lnBA	−3.55E–02	5.21E–03	F-lnBA	−5.56E–02	8.38E–03	W-aTR	−9.81E–03	1.43E–03
X3	F-rDiffDq	−1.09E–02	1.50E–03	F-rDiffDq	−1.23E–02	8.33E–04	W-TaR	−1.10E–05	1.70E–06
X4	W-ISO	−7.33E–02	1.14E–02	W-MaT	1.53E–02	−2.88E–03	W-ISO	−1.23E–01	1.78E–02
X5	W-MINmP	5.37E–04	−9.91E–05	W-TaP	5.78E–05	−9.31E–06	W-MaDR	4.24E–03	−5.96E–04
X6	C-MwamT	−2.61E–04	2.78E–05	W-TaR	−7.71E–05	1.18E–05	W-ThHUi	6.90E–06	8.34E–08
X7	C-TcoqP	1.04E–04	−1.45E–05	C-Ti	1.26E–04	−9.33E–06	W-ThARi	2.69E–04	−4.46E–05
X8	S-BLD	3.53E–05	−5.17E–06	S-SLTPPT	−3.43E–04	1.38E–04	W-SDmPET	−4.54E–04	5.58E–05
X9	S-CRFVOL	−6.68E–04	9.19E–05				W-MweqT	9.60E–04	−1.40E–04
X10	D-DepRedN	2.63E–05	−3.67E–06				W-MdrqT	−3.73E–04	5.33E–05
X11							C-MaT	−2.74E–05	1.04E–05
X12							C-ISO	1.82E–03	−2.89E–04
X13							C-MINwamT	2.56E–04	−3.76E–05
X14							S-CLYPPT	−6.78E–04	1.05E–04
X15							S-SLTPPT	−5.87E–04	9.68E–05
X16							S-BLD	3.47E–05	−5.01E–06
X17							S-BDRICM	6.87E–05	−9.11E–06
X18							D-DepRedN	5.09E–06	−7.16E–07
X19							D-DepOxS	−3.39E–06	4.97E–07
	Quercus ilex			Quercus robur + petraea			Quercus suber			Robinia pseudoacacia
		θ _i,1	θ _i,2		θ _i,1	θ _i,2		θ _i,1	θ _i,2		θ _i,1	θ _i,2
c		1.72E–01	−2.68E–02		2.05E–01	−3.61E–02		1.09E + 00	−1.88E–01		2.24E–01	−3.30E–02
X1	F-lnBA	−8.96E–03	1.30E–03	F-BA	1.05E–03	−1.58E–04	F-lnBA	−1.39E–02	2.02E–03	F-lnBA	−4.99E–02	7.51E–03
X2	F-rDiffDq	−2.11E–02	3.10E–03	F-lnBA	−5.93E–02	8.93E–03	F-rDiffDq	−2.70E–02	3.89E–03	W-SDmP	3.35E–04	−4.12E–05
X3	W-MaDR	−2.12E–03	3.51E–04	F-rDiffDq	1.01E–03	−1.20E–05	C-MaT	−3.61E–04	6.31E–05
X4	W-MINmPET	−4.56E–04	6.33E–05	W-TaR	−7.46E–06	8.98E–07	S-comp	7.19E–03	−1.11E–03
X5	C-ISO	−1.60E–03	2.72E–04	W-MINmPET	1.18E–04	−8.25E–06	D-DepOxS	3.67E–06	−4.94E–07
X6	C-TaP	−6.10E–06	1.25E–06	C-TaPET	5.44E–05	−8.34E–06
X7	S-PHIHOX	−3.17E–04	4.18E–05	C-seaP	4.16E–04	−6.10E–05
X8	D-DepOxN	−1.33E–05	3.20E–06	C-MwamT	−3.02E–05	7.03E–06
X9				S-CEC	−8.33E–04	1.17E–04
X10				S-BLD	2.80E–05	−4.04E–06
X11				S-CRFVOL	−4.36E–04	5.94E–05
X12				S-BDRICM	2.34E–04	−3.72E–05
X13				D-DepOxN	4.34E–06	−5.10E–07

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