global change reduces long-term tree water use...

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Subtropical to boreal convergence of tree growth responses to atmospheric carbon dioxide Yan Xu 1* , Zhihong Xu 1* , Xuemei Shao 2 , Graham Farquhar 3 , Thomas Drouet 4 , Timothy J. Blumfield 1 , Putranto Nugroho 1 , Valérie Penninckx 4 , Sune Linder 5 , Chengyuan Xu 1 , Kevin Lee Griffin 6 , William Schuster 7 & Huijun Zhao 8 1 Environmental Futures Centre & School of Biomolecular and Physical Sciences, Griffith University, Nathan, Queensland 4111, Australia. 2 Institute of Geographical Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China. 3 Research School of Biology, Australian National University, Canberra, ACT 2601, Australia. 4 Laboratoire d'Ecologie végétale et Biogéochimie, Université Libre de Bruxelles, Brussels, Belgium. 5 Southern Swedish Forest Research Centre, Swedish University of Agricultural Sciences, SE-230 53, Alnarp, Sweden. 6 Lamont-Doherty Earth Observatory of Columbia University, 61 Route 9W, 6 Biology, Palisades, NY 10964 – 8000, USA. 7 Black Rock Forest Consortium, 65 Reservoir Road, Cornwell, NY 12518, USA. 8 Environmental Futures Centre & Griffith School of Environment, Griffith University, Gold Coast, Queensland 4222, Australia. *These authors contributed equally to this work. 1

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Page 1: Global change reduces long-term tree water use …blackrockforest.org/files/blackrock/content/res_pub_xu… · Web viewlinearly to rising CO 2, with mean annual temperature shown

Subtropical to boreal convergence of tree growth responses

to atmospheric carbon dioxide

Yan Xu1*, Zhihong Xu1*, Xuemei Shao2, Graham Farquhar3, Thomas Drouet4,

Timothy J. Blumfield1, Putranto Nugroho1, Valérie Penninckx4, Sune Linder5,

Chengyuan Xu1, Kevin Lee Griffin6, William Schuster7 & Huijun Zhao8

1Environmental Futures Centre & School of Biomolecular and Physical Sciences, Griffith University, Nathan,

Queensland 4111, Australia. 2Institute of Geographical Sciences and Natural Resources Research, Chinese

Academy of Sciences, Beijing 100101, China. 3Research School of Biology, Australian National University,

Canberra, ACT 2601, Australia. 4Laboratoire d'Ecologie végétale et Biogéochimie, Université Libre de Bruxelles,

Brussels, Belgium. 5Southern Swedish Forest Research Centre, Swedish University of Agricultural Sciences, SE-

230 53, Alnarp, Sweden. 6Lamont-Doherty Earth Observatory of Columbia University, 61 Route 9W, 6 Biology,

Palisades, NY 10964 – 8000, USA. 7Black Rock Forest Consortium, 65 Reservoir Road, Cornwell, NY 12518,

USA. 8Environmental Futures Centre & Griffith School of Environment, Griffith University, Gold Coast,

Queensland 4222, Australia.

*These authors contributed equally to this work.

Tree water-use efficiency (WUE) has increased in the past century under climate

change1-8, but this has not translated into globally enhanced tree growth4-5, 7-11.

The impact of climate change, particularly complex atmospheric carbon dioxide

(CO2), temperature and water interactions, on plant photosynthesis, WUE and

tree growth remains elusive1-13. Plant photosynthesis is an important biological

process, subject to either CO2 or water limitation globally, and there is a

subtropical to boreal convergence of tree-leaf temperatures14. Here we advance

an atmospheric CO2-water limitation model, which predicts enhanced tree WUE

with both rising atmospheric CO2 and water limitation, and show that tree

1

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growth of beech and oak in four temperate forest ecosystems of Belgium

responded non-linearly to rising atmospheric CO2 and water limitation due to

increasing mean annual temperature and decreasing summer rainfall during

1840s–1990s. It is the CO2 limitation and then CO2-induced water limitation, not

rising temperature itself, that regulate tree growth under climate change. This

model has been tested in other forest ecosystems of Australia, China, Sweden

and USA, highlighting the subtropical to boreal convergence of non-linear

responses of tree growth to rising atmospheric CO2 although the sensitivity and

magnitude of tree growth responses varied with both biotic (e.g. tree species and

aging) and abiotic factors (e.g. water and nitrogen availability). The tipping

points15-16 of atmospheric CO2 (range: 324–378 ppm) for these forest ecosystems

have occurred in the past 10–50 years, and thereafter tree growth has decreased

with rising atmospheric CO2. This results in a positive feedback to atmospheric

CO2, leading to accelerated global warming and increasing water limitation in

central Europe and elsewhere4-5, 7, 9-11.

Climate change, particularly rising atmospheric CO2 and global warming, has been

well established and this pattern is projected to intensify in the coming decades17-22.

However, the effects of complex atmospheric CO2, temperature and water interactions

on tree WUE and growth at both spatial and temporal scale are still not well

understood1-13, 23-26. Atmospheric CO2 is the single most important climate-relevant

greenhouse gas22, accounting for about 80% of non-condensed greenhouse gases in

the atmosphere at current temperatures, and makes a significant contribution to

current global warming17-22. Much progress has been made in our understanding of the

physical mechanisms governing the closely coupled atmospheric CO2 and temperature

2

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relationship17-22. However, the relationships between atmospheric CO2 and water

availability and between atmospheric temperature and precipitation are far less clear

and deserve much greater attention23-26. There is increasing evidence of more climate

extremes13, 23-27.

Recent research finding14 has highlighted that there is a subtropical to boreal

convergence of tree-leaf temperature at 21.4oC. Moreover, there is also a global

convergence in temperature sensitivity of respiration in terrestrial ecosystems28-29.

Despite the temperature convergence for plant photosynthesis at the leaf level14 and

for respiration at the ecosystem level28-29, there is a strong relationship between

photosynthesis and respiration in terrestrial ecosystems28. This highlights the

importance of plant photosynthesis in driving the dynamic CO2 exchange between the

atmosphere and the terrestrial ecosystems, and hence the feedback between the

changing climate and the terrestrial carbon cycle at both local and global scale.

Here we present a new conceptual framework of the atmospheric CO2-water

limitation model that regulates plant photosynthesis and tree growth during a growing

season under climate change as shown in Fig. 1. We hypothesize that despite the

complex atmospheric CO2, temperature and water interactions, it is directly the rising

atmospheric CO2 in the first CO2 limitation phase and then indirectly the CO2-induced

water limitation, resulting from the CO2-coupled warming and decreasing water

availability associated with the warming, that regulate tree growth. Based on this

model, the atmospheric CO2-driven plant photosynthesis and hence tree growth would

be largely independent of the increases in atmospheric mean annual temperature or

mean growing season temperature under global warming. The atmospheric CO2-water

limitation model also predicts that there is a critical point or tipping point of

atmospheric CO2 when tree growth peaks (Fig. 1). Before the tipping point of

3

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atmospheric CO2 is reached, the CO2 limitation controls tree growth which increases

with rising CO2. However, this CO2 fertilization effect decreases with increasing

water limitation since rising CO2 results in increasing temperature (positive feedback)

and decreasing water availability (negative feedback). The increasing water limitation

(particularly seasonal drying) then decreases tree growth and hence increases the

atmospheric CO2 (positive feedback).

Our study represents the first attempt to test the atmospheric CO2-water limitation

model. We attempt to quantify the impacts of complex atmospheric CO2, temperature

and water interactions on tree growth, using long-term records of tree growth and

stable isotope compositions (δ13C, δ15N and δ18O) in tree rings of beech and oak in

central and high Belgium (central Europe) in relation to atmospheric CO2 obtained

from East Antartica5, 30, mean annual temperature and summer rainfall during the 150-

year period between 1840s and 1990s (Supplementary Information). We also test the

atmospheric CO2-water limitation model with tree WUE, tree ring δ18O and growth

data of four different tree species in two temperate forest ecosystems of China. In

addition, the model has been tested with the atmospheric CO2 and long-term tree

growth data in other subtropical, temperate and boreal forest ecosystems of China,

Sweden and USA (Table 1, Table S1, Table S2 and Fig. S1).

Tree WUE for beech at two sites and oak at one site in central Belgium increased

linearly with rising atmospheric CO2 which accounts for 28–29% of the variation in

tree WUE (Fig. 2a, b and c), compared with linear increases in tree WUE from rising

atmospheric CO2 contributing to 35% of the tree WUE variation for beech and 11%

for oak at one site in high Belgium (Fig. 2d). When tree age and other abiotic factors

(particularly water availability as reflected by tree ring δ18O and nitrogen availability

4

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as indexed by tree ring δ15N) were included with atmospheric CO2, about 37–82% of

the variation in tree WUE could be accounted for (Table S2).

Tree growth in central Belgium, expressed as basal area increment, responded non-

linearly to rising atmospheric CO2 (Fig. 3a, b and c), with 41%, 66% and 58% of tree

growth explained by the atmospheric CO2 for the three sites respectively. This is

predicted by the atmospheric CO2-water limitation model (Fig. 1). Tree basal area

increment increased initially with rising atmospheric CO2, but peaked as the critical

CO2 was reached at 336–342 ppm (Fig. 3a, b and c). Tree basal area increment

decreased with rising CO2 after the critical CO2 was reached, since water limitation

(particularly seasonal drying) progressed as the growth limiting factor due to the

atmospheric warming coupled with the rising CO2 and decreasing summer or growing

season rainfall during the 1840s–1990s (Supplementary Information). It is important

to note that when both atmospheric CO2 and mean annual temperature were included

in the regression analysis for the three sites in central Belgium, only atmospheric CO2

was the significant variable and again tree growth responded non-linearly to rising

CO2, with the mean annual temperature being an insignificant variable. However,

mean summer or growing season rainfall or tree ring δ18O was significantly and

positively related to tree growth as basal area increment in central Belgium, in

addition to the atmospheric CO2 as the primary key driving variable.

Basal area increments for both beech and oak trees in high Belgium responded

non-linearly to rising atmospheric CO2 (R2 = 0.422 for the former and R2 = 0.727 for

the later). These peaked at the critical CO2 of 330 and 324 ppm for beech and oak

respectively, and decreased thereafter (Fig. 3d). When both atmospheric CO2 and

mean annual temperature were included in the regression analysis for high Belgium,

only atmospheric CO2 was the significant variable. Again tree growth responded non-

5

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linearly to rising CO2, with mean annual temperature shown to be an insignificant

variable.

We have tested the atmospheric CO2-water limitation model with tree growth data

for different species in the other subtropical, temperate and boreal forest ecosystems

of Australia, China, Sweden and USA, and there is a subtropical to boreal

convergence of non-linear responses of tree growth to rising atmospheric CO2 (R2

range: 0.087–0.648) (Table 1) although the sensitivity and magnitude of tree growth

responses varied with both biotic (e.g. tree species and age) and abiotic factors (e.g.

water and nitrogen availability) (Table S2). Tree WUE of four species in two

temperate forest ecosystems of China increased significantly with rising atmospheric

CO2 (R2 range: 0.532–0.816) (Fig. S2). Tree growth of two or three species in each of

the two temperate forest ecosystems of China was non-linearly related to tree WUE,

increasing initially with tree WUE due to the CO2 fertilization and then decreasing

with tree WUE due to the increasing water limitation (Fig. S3).

The significant non-linear relationships between tree growth and mean annual

temperature in central Belgium (Fig. S4a, b and c) are to be expected due to the

closely coupled positive relationship between atmospheric CO2 and mean annual

temperature (R2 = 0.614, n = 23, P < 0.001) or mean growing season temperature (R2

= 0.654, n = 23, P < 0.001) or mean maximum temperature (R2 = 0.615, n = 23, P <

0.001), and the significant negative relationship between mean summer rainfall in

central Belgium and mean growing season temperature (R2 = 0.197, n = 23, P <

0.001) or mean maximum temperature (R2 = 0.189, n = 23, P = 0.038).

Our results have demonstrated that tree growth of various species in the

subtropical, temperate and boreal forest ecosystems of Australia, China, Europe and

USA responded non-linearly to rising atmospheric CO2 as predicted by the

6

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atmospheric CO2-water limitation model (Fig. 1), with the tipping points5, 15-16 of

atmospheric CO2 (range: 324–378 ppm with a mean of 351 ppm) which have occurred

in the past 10–50 years. Our research findings are supported by the work5 with four

subtropical forest ecosystems in southern China, with the CO2 tipping points for tree

growth of Masson pine to be 340, 354, 355 and 373 ppm respectively (mean: 356

ppm). The overall average CO2 tipping point for tree growth among the subtropical,

temperate and boreal forest ecosystems is about 354 ppm, which is just above the

critical planetary boundary for atmospheric CO2 of 350 ppm15. There is recent

widespread tree growth decline in boreal and temperate forest ecosystems despite

increasing atmospheric CO2 and temperature which would be expected to increase

tree growth in these ecosystems4, 7. This unexpected widespread tree growth decline in

temperate and boreal forest ecosystems, following the initial positive CO2 fertilization

effect on tree growth, has been partly attributed to warming induced water stress4, 7.

METHODS SUMMARY

All tree growth data for various species in subtropical, temperate and boreal forest

ecosystems were obtained by either collecting tree discs (hoop pine in the subtropical

forest ecosystems of Australia and beech & oak in the temperate forest ecosystems of

Belgium) or tree ring cores for 3–23 trees of each species (Table S1 and Fig. S1).

Ring width with 0.01 mm or 0.001 cm precision was measured. Ring widths were

converted to annual basal area increments (BAI): BAI = π (Rn2 – Rn–1

2) = π (Rw2 + 2

Rn–1 Rw), where Rw and Rn–1 are the tree ring width between Rn and Rn–1, and radius for

the n–1 year prior to the tree ring formation respectively. For each disc or tree ring

core, wood samples representing 5-year growth intervals were cut off. All ice core

CO25, 30 and weather data were arranged to coincide with the corresponding 5-year

7

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intervals of individual tree discs or tree ring cores. Samples were analysed for tree

ring isotope compositions (δ13C, δ15N and δ18O) for each of the 3–6 trees per species in

temperate forest ecosystem of Belgium (δ13C, δ15N and δ18O) and China (δ13C and

δ18O). Tree WUE was calculated as reported previously1-5, 7. All tree ring isotopic and

growth data were checked for the normality and multiple regressions were performed,

using Statistix software (Version 8.0).

Full Methods and any associated references are available in the online

version of the paper.

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2. Duquesnay, A., Bréda, N., Stievenard, M. & Dupouey, J.L. Changes of tree-ring 13C and water-use

efficiency of beech (Fagus sylvatica L.) in north-eastern France during the past century. Plant Cell

Environ. 21, 565–572 (1998).

3. Saurer, M., Siegwolf, R.T.W. & Schweingruber, F.H. Carbon isotope discrimination indicates

improving water-use efficiency of trees in northern Eurasia over the last 100 years. Glob. Change

Biol. 10, 2109–2120 (2004).

4. Silva, L.C.R., Anand, M. & Leithead, M.D. Recent tree growth decline despite increasing

atmospheric CO2. PLoS ONE 5, doi: 10.1317/journal.pone.0011543 (2010).

5. Sun, F.F. et al. Long-term tree growth rate, water use efficiency and tree ring nitrogen isotope

composition of Pinus massoniana L. in response to global climate change and local nitrogen

deposition in Southern China. J. Soils Sediments 10, 1453–1465 (2010).

6. Loader, N.J. et al. Recent trends in the intrinsic water-use efficiency of ringless rainforest trees in

Borneo. Phil. Trans. R. Soc. B 366, 3330–3339 (2011).

7. Gómez-Guerrero, A. et al. Growth decline and divergent tree ring isotopic composition (13C and

18O) contradict predictions of CO2 stimulation in high altitude forests. Glob. Change Biol. 19, 1748–

1758 (2013).

8. Keenan, T.F. et al. Increase in forest water-use efficiency as atmospheric carbon dioxide

concentrations rise. Nature 499, 324–327 (2013).

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9. Johnson, S.E. & Abrams, M.D. Age class, longevity and growth rate relationships: protracted growth

increases in old trees in the eastern United States. Tree Physiol. 29, 1317–1328 (2009).

10. Xu, Z.H., Chen, C.R., He, J.Z. & Liu, J.X. Trends and challenges in soil research 2009: linking

global climate change to local long-term forest productivity. J. Soils Sediments 9, 83–88 (2009).

11. Zhao, M.S. & Running, S.W. Drought-induced reduction in global terrestrial net primary production

from 2000 through 2009. Science 329, 940–943 (2010).

12. Heimann, M. & Reichstein, M. Terrestrial ecosystem carbon dynamics and climate feedbacks.

Nature 451, 289–292 (2008).

13. Reichstein, M. et al. Climate extremes and the carbon cycle. Nature 500, 287–295 (2013).

14. Helliker, B.R. & Richter, S.L. Subtropical to boreal convergence of tree-leaf temperatures. Nature

454, 511–514 (2008).

15. Rockström, J. et al. A safe operating space for humanity. Nature 461, 472–475 (2009).

16. Scheffer, M. et al. Early-warning signals for critical transitions. Nature 461, 53–59 (2009).

17. Mann, M.E., Bradley, R.S. & Hughes, M.K. Global-scale temperature patterns and climate forcing

over the past six centuries. Nature 392, 779–787 (1998).

18. Hegerl, G.C., Crowley, T.J., Hyde, W.T. & Frame, D.J. Climate sensitivity constrained by

temperature reconstructions over the past seven centuries. Nature 440, 1029–1032 (2006).

19. Allen, M.R. et al. Warming caused by cumulative carbon emissions towards the trillionth tonne.

Nature 458, 1163–1166 (2009).

20. Matthews, H.R., Gillett, N.P., Stott, P.A. & Zickfeld, K. The proportionality of global warming to

cumulative carbon emissions. Nature 459, 829–832 (2009).

21. Frank, D.C. et al. Ensemble reconstruction constraints on the global carbon cycle sensitivity to

climate. Nature 463, 527–530 (2010).

22. Lacis, A.A., Schmidt, G.A., Rind, D. & Ruedy, R.A. Atmospheric CO2: Principle control knob

governing earth’s temperature. Science 330, 356–359 (2010).

23. Treydte, K.S. et al. The twentieth century was the wettest period in northern Pakistan over the past

millennium. Nature 440, 1179–1182 (2006).

24. Engelbrecht, B.M.J. et al. Drought sensitivity shapes species distribution patterns in tropical forests.

Nature 447, 80–82 (2007).

25. Jung, M. et al. Recent decline in the global land evapotranspiration trend due to limited moisture

supply. Nature 467, 951–954 (2010).

26. Schiermeier, Q. The real holes in climate science. Nature 463, 284–287 (2010).

27. Choat, B. et al. Global convergence in the vulnerability of forests to drought. Nature 491, 752–755

(2012).

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28. Mahecha, M.D. et al. Global convergence in the temperature sensitivity of respiration at ecosystem

level. Science 329, 838–840 (2010).

29. Yvon-Durocher, G. et al. Reconciling the temperature dependence of respiration across timescales

and ecosystem types. Nature 487, 472–476 (2012).

30. Etheridge, D.M. et al. Historical CO2 records from the Law Dome DE08, DE08-2 and DSS ice cores.

Carbon Dioxide Information Analysis Centre, Oak Ridge National Laboratory, US Department of

Energy, Oak Ridge, USA (1998).

Supplementary Information is available in the online version of the paper.

Acknowledgements We thank the Australian Research Council, Griffith University, Fonds National de

la Recherche Scientifique (FNRS, Belgium), National Basic Research Program of China, Chinese

Academy of Sciences (CAS), … for supporting this research. The weather data were provided by the

Institut Royal de Météorologie, Belgium. Drs Yong Zhang and Yang Wang of CAS Institute of

Geographical Sciences and Natural Resources Research, Beijing, China, assisted in sampling. Drs

Fangfang Sun and Ling Ma of CAS South China Botanical Garden, Guangzhou, China, and Ms Wenjing

Li and Mr Rene Diocares of Griffith University, assisted in tree ring isotope analyses. Drs Chengrong

Chen and Nina Prasolova of Griffith University, and Drs Zhengguo Shi and Xiaodong Yan of CAS in

Beijing, assisted in the data analyses and presentation.

Author Contributions Z.H.X. & Y.X. coordinated this study, data analyses and writing in close

consultation with X.M.S, G.F., T.D., T.J.B., P.N., V.P., S.L., C.Y.X., K.L.G., W.S. & H.J.Z. Y.X., X.M.S.,

T.D., T.J.B., P.N., V.P., C.Y.X., K.L.G. & W.S. contributed to the collection of tree growth and tree ring

isotopic and climatic data. G.F., S.L. and H.J.Z. contributed to the writing. All authors discussed the

results and commented on the manuscript.

Author Information The authors declare no competing financial interests. Reprints and permissions

information is available at www.nature.com/reprints. Correspondence and requests for materials should

be addressed to Z.H.X. ([email protected]).

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Table 1 | Tree growth responses to atmospheric carbon dioxide concentration ([CO2],

ppm) in subtropical, temperate and boreal forest ecosystems of Australia, China,

Sweden and USA

Sites Species

*

Regression equations*

Subtropical

Imbil,

Australia

HP BAI = - 633.2 + 3.80 [CO2] – 5.28 10-3 [CO2]2 (R2 = 0.466, n = 55, P <

0.001)

BP BAI = - 550.5 + 3.30 [CO2] – 4.85 10-3 [CO2]2 (R2 = 0.321, n = 45, P <

0.001)

Yarraman,

Australia

HP BAI = - 2446.2 + 14.4 [CO2] – 0.0210 [CO2]2 (R2 = 0.337, n = 58, P < 0.001)

BP BAI = - 893.8 + 5.09 [CO2] – 7.08 10-3 [CO2]2 (R2 = 0.481, n = 35, P <

0.001)

Tiantong,

China

MP BAI = - 709.4 + 4.44 [CO2] – 6.71 10-3 [CO2]2 (R2 = 0.166, n = 133, P <

0.001)

Temperate

Baishan,

China

NF BAI = - 409.1 + 2.32 [CO2] – 3.16 10-3 [CO2]2 (R2 = 0.591, n = 90, P <

0.001)

LS BAI = - 665.9 + 4.05 [CO2] – 5.93 10-3 [CO2]2 (R2 = 0.305, n = 172, P <

0.001)

KP BAI = - 831.5 + 4.90 [CO2] – 6.88 10-3 [CO2]2 (R2 = 0.617, n = 156, P <

0.001)

KL BAI = - 273.3 + 1.74 [CO2] – 2.49 10-3 [CO2]2 (R2 = 0.125, n = 155, P <

0.001)

Jingsong,

China

NF BAI = - 800.0 + 4.38 [CO2] – 5.80 10-3 [CO2]2 (R2 = 0.648, n = 65, P <

0.001)

LS BAI = - 678.1 + 3.87 [CO2] – 5.30 10-3 [CO2]2 (R2 = 0.495, n = 136, P <

0.001)

KP BAI = - 293.3 + 1.88 [CO2] – 2.77 10-3 [CO2]2 (R2 = 0.0874, n = 176, P <

0.001)

KL BAI = - 310.3 + 1.84 [CO2] – 2.51 10-3 [CO2]2 (R2 = 0.307, n = 113, P <

11

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0.001)

Hudson

highlands,

USA

Oak* BAI = - 438.8 + 2.47 [CO2] – 3.44 10-3 [CO2]2 (R2 = 0.223, n = 81, P <

0.001) (A1)

BAI = - 425.2 + 2.45 [CO2] – 3.42 10-3 [CO2]2 (R2 = 0.246, n = 145, P <

0.001) (A2)

BAI = - 807.8 + 4.68 [CO2] – 6.62 10-3 [CO2]2 (R2 = 0.437, n = 386, P <

0.001) (A3)

BAI = - 759.5 + 4.66 [CO2] – 6.88 10-3 [CO2]2 (R2 = 0.215, n = 268, P <

0.001) (A4)

Boreal

Kulbäcklide

ns, Sweden

SP BAI = - 51.3 + 0.306 [CO2] – 4.06 10-4 [CO2]2 (R2 = 0.237, n = 252, P <

0.001)

NS* BAI = - 272.9 + 1.70 [CO2] – 2.53 10-3 [CO2]2 (R2 = 0.475, n = 90, P <

0.001) (S1)

BAI = - 65.8 + 0.398 [CO2] – 5.73 10-4 [CO2]2 (R2 = 0.588, n = 146, P <

0.001) (S2)

*HP: Hoop pine (Araucaria cunninghamii); BP: Bunya pine (Araucaria bidwillii); MP: Masson pine (Pinus

massoniana); NF: Needle fir (Abies nephrolepis); LS: Little-seed spruce (Picea jezoensis); KP: Korean

pine (Pinus koraiensis); KL: Korean larch (Larix olgensis); Oak: Quercus rubra; SP: Scots pine (Pinus

sylvestris); NS: Norway spruce (Picea abies); BAI: basal area increment (cm2 yr-1); A1: age 35–40 years;

A2: age 64–72 years; A3: age 86–93 years; A4: age 130–145 years; S1: lower slope; and S2: upper

slope.

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Figure legends

Figure 1 | Conceptual framework of atmospheric carbon dioxide concentration

(CO2), temperature (T) and water (H2O) interactions and feedbacks in

controlling tree growth index (P) under climate change. Critical point of

atmospheric CO2 (CPCO2) is the CO2 when P peaks or when CO2 limitation index

(LCO2: 0 to 1) equals to H2O limitation index (LH2O: 0 to 1), where P = k (LCO2 - LH2O)2

and k is the biochemical reaction constant for plant photosynthesis under the optimum

temperature during tree growing season.

Figure 2 | Relationships between atmospheric carbon dioxide concentration

[CO2] and tree water-use efficiency (WUE) in temperate forest ecosystems of

Belgium for beech at MES (a); oak at NOY (b); beech at ODE (c); and beech and oak

at POUR, respectively (d).

Figure 3 | Relationships between atmospheric carbon dioxide concentration

[CO2] and tree growth as basal area increment (BAI) in temperate forest

ecosystems of Belgium for beech at MES (a); oak at NOY (b); beech at ODE (c); and

beech and oak at POUR, respectively (d).

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METHODS

All tree growth data for various species in subtropical, temperate and boreal forest

ecosystems were obtained by either collecting tree discs (hoop pine in the subtropical

forest ecosystems of Australia and beech & oak in the temperate forest ecosystems of

Belgium) or tree ring cores for 3–23 trees of each species (Table S1 and Fig. S1). Two

cores were taken at 1.3 m above the ground with 10 mm diameter increment borers

(Haglöf Increment Borer, Sweden) for each sampling tree. Ring width with 0.01 mm

or 0.001 cm precision was measured, using a semi-automatic device LINTABTM 6

High Resolution digital positioning table (RinntechICT. International Pty. Ltd,

Germany) and TSAP-Win Scientific Software (Rinntech/ICT International Pty. Ltd,

Germany). Ring widths were converted to annual basal area increments (BAI): BAI =

π (Rn2 – Rn–1

2) = π (Rw2 + 2 Rn–1 Rw), where Rw and Rn–1 are the tree ring width between

Rn and Rn–1, and radius for the n–1 year prior to the tree ring formation respectively.

For each disc or tree ring core, wood samples representing 5-year growth intervals

were cut off. All ice core CO25, 30 and weather data were arranged to coincide with the

corresponding 5-year intervals of individual tree discs or tree ring cores. Samples

were analysed for tree ring isotope compositions (δ13C, δ15N and δ18O) for each of the

3–6 trees per species in temperate forest ecosystem of Belgium (δ13C, δ15N and δ18O)

and China (δ13C and δ18O). Tree WUE was calculated as reported previously1-5, 7. All

tree ring isotopic and growth data were checked for the normality and multiple

regressions were performed, using Statistix software (Version 8.0).

Site description and tree growth data

Four sites in temperate forest ecosystems were selected (Table S1), with three (MES,

ODE, NOY) in central Belgium and one (POUR) in high Belgium. Information on the

site characteristics has been reported previously31-32. Beech trees (~130–160 years

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old) were randomly sampled at the MES, ODE and POUR sites (five, six, and five

boles, respectively), and oak trees (~160 years) at the NOY (five boles) and POUR

(five boles), between 1995 and 1997. The stands of central Belgium treated as even-

aged forests, offer homogeneous sampling conditions, since all beech trees were

planted during the same period and are genetically similar. Discs of about 20 cm in

thickness were cut from the top of the bole (30 m and 20 m height off the ground in

central and high Belgium, respectively). Ring width with 0.01 mm or 0.001 cm

precision was measured along four radii, selected so as to avoid growth anomalies.

For each disc, wood samples representing 5-year growth intervals were cut off.

Temperature and precipitation for high Belgium were collected at St Hubert, ca 25.2

km from the POUR site, while temperature and precipitation for central Belgium were

collected at Uccle, ca. 2–6 km from the MES, ODE, NOY sites.

Hoop pine tree discs of 20 cm in thickness were cut off about 30 cm above the

ground from four trees in each of the two subtropical hoop pine plantations grown in

Imbil and Yarraman, Queensland, Australia (Table S1). Bunya pine tree ring cores

were collected from three trees at 1.3 m above the ground in each of the two

subtropical Bunya pine plantations nearby the two hoop pine plantations in Imbil and

Yarraman, Queensland, Australia (Table S1). Masson pine tree ring cores were

collected from five trees at 1.3 m above the ground in a secondary subtropical forest

ecosystem of mixed species in Tiantong, China (Table S1).

Tree ring cores were collected from 3–7 trees at 1.3 m above the ground for each

of the four species in two temperate forest ecosystems at Baishan and Jingsong of

China (Table S1). For each tree ring core, wood samples representing 5-year growth

intervals were cut off.

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Oak tree ring cores were collected at 1.3 m above the ground for each of the four

age groups in a temperate forest ecosystem of Hudson Highlands of USA: 10 trees for

age group 35–40 years, 11 trees for age group 64–72 years, 23 trees for age group 86–

93 years and 13 trees for age group 130–145 years (Table S1). More detailed

information on this site has been published previously33-34.

Tree ring cores were collected at 1.3 m above the ground from five trees for each

of Scots pine and Norway spruce in a boreal forest ecosystem of Kulbäcklidens in

Sweden (Table S1).

Stable isotope composition analysis

Stable isotope ratios were analysed on the isotope ratio mass spectrometer at Griffith

University, Queensland, Australia, expressed as carbon (δ13C), oxygen (δ18O) and

nitrogen (δ15N) and reported according to: δ13C, δ18O and δ15N = [(Rsample /

Rstandard) – 1] 1000, where Rsample was the isotopic ratio for the sample and

Rstandard the isotopic ratio of the standard35-36.

31. Penninckx, V., Meerts, P., Herbauts, J. & Gruber, W. Ring width and element concentrations in

beech (Fagus sylvatica L.) from a periurban forest in central Belgium. For. Ecol. Manage. 113, 23–

33 (1999).

32. Drouet, T., Herbauts, J. & Demaiffe, D. Long-term records of strontium isotope composition in tree

rings suggest changes in forest calcium sources in the early 20 th century. Glob. Change Biol. 11,

1926–1940 (2005).

33. Schuster, W.S. et al. Changes in composition, structure and aboveground biomass over seventy-six

years (1930–2006) in the Black Rock Forest, Hudson Highlands, southeastern New York State.

Tree Physiol. 28, 537–549 (2008).

34. Xu, C.Y. et al. Age-related decline of stand biomass accumulation is primarily due to mortality and

not to reduction in NPP associated with individual tree physiology, tree growth or stand structure in

Quercus-dominated forest. J. Ecol. 100, 428–440 (2011).

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35. Xu, Z.H. et al. Carbon isotope discrimination and oxygen isotope composition in clones of the F1

hybrid between slash pine (Pinus elliottii) and Caribbean pine (P. caribaea) in relation to tree growth,

water-use efficiency and foliar nutrient concentration in subtropical Australia. Tree Physiol. 20, 1209–

1217 (2000).

36. Xu, Z.H., Prasolova, N.V., Lundkvist, K., Beadle, C. & Leaman, T. Genetic variation in carbon and

nitrogen isotope composition and nutrient concentration in the foliage of 10-year-old hoop pine

families in relation to tree growth in subtropical Australia. For. Ecol. Manage. 186, 359–371 (2003).

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Figure 1 (Xu et al., submitted)

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Figure 2 (Xu et al., submitted)

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Figure 3 (Xu et al., submitted)

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Supplementary Information

Subtropical to boreal convergence of tree growth responses

to atmospheric carbon dioxide

Yan Xu1*, Zhihong Xu1*, Xuemei Shao2, Graham Farquhar3, Thomas Drouet4,

Timothy J. Blumfield1, Putranto Nugroho1, Valérie Penninckx4, Sune Linder5,

Chengyuan Xu1, Kevin Lee Griffin6, William Schuster7 & Huijun Zhao8

1Environmental Futures Centre & School of Biomolecular and Physical Sciences, Griffith University, Nathan,

Queensland 4111, Australia. 2Institute of Geographical Sciences and Natural Resources Research, Chinese

Academy of Sciences, Beijing 100101, China. 3Research School of Biology, Australian National University,

Canberra, ACT 2601, Australia. 4Laboratoire d'Ecologie végétale et Biogéochimie, Université Libre de Bruxelles,

Brussels, Belgium. 5Southern Swedish Forest Research Centre, Swedish University of Agricultural Sciences, SE-

230 53, Alnarp, Sweden. 6Lamont-Doherty Earth Observatory of Columbia University, 61 Route 9W, 6 Biology,

Palisades, NY 10964 – 8000, USA. 7Black Rock Forest Consortium, 65 Reservoir Road, Cornwell, NY 12518,

USA. 8Environmental Futures Centre & Griffith School of Environment, Griffith University, Gold Coast,

Queensland 4222, Australia.

This PDF file includes:

Supplementary Information Text

Supplementary Tables

Supplementary Figures

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Supplementary Information Text

Four sites of temperate forest ecosystems in Belgium were selected (Table S1), with

three (MES, ODE, NOY) in central Belgium and one (POUR) in high Belgium. We

use detailed records of monthly rainfall (1833–1995) and temperature (1901–1995) at

Uccle, about 2–6 km from the central Belgium sites, together with CO2 from East

Antarctica5, 30 to evaluate the relationships between CO2 and local temperature, and

between local temperature and rainfall for central Belgium. Rising atmospheric CO2 is

coupled with the linearly increasing mean annual temperature (MAT) (R2 = 0.614, n =

23, P < 0.001), mean growing season temperature (R2 = 0.654, n = 23, P < 0.001) and

mean maximum temperature (R2 = 0.615, n = 23, P < 0.001), but is unrelated to mean

minimum temperature (P = 0.452). It is interesting to note that summer rainfall in

central Belgium is negatively related to mean growing season temperature (R2 =

0.197, n = 23, P < 0.001) and mean maximum temperature (R2 = 0.189, n = 23, P =

0.038), but is unrelated to either MAT (P = 0.174) or mean minimum temperature (P

= 0.580). Similarly, growing season rainfall is negatively related to mean growing

season temperature (R2 = 0.209, n = 23, P = 0.028) and mean maximum temperature

(R2 = 0.251, n = 23, P = 0.015), but is unrelated to either MAT (P = 0.240) or mean

minimum temperature (P = 0.705). This highlights that in central Belgium there

would be increasing water limitation for tree growth during the growing season under

climate change, due to increasing evaporation and transpiration with atmospheric

warming from rising CO2 and decreasing summer or growing season rainfall. It is

important to note that mean annual rainfall is unrelated to MAT (P = 0.513), mean

maximum temperature (P = 0.840), mean growing season temperature (P = 0.942)

and mean minimum temperature (P = 0.206). However, winter rainfall is positively

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related to mean growing season temperature (R2 = 0.209, n = 23, P = 0.028), mean

maximum temperature (R2 = 0.169, n = 23, P = 0.051) and MAT (R2 = 0.250, n = 23,

P = 0.015), but is unrelated to mean minimum temperature (P = 0.316). This

highlights that climate change, particularly rising CO2 and warming, has significant

impacts on rainfall distribution among seasons, with increasing winter rainfall during

non-growing season at the expense of decreasing both summer and growing season

rainfall, although there is no significant change in mean annual rainfall in central

Belgium for the period 1833–1995.

Monthly rainfall and temperature records cover a shorter period (1951–1995) near

the POUR site in high Belgium. There are significant positive relationships between

these rainfall and temperature data in high Belgium and those of central Belgium (R2

= 0.593, 0.531 and 0.475 for annual rainfall, growing season rainfall and summer

rainfall respectively, n = 55, P < 0.001; and R2 = 0.925, 0.929 and 0.921 for

maximum, mean and minimum annual temperature respectively, n = 55, P < 0.001).

Hence, it is reasonable to use the temperature data in central Belgium as estimates of

those for high Belgium due to their longer period (1901–1995), when assessing the

relationships between tree growth rate and MAT for high Belgium.

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Table S1 | General characteristics of study sites in subtropical, temperate and boreal forest ecosystems of Australia, China, Europe and

USA

Climate zones Sites LatitudeLongitude

Elevation(m a.s.l.)

MAT* (oC)MAP* (mm)

Tree Species*

Life span Number of trees

Subtropical Imbil, Australia 26°29ʹ S152°37ʹ E

135 18.61179

HPBP

1938–20121929–2012

43

Yarraman, Australia 26°52ʹ S151°51ʹ E

600 16.9817

HPBP

1934–20121930–2012

43

Tiantong, China 29°48ʹ N121°47ʹ E

200 16.21374

MP 1852–2012 5

Temperate Mésange (MES),Belgium

50°47ʹ13 N4°27ʹ01 E

115 9.8780

Beech 1840–1995 5

Enfants Noyés(NOY), Belgium

50°47ʹ N4°23ʹ E

110 9.8780

Oak 1840–1995 5

Bonne Odeur(ODE), Belgium

50°47ʹ07 N4°26ʹ58 E

120 9.8780

Beech 1840–1995 6

Poursumont(POUR), Belgium

49°47ʹ57 N5°16ʹ26 E

410 7.81200

BeechOak

1840–19951840–1995

55

Baishan, China 42°12ʹ N128°10ʹ E

1100 2.8670

NFLSKPKL

1894–20101797–20101811–20101873–2010

5554

Jingsong, China 42°22ʹ N128°24ʹ E

730 2.8670

NFLSKPKL

1931–20101897–20101760–20101748–2010

5753

Hudson Highlands, USA 41°24ʹ N74°01ʹ W

110–450 10.41200

Oak* 1867–2006 10 (A1); 11 (A2); 23 (A3); 13 ( A4)

Boreal Kulbäcklidens, Sweden 64°11ʹ N19°34ʹ E

240–290 2.7572

SPNS *

1739–20121762–2012

52 (S1); 3 (S2)

*MAT: mean annual temperature; MAP: mean annual precipitation (the data were obtained from meteorologic stations closest to the study sites); HP: Hoop pine (Araucaria cunninghamii); BP: Bunya pine (Araucaria bidwillii); MP: Masson pine (Pinus massoniana); Beech: Fagus sylvatica; Oak: Quercus rubra; NF: Needle fir (Abies nephrolepis); LS: Little-seed spruce (Picea jezoensis); KP: Korean pine (Pinus koraiensis); KL: Korean larch (Larix olgensis); SP: Scots pine (Pinus sylvestris); NS: Norway spruce (Picea abies); A1: age 35–40 years; A2: age 64–72 years; A3: age 86–93 years; A4: age 130–145 years; S1: lower slope; and S2: upper slope.

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Table S2 | Tree water-use efficiency (WUE) and growth (basal area increment: BAI) in temperate forest ecosystems of Belgium and China in

response to rising atmospheric carbon dioxide concentration ([CO2], ppm) and other biotic and abiotic factors

Sites Tree species*

Regression equations*WUE (µmol mol-1) BAI (cm2 yr-1)

BelgiumMésange (MES)

Beech WUE = - 1469.6 + 8.88 [CO2] – 0.0124 [CO2]2 – 0.414 ATree

– 0.326 δ18O (R2 = 0.664, n = 91, P < 0.001)BAI = - 751.9 + 4.71 [CO2] – 7.15 10-3 [CO2]2 + 2.75 δ15N+ 0.261 (δ15N)2 + 0.110 ATree (R2 = 0.587, n = 80, P < 0.001)

Enfants Noyés (NOY)

Oak WUE = - 9.77 + 0.250 [CO2] + 0.718 δ18O + 0.816 δ15N(R2 = 0.430, n = 129, P < 0.001)

BAI = - 796.0 + 4.72 [CO2] – 7.38 10-3 [CO2]2 + 0.330 WUE+ 0.0373 RSummer – 0.942 δ15N + 0.194 ATree

(R2 = 0.734, n = 108, P < 0.001)Bonne Odeur (ODE)

Beech WUE = - 964.3 + 5.96 [CO2] – 8.35 10-3 [CO2]2 – 0.231 ATree

(R2 = 0.372, n = 119, P < 0.001)BAI = - 619.4 + 3.75 [CO2] – 5.48 10-3 [CO2]2 – 0.132 WUE(R2 = 0.602, n = 119, P < 0.001)

Poursumont (POUR)

Beech WUE = - 50.0 + 0.308 [CO2] + 1.20 δ18O(R2 = 0.317, n = 101, P < 0.001)

BAI = - 1486.4 + 8.99 [CO2] – 0.0136 [CO2]2 + 0.191 WUE+ 1.75 δ18O (R2 = 0.551, n = 100, P < 0.001)

Oak WUE = - 2044.0 + 12.3 [CO2] – 0.0177 [CO2]2 + 4.07 δ18O+ 2.68 δ15N – 0.419 ATree (R2 = 0.820, n = 74, P < 0.001)

BAI = - 447.0 + 2.75 [CO2] – 4.24 10-3 [CO2]2 + 0.486 δ18O+ 0.0325 ATree (R2 = 0.809, n = 73, P < 0.001)

ChinaBaishan NF WUE = - 70.8 + 0.405 [CO2] + 0.156 ATree

(R2 = 0.797, n = 77, P < 0.001)BAI = - 553.0 + 3.17 [CO2] – 4.34 10-3 [CO2]2 – 0.133 WUE(R2 = 0.594, n = 77, P < 0.001)

LS WUE = - 356.2 + 2.65 [CO2] – 3.33 10-3 [CO2]2 – 3.63 δ18O(R2 = 0.780, n = 170, P < 0.001)

BAI = - 506.7 + 3.06 [CO2] – 4.72 10-3 [CO2]2 + 0.377 WUE(R2 = 0.359, n = 170, P < 0.001)

KP WUE = - 211.8 + 1.50 [CO2] – 1.83 10-3 [CO2]2 + 0.0344 ATree

(R2 = 0.797, n = 155, P < 0.001)BAI = - 712.9 + 4.10 [CO2] – 5.89 10-3 [CO2]2 + 0.460 WUE(R2 = 0.651, n =155, P < 0.001)

KL WUE = 22.6 + 0.181 [CO2] + 0.0401 ATree

(R2 = 0.549, n = 153, P < 0.001)BAI = - 733.7 + 4.49 [CO2] – 6.14 10-3 [CO2]2 – 8.85 10-4 ATree

2 – 1.42 δ18O (R2 = 0.511, n = 153, P < 0.001)Jingsong NF WUE = - 94.9 + 0.502 [CO2]

(R2 =0.543, n = 64, P < 0.001)BAI = - 800.0 + 4.38 [CO2] – 5.80 10-3 [CO2]2

(R2 = 0.648, n =65, P < 0.001)LS WUE = - 56.1 + 0.426 [CO2]

(R2 = 0.805, n =121, P < 0.001)BAI = - 725.3 + 3.85 [CO2] – 5.37 10-3 [CO2]2 + 3.19 δ18O(R2 = 0.543, n = 122, P < 0.001)

KP WUE = 9.64 + 0.208 [CO2] + 0.0506 ATree

(R2 = 0.734, n = 176, P < 0.001)BAI = - 425.5 + 2.62 [CO2] – 3.70 10-3 [CO2]2

– 2.14 10-3 [CO2] ATree (R2 = 0.166, n = 176, P < 0.001)KL WUE = - 368.8 + 2.23 [CO2] – 3.02 10-3 [CO2]2 + 1.64 δ18O

+ 0.0786 ATree (R2 = 0.841, n = 113, P < 0.001)BAI = - 310.3 + 1.84 [CO2] – 2.51 10-4 [CO2]2

(R2 = 0.307, n = 113, P < 0.001)*The abbreviations of tree species are the same with Table S1; ATree: relative tree age (yrs) with the first inner ring of each tree core or disc to be age 0 year; δ15N (‰): stable nitrogen isotope composition in tree ring wood material; δ18O (‰): stable oxygen isotope composition in tree ring wood material; RSummer (mm): summer rainfall; and [CO2] ATree: interaction between [CO2] and ATree.

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Supplementary Figure Legends

Figure S1 | Map of geographical locations for the study sites in subtropical,

temperate and boreal forest ecosystems of Australia, China, Europe and USA.

Figure S2 | Relationships between atmospheric carbon dioxide concentration

[CO2] and tree water-use efficiency (WUE) in temperate forest ecosystems of

China for Needle fir at Baishan (a) and Jingsong (b); Little-seed spruce at Baishan (c)

and Jingsong (d); Korean pine at Baishan (e) and Jingsong (f); and Korean larch at

Baishan (g) and Jingsong (h), respectively.

Figure S3 | Relationships between tree water-use efficiency (WUE) and tree

growth as basal area increment (BAI) in temperate forest ecosystems of China

for Needle fir at Baishan (a) and Jingsong (b); Little-seed spruce at Baishan (c) and

Jingsong (d); Korean pine at Baishan (e) and Jingsong (f); and Korean larch at

Baishan (g) and Jingsong (h), respectively.

Figure S4 | Relationships between mean annual temperature (MAT) and tree

growth as basal area increment (BAI) in temperate forest ecosystems of Belgium

for beech at MES (a); oak at NOY (b); beech at ODE (c); and beech and oak at

POUR, respectively (d).

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Figure S1 (Xu et al., submitted)

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Figure S2 (Xu et al., submitted)

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Figure S3 (Xu et al., submitted)

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Figure S4 (Xu et al., submitted)

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