BG Biogeosciences BG Biogeosciences 1726-4189 Copernicus Publications Göttingen, Germany 10.5194/bg-11-6711-2014 Simulation of tree-ring widths with a model for primary production, carbon allocation, and growth Li G. https://orcid.org/0000-0002-8238-2801 1 Harrison S. P. 1 2 Prentice I. C. https://orcid.org/0000-0002-1296-6764 1 3 Falster D. https://orcid.org/0000-0002-9814-092X 1 Department of Biological Sciences, Macquarie University, North Ryde, NSW 2109, Australia School of Archaeology, Geography and Environmental Sciences (SAGES), Reading University, Reading, UK AXA Chair of Biosphere and Climate Impacts, Grand Challenges in Ecosytem and the Environment, Department of Life Sciences and Grantham Institute for Climate Change, Imperial College London, Ascot, UK 04 12 2014 11 23 6711 6724 Copyright: © 2014 G. Li et al. 2014 This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit https://creativecommons.org/licenses/by/3.0/ This article is available from https://bg.copernicus.org/articles/11/6711/2014/bg-11-6711-2014.html The full text article is available as a PDF file from https://bg.copernicus.org/articles/11/6711/2014/bg-11-6711-2014.pdf

We present a simple, generic model of annual tree growth, called "<i>T</i>". This model accepts input from a first-principles light-use efficiency model (the "<i>P</i>" model). The <i>P</i> model provides values for gross primary production (GPP) per unit of absorbed photosynthetically active radiation (PAR). Absorbed PAR is estimated from the current leaf area. GPP is allocated to foliage, transport tissue, and fine-root production and respiration in such a way as to satisfy well-understood dimensional and functional relationships. Our approach thereby integrates two modelling approaches separately developed in the global carbon-cycle and forest-science literature. The <i>T</i> model can represent both ontogenetic effects (the impact of ageing) and the effects of environmental variations and trends (climate and CO<sub>2</sub>) on growth. Driven by local climate records, the model was applied to simulate ring widths during the period 1958–2006 for multiple trees of <i>Pinus koraiensis</i> from the Changbai Mountains in northeastern China. Each tree was initialised at its actual diameter at the time when local climate records started. The model produces realistic simulations of the interannual variability in ring width for different age cohorts (young, mature, and old). Both the simulations and observations show a significant positive response of tree-ring width to growing-season total photosynthetically active radiation (PAR<sub>0</sub>) and the ratio of actual to potential evapotranspiration (α), and a significant negative response to mean annual temperature (MAT). The slopes of the simulated and observed relationships with PAR<sub>0</sub> and α are similar; the negative response to MAT is underestimated by the model. Comparison of simulations with fixed and changing atmospheric CO<sub>2</sub> concentration shows that CO<sub>2</sub> fertilisation over the past 50 years is too small to be distinguished in the ring-width data, given ontogenetic trends and interannual variability in climate.

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