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Patterns of carbon and nitrogen allocation in trees predicted by a model of optimal plant function Ross E. McMurtrie

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Proceedings of the 7th International Conference on Functional-Structural Plant Models, Saariselkä, Finland, 9 - 14 June 2013. Eds. Risto Sievänen, Eero Nikinmaa, Christophe Godin, Anna Lintunen & Pekka Nygren.

http://www.metla.fi/fspm2013/proceedings. ISBN 978-951-651-408-9.

186

Patterns of carbon and nitrogen allocation in trees predicted by a model of optimal plant function

Ross E. McMurtrie1 and Roderick C. Dewar2

1School of Biological, Earth and Environmental Sciences, The University of New South Wales, Sydney, NSW 2052, Australia; 2

Research School of Biology, The Australian National University, Canberra, ACT

2600, Australia

*correspondence: r.mcmurtrie@unsw.edu.au

Highlights: Annual carbon allocation to leaves, stems and roots of trees is predicted by a model that simulates canopy photosynthesis and root nitrogen uptake with the overlying hypothesis that annual wood production is maximised.

Keywords: Carbon and nitrogen allocation, forest growth model, Norway spruce, optimisation model, photosynthesis, root nitrogen uptake

Annual carbon (C) allocation belowground in forests can range from 40 % of annual C allocation to wood at fertile, productive sites to 300 % under infertile conditions (Litton et al. 2007; Dybzinski et al. 2011). C allocation is therefore an important determinant of terrestrial C sequestration. However, because the C allocation process is inadequately understood (Franklin et al. 2012), it is a weakness in current ecosystem and earth-system modelling. This paper presents a new theoretical perspective on forest C allocation derived from a model that incorporates the hypothesis that annual wood growth is maximised (Valentine and Mäkelä 2012). The model simulates photosynthesis by a vertically-distributed leaf canopy and nitrogen (N) uptake by a vertically-distributed root system, but does not include a specific C allocation mechanism. It makes predictions of optimal vertical profiles of photosynthetic N-use efficiency PNUE of leaves and N-uptake efficiency NUpE of roots. Leaf PNUE decreases with canopy depth because of light attenuation, and root NUpE decreases with soil depth as a consequence of reduced soil N availability at depth. At steady state the model predicts a relationship between PNUE of basal leaves and NUpE of basal roots that depends on leaf and root longevities and N concentrations. This relationship will be used to determine optimal patterns of annual C and N allocation to leaves, roots and stems in stands of Norway spruce growing at sites with contrasting N fertility (Dewar et al. 2009; McMurtrie and Dewar 2011; Dewar et al. 2012; McMurtrie et al.

2012).

LITERATURE CITED

Dewar RC, Franklin O, Mäkelä A, McMurtrie RE, Valentine HT. 2009. Optimal function explains plant responses to global change. Bioscience59:127-139.

Dewar RC, Tarvainen L, Parker K, Wallin G, McMurtrie RE. 2012. Why does leaf nitrogen decline within tree canopies less rapidly than light? An explanation from optimization subject to a lower bound on leaf mass per area.

Tree Physiology 32:520–534.

Dybzinski R, Farrior C, Wolf A, Reich PB, Pacala SW. 2011. Evolutionarily stable strategy carbon allocation to foliage, wood, and fine roots in trees competing for light and nitrogen: an analytically tractable, individual-based model and quantitative comparisons to data. American Naturalist, 177:153–166.

Franklin O, Johansson J, Dewar RC, Dieckmann U, McMurtrie RE, Brännström Å, Dybzinski R. 2012.

Modelling carbon allocation in trees: a search for principles. Tree Physiology32:648-666.

Litton CM, Raich JW, Ryan MG. 2007. Carbon allocation in forest ecosystems. Global Change Biol.13:2089-2109.

McMurtrie RE, Dewar RC. 2011. Leaf-trait variation explained by the hypothesis that plants maximize their canopy carbon export over the lifespan of leaves. Tree Physiology31:1007–1023.

McMurtrie RE, Iversen CM, Dewar RC, Medlyn BE, Näsholm T, Pepper DA, Norby RJ. 2012. Plant root distributions and nitrogen uptake predicted by a hypothesis of optimal root foraging. Ecology and Evolution2:1235–

1250.

Valentine HT, Mäkelä A. 2012. Modeling forest stand dynamics from optimal balances of carbon and nitrogen. New Phytologist194:961-971.

Viittaukset

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