Toward extension of a single tree functional–structural model of Scots pine to stand level: effect of the canopy of randomly distributed, identical trees on development of tree structure
Risto Sievänen A D , Jari Perttunen A , Eero Nikinmaa B and Pekka Kaitaniemi CA The Finnish Forest Research Institute, Vantaa Research Unit, PL 18, FI-01301, Vantaa, Finland.
B Department of Forest Ecology, University of Helsinki, Latokartanonkaari 7, (PO BOX 27), FIN-00014 University of Helsinki, Finland.
C Hyytiälä Forestry Field Station University of Helsinki, Hyytiäläntie 124, FIN-35500 Korkeakoski, Finland.
D Corresponding author. Email: risto.sievanen@metla.fi
This paper originates from a presentation at the 5th International Workshop on Functional–Structural Plant Models, Napier, New Zealand, November 2007.
Functional Plant Biology 35(10) 964-975 https://doi.org/10.1071/FP08077
Submitted: 14 March 2008 Accepted: 10 September 2008 Published: 11 November 2008
Abstract
Functional–structural plant growth models (FSPMs) combine the description of the structure of plants and the resource acquisition and partitioning at a detailed architectural level. They offer a means to study tree and stand development on the basis of a structurally accurate description that combines resource capture at the same level of detail. We describe here how a ‘shoot-based’ individual tree model, LIGNUM of Scots pine (Pinus sylvestris L.) has been applied to a group of identical trees (forest). The model has been applied to isolated trees and saplings growing in forest gaps. First, we present the LIGNUM model and the changes necessary for simulation of a forest instead of individual trees. LIGNUM derives tree growth on the basis of a process-based model of tree carbon balance and the architectural development of the 3-D tree crown. The time step is 1 year. We realised the forest as consisting of individual Scots pine trees on a plot 17 × 17 m, but simplified the stand description by simulating the growth of only one tree in the middle of the plot and assumed that the other trees were identical to it at all times. The model produced results that are comparable with observations made in real Scots pine trees and tree stands in Finland. The simulations with variable values of the parameters controlling the foliage–sapwood relationship, amount of sapwood required below a point in a branch or a stem, and the senescence of sapwood showed how growth declines when the sapwood requirement in the branches and stem was high. In this case, the proportion of resources allocated to the needles became small and the needle mass was low.
Additional keywords: forest, Pinus sylvestris L.
Acknowledgements
This study has been supported by Academy of Finland, grant no. 210875. We are grateful to reviewers and the Guest Editors for their useful comments.
Berninger F,
Nikinmaa E,
Sievänen R, Nygren P
(2000) Modelling of reserve carbohydrate dynamics, regrowth and nodulation in a N2-fixing tree managed by periodic prunings. Plant, Cell & Environment 23, 1025–1040.
| Crossref | GoogleScholarGoogle Scholar |
[Verified 4 August 2008]
Godin C, Sinoquet H
(2005) Functional–structural plant modelling. New Phytologist 166, 705–708.
| Crossref | GoogleScholarGoogle Scholar | PubMed |
[Verified 4 August 2008]
Huston MA,
DeAngelis D, Post W
(1988) New computer models unify ecological theory. Bioscience 38, 682–691.
| Crossref | GoogleScholarGoogle Scholar |
Ishii HT,
Tanabe S, Hiura T
(2004) Exploring the relationships among canopy structure, stand productivity, and biodiversity of temperate forest ecosystems. Forest Science 50, 342–355.
Kaitaniemi P, Ruohomäki K
(2006) Uncaged larvae elicit a combination of local and integrated growth responses within mountain birch crown. Oikos 115, 537–548.
| Crossref | GoogleScholarGoogle Scholar |
Kangas A
(1997) On the prediction bias and variance in long-term growth projections. Forest Ecology and Management 96, 207–216.
| Crossref | GoogleScholarGoogle Scholar |
Kellomäki S
(1986) A model for the relationship between branch number and biomass in Pinus sylvestris crowns and the effect of crown shape and stand density on branch and stem biomass. Scandinavian Journal of Forest Research 1, 455–472.
Kellomäki S, Väisänen H
(1988) Dynamics of branch population in the canopy of young Scots pine stands. Forest Ecology and Management 24, 67–83.
| Crossref | GoogleScholarGoogle Scholar |
King D, Loucks OL
(1978) The theory of tree bole and branch form. Radiation and Environmental Biophysics 15, 141–165.
| Crossref | GoogleScholarGoogle Scholar | PubMed |
Körner C
(2004) Through enhanced tree dynamics carbon dioxide enrichment may cause tropical forests to lose carbon. Philosophical Transactions of the Royal Society. Biological Sciences 359, 493–498.
| Crossref | GoogleScholarGoogle Scholar |
Kurth W
(1997) Growth grammars simulating trees – an extension of L-systems incorporating local variables ans sensitivity. Silva Fennica 31, 285–295.
Kurth W
(1998) Some new form for modelling the interactions between plant architecture, competition and ca allocation. Bayreuther Forum Ökologie 52, 53–98.
Kurttio O, Kellomäki S
(1990) Structure of young Pinus sylvestris: branching and its dependence on tree size. Scandinavian Journal of Forest Research 5, 169–175.
Lacointe A
(2000) Carbon allocation among tree organs: a review of basic processes and representation in functional–structural tree models. Annals of Forest Science 57, 521–533.
| Crossref | GoogleScholarGoogle Scholar |
Lehtonen A
(2005) Estimating foliage biomass in Scots pine (Pinus sylvestris) and Norway spruce (Picea abies) plots. Tree Physiology 25, 803–811.
| PubMed |
Mäkelä A
(1986) Implications of the pipe model theory on dry matter partitioning and height growth in trees. Journal of Theoretical Biology 123, 103–120.
| Crossref | GoogleScholarGoogle Scholar |
Mäkelä A
(1997) A carbon balance model of growth and self-pruning in trees based on structural relationships. Forest Science 43, 7–24.
Mäkelä A, Vanninen P
(2001) Vertical structure of Scots pine crowns in different age and size classes. Trees 15, 385–392.
| Crossref | GoogleScholarGoogle Scholar |
Mäkelä A,
Kolari P,
Karimäki J,
Nikinmaa E,
Perämäki M, Hari P
(2006) Modelling five years of weather driven variation of GPP in a boreal forest. Agricultural and Forest Meteorology 139, 382–398.
| Crossref | GoogleScholarGoogle Scholar |
Mäkinen H, Colin F
(1998) Predicting branch angle and branch diameter of Scots pine from usual measurements and stand structural information. Canadian Journal of Forest Research 28, 1686–1696.
| Crossref | GoogleScholarGoogle Scholar |
Martin MJ,
Host GE,
Lenz KE, Isebrands JG
(2001) Simulating the growth response of aspen to elevated ozone: a mechanistic approach to scaling a leaf-level model of ozone effects on photosynthesis to a complex canopy architecture. Environmental Pollution 115, 425–436.
| Crossref | GoogleScholarGoogle Scholar | PubMed |
Nikinmaa E,
Messier C,
Sievänen R,
Perttunen J, Lehtonen M
(2003) Shoot growth and crown development: effect of crown position in three-dimensional simulations. Tree Physiology 23, 129–136.
| PubMed |
Oker-Blom P, Smolander H
(1988) The ratio of shoot silhouette area to total needle area in Scots pine. Forest Science 34, 894–906.
Perttunen J, Sievänen R
(2005) Incorporating Lindenmayer systems for architectural development in a functional–structural tree model. Ecological Modelling 181, 479–491.
| Crossref | GoogleScholarGoogle Scholar |
Perttunen J,
Sievänen R,
Nikinmaa E,
Salminen H,
Saarenmaa H, Väkevä J
(1996) LIGNUM: A tree model based on simple structural units. Annals of Botany 77, 87–98.
| Crossref | GoogleScholarGoogle Scholar |
Perttunen J,
Sievänen R, Nikinmaa E
(1998) LIGNUM: A model combining the structure and functioning of trees. Ecological Modelling 108, 189–198.
| Crossref | GoogleScholarGoogle Scholar |
Perttunen J,
Nikinmaa E,
Lechowicz MJ,
Sievänen R, Messier C
(2001) Application of the functional–structural tree model LIGNUM to sugar maple saplings (Acer saccharum Marsh) growing in forest gaps. Annals of Botany 88, 471–481.
| Crossref |
Porté A, Bartelink HH
(2002) Modelling mixed forest growth: a review of models for forest management. Ecological Modelling 150, 141–180.
| Crossref | GoogleScholarGoogle Scholar |
Room PM,
Maillette L, Hanan JS
(1994) Module and metamer dynamics and virtual plants. Advances in Ecological Research 25, 105–157.
| Crossref | GoogleScholarGoogle Scholar |
Shinozaki K,
Yoda K,
Hozumi K, Kira TA
(1964) A quantitative analysis of plant form – the pipe model theory. I. Basic analysis. Japanese Journal of Ecology 14, 97–105.
Sievänen R,
Nikinmaa E, Perttunen J
(1997) Evaluation of importance of sapwood senescence on tree growth using the model LIGNUM. Silva Fennica 31, 329–340.
Sievänen R,
Nikinmaa E,
Nygren P,
Ozier-Lafontaine H,
Perttunen L, Hakula H
(2000) Components of functional–structural tree models. Annals of Forest Science 57, 399–412.
| Crossref | GoogleScholarGoogle Scholar |
Sorrensen-Cothern KA,
Ford ED, Sprugel DG
(1993) A model of competition incorporating plasticity through modular foliage and crown development. Ecological Monographs 63, 277–304.
| Crossref | GoogleScholarGoogle Scholar |
Sprugel DG,
Hinckley TM, Schaap W
(1991) The theory and practice of branch autonomy. Annual Review of Ecology and Systematics 22, 309–334.
| Crossref | GoogleScholarGoogle Scholar |
Stenberg P,
Palmroth S,
Bond B,
Sprugel DG, Smolander H
(2001) Shoot structure and photosynthetic efficiency along the light gradient in a Scots pine canopy. Tree Physiology 21, 805–814.
| PubMed |
Takenaka A
(1994) A simulation model of tree architecture development based on growth response to local light environment. Journal of Plant Research 107, 321–330.
| Crossref | GoogleScholarGoogle Scholar |
Vanninen P,
Ylitalo H,
Sievänen R, Mäkelä A
(1996) Effects of age and site quality on the distribution of biomass in Scots pine. Trees (Berlin) 10, 231–238.
Vuokila Y, Väliaho H
(1980) Viljeltyjen havumetsiköiden kasvatusmallit. Communicationes Instituti Forestalis Fenniae [In Finnish with English summary: Growth and yield models for conifer cultures in Finland]. 99, 271.