Estimating the sustainable harvesting and the stable diameter distribution of European beech with projection matrix models

Annals of Forest Science

Volumn 64, Issue 6, 2007, Pages 593-599

  López, Ignacio ^a   Ortuño, Sigfredo Francisco ^a   Martín, Ángel Julián ^a   Fullana, Carmen ^b  

^a UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

^b UNIVERSIDAD PONTIFICIA COMILLAS   (Spain)

Author keywords

European beech; Harvesting; Projection matrix model; Stable diameter distribution; Sustainability

Indexed keywords

DECIDUOUS TREE; DIAMETER; GROWTH CURVE; HARVESTING; POPULATION DISTRIBUTION; RECRUITMENT; SUSTAINABILITY;

EURASIA; EUROPE; NAVARRA; SOUTHERN EUROPE; SPAIN;

FAGUS; FAGUS SYLVATICA;

EID: 34948885199     PISSN: 12864560     EISSN: 1297966X     Source Type: Journal    
DOI: 10.1051/forest:2007037     Document Type: Article

References (40)

1. Antonovics J., Levin D.A., The ecological and genetic consequences of density-dependent regulation in plants, Annual Rev. Ecol. Syst. 11 (1980) 411-452.
2. Baar F., Gilisen J., Van Doren B., Cahier technique no 15, Forêt Wallone, 2001.
3. Caswell H., Matrix population models: construction, analysis, and interpretation, 2nd ed., Sinauer Associates Inc., Sunderland, MA, USA, 2001.
4. Cancino J., von Gadow K., Stem number guide curves for unevenaged forests - development and limitations, in: von Gadow K., Nagel J., Saborowsky J. (Eds.), Continuous cover forestry, Kluwer Academic Press, Dordrecht, 2002, pp. 163-174.
5. Cohen J.E., Ergodic theorems in demography, Bull. Am. Math. Soc. 1 (1979) 275-295.
6. Collet C., Lanter O., Pardos M., Effects of canopy opening on height and diameter growth in naturally regenerated beech seedlings, Ann. For. Sci. 58 (2001) 127-134.
7. De Liocourt F., De l'aménagement des sapinières, Bull. Soc. for. Franche-Comté et du Territoire de Belfort 4 (1898) 396-409, 645-647.
8. Dohrenbusch A., Die Verjüngungsentwicklung der Buche (Fagus silvatica L.). Bericht einer langfristigen Beobachtung im Solling, Schriften aus der Forstlichen Fakultaet der Univ. Goettingen und der Niedersaechsischen Forstlichen Versuchsanstalt, Germany, 1990.
9. Frobenius G., Über Matrizen aus positiven Elementen, S.-B. Preuss. Akad. Wiss., Berlin, Germany, 1908.
10. Gadow K. v., Hui G., Modelling forest development, Faculty of Forest and Woodland Ecology, University of Göttingen, Germany, 1998.
11. Goñi J.M., Los bosques en Navarra, Departamento de Agricultura, Ganadería y Montes, Gobierno de Navarra, Spain, 1987.
12. Hein S., Dhôte J-F., Effects of species composition, stand density and site index on the basal area increment of oak trees (Quercus sp.) in mixed stands with beech (Fagus sylvatica L.) in northern France, Ann. For. Sci. 63 (2006) 457-467.
13. ICONA, Segundo Inventario Forestal Nacional (1986-1995), Ministerio de Agricultura, Pesca y Alimentación (MAPA), Madrid, Spain, 1995.
14. Jaworsky A., Kolodziej Zb., Natural loss of trees, recruitment and increment in stands of primeval character in selected areas of the Bieszczady Mountains National Park (South-Eastern Poland), J. For. Sci. 48 (2002) 141-149.
15. Knoke T., Value of complete information on red heartwood formation in beech (Fagus sylvatica), Silva Fenn. 36 (2002) 841-851.
16. Koop H., Hilgen P., Forest dynamics and regeneration mosaic shifts in unexploited beech (Fagus sylvatica) stands at Fontainebleau (France), For. Ecol. Manage. 20 (1987) 135-150.
17. Leslie P.H., On the use of matrices in certain population mathematics, Biometrika 33 (1945) 183-212.
18. Lefkovitch L.P., The study of population growth in organisms grouped by stages, Biometrics 21 (1965) 1-18.
19. Madrigal A., Puertas F., Martínez Millán J., Tablas de producción para "Fagus sylvatica L." en Navarra, Gobierno de Navarra, Dpto. de Agricultura, Ganadería y Alimentación, Navarra, 1996.
20. Madsen P., Larsen J.B., Natural regeneration of beech (Fagus sylvatica L.) with respect to canopy density, soil moisture and soil carbon content, For. Ecol. Manage. 97 (1997) 95-105.
21. Maple version 10.0, Maplesoft, Ontario, Canada, 2005.
22. Marechal J.P., Bilan des placettes de référence en peuplements irréguliers: réseau, AFI-ENGREF, ENGREF, 1998.
23. Peng C., Growth and yield models for uneven-aged stands: past, present and future, For. Ecol. Manage. 132 (2000) 259-279.
24. Perron O., Zur Theorie der Matrizen, Math. Ann. 64 (1907) 248-263.
25. Peterken G.F., Natural woodland. Ecology and conservation in Northern temperate regions, Cambridge University Press, Cambridge, 1996.
26. Pielou E.C., An Introduction to mathematical ecology, Wiley Interscience, NY, USA, 1969.
27. Ramula S., Lehtilä K., Matrix dimensionality in demographic analyses of plants: when to use smaller matrices? Oikos 111 (2005) 563-573.
28. Rozas V., Fernández J.A., Competition, mortality, and development of spatial patterns in two Cantabrian populations of Fagus Sylvatica L. (Fagaceae), Anales Jardín Botánico de Madrid 58 (2000) 117-131.
29. Sanchez-Gonzalez M., ToméM., Montero G., Modelling height and diameter growth of dominant cork oak trees in Spain, Ann. For. Sci. 62 (2005) 633-643.
30. Saniga M., Vplyv clony materskeho porastu na pociatocne fazy prirodzenej obnovy buka, Acta Facultatis Forestalis Zvolen 36 (1994) 117-125.
31. Schütz J.-P., Dynamique et conditions d'équilibre des peuplements jardinés sur les stations de la hêtraie à sapin, Schweiz. Z. Forstwes. 126 (1975) 637-671.
32. Schütz J.-P., Sylviculture 2, La gestion des forêts irrégulières et melangées, Presses Polytechniques et Universitaires Romandes, Lausanne, Switzerland, 1997.
33. Schütz J.-P., Demographic sustainability of beech plenter forests, Ann. For. Sci. 63 (2006) 93-100.
34. Sterba H., Equilibrium curves and growth models to deal with forests in transition to uneven-aged structure - Application in two sample stands, Silva Fenn. 38 (2004) 413-423.
35. Susmel L., Leggi di varianzione dei parametric della foresta disetanea normale, L'Italia Forestale e Montana XI (1956).
36. Teissier du Cross E. (Ed.), Le Hêtre, INRA, Paris, 1981.
37. Timbal J., Répartition en Europe et en France du Hêtre, in: Le Hêtre, Teissier du Cross (Ed.), INRA, Département des Recherches Forestières, Paris, 1981, pp. 58-67.
38. Van Mantgem P.J., Stephenson N.T., The accuracy of matrix population model projections for coniferous trees in the Sierra Nevada, California, J. Ecol. 93 (2005) 737-747.
39. Vanclay J.K., Modeling forest growth and yield. Applications to mixed tropical forests, CAB International, Wallingford, UK, 1994.
40. Zuidema P.A., Demography of exploited tree species in the Bolivian Amazon, PROMAB Scientific Series 2, PROMAB - Riberalta, Bolivia, 2000.