Forest Ecology and Management 173 (2003) 105±123 Tree ring analysis reveals age structure, dynamics and wood production of a natural forest stand in Cameroon M. Worbesa,*, R. Staschela, A. Roloff b, W.J. Junkc a Institute for Forest Botany of the University, BuÈsgenweg 2, D 37077 GoÈttingen, FR Germany b Institute for Forest Botany of the TU Dresden, P.O. Box 10, 01735 Tharandt, FR Germany c Max-Planck-Institute for Limnology, August-Thienemann-Straûe 2, D 24302 PloÈn, FR Germany Received 27 December 2000; received in revised form 11 September 2001; accepted 7 December 2001 Abstract In a semi-deciduous natural forest stand in Cameroon a forest inventory and increment estimations on all trees with a diameter above 10 cm were carried out in an area of 1 ha. The stand is dominated by Triplochiton scleroxylon and is a part of a forest type which is widely distributed in West Africa. The existence of annual rings in the wood of trees was proven by radiocarbon dating and tree ring analysis. The oldest tree (Celtis zenkeri) of the stand was 220 years old. The age class between 41 and 60 years is the strongest in number of individuals. Trees with an age of more than 120 years were found exclusively in the storey of the emergents. The age of the trees correlates very weakly with the diameter and the height. The mean diameter growth rates vary between 0.2 cm per year in understorey tree species and 0.82 cm per year in emergent species. The major timber species (T. scleroxylon) reaches in mean the minimum felling diameter of 80 cm within 90 years. According to their age and height distribution together with the wood density, we distinguished three major types of life strategies of species cohorts. Species with high wood density and low increment rates in all age classes are generally restricted to the understorey. Species with exclusively old individuals, low or moderate wood densities and high increment rates are restricted to the upper storey and can be classi®ed as long-living pioneers (T. scleroxylon). Finally, species with moderate or high wood density, some old individuals in the upper storey and many recruits in the lower canopy can be de®ned as mature forest trees or trees of the future (Nesogordonia papaverifera, Sterculia rhinopetala). These ®ndings lead to the assumption that the investigated stand can be classi®ed as a very late secondary stand in transition to a mature forest. # 2002 Elsevier Science B.V. All rights reserved. Keywords: Cameroon; Forest dynamics; Growth rates; Semi-deciduous forest; Tree ring analysis; Tropical trees 1. Introduction The extensive logging of natural tropical forests has broadened the discussion and installation of sustainable management systems throughout the world. The * Corresponding author. Tel.: 49-551-399504; fax: 49-551-392705. E-mail address: mworbes@gwdg.de (M. Worbes). success of these systems is bound to an exact knowledge of growth rates of trees, dynamics and productivity of natural forest stands. The knowledge of growth rates of tropical trees under natural conditions is rather poor. Estimates are vague and vary considerably depending on the methods used. Deduction from net primary production to wood production results in values up to 18 t ha 1 per year (Bruenig, 1996), three times higher than the wood 0378-1127/02/$ ± see front matter # 2002 Elsevier Science B.V. All rights reserved. PII: S 0 3 7 8 - 1 1 2 7 ( 0 1 ) 0 0 8 1 4 - 3 106 M. Worbes et al. / Forest Ecology and Management 173 (2003) 105±123 production in a beech forest in the temperate zone (Ellenberg, 1986). Other calculations derived from repeated diameter measurements (Jordan, 1983) and from tree ring analysis in Amazonian ¯oodplain forests indicate a total above ground wood biomass production of 6±7 t ha 1 per year (Worbes, 1997). Lowest ®gures were reported by Clark and Clark (1996) from remeasured trees in La Selva, Costa Rica, with a zero growth over a period of 14 years. Little is known about succession in temperate and tropical forests under natural conditions. There are a few long-term observations of succession in temperate forests (Koop, 1989), but forests undisturbed by humans are rare (Ellenberg, 1986). In the few existing long-term studies of virgin tropical forests (Manokaran and Kochumen, 1987; Clark and Clark, 1996), tree growth rates and stand dynamics were calculated from repeated diameter measurements by means of statistical methods (Lieberman et al., 1985). Tree ring analysis has been used to reconstruct the stand history of temperate forests (Koop, 1989; Worbes et al., 1993; Abrams et al., 1995; Worbes, 1996), but has not been applied to tropical forests because of the common, yet erroneous, assumption that tropical trees lack annual rings (Lang and Knight, 1983; Lieberman et al., 1985; Whitmore, 1990). However, many species of tropical forests with a distinct and predictable dry season have annual rings (Geiger, 1915; Coster, 1927, 1928; Berlage, 1931; Tschinkel, 1966; Ash, 1983; DeÂtienne, 1989; Worbes, 1989, 1995, 1999a; Worbes and Junk, 1989). The global distribution of such forests exceeds that of equatorial rain forests (Worbes, 1992, 1995). In West African lowland forests the existence of annual rings is proven for many trees (Amobi, 1973; Mariaux, 1967a,b, 1969, 1970, 1981). These ®ndings open the possibility to a broader application of tree ring analysis in tropical forests management. In the present study, we prove the existence of annual rings in trees of a natural forest stand in Cameroon. We will use tree ring analysis for: revealing stand history and growth dynamics of important timber species, and estimating of diameter growth of the trees in this stand. With this study, we want to show how tree ring analysis can help evaluate basic data for the management of tropical forests. 2. Site description The study site is located in Central Cameroon 100 km north of YaoundeÂ, 15 km northeast of the village of Biakoa (48400 N, 118320 E) on 600 m AASL. The forest formation is a closed semi-deciduous forest, which covers a wide region in that area. A forest prospection of 20 km2 in the vicinity of Biakoa showed that our study site is of a similar species composition in respect of the main commercial timber species. On the top of steep hills forest is lower and less dense than at low elevations. Some 30 km northeast the forest is replaced successively by an anthropogenic savannah. Climate data were obtained from the nearest climate station (Biafa) 30 km west of the study site. The precipitation time series extends from 1951 until the present. The climate is characterised by a mean annual precipitation of 1900 mm with a distinct seasonal distribution (Fig. 1). The dry period, with less than 50 mm precipitation per month, lasts from December to February. A second, less pronounced ``dry'' period with precipitation around 100 mm occurs in June or August. The temperature varies between 22.4 8C in July and 25.0 8C in February. The soil is a deep latosol with 50% clay. The ®eld work was carried out between February and July 1993. One hectare (100 100 m2) of a nonlogged natural forest was divided into hundred 10 10 m2. Every tree with a DBH > 10 cm was mapped with its x- and y-co-ordinates, the DBH was measured with a tape, and the height was measured trigonometrically with a SUUNTO measurement device. The DBH of trees with buttresses was measured above them. 3. Material and tree ring measurements In the investigation area from all trees with a DBH > 10 cm, two wood samples were taken at breast height along two rectangular radii with an increment corer (é 5 mm). In trees with buttresses, cores were taken from the stems portion between two buttresses. From a nearby logged forest, stem discs and additional increment cores were taken from Triplochiton scleroxylon and Terminalia superba for an additional investigation of the wood and growth structure and for a radiocarbon analysis. M. Worbes et al. / Forest Ecology and Management 173 (2003) 105±123 107 Fig. 1. Mean monthly precipitation in Biafa, Cameroon. Time series from 1951 to 1993. The wood density of the samples was calculated from size, measured with a sliding caliper and weight of the oven-dried samples (105 8C). Then the cores were glued on a wooden support and highly polished with ®ne sand paper. The ring widths were measured to the nearest 0.01 mm using a tree ring measurement device following RINN (unpublished). In a nearby exploited forest stand, stem discs were taken from 17 T. scleroxylon trees and four T. superba trees. The ring widths were measured at four radii, and the results were compared statistically using the tree ring program CATRAS (Aniol, 1983) and visually comparing the outprints of the tree ring curves. This procedure is usually applied in dendro-chronological science for the detection of missing rings and is termed cross-dating. Due to this procedure tree ring curves of all samples were corrected, including missing rings and excluding false rings. From the resulting corrected curves into steps, mean curves for every individual and, in a second step, mean curves for species were constructed (Stahle et al., 1999). The age of the trees was determined on crosssections at breast height. In temperate zones Schweingruber (1988) adds 7±8 years for the time a seedling grows to 1.3 m. There are no experiments on height growth rates of trees in tropical natural forests. So, we did not add arti®cial ®gures to our estimations. The real age of trees and forests might therefore be 5±10 years higher than given. In some cases both cores per tree did not hit the pith and missed it tangentially. We used a stencil developed in our laboratory for temperate trees where we can estimate from the width of the rings and the angle of the ring boundaries the position of the pith (Bonn and Worbes, 1991). 4. Radiocarbon dating The radiocarbon dating of individual tree rings is an independent proof of the annual nature of tree rings (Worbes and Junk, 1989). The procedure is based on the atomic weapon effect (Nydal and LoÈvseth, 1983) and the fact that the radiocarbon content of the wood re¯ects the radiocarbon content of the atmosphere in a given year between 1950 and the present in the temperate zones as well as in the tropics (Worbes and Junk, 1989). The aim of this radiocarbon measurement is not the pure dating of one growth zone but the de®nition of an arti®cial time marker in the wood. With this second date (beneath the felling date), it is 108 M. Worbes et al. / Forest Ecology and Management 173 (2003) 105±123 of the species (67) have less than four individuals in the study plot. The more frequent species are listed in Table 1. The majority of the individuals (76.9%) belong to the understorey up to 15 m. The 14.8% of the individuals form the main canopy between 15 and 30 m, and 8.3% of all trees can be classi®ed as emergents with tree heights up to 55 m. The diameter distribution has an inverse J-shape (Fig. 2) with the majority (63.1% of all individuals) in the diameter class between 10 and 20 cm and a fast exponential decrease. Representatives of seven species were found in the storey above 30 m, with 29 species between 15 and 29 m. The understorey is most diverse with 67 different species. The total basal area of living trees is 37.93 m2. T. scleroxylon is dominating the stand in terms of basal area (9.43 m2) with only 18 individuals, mainly occurring in the highest crown layer with tree heights up to 48 m and a maximum DBH of 125 cm. The tree with possible to compare the number of growth zones with the number of years and de®ne the nature of the periodical growth zones as annually or not. Therefore, predated individual tree rings from T. scleroxylon were taken, and their radiocarbon content was measured with accelerator mass spectrometry by the Physikalisches Institut der UniversitaÈt Erlangen-NuÈrnberg. The results were compared with a curve of the radiocarbon content from the atmosphere (Hua et al., 1999) to the visible growth structure of the wood. 5. Results 5.1. Species composition, inventory A total of 516 living trees with a DBH > 10 cm from 81 species were counted in the investigation area (1 ha). Ten more trees of unknown species were standing dead with diameters up to 1 m. The majority Table 1 Growth features of the most frequent tree species from Biakoa forest Species Family Emergents E. oblonga T. scleroxylon Sterculiaceae Sterculiaceae Sterculiaceae Ulmaceae Ulmaceae Rubiaceae Sterculiaceae N Wood density (g cm 3) Diameter increment (cm per year) Mean Maximum Minimum height height (m) age (year) (m) Maximum age (year) Mean age (year) 4 18 0.84 0.08 0.49 0.06 0.72 0.06 0.62 0.28 40.7 38.0 45 48 64 56 103 219 85 124 Main canopy Pterygota sp. Celtis adolfi-frederici C. zenkeri Mitragyna ciliata N. papaverifera ``Mbamzok'' T. madagascariense Indet B D. crassiflora Polyalthia suaveolens Ulmaceae I S. rhinopetala Ebenceae Annonaceae Ulmaceae Sterculiaceae 6 6 10 6 30 4 27 14 14 13 11 19 0.73 0.71 0.84 0.66 0.91 0.98 0.67 0.65 0.74 0.88 0.84 0.72 0.05 0.04 0.03 0.06 0.05 0.04 0.04 0.05 0.04 0.04 0.04 0.05 0.81 0.32 0.36 0.70 0.50 0.28 0.46 0.38 0.46 0.34 0.32 0.36 0.22 0.14 0.18 0.16 0.18 0.06 0.16 0.06 0.10 0.10 0.12 0.10 23.2 21.5 20.0 19.8 18.1 15.5 14.8 14.7 14.3 14.2 13.4 11.5 25 35 32 35 45 24 29 22 28 26 26 25 32 47 52 19 22 39 26 42 28 30 49 28 51 146 220 60 124 96 66 100 70 100 104 86 43 91 82 42 50 58 47 69 50 56 61 46 Understorey ``Ofes B'' E. cylindricum Aningeria robusta G. perpulchra ``Ofes A'' Indet A C. preussii 4 5 4 12 27 35 Myristicaceae 102 0.71 0.77 0.80 0.93 0.83 1.04 0.98 0.08 0.10 0.04 0.05 0.07 0.05 0.06 0.48 0.24 0.32 0.24 0.32 0.20 0.26 0.22 0.06 0.10 0.10 0.10 0.06 0.08 11.5 11.4 10.3 9.8 9.3 8.9 8.4 14 18 15 18 13 14 16 33 32 31 50 47 38 31 146 114 64 88 115 94 110 47 66 52 70 64 41 65 Moraceae Meliaceae Sapotaceae Sapotaceae M. Worbes et al. / Forest Ecology and Management 173 (2003) 105±123 109 Fig. 2. Diameter distribution of all trees with diameter < 10 cm in the Biakoa research site. greatest dimensions is a Ceiba pentandra with 130 cm DBH and 55 m height. Coelocaryon preussii is the most frequent species with 102 individuals, restricted to the understorey with measured heights between 5 and 16 m and DBH values between 13 and 39 cm. The relation between diameter and height compared over all individuals is close (r 2 0:82, Table 2). 5.2. Annual tree rings in T. scleroxylon and other species On the highly polished stem discs and the prepared cores, growth zones appear with speci®c differences in distinctiveness. All Sterculiaceae, Meliaceae and others show very clear rings, whereas, e.g. the growth zones of C. pentandra on the cores are not distinguishable, therefore, we did not include this species which was only represented with two individuals in the calculations of growth rates. According to our observations this species and other representatives of Bombacaceae show indistinct rings in neotropical habits as well (Worbes, 1989). In this family, the investigation of tree ring structure usually requires the investigation of stem discs, because the boundaries of the rings only are marked by slight density variations. Distinct rings are delimited by marginal parenchyma as in T. scleroxylon, Entandophragma cylindricum, T. superba and many others (Fig. 3). Extended descriptions of the wood Table 2 Correlation coef®cients of structural and growth parameters over all individualsa Height Height DBH Age Density Radial growth a ± 0.9* (83%) 0.55* (30%) 0.46* (21%) 0.69* (48%) DBH ± ± 0.63* (38%) 0.42* (18%) 0.72* (53%) Age ± ± ± 0.1 (0.0%) 0.0 (0.1%) Wood density ± ± ± ± 0.43* (19%) Asterisks indicate signi®cance at 99% con®dence level. In brackets R2 are given, explaining the percentage of variability. 110 M. Worbes et al. / Forest Ecology and Management 173 (2003) 105±123 Fig. 3. Cross-sections of E. cylindricum (A) and T. scleroxylon (B). Some boundaries of the growth zones are marked; magni®cation is 20. M. Worbes et al. / Forest Ecology and Management 173 (2003) 105±123 111 Fig. 4. Ring width curves of four radii together with the mean curve from one stem disc of T. scleroxylon. anatomy of most of our investigated species are available in DeÂtienne (1989) and Richter and Dallwitz (2000). The possibility to cross-date measured ring width time series is one indication of seasonal growth in tropical trees (Worbes, 1995; Stahle et al., 1999). We give examples of individual and interspeci®c crossdating in Figs. 4 and 5. Another strong hint to an annual growth rhythm is the concurrence between rain fall and ring width patterns (Worbes, 1999a). We already showed this for T. scleroxylon (Staschel et al., 1996), where the width of the annual rings shows a good correlation with the amount of rainfall in the transition months between the rainy and dry seasons (see also Berlage, 1931). Despite the strong evidence of the described methods that tree rings at the investigated stand are annual in nature, we applied by means of radiocarbon dating an additional method independent from the dendro-chronological system. The values of the radiocarbon content in the wood of the predated rings in T. scleroxylon ®t the radiocarbon content of the air in the respective years (Fig. 6). We used for our predictions the period of increasing atmospheric 14 8C from 1955 until 1965. In this time the differences in atmospheric radiocarbon from year to year are highest and provide a clear result. An often used and sometimes helpful technique is the comparison of information from local people on age of trees or speci®c events that can be correlated with tree age, with number of tree rings. On a logging road de®nitely not used for 3 years, seedlings of Ricionodendron heudelotii were found showing three distinct tree rings. The knowledge that West African trees and those from Cameroon show annual rings is not new. Hummel (1946), Lowe (1961), Amobi (1974), DeÂtienne and Mariaux (1976), DeÂtienne (1989) and above all Mariaux (1967a,b, 1969, 1981) proved and documented annual wood formation in tree species of our site as Aucoumea klaineana, C. pentandra, Clorophora excelsea, Guarea cedrata, E. cylindricum, Mansonia altissima, T. superba, and T. scleroxylon, which occur in our research site and some additional 30 species. From these ®ndings and from the ®ndings of numerous publications on tree rings in trees under seasonal climate conditions in other tropical regions (Worbes, 1995), we made the deduction that all distinct rings of the investigated species are annual in nature. 6. Wood density The wood density of a tree species is one indication of its life strategy. Pioneer trees generally have soft wood and trees of the mature forest show a high wood 112 M. Worbes et al. / Forest Ecology and Management 173 (2003) 105±123 Fig. 5. Mean curves of E. cylindricum with (a) T. scleroxylon; (b) S. rhinopetala; (c) T. superba. The x-axis scale is logarithmic to point the characteristic minima. M. Worbes et al. / Forest Ecology and Management 173 (2003) 105±123 113 Fig. 5. (Continued ). density (Swaine and Whitmore, 1988) often combined with low increment rates (Worbes, 1989). In the Biakoa forest the wood densities vary between 0.26 g cm 3 in R. heudelotii to 1.1 g cm 3 in Garciana kola. Most trees of the upper storey have wood densities below 0.6 g cm 3 (e.g. C. pentandra with 0.45 g cm 3). The majority of trees with high wood density are found in the understorey. Some of these are restricted to the understorey (e.g. Coeloracyon preusii: 0.98 g cm 3), whereas others like Nesogordonia papaverifa (0.91 g cm 3) have representatives in all height classes (Table 1). The mean for all individuals is 0.83 g cm 3, while the mean for species mean is 0.8 g cm 3. This almost equals the value for a primary forest in the Amazonian inundation forest (VaÂrzea: 0.86, Worbes et al., 1992). 7. The age of the trees The diameter of a tree is dependent on its age, but in a number of randomly selected individuals (as in a diverse tropical forest site) it is not possible to correlate both parameters with suf®cient accuracy. The correlation between diameter and age is weak (r 2 0:37, Table 2). Trees of the same age can have a diameter of 10 or 120 cm (Fig. 7a). There is also no signi®cant correlation between height and age of the trees calculated for all individuals. Examples in Fig. 7b show that 35 m tall trees might be 60 or 220 years old. The same is true within one species (T. scleroxylon, Fig. 8). Consequently, the pattern of the age class distribution (Fig. 8) differs considerably from the diameter class distribution (Fig. 2). The division into 20-year step age classes shows a normal distribution with its maximum between 41 and 60 years. The 37.1% of all individuals fall into this age range. The mean age for all individuals is 61 years. The age of the trees at the time of investigation varies considerably between species and within species between individuals (Table 1). The oldest tree is a C. zenkeri with 220 years, followed by a T. scleroxlon with 183 years. The youngest recorded tree was Staudatia kamerunensis with 14 years. Maximum, 114 M. Worbes et al. / Forest Ecology and Management 173 (2003) 105±123 Fig. 6. Radiocarbon concentration (d14 C in % modern, what is the relation to the pre-bomb period) of selected growth zones of T. scleroxylon in x-position as predated. Radiocarbon concentration of the air is derived from Hua et al. (1999). minimum, and mean age of the most frequent species are given in Table 1. Trees with an age of more than 120 years were found exclusively in the storey of the emergents (above 30 m), the youngest tree of the upper storey is 56 years old (T. scleroxylon), and the mean age of the upper storey is 113 years. Species cohorts are unevenly aged. The greatest difference in age between the youngest and the oldest individual within one species is found in C. zenkeri (168 years) and T. scleroxylon (127 years). The smallest difference is found in the unidenti®ed ``Faut Koto'' with 19 years. 8. Diameter growth rates The diameter growth rates of trees with more than four individuals are listed in Table 1. The lowest values show the species of the understorey (between 0.20 and 0.58 cm per year). Highest values occur in the main canopy and in emergent species (0.36±0.82 cm per year). The mean for all individuals is 0.19 cm per year. The highest individual values were also found in upperstorey trees (Eribroma oblonga: 1.86 cm per year, T. scleroxylon: 1.42 cm per year, R. heudelotii: 1.38 cm per year). Lowest values were shown by Gambeya perpulchra and Coelocaryon preusii with 0.14 cm per year in the understorey. The growth rates are correlated over all individuals positively with tree height (0.69) and the diameter at breast height (0.72) and not at all with a tree's age. A weak negative correlation between mean growth rate and mean density of species is observable ( 0.43). That means simply that a large tree due to its better exposition to the light in comparison with a small tree has higher growth rates and can thus attain a high trunk diameter. This is independent from a tree's age, because young trees with high growth rates may also have a thick stem. In contrast to the statement of Swaine and Putz (1987) that trees' ``growth rates are fairly conservative over time'', measured tree ring curves show a high variation from year to year (Figs. 4 and 5). This can be M. Worbes et al. / Forest Ecology and Management 173 (2003) 105±123 115 Fig. 7. (a) Diameter±age relation of all age dated trees over 10 cm DBH in 1 ha of Biakoa forest; (b) height±age relation of all age dated trees over 10 cm DBH in 1 ha of Biakoa forest. 116 M. Worbes et al. / Forest Ecology and Management 173 (2003) 105±123 Fig. 8. Age class distribution of all trees above 10 cm DBH in 1 ha of Biakoa forest. traced back to climate variations, in particular the variation of precipitation patterns between consecutive years as we proved for T. scleroxylon in the investigation area (Staschel et al., 1996). Similar ®ndings derived from tree ring analysis are shown for Tectona grandis on Java (Berlage, 1931) and in Thailand (Pumijumnong et al., 1995). In Costa Rica, Clark and Clark (1994) found those increment patterns using annually repeated diameter measurements. The year by year variation in tropical trees is obviously higher than the variations observed in trees from the temperate zones. Additionally, different patterns of long-term growth trends can be observed in the investigated species. Typical examples are: Relatively constant growth over the entire life span (Fig. 9a). A fast increase from the very young to a maximum followed by a decrease to a low level in the mature tree. This is called an age trend (Schweingruber, 1988) and is typical for trees in the artificial temperate forests or trees in secondary forests in natural stands (Fig. 9b). A more or less constant increase from the past to the present. Trees with one or more abrupt changes of the growth curve during their life span (Fig. 9c). Within one species several patterns as de®ned above may occur. They are the result of the individual life histories in respect of the given light conditions in any period of their life. 9. Discussion 9.1. Forest dynamics The Biakoa forest belongs to a forest type which is widely distributed at the West African coast, dominated on the family level by Sterculiaceae and on species level by T. scleroxylon an important representative of this family. The region of the investigation M. Worbes et al. / Forest Ecology and Management 173 (2003) 105±123 117 Fig. 9. Tree ring curves of individual T. scleroxylon trees together with their trend curves (moving average) showing different long-term trends. For easier comparison the respective upper borderline of a curve is the 1 cm, the lower border is the 1 mm line. The scaling is logarithmic. site belongs to northern part of the eastern distribution centre of T. scleroxylon (Hall and Bada, 1979). In the vicinity of the investigation area T. scleroxylon is the most frequent large tree species. Several other species of large trees which are closely associated with T. scleroxylon in Ghana and Nigeria (Hall and Bada, 1979) also occur in the Biakoa forest (C. pentandra, Chlorophora excelsea, N. papaverifera and others). Therefore, our investigation on the forest dynamics in Biakoa may have some evidence for many forest stands in West Africa. The principal mechanisms of successional processes in tropical forests were described by the model of silvigenetic cycles (Halle et al., 1978) as a sequence of alternating dynamical and homoeostatical periods. During dynamical stages pioneer species are replaced by mature forest species. During homoeostatical periods tree mature and reach their maximum age. The question on the length of certain sequences especially of older successional stages remains unsolved. Many attempts have been made to solve this question. The most conservative but closest to the truth is the long-term observation of forest stands in permanent plots. However, even the longest observation period in tropical forests, e.g. 35 years in Luquillo Experimental Forest, Puerto Rico (Crow, 1980; McCormick, 1995), is short in comparison with the supposed age of mature forest trees. Assumptions on maximum ages of trees in tropical lowland forests reach up to 2000 years (Condit et al., 1995). The ages of the trees in Biakoa forest are much lower than these. We will discuss some possible causes for the differences below (see also Worbes and Junk, 1999). In the analysis of dynamical processes in tropical forests an often disregarded feature of Budowski's table (Budowski, 1961) is the wood density of the canopy trees, where pioneers are species with low 118 M. Worbes et al. / Forest Ecology and Management 173 (2003) 105±123 Fig. 10. Height±age relation of six selected tree species pointed out with trend curves. The wood density is shown in detail in each graph. wood density and a high density is typical for a tree from the mature forest (Swaine and Whitmore, 1988). Together with the age and the development of height we used this feature to classify three major types of life strategies of species cohorts (Fig. 10): Trees within 100 years usually reach a maximum height of 15 m and are obviously restricted to the understorey. This behaviour is combined with a high wood density and low radial increments (e.g. C. preussii). Trees which occur in high age classes up to 200 years mainly in the upper storey and have few or no younger recruits in the stand. These trees show generally low or moderate wood densities at high increment rates (mainly T. scleroxylon, but also C. pentandra) and can be classified as long-living pioneers (Halle et al., 1978). M. Worbes et al. / Forest Ecology and Management 173 (2003) 105±123 Trees which have the capacity to reach the main canopy or to establish as emergents, shown by a few individuals of a given species and with the majority of the cohort as younger individuals being recruits in the lower storeys. The wood of these trees shows moderate or high density (Trilepsium madagascariense, N. papaverifera, Sterculia rhinopetala). These species can be defined as mature forest trees or trees of the future (Halle et al., 1978). In respect of the composition of these species groups the Biakoa forest has a lot of features which classify it as a very late secondary forest. The highest trees are those with high increment rates and low wood density. Typical pioneer trees of the region (Okali and Ola-Adams, 1987) as reminds to former silvigenetic stages as Chlorophera excelsea, T. superba, C. pentandra and Alstonia boonei occur with few individuals in the upper storey and do not have recruits. The dominating species T. scleroxylon has only one about 60 years old suppressed recruit in the understorey showing very slow growth. On the other hand, slow-growing, shade-tolerant species with a high wood density like N. papaverifera, S. rhinopetala and C. zenkerii, classi®ed in Nigerian forest as mature forest trees (Okali and OlaAdams, 1987), already attained with some representatives the upper canopy within about 150 years and have many recruits in all size and age classes in the lower storeys. In total in Biakoa the long-living pioneer species are larger and in majority older than the mature forest species. The duration of a certain successional stage is not a ®xed value. In the central Amazonian ¯ood plain (VaÂrzea), which has fertile soils, a late secondary stage is obviously reached when the dominating long-living pioneer species (here Pseudobombax munguba) has reached the maximum age of about 80±120 years due to its very low wood density of about 0.2 g cm 3 (Worbes, 1989). Dominating species (Piranhea trifoliata) of the mature forest reach an age of about 400 years (Worbes et al., 1992). The time span from a pioneer stage until the beginning of a mature forest stage may, therefore, vary from about 100 years under good growth conditions until about 200 years as in the Biakoa forest under moderate growth conditions. In this context, age estimations from other tropical forests with a mean of projected life spans for all individuals of 230 years in a Costa Rican rain forest 119 (Lieberman et al., 1985) or maximum tree ages until 442 years for Carapa guianensis and 529 years for Neea divaricata, a small stemmed mid-canopy species in a rain forest in Amazonian Ecuador (Korning and Balslev, 1994) seem to be very high. On the basis of the estimated growth rates, a mathematical model (Lieberman et al., 1985) calculates the time the slowest growing tree needs to grow from 10 cm (DBH) to the largest observed trunk diameter of a given species. A similar calculation of trees in Biakoa gives 340 years of ``life expectancy'' of the thickest tree of N. papaverifa, which is in reality 148 years old. For T. scleroxylon the oldest tree with 224 years could have an age of about 370 years. The misleading assumption is that slow-growing trees of the understorey could reach dimensions of the emergents of the same species. Usually, slow-growing trees are suppressed in the shade of competitors and die early (Swaine and Putz, 1987). In Biakoa, the upperstorey trees with a great diameter always have a much higher increment than the recruits in the understorey of the same species. Nevertheless, the discussed estimations from repeated diameter measurements are much closer to our results than the 2000 years from mathematical calculations on the basis of mortality rates (Condit et al., 1995). In general, the comparison of traditional age dating in tropical forests and our results lead to the assumption that the age and the longevity of tropical trees and forests often were overestimated. Especially, in ecosystems frequently stroked by catastrophic events like hurricanes in Central America (Basnet et al., 1992; Zimmerman et al., 1994), extreme pluriannual ¯ood and drought events in the great ¯oodplains (Junk, 1989), ®res in regions with low precipitation (Abrams et al., 1995; Worbes, 1999b) or human-impact silvigenetic cycles often are interrupted and a mature stage of a forest is of a theoretical nature. 9.2. Growth rates and growth trends Since the concept of a general lack of annual rings in trees of tropical regions is still widely accepted in tropical ecology and forestry (Lieberman et al., 1985; Whitmore, 1990; Bruenig, 1996), growth rate and age estimations of tropical forest trees were carried out by repeating diameter measurements (Veillon, 1985; Lieberman et al., 1985; Manokaran and Kochumen, 120 M. Worbes et al. / Forest Ecology and Management 173 (2003) 105±123 Fig. 11. (a) Individual and mean cumulative increment curves of 17 T. scleroxylon stem discs. The box shows the time to pass 20 cm DBH for a mean stem. The minimum felling diameter is 80 cm; (b) cumulative increment curves from T. scleroxylon (n 17), Diospyros crassi¯ora (n 15). S. rhinopetala (n 20), N. papaverifera n 30 and C. preussii n 101. M. Worbes et al. / Forest Ecology and Management 173 (2003) 105±123 1987; Swaine and Putz, 1987; Clark and Clark, 1992; Korning and Balslev, 1994). Often these investigations cover only a short time period in relation to the age of a tree in natural forests. In the observed period either poor or good growth conditions may be present as a result of varying climate behaviour. Additionally, unidenti®ed or dynamic reasons may in¯uence the growth considerably. For example, Clark and Clark (1994) report on trees in La Selva, Costa Rica, without measurable growth over a period of 14 years. These trees are emergents and must have been grown faster in former times or be in®nitely old. Our results, however, represent the radial increment over the entire life span of the trees. These data are of interest for foresters, who want to plan the yield for the entire tree, a species and a forest site. The mean measured diameter growth rate of 3.8 mm per year in the Cameroon forest exceeds the results from other growth rate estimations in tropical forests. Manokaran and Kochumen (1987) found in a Malaysian Dipterocarp forest a mean radial increment over all species of 2.6 mm per year. The mean for the published data in an Ecuadorian rain forest is 2.6 mm per year (Korning and Balslev, 1994). The comparison of these with our results must consider that we include in our estimation not only the increments of the mature forest but juvenile phases with higher growth rates. The values for canopy species in a Costa Rican rain forest with mean increment of 4.2 mm per year (Lieberman et al., 1985) equal our data from the main canopy in Biakoa. Probably due to the long observation period of 24 years the data from Veillon (1985), who measured in Venezuela 3.8 mm per year in a semidry and 4.5 mm per year in a moist forest, are in the range of our results. The ®nding of all reports that overstorey trees grow faster than understorey trees is con®rmed by our results. This is doubtless the result of decreasing light saturation from the top to the ground of the forest. In general the mean diameter increment of a forest stand says little about the in¯uence of abiotic site factors, when the successional stage of the stand is not considered. In a young pioneer stand with a high percentage of fast-growing, light-demanding trees with a low wood density, wood increment rates are generally higher than in an old multistoried forest (Jordan and Farnworth, 1980). In old grown forests the low increment rates of many understorey individuals 121 equal higher values from trees of the higher canopies (Worbes et al., 1992; Worbes, 1996). In Cameroon the minimum harvestable diameter for T. scleroxylon is laid down with 80 cm (Obam, 1992). In the investigated stand trees need 50±100 years to grow into this diameter class; the mean is close to 80 years, corresponding to a mean annual diameter increment rate of 1 cm (Fig. 11a). Trees need about 20 years to pass from 60 to 80 cm DBH. These results con®rm assumptions of Hall and Bada (1979) on the growth rates of these species. T. scleroxylon belongs to the fastest-growing timber species in the stand (C. pentandra is not considered but with certainty is also among this group). Other species (Diospyros, Sterculia) grow much more slowly and would not reach 80 cm in diameter before an age of 150 years (Fig. 11b). In Zimbabwe, Stahle et al. (1999) measured with tree ring analysis the growth rates for the hardwood species Pterocarpus angolensis and found, due to the drier environment, growth rates much lower than ours. In total the growth rates in tropical forests seem to be low. Plans for a sustainable management of these forests must consider that even the fastest growing timber species needs almost 90 years before it can be used commercially. 10. Conclusions The use of tree ring analysis in tropical forest ecology is a valuable tool for the interpretation of forest dynamics and for growth rate estimations. Tropical trees show a high variation in life histories and a sensitive reaction to changing growth conditions. The increasing use of forests in the tropics and the strong demand for a reliable database as the precondition for sustainable management planning require further development of tree ring analysis to provide an increase of ecological knowledge of these unique ecosystems. Acknowledgements The study was funded by the Deutsche Forschungsgemeinschaft (DFG). We thank the Ministry of Environment and Forest in Cameroon and Dr. H.L. Stoll from the Feldmeyer KG, who enabled the ®eld studies in the Biakoa forest. 122 M. Worbes et al. / Forest Ecology and Management 173 (2003) 105±123 References Abrams, M.D., Orwig, D.A., Demeo, T.E., 1995. 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