* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Resource quantity, not resource heterogeneity, maintains plant
Storage effect wikipedia , lookup
Renewable resource wikipedia , lookup
Habitat conservation wikipedia , lookup
Overexploitation wikipedia , lookup
Unified neutral theory of biodiversity wikipedia , lookup
Molecular ecology wikipedia , lookup
Biodiversity action plan wikipedia , lookup
Introduced species wikipedia , lookup
Occupancy–abundance relationship wikipedia , lookup
Island restoration wikipedia , lookup
Ecological fitting wikipedia , lookup
Reconciliation ecology wikipedia , lookup
Theoretical ecology wikipedia , lookup
Perovskia atriplicifolia wikipedia , lookup
Latitudinal gradients in species diversity wikipedia , lookup
Ecology Letters, (2002) 5: 420–426 REPORT Resource quantity, not resource heterogeneity, maintains plant diversity M. Henry H. Stevens* and Walter P. Carson Program in Ecology and Evolution, Department of Biological Sciences, University of Pittsburgh, Pittsburgh, PA 15260, U.S.A. *Correspondence and present address: Department of Botany, 316 Pearson Hall, Miami University, Oxford, OH 45056 USA. E-mail: [email protected] Abstract Resource heterogeneity has often been proposed to explain the maintenance of plant species diversity and patterns of species diversity along productivity gradients. Resource heterogeneity should maintain biodiversity by preventing competitive exclusion because different species are superior competitors in different parts of a heterogeneous environment. In natural systems, however, resource heterogeneity covaries with average resource supply rate, making the effect of heterogeneity difficult to isolate. Using a novel experimental approach, we tested the independent effects of resource heterogeneity and average supply rate on plant species diversity. We show that the average supply rate of the most limiting resource controlled species diversity, whereas heterogeneity of this resource had virtually no effect. These findings also suggest that biodiversity declines with increasing productivity because at high enough levels of productivity one resource may always be driven to sufficiently short supply to exclude many species. Keywords Assemblage level thinning, enemy free space, heterogeneity, productivity gradient, resource ratio, species diversity, species richness. Ecology Letters (2002) 5: 420–426 INTRODUCTION Spatial heterogeneity of one or more limiting resources should prevent competitive exclusion and maintain high species richness (Hardin 1960; MacArthur 1970; Grubb 1977; Ricklefs 1977; Tilman 1982; Palmer 1994; Crawley 1997; Nicotra et al. 1999; Kassen et al. 2000). Several general theoretical models of local species interactions (MacArthur 1970; Levin 1976; Tilman 1982; Abrams 1988; Pacala & Tilman 1994) make at least two robust predictions: (1) spatial heterogeneity of limiting resources governs the number of co-occurring species (i.e. species richness), and (2) species habitat requirements and the relative abundance of different microhabitat types determine species relative abundances. In contrast, a wide variety of other hypotheses suggest that species richness is determined by the average supply rates of the most limiting resources (Preston 1962; MacArthur & Wilson 1963; Wright 1983; Rosenzweig & Abramsky 1993; Abrams 1995; Hurtt & Pacala 1995; Srivastava & Lawton 1998; Grace 1999; Stevens & Carson 1999b; Morin 2000; Hubbell 2001). Although critical differences exist within this group of hypotheses, each predicts that: (1) species richness will increase with increasing resource and energy availability, and (2) the most !2002 Blackwell Science Ltd/CNRS abundant species in the species pool may dominate any particular site by chance alone. For the remainder of this paper, we will refer to these two sets of predictions as the heterogeneity hypothesis and the energy hypothesis. Here we test the heterogeneity hypothesis and the energy hypothesis by measuring the relative importance of spatial heterogeneity and the average supply rate of light in governing a widespread but paradoxical pattern: plant species richness falls as soil resource availability and productivity rise (Grime 1973; Tilman 1982; Rosenzweig & Abramsky 1993; Tilman & Pacala 1993; Waide et al. 1999; Gough et al. 2000; Gross et al. 2000; Mittelbach et al. 2001). The resolution to this paradox appears to lie with how light availability covaries with productivity (Tilman & Pacala 1993; Huston & DeAngelis 1994). As soil resources rise, and plant communities become more productive, light availability in the understorey declines. Understorey light availability probably governs species richness because all individuals of both canopy species and understorey specialists must survive and grow in the understorey at some point in their ontogenies (Grubb 1977; Harper 1977). Heterogeneityrelated hypotheses assume that species specialize in different light levels (e.g. Ricklefs 1977; Pacala et al. 1996; Kobe 1999) or different ratios of light and soil resources (Tilman 1982; Resource quantity and plant diversity 421 Tilman & Pacala 1993) and each predicts that light heterogeneity should govern species richness. Energyrelated hypotheses (Preston 1962; MacArthur & Wilson 1963; Wright 1983; Rosenzweig & Abramsky 1993; Hurtt & Pacala 1995; Oksanen 1996; Grace 1999; Stevens & Carson 1999b; Hubbell 2001) do not necessarily rely on assumptions about species specializations and predict that the average supply rate of light should govern species richness. We used a novel experimental approach to test the independent contribution of light heterogeneity to plant species richness (Stevens 1999). After establishing an experimental productivity gradient in an herbaceous plant community, we used shade frames to manipulate independently understorey light heterogeneity, and the average supply rate of understorey light. This allowed us, for the first time, to test whether light heterogeneity governs species richness along productivity gradients. This also allowed us to test the key underlying assumption of whether species specialize in low-light environments. METHODS In 1995, we sprayed with herbicide and ploughed an abandoned agricultural field in north-western Pennsylvania, USA. We fertilized 192 plots (4 · 4 m, each separated by 1 m) at four different rates for 3 years (1996–8) (OsmocoteTM slow release fertilizer, 18–6–12 NPK, at rates of 0, 8, 16 and 32 g N m)2 year)1). By 1997, the field was dominated by several Solidago spp., Agropyron repens and Milium effusum (Stevens 1999). In free-standing vegetation without shade frames, our soil resource gradient created patterns widely observed in other studies of herbaceous plant productivity gradients: as soil resources rise, above-ground biomass increases, and species richness, average understorey light supply rate, and understorey light spatial heterogeneity fall (e.g. Grime 1973; Al-Mufti et al. 1977; Tilman 1987; Stevens & Carson 1999b; Stevens 1999). Six designs of shade frames (Fig. 1) (1 m W · 0.75 m H · 3 m L) provided three levels of spatial heterogeneity at each of two average supply rates when placed over growing vegetation (‘‘heterogeneity’’ and ‘‘average supply rate’’ are the standard deviation and mean of a spatial array of point light measurements) (Table 1). We selected the levels of supply rate and heterogeneity to represent the range of each observed in free-standing vegetation at the above levels of fertilizer (Table 1). Over a two-year period (1997, 1998), the shade frames took the place of the canopies formed by the tallest plants (e.g. Euthemia graminifolia, Solidago altissima). As plants grew taller throughout the growing season, they were guided around the opaque outside walls of the shade frames, so that tall plants did not cast shade in the 30 · 150 cm sample plots (Fig. 1) and confound the shade treatments. At the beginning of the 1997 growing season, one shade frame was placed in each of the 192 plots fertilized with one of four levels of soil fertilizer (above) resulting in 24 unique treatment combinations (n ¼ 8). The shade frames did not Schematic 2-D overviews Sample plot (gray) of shade frame types 30 cm Low-Light (2%) Uniform Continuum Gap Moderate-Light (30%) 3-D frame in surrounding vegetation 3m 3m ated three levels of light heterogeneity at each of two levels of average light supply rate (see Table 1). In this schematic, the degree of shading indicates shade cloth opacity (density) with black areas transmitting < 1% of ambient light and white (no shade cloth) transmitting 100% ambient light. Shade frames were orientated north–south and placed over growing vegetation. Ramets over 50 cm tall were guided around the outside, plastic-sheet walls of the frames. Plants were sampled in three contiguous 30 · 50 cm subplots, and light was sampled at 150 1.0 cm intervals along the dashed transect. 50 cm Figure 1 The six shade frame types cre- 1m !2002 Blackwell Science Ltd/CNRS 422 M.H.H. Stevens and W.P. Carson Table 1 Average supply rate and heterogeneity of light in shade frames (n ¼ 32/type) and in free-standing vegetation (n ¼ 12/level) along the experimental productivity gradient (mean[standard error]). Light under shade frames was independent of fertilizer level Frame type Av. Supply rate (mean) Heterogeneity (SD) High – Gap High – Cont. High – Unif. Low – Gap Low – Cont. Low – Unif. 0.34 (0.013) 0.36 (0.015) 0.38 (0.011) 0.021 (0.00062) 0.025 (0.0014) 0.018 (0.0023) 0.306 0.151 0.060 0.072 0.059 0.005 (0.021) (0.012) (0.0072) (0.0095) (0.0054) (0.00058) Free-standing vegetation ( g N m)2 year)1) 0 8 16 32 0.23 (0.022) 0.092 (0.019) 0.031 (0.011) 0.010 (0.0030) 0.130 0.056 0.029 0.006 (0.014) (0.014) (0.012) (0.0012) substantially affect other environmental variables, and they controlled light heterogeneity independently of average supply rate of light and soil resources (Stevens 1999). The size of the sample plots and the scale of the spatial heterogeneity was proportional to the size of individuals (Fig. 1), so that many small individuals or a fraction of the largest clonal individuals could occupy a patch of a given light availability. Thus, the spatial scale of the heterogeneity was proportionally similar to most canopy gaps found in forest and old-fields (Goldberg & Gross 1988; Canham et al. 1990; Kelly & Canham 1992). The spatial patterns of the spectrum neutral shade cloth (PAK Unlimited, Inc., Cornelia, Georgia, USA) mimicked levels of light heterogeneity observed in free-standing vegetation at the same levels of fertilizer addition (Stevens 1999). Even though the vast majority of these species spread clonally, we removed the shade frames at the end of the 1997 growing season to allow natural colonization by seed. Frames were replaced at the beginning of the following growing season. We measured percentage PAR (photosynthetically active radiation, lmol photons m)2 s)1) at 150 points spread out at 1 cm intervals along the length of a 30 · 150 cm sample plot centred under each frame (Fig. 1). We used two Quantum point sensors (LiCorr, Inc., Lincoln, NE), one 15 cm above the soil surface, the other above the vegetation, and converted PAR readings to percentage transmittance by the canopy (percentage PAR transmitted). We used the mean and standard deviation (Tilman 1982; p. 103) to quantify average supply rate and heterogeneity of light in each sample plot. We derived species richness and relative abundance from estimates of percentage cover of each species in each sample plot. We recorded all light and cover data so that, within each 30 · 150 cm sample plot, three contiguous 30 · 50 cm subplots could be analysed separately, resulting in 576 subplots used for analyses where specifically indicated below. !2002 Blackwell Science Ltd/CNRS To test the direct effects of light heterogeneity, average light supply rate, and average supply rate of soil resources, we regressed ln(species richness) on the ln(SD[percentage PAR]), ln(mean[percentage PAR], and ln(g N m)2 + 2), each measured directly for each 30 · 150 cm sample plot. To test whether species were common in low-light plots because they were regionally common, or because they preferred low-light conditions, we regressed species’ frequencies of occurrence in low-light plots on (1) species’ frequencies of occurrence in moderate-light plots and (2) their observed resource ratios in the moderate-light plots (all variables log transformed). Unlike other measures of abundance (e.g. density, biomass), each species’ frequency of occurrence (i.e. the number of plots in which a species is present/total number of plots) is precisely the contribution of each species to overall mean species richness, and the sum of all species frequencies equals mean species richness (Palmer & van der Maarel 1995; Stevens & Carson 1999a). We calculated each species’ resource ratio as the mean of (subplot percentage PAR)/(g N applied m)2 + 2), using only data from the moderate-light shade frames. Thus, the resource ratio used for each species in this study should be considered a ‘‘realized resource ratio’’. To test the assumption that species had different resource requirements, we used ECOSIM software (Gotelli & Entsminger 2001) to test whether mean electivity overlap was smaller than expected by chance, using the 15 species that occurred in at least 50 of the 576 30 · 50 cm subplots. Electivity overlap takes resource abundance into account, and is preferred to niche overlap (cf. Silvertown et al. 1999) when resources vary in abundance (Lawlor 1980; Gotelli & Graves 1996). This analysis retained each species’ niche breadth and reshuffled zero abundance values (randomization algorithm 3, Gotelli & Graves 1996). We calculated the mean percentage PAR transmitted in each subplot, and pooled each of these means into one Resource quantity and plant diversity 423 RESULTS AND DISCUSSION Average supply rate of light, and not light heterogeneity, governed species richness. The decline in average supply rate of light caused a substantial decline in plant species richness that was independent of the effects of soil resource availability and light heterogeneity (Fig. 2a; partial R2 ¼ 0.402***). In contrast, the increase in soil resources (partial R2 ¼ 0.056*) and the decline in light heterogeneity (partial R2 ¼ 0.004 NS) caused much smaller declines in richness (Figs 2b.c). The results agree with results obtained in previous years (Stevens 1999), and they provide no support for a role of light heterogeneity in influencing species richness. Species composition in the species-poor, low-light plots was best predicted by species’ relative abundances in the moderate-light plots and not by species’ habitat preferences. Specifically, species’ frequencies of occurrence in moderatelight plots explained 37% of the variability in species’ frequencies in low-light plots (Fig. 3a), whereas species’ light : nitrogen ratios explained only 6% of the variability (Fig. 3b). These results favour the energy hypothesis, where random assembly from the species pool generates local neighbourhoods, and total density in each local community determines local species richness (Hurtt & Pacala 1995; Stevens & Carson 1999a; Hubbell 2001). In addition, most species occurred most often in similar light : nitrogen conditions, and this also is consistent with the energy hypothesis. Specifically, mean pairwise electivity overlap (similar to niche overlap, Lawlor 1980; Gotelli & Graves 1996) was substantially greater than expected by chance (observed mean electivity overlap ¼ 0.516, bootstrapped mean ¼ 0.441, P < 0.001), and this broad overlap was consistent among several levels of habitat resolution (see Methods). These findings provide no support for the assumptions that underlie the heterogeneity hypothesis. The above support for the energy hypothesis is consistent with a variety of possible mechanisms. First and foremost, decreasing understorey light availability generally causes a large decrease in stem density (Stevens & Carson 1999b), and consequently richness should decrease by chance alone (‘‘More Individuals’’ hypothesis, Preston 1962; Rosenzweig & Abramsky 1993; Srivastava & Lawton 1998). Assuming that not all species exist in every plot, different species will disappear from different plots, and many species will ‘‘win by default’’ because the best low-light specialists are not present everywhere (Hurtt & Pacala 1995). The effect of increasing productivity is to exacerbate this ‘‘winning by default’’, and is not related directly to specialization in any particular light level. Further, any strict interspecific hierarchy can be weakened by positive indirect effects (Miller 1994), by large within-population variability in resource requirements (Clements 1929; Linhart & Grant 1996), or by equally strong intraspecific effects (Brokaw & Busing 2000; Hubbell 2001). Our conclusions may apply to other light-limited plant communities because the plant community used in this experiment shares many characteristics with other 2 a 2 Partial R = 0.402*** 1 0 -4 -3 -2 -1 -1 0 1 2 3 1 2 3 1 2 3 -2 Light Average LightQuantity Supply Rate Species richness of seven categories of light levels (0–5%, 5–15%, 15–25%, 25–35%, 35–45%, 45–55%, and > 55%; higher light levels were exceedingly rare). The seven light categories and four soil fertility categories resulted in 28 different resource combinations. Other combinations, including fewer resource combinations (moderate vs. low light) and more combinations (10 light levels · 4 soil fertilizer levels) achieved the same qualitative result. 2 b 1 0 -4 -3 -2 -1 -1 0 Partial R 2 = 0.056*** -2 Fertilizer c 2 2 Partial R = 0.004* 1 0 -4 -3 -2 -1 -1 0 -2 Light Heterogeneity Figure 2 Effects of (a) average light supply rate (units ¼ log[mean PAR]), (b) fertilizer (units ¼ log[g N m)2 + 1]) and (c) light heterogeneity (units ¼ log[SD PAR]) on species richness (log[no. of spp. 0.45 m)2 + 1]) (multiple R2 ¼ 0.824***; Type III sums of squares on all factors, *P < 0.05, ***P < 0.001). The above partial regression plots plotted all variables as residuals of the labelled variable, given the two factors not shown in the plot (Neter et al. 1996). As a result, these partial regression plots obscure the clustering of light supply rate treatments (low, high) and heterogeneity treatments (uniform, continuum, gap) that would be apparent in a simple scatter plot. !2002 Blackwell Science Ltd/CNRS Low-Light Frequency of Species i 424 M.H.H. Stevens and W.P. Carson 1.0 a Partial R 2 = 0.34 Partial R 2 = 0.06 b 0.5 0.0 -0.5 -1.0 -1.0 -0.5 0.0 0.5 1.0 Moderate-Light Freq. of Species i -1.0 -0.5 0.0 light-limited plant communities. As in virtually all other communities, the community used here had already undergone a sorting process, where some potential community members (e.g. annuals) had been largely excluded. As in other plant communities (e.g. Bazzaz 1996; Pacala et al. 1996), this community exhibited no stable equilibrium prior to experimental treatments. As with species in other communities, the herbaceous species in this community undoubtedly differed significantly in many ways (Grime et al. 1988) including physiological responses to variation in light levels (Latham 1992; Kobe et al. 1995; Larcher 1995; Kobe 1999). Herbaceous perennials also commonly exhibit a large degree of genetic variation within populations (Thomas & Bazzaz 1993; Geber & Dawson 1997) and local adaptation (Linhart & Grant 1996). Thus it is not clear that the community used in this experiment differs from other communities in ways that would prevent generalization to other communities where light is limiting (Bazzaz 1996). Lastly, our results and those of other studies along productivity gradients (Leibold 1996; Bohannan & Lenski 2000) suggest that the average abundance of a single resource that limits most species in a community also controls species richness. Favoured explanations for why species diversity declines with increasing productivity appear to depend on the system where the pattern occurs (Waide et al. 1999; Mittelbach et al. 2001). In terrestrial plant assemblages, increasing soil resource supply rates increase above-ground biomass, which causes declines in another key resource, light. In our study, it was the decline in average light supply rate that drove down species richness along our soil fertility gradient. In aquatic systems, increasing the inorganic nutrients increases predation rates, and this increase in predation can drive down prey species richness (Leibold 1996; Bohannan & Lenski 2000). If we envision a set of conditions that reduces the effects of predation, this set of conditions could constitute a resource that we call predator-free space (Holt 1977; Jeffries & !2002 Blackwell Science Ltd/CNRS 0.5 1.0 Resource Ratio of Species i Figure 3 (a, b)Partial regression plots of species’ frequencies (log[freq. of sp. i ]) and resource ratios (log[light/g N]) in (a) moderate-light shade frames as predictors of species’ frequencies in lowlight shade frames (multiple R2 ¼ 0.438***; Type III sums of squares on both factors, *P < 0.05, ***P < 0.001). Lawton 1984; Holt & Lawton 1994). One species may be a superior competitor for predator-free space when it ‘‘consumes’’ this resource by supporting higher predator abundances than other species, and reduces remaining predator-free space to such an extent that other species fail to persist (Holt & Lawton 1994). The decline in species richness observed along productivity gradients in both terrestrial and aquatic systems thus results from a decline in the average supply rate of the most limiting resource, whether that resource is light or predator-free space. The symmetry of the effect of predators and competitors on a population is an old idea (MacArthur 1970), and it now promises to unify explanations for the loss of diversity along productivity gradients in different ecological systems. We suggest that reducing the resource that limits most species, not the resource most limiting to total ecosystem productivity, will cause species richness to decrease as well. We propose that such a relatively simple idea, analogous to Liebig’s law of the minimum, has been overlooked in previous explanations for the complexity of ecological systems. ACKNOWLEDGEMENTS We thank A. E. K. Long and other research interns for technical assistance, and J. Fox, M. Leibold, Z. Long, T. E. Miller, P. J. Morin, and O. Petchey for comments. Supported by NSF grant DEB 9903912 to W. P. Carson, NSF grant DEB 9806427 to P. J. Morin and T. M. Casey, the New Jersey Agricultural Experiment Station, University of Pittsburgh, and Pymatuning Laboratory of Ecology (Pymatuning Laboratory publication number 110). REFERENCES Abrams, P.A. (1988). Resource productivity–consumer species diversity: simple models of competition in spatially heterogeneous environments. Ecology, 69, 1418–1433. Resource quantity and plant diversity 425 Abrams, P.A. (1995). Monotonic or unimodal diversity–productivity gradients: what does competition theory predict? Ecology, 76, 2019–2027. Al-Mufti, M.M., Sydes, C.L., Furness, S.B., Grime, J.P. & Band, S.R. (1977). A quantitative analysis of shoot phenology and dominance in herbaceous vegetation. J. Ecol., 65, 759–791. Bazzaz, F.A. (1996). Plants in Changing Environments. Cambridge University Press, Boston, MA. Bohannan, B.J.M. & Lenski, R.E. (2000). The relative importance of competition and predation varies with productivity in a model community. Am. Nat., 156, 329–340. Brokaw, N. & Busing, R.T. (2000). Niche versus chance and tree diversity in forest gaps. Trends Ecol. Evol., 15, 183–188. Canham, C.D., Denslow, J.S., Platt, W.J., Runkle, J.R., Spies, T.A. & White, P.S. (1990). Light regimes beneath closed canopies and tree-fall gaps in temperate and tropical forests. Can. J. For. Res., 20, 620–631. Clements, F.E. (1929). Experimental methods in adaptation and morphogeny. J. Ecol., 17, 356–379. Crawley, M.J. (1997). Structure of plant communities. In: Plant Ecology (ed. Crawley, M.J.). Blackwell Science, Oxford, pp. 475–531. Geber, M.A. & Dawson, T.E. (1997). Genetic variation in stomatal and biochemical limitations to photosynthesis in the annual plant, Polygonum arenastrum. Oecologia, 109, 535–546. Goldberg, D.E. & Gross, K.L. (1988). Disturbance regimes in midsuccessional old fields. Ecology, 69, 1677–1688. Gotelli, N.J. & Entsminger, G.L. (2001). EcoSim: Null Models Software for Ecology, Version 7. Acquired Intelligence Inc. and KeseyBear, Burlington, VT. http://homepages.together.net/"gentstsmin/ecosim.htm. Gotelli, N.J. & Graves, G.R. (1996). Null Models in Ecology. Smithsonian Institution Press, Washington, DC. Gough, L., Osenberg, C.W., Gross, K.L. & Collins, S.L. (2000). Fertilization effects on species density and primary productivity in herbaceous plant communities. Oikos, 89, 428–439. Grace, J.B. (1999). The factors controlling species density in herbaceous plant communities: an assessment. Persp. Plant Ecol. Evol. Syst., 2, 1–28. Grime, J.P. (1973). Interspecific competitive exclusion in herbaceous vegetation. Nature, 242, 344–347. Grime, J.P., Hodgson, J.G. & Hunt, R. (1988). Comparative Plant Ecology. Allen & Unwin, Boston, MA. Gross, K.L., Willig, M.R., Gough, L., Inouye, R. & Cox, S.B. (2000). Patterns of species density and productivity at different spatial scales in herbaceous plant communities. Oikos, 89, 417– 427. Grubb, P.J. (1977). The maintenance of species-richness in plant communities: the importance of the regeneration niche. Biol. Rev., 52, 107–145. Hardin, G. (1960). The competitive exclusion principle. Science, 131, 1292–1297. Harper, J.L. (1977). Population Biology of Plants. Academic Press, New York. Holt, R.D. (1977). Predation, apparent competition, and the structure of prey communities. Theor. Pop. Biol., 12, 197–229. Holt, R.D. & Lawton, J.H. (1994). The ecological consequences of shared natural enemies. Ann. Rev. Ecol. Syst., 25, 495–520. Hubbell, S.P. (2001). A Unified Theory of Biodiversity and Biogeography. Princeton University Press, Princeton, NJ. Hurtt, G.C. & Pacala, S.W. (1995). The consequences of recruitment limitation: reconciling chance, history, and competitive differences between plants. J. Theor. Biol., 176, 1–12. Huston, M.A. & DeAngelis, D. (1994). Competition and coexistence: the effects of resource transport and supply rates. Am. Nat., 144, 954–977. Jeffries, M.J. & Lawton, J.H. (1984). Enemy free space and the structure of ecological communities. Biol. J. Linn. Soc., 23, 269– 286. Kassen, R., Buckling, A., Bell, G. & Rainey, P.B. (2000). Diversity peaks at intermediate productivity in a laboratory microcosm. Nature, 406, 508–512. Kelly, V.R. & Canham, C.D. (1992). Resource heterogeneity in oldfields. J. Vegetation Sci., 3, 545–552. Kobe, R.K. (1999). Light gradient partitioning among tropical tree species through differential seedling mortality and growth. Ecology, 80, 187–201. Kobe, R.K., Pacala, S.W., Silander, J.A. Jr & Canham, C.D. (1995). Juvenile tree survivorship as a component of shade tolerance. Ecol. Applic., 5, 517–532. Larcher, W. (1995). Physiological Plant Ecology, 3rd edn. SpringerVerlag, Berlin. Latham, R.E. (1992). Co-occurring tree species change rank in seedling performance with resources varied experimentally. Ecology, 73, 2129–2144. Lawlor, L.R. (1980). Overlap, similarity and competition coefficients. Ecology, 61, 245–251. Leibold, M.A. (1996). A graphical model of keystone predators in food webs: trophic regulation of abundance, incidence, and diversity patterns in communities. Am. Nat., 147, 784–812. Levin, S.A. (1976). Population dynamic models in heterogeneous environments. Ann. Rev. Ecol. Syst., 7, 287–310. Linhart, Y.B. & Grant, M.C. (1996). Evolutionary significance of local genetic differentiation in plants. Ann. Rev. Ecol. Syst., 27, 237–277. MacArthur, R.H. (1970). Species packing and competitive equilibria for many species. Theor. Pop. Biol., 1, 1–11. MacArthur, R.H. & Wilson, E.O. (1963). An equilibrium theory of insular zoogeography. Evolution, 17, 373–387. Miller, T.E. (1994). Direct and indirect interactions in an early oldfield plant community. Am. Nat., 143, 1007–1025. Mittelbach, G.G., Steiner, C.F., Scheiner, S.M., Gross, K.L., Reynolds, H.L., Waide, R.B., Willig, M.R., Dodson, S.I. & Gough, L. (2001). What is the observed relationship between species richness and productivity? Ecology, 82, 2381–2396. Morin, P.J. (2000). Biodiversity’s ups and downs. Nature, 406, 463–464. Neter, J., Kutner, M.H., Nachtsheim, C.J. & Wasserman, W. (1996). Applied Linear Statistical Models. McGraw-Hill Companies, Inc, Chicago. Nicotra, A.B., Chazdon, R.L. & Iriate, S.V.B. (1999). Spatial heterogeneity of light and woody seedling regeneration in tropical wet forests. Ecology, 80, 1908–1926. Oksanen, J. (1996). Is the humped relationship between species richness and biomass and artifact due to plot size? J. Ecol., 84, 293–295. Pacala, S.W., Canham, C.D., Saponara, J., Silander, J.A. Jr, Kobe, R.K. & Ribbens, E. (1996). Forest models defined by field measurements: estimation, error analysis and dynamics. Ecol. Monogr., 66, 1–43. !2002 Blackwell Science Ltd/CNRS 426 M.H.H. Stevens and W.P. Carson Pacala, S.W. & Tilman, D. (1994). Limiting similarity in mechanistic and spatial models of plant competition in heterogeneous environments. Am. Nat., 143, 222–257. Palmer, M.W. (1994). Variation in species richness: toward a unification of hypotheses. Folia Geobotanica Phytotaxonomica, 29, 717–740. Palmer, M.W. & van der Maarel, E. (1995). Variance in species richness, species association, and niche limitation. Oikos, 73, 203–213. Preston, F.W. (1962). The canonical distribution of commonness and rarity: part I. Ecology, 43, 185–215. Ricklefs, R.E. (1977). Environmental heterogeneity and plant species diversity: a hypothesis. Am. Nat., 111, 376–381. Rosenzweig, M.L. & Abramsky, Z. (1993). How are diversity and productivity related?. In: Species Diversity in Ecological Communities: Historical and Geographical Perspectives (eds Ricklefs, R.E. & Schluter, D.). University of Chicago Press, Chicago, pp. 52–65. Silvertown, J., Dodd, M.E., Gowing, D.J.G. & Mountford, J.O. (1999). Hydrologically defined niches reveal a basis for species richness in plant communities. Nature, 400, 61–63. Srivastava, D.S. & Lawton, J.H. (1998). Why more productive sites have more species: an experimental test of theory using tree-hole communities. Am. Nat., 152, 510–529. Stevens, M.H.H. (1999). Explaining why plant species richness declines as resource availability increases; tests of the important hypotheses. PhD Thesis, University of Pittsburgh, Pittsburgh, PA, USA. Stevens, M.H.H. & Carson, W.P. (1999a). Plant density determines species richness along an experimental fertility gradient. Ecology, 80, 455–465. !2002 Blackwell Science Ltd/CNRS Stevens, M.H.H. & Carson, W.P. (1999b). The significance of assemblage level thinning for species richness. J. Ecol., 87, 490–502. Thomas, S.C. & Bazzaz, F.A. (1993). The genetic component in plant size hierarchies: norms of reaction to density in a Polygonum species. Ecol. Monogr., 63, 231–249. Tilman, D. (1982). Resource Competition and Community Structure. Princeton University Press, Princeton, NJ. Tilman, D. (1987). The importance of the mechanisms of interspecific competition. Am. Nat., 129, 769–774. Tilman, D. & Pacala, S.W. (1993). The maintenance of species richness in plant communities. In: Species Diversity in Ecological Communities: Historical and Geographical Perspectives (eds Ricklefs, R.E. & Schluter, D.). University of Chicago Press, Chicago, pp. 13–25. Waide, R.B., Willig, M.R., Steiner, C.F., Mittelbach, G., Gough, L., Dodson, S.I., Juday, G.P. & Parmenter, R. (1999). The relationship between productivity and species richness. Ann. Rev. Ecol. Syst., 30, 257–300. Wright, D.H. (1983). Species-energy theory: an extension of species-area theory. Oikos, 41, 496–506. Editor, A. Troumbis Manuscript received 11 December 2001 First decision made 11 January 2002 Manuscript accepted 19 February 2002