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1 The nature of the plant community: a reductionist view 2 3 J. Bastow Wilson Botany Department, University of Otago, Box 56, Dunedin, New Zealand. 4 5 6 Andrew D.Q. Agnew Institute of Biological Sciences, University of Wales Aberystwyth, SY23 3DA, U.K. 7 Chapter 6: Construction 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 1 2 3 4 5 6 7 8 9 Theories .......................................................................................................................................... 1 Clements and the integrated concept.............................................................................................. 3 Gleason ........................................................................................................................................... 6 Whittaker and Austin ..................................................................................................................... 7 Hubbell and chance ........................................................................................................................ 8 Grime’s C-S-R theory .................................................................................................................. 10 6.1 The triangle ...................................................................................................................... 10 6.2 Stress ................................................................................................................................ 11 6.3 Disturbance ...................................................................................................................... 13 6.4 Competition ...................................................................................................................... 14 6.5 Species/character tests ...................................................................................................... 14 6.6 Does succession provide a test of C-S-R? ....................................................................... 15 6.7 Conclusions ...................................................................................................................... 17 Tilman’s theory ............................................................................................................................ 17 7.1 The competitive process: R* ............................................................................................ 18 7.2 Succession ........................................................................................................................ 21 7.3 Conclusion ....................................................................................................................... 22 Grime versus Tilman .................................................................................................................... 22 8.1 Strategy ............................................................................................................................ 23 8.2 Species diversity............................................................................................................... 23 8.3 Competition ...................................................................................................................... 24 Synthesis ...................................................................................................................................... 30 9.1 “Too soon to tell” ............................................................................................................. 30 9.2 “Does vegetation suit our models?” ................................................................................. 30 9.3 The ‘Paradox of the plankton’.......................................................................................... 33 9.4 Heterogeneity ................................................................................................................... 34 9.5 Assembly rules ................................................................................................................. 36 9.6 Conclusions ...................................................................................................................... 39 1 Theories It is our intention here to critically review the available general theories of plant ecological 39 behaviour and eventually to relate them to our view of plant life. Our aim is to generalise over all 40 plant communities, aquatic as well as terrestrial, although we mostly have embryophytes in mind. 41 We start with certain definitions. The first distinction is between models that are: 42 43 Deterministic: Environmental filters and the constraints of plant interactions wholly and predictably control species composition. Composition does not have to be deterministic at Wilson and Agnew, chapter 6, Theories, page 2 of 41 44 the level of particular species, e.g. the determinism might be of guild representation or the 45 total number of species in the community. Versus 46 Stochastic: The community-determining processes are governed, or at least initiated, by 47 chance. Perhaps many of the species in the species pool are ecological equivalents, so 48 which arrive and establish at a site is partly “random”. Species composition is therefore 49 unpredictable, just one event of a number of similar possibilities. 50 The other distinction is between communities that are: 51 Discrete: separated by clear boundaries. Vegetation changes suddenly along an environmental 52 gradient as one discrete community gives way to another at a boundary, versus 53 Continuous: gradual change, without clear boundaries. There is gradual, species-by-species 54 change along an environmental gradient, a continuum. 55 Well, that’s the theory of theories. These two distinctions have often been confused and are rarely 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 specified explicitly. They give four logical combinations: 76 (a) y (b) (c) Fig. 6.1: The distribution of species along an environmental gradient: (a) a simplistic version of Clements, (b) a simplistic version of Gleason and (c) Whittaker (who needs no simplification). 1. Deterministic and discrete. The species composition is predictable from the environment and 77 there are distinct communities (‘associations’) with sharp boundaries and no/few 78 intermediates (Fig. 6.1a). This concept has been attributed, very simplistically, to Clements. 79 Such structure could arise either by co-evolution or by assembly of pre-adapted species with 80 only certain combinations of species being stable (Bazzaz 1987). Wilson and Agnew, chapter 6, Theories, page 3 of 41 81 2. Deterministic, but continuous. The composition is predictable but there is continuous change 82 as along an environmental gradient with no boundaries. Whittaker distinguished between 83 such a model without co-evolution (6.1b) and with it (Fig. 6.1c). 84 3. Stochastic and continuous. Gleason at times identified this with his ‘Individualistic Theory’: 85 "The vegetation-unit is a temporary and fluctuating phenomenon" (Gleason 1939). The 86 implication is that there is a random scatter of bell-shaped curves along the gradient (cf. Fig. 87 6.1b), but a literal application of this gives considerable variation in total abundance along 88 the gradient, which is surely not intended under the theory. 89 4. Stochastic and discrete. If the community structure is not deterministic, how can there be 90 discrete boundaries? By a switch (J.B. Wilson and Agnew 1992). If a propagule lands and 91 its offspring appear near it, it might modify the local environment in its favour, resulting in a 92 sharp boundary from the surrounding vegetation. A switch of types 2-4 would be required 93 for a stable mosaic (chap. 3, sect. 5.2). 94 These are the overall patterns, with their causal mechanisms of community assembly. In the first 95 part of this chapter we consider theories that have an overview of the topic of our book. However, 96 theoreticians have varied in the degree to which they have addressed interactions (chapter 2), 97 community processes (chapter 3), coexistence mechanisms (chapter 4) and pattern/assembly 98 (chapter 5, and above). 99 100 2 Clements and the integrated concept Frederick E. Clements saw communities as integrated: "an organic entity exhibiting 101 cooperation and division of labor" (Clements et al. 1929, 314; see also Clements 1905) and thus 102 "greater than the sum of its constituent species" (Clements 1935). He produced wide-ranging ideas, 103 omitting to give his theory a name because he thought it was The Truth. Phillips (1935), whom 104 Clements and Shelford (1939, p. 24) cited with the greatest approval, elaborated on this: "With 105 properties definitely unpredictable from a knowledge of the individual organisms", i.e., with 106 emergent properties (J.B. Wilson 2002). This implies deterministic structure: "The bond of 107 association is so strict ... that the same seral stage may recur around the globe ... with the same 108 dominants and subdominants" (Clements et al. 1929). “An association is similar throughout its 109 extent in … general floristic compositions” (Weaver and Clements 1938). These communities were 110 therefore nameable. This concept has been called the "Integrated" community view (Goodall 1963), 111 and the "Community-unit" view (Whittaker 1967). Clements was too good a field ecologist to take 112 all this literally, writing that communities had "more or less definite limits" forming a "mosaic, in 113 which the various pieces now stand out sharply, and are now obscure”, “[A formation] can rarely 114 have definite limits” (Pound and Clements 1900, pp. 313 & 315), the "ecotones are rarely sharply Wilson and Agnew, chapter 6, Theories, page 4 of 41 115 defined" (Clements 1905, p. 181), “Adjacent formations of the same general nature usually shade 116 gradually into each other” (Clements 1907, 216). 117 Others expanded on Clements’ theme: "All the species which are members of a given 118 association ... are adjusted more or less perfectly to one another" (Dice 1952). Tansley, another 119 ecologist with great field experience, wrote: “the complex of interactions between plants and their 120 environment does lead to a certain degree of order … The same species are constantly present in the 121 same kind of place and show the same groupings”. At equilibrium, he said, the association becomes 122 “the mature, integrated, self-maintaining quasi-organism” (Tansley 1920). One might think that 123 Braun-Blanquet (1932), who described the association as having concrete reality, would have a 124 similar view, but he could not accept the degree of integration that Clements proposed: "the 125 organismic character, the centralized organisation and the division of labour etc. is lacking in it". In 126 spite of the strength of opinions for and against these concepts – "more than the mere sum of its 127 parts", "complex organism", etc. – it is difficult to pin them down to testable features. 128 Whether communities are ‘complex organisms’ or not, the naming of them implies 129 recurrence: that the same community will be found in several different locations. This has rarely 130 been tested, but J.B. Wilson et al. (1996b) did so for roadside communities in a range of 131 environments across southern New Zealand. The problem is defining “the same” community. It 132 would be unrealistic to expect exactly the same species complement, so a baseline is needed of how 133 similar two remote quadrats should be in order to be regarded as the same. Wilson et al. answered 134 this in two ways. The quadrats had been placed in adjacent pairs. One baseline was therefore the 135 mean similarity between the two quadrats of a pair, making the question: “does one ever come 136 across another patch of vegetation as similar to this one as the patch next door is?”. Some next-door 137 quadrats would happen to be quite different, e.g. in disturbance, so Wilson et al. omitted the 10 % 138 of least similar pairs before taking the mean. The answer was basically ‘no’; for only 19 % of sites 139 was there another in the survey similar to it by this criterion (Fig. 6.2). However, another 140 comparison was available, since the pairs of quadrats at a site had themselves been placed in 141 subsites 50 m apart. Using those subsites as the baseline, the percentage of sites with vegetation that 142 occurred elsewhere in the survey increased to 83 %. Allowing for the likelihood that vegetation 143 similar to any site could have been found outwith the quadrats sampled, we have to conclude that 144 communities do recur, and in this Clements was right. Wilson and Agnew, chapter 6, Theories, page 5 of 41 145 Fig. 6.2. Does the same community recur? Comparison of between-site similarities in species composition with: (a) those between adjacent quadrats, and (b) those between subsites 50 m apart. From Wilson et al. (1996b). 146 One would imagine that Clementsian structure would arise from co-evolution. Clements 147 does not seem to have used the term, but he considered that the evolution of species was part of the 148 process of community evolution (Clements 1929) and later workers made it more explicit, e.g. the 149 "interco-ordinated evolution" of Dice (1952). The most explicit development of such views is that 150 of Dunbar (1960) who suggested that selection could operate at the level of the whole ecosystem: 151 just as an individual can die and be replaced by one of genotype with higher fitness, so an 152 ecosystem can be unstable, collapse to leave “empty environmental space”, and be replaced by a 153 community from nearby with genetic differences in some of its species, giving it a higher stability 154 (i.e. fitness). Collapse to empty space is not realistic, and the idea reeks of group selection. Darnell 155 (1970) had similar ideas, writing that “the ecosystem … is … the basic selectional unit of 156 evolution”. He suggested that species-level selection led to evolutionary adaptation, which led to 157 stability. Co-evolution cannot lead directly to stability, for selection is for the fitness of the 158 individual, not for stability or any other property of the whole community. 159 Although many are ready these days to ridicule Clements' views, some contemporary 160 ecologists are producing models in which the control of species composition is every bit as tight: 161 mainly theoretical ecologists (e.g. Drake 1990), but also field ecologists such as Cody (1989). We 162 note that Clements also made outstanding contributions to the study of ecophysiology, interference, 163 pollination, evolution and sampling methods. He was the outstanding plant ecologist of his time, 164 and of all time. Wilson and Agnew, chapter 6, Theories, page 6 of 41 3 Gleason 165 166 Gleason’s concepts are widely misunderstood. His first theoretical paper (Gleason 1917) 167 was explicitly presented as an alternative to the pattern/structure views of Clements (1916) and he 168 later declared, provocatively, that a stand of vegetation is a “temporary and fluctuating 169 phenomenon” (Gleason 1939). Clements et al. (1929, 315) in return wrote that Gleason’s concept 170 “appears to involve a confusion of ideas as well as a contradiction of terms”. 171 Yet behind the invective most of Gleason’s views were identical to Clements’. The 172 importance of competition was emphasised by Clements et al. (1929), but also by Gleason (1936) 173 who wrote that when any two plants were growing together “each interferes with the environment 174 of the other” and that this interference “may act either favourably or unfavourably” so that “the 175 vegetation … is the result of the interference”. The latter statement is as strong as any ecologist has 176 ever made, and the very opposite of the no-interaction caricature of him often presented. In the 177 process, he was among the first to suggest that subvention (‘favourable interference’) is widespread. 178 On the mechanism of succession, and the rôle of reaction in it, Gleason’s (1927) views were 179 identical to Clements’ (1916). 180 The association was described by Gleason as having “limits … fixed by space and time” 181 with “tension zones” (i.e. ecotones) between them (Gleason 1927), every community necessarily 182 having boundary and uniformity (Gleason 1936). Clements could not have put this better. The 183 landscape, in Clements interpretation, was a mosaic of different formations/associations (Pound and 184 Clements 1900), with “the same species or formation in similar but separate situations” (Clements 185 1907, 289; see also 1904), a situation he called alternation. Gleason’s (1936) concept was identical: 186 “a vegetational mosaic, composed of numerous types of vegetation, each repeated numberless 187 times, but all united into a harmonious and extensive whole”. Gleason (1917) did state that contra 188 Clements exact repetition of the same vegetation never occurs, but Clements did not expect this: 189 “No formation is uniform throughout its entire extent. … universal variation may be regarded as a 190 law of formation structure” (Clements 1907, 221). It would be amazing for someone with Clements’ 191 depth of field experience to think otherwise. 192 Clements believed that narrow transition zones (ecotones) between associations could occur 193 along gradual environmental gradients because of reaction (environmental control). Gleason (1917) 194 thought that at least in regions of “genial environment and dense vegetation” there is reaction (a 195 term that he used interchangeably with ‘environmental control’) with the result that: 196 “species of one association are then excluded from the margin of the other by environmental 197 control, when the nature of the physical factors alone would permit their immigration. The Wilson and Agnew, chapter 6, Theories, page 7 of 41 198 adjacent associations meet with a narrow transition zone, even though the variation in 199 physical environment from one to the other is gradual.” 200 Gleason’s statement is a precise summary of Clements’ view. Both are saying that very often 201 switches cause ecotones between associations, because of reaction. 202 In terms of our seven steps in community assembly (chap. 1, sect. 2 above), both Clements 203 and Gleason would have accepted A-E. Assembly rules (F) are apparent when Clements (1907, 204 294) writes on alternation: “owing to the accidents of migration and competition, similar areas 205 within a habitat are not always occupied by the same species or group of species. A species found in 206 one area may be replaced in another by a different one … Such genera and species … must be 207 essentially alike in … response to the habitat, though they may be entirely unrelated 208 systematically”. Here there is a niche in a community into which one species or another can fit, an 209 assembly rule as strong as any. So far as we can tell, Gleason would not have accepted this. 210 There were probably personalities involved, at least in their approach to science. Gleason 211 could not stomach Clements’ community-as-an-organism terminology, or the classifications that 212 flowed from it. Probably this was because he was a plant taxonomist and saw that communities are 213 not the clear objects that most taxonomic species are. “Clements versus Gleason” is a useful straw 214 man in introductions to papers, e.g. “the now well-known dispute between Clements (1916) and 215 Gleason (1926) … pitting the idea of ‘discrete communities’ against that of a ‘continuum’” (Leibold 216 and Mikkelson 2002). However, their concepts of the plant community were almost identical, 217 reflecting deep understanding of plant communities and offering a strong springboard for future 218 work if others would notice them. 219 220 4 Whittaker and Austin Whittaker clearly adhered to theory 2, continuous, but deterministic. The community is "a 221 distinctive living system with its own composition, structure, ... development and function" 222 Whittaker (1975a), with “emergent characteristics (Whittaker and Woodwell 1972). Exclusion-by- 223 interference was the deterministic structuring process: "The unique identification of niche with 224 species within a particular community ... is not a matter of chance, but as the result of competitive 225 exclusion" (Whittaker and Levin 1975, p30). No one has believed more strongly in co-evolution as 226 a cause of community structure, though in Whittaker’s case it was co-evolution towards mutual 227 avoidance: "toward scattering of their population centers along environmental gradients" (Whittaker 228 and Woodwell 1972, see also Whittaker 1967). Thus, “the community is an assemblage of 229 interacting and co-evolving species" (Whittaker and Woodwell 1972). From his 'Gradient Analysis' 230 results Whittaker (1967) concluded that vegetational change along environmental gradients was a 231 continuum1. This is not the concept of Gleason, who wrote: “The adjacent associations … meet Wilson and Agnew, chapter 6, Theories, page 8 of 41 232 with a narrow transition zone, even though the variation in physical environment from one to the 233 other is gradual: Gleason 1917, 470). 234 From Whittaker’s ideas, Austin and co-workers developed a ‘Continuum Theory’, defined 235 as: “the organisation of vegetation structure and composition in terms of continuous change in 236 properties along environmental gradients” (Austin and Gaywood 1994). This begs the question of 237 what the environmental gradients are and how they are measured. If, as usual, the gradients are 238 calculated from geographical trends in environment (e.g. Leathwick and Austin 2001) there will 239 certainly be sudden change where switches locally modify the environment to produce a sharp 240 boundary: rainforest/savannah, treeline, fog-catching boundaries, etc. (J.B. Wilson and Agnew 241 1992). It is not clear how deterministic communities are under Continuum Theory. 242 Oksanen and Minchin (2002) defined the simplest version of Continuum Theory as being 243 that “species have symmetric, unimodal responses to ecological gradients”. Austin and Gaywood 244 (1994) proposed that species response curves are skewed, with the longer tail being towards the 245 middle of mesic position. The latter must be hard to define. Austin et al. (1994) did find that all nine 246 SE Australia Eucalyptus species that they examined showed significant skewing along a gradient of 247 mean annual temperature, in the expected direction if ‘mesic’ is defined as 11.5 °C. This could 248 reflect fuzzy control by an interference filter in the mesic direction, but sharp control by an 249 environmental filter in more extreme environments. However, the conclusion will depend on the 250 type of curve fitted and how skewed is skewed (significance is not the best guide to effect size). 251 Moreover, skewness can be reliably determined only when there is good evidence that the whole 252 environmental range of the species has been sampled (M.P. Austin pers. comm.). A conclusion of 253 skewness also depends on the way the X-axis is expressed, for example a simple gradient assumes 254 that the difference between 0 mm and 300 mm rainfall is equivalent to that between 2000 and 2300 255 mm, which seems unlikely. The occurrence of bimodal curves could be interesting, but not on a 256 proxy gradient such as altitude where it could be due to frost above treeline and similar frost in the 257 valleys due to cold air drainage. Austin (1985) commented: “The occurrence of bimodal curves … 258 seems well established”. However, he cites Whittaker whose evidence for bimodality was very 259 weak (J.B. Wilson et al. 2004). We have not been able to find any good example of bimodality. 260 Clearly community gradients exist but we believe that switches often produce boundaries in 261 underlying environmental gradients. Analysis of the shape of distributions along gradients seems to 262 be a diversion from our search for the nature of the plant community. 263 264 265 5 Hubbell and chance A rôle has often been proposed for stochasticity / chance / random-effects / disorderliness in the construction of plant communities (e.g. Lippmaa 1939; Richards 1963; Fowler 1990; Sykes et Wilson and Agnew, chapter 6, Theories, page 9 of 41 266 al. 1994). The assumption is that many species are ecological equivalents2 of each other. This is 267 behind concepts ‘3’ and ‘4’ at the beginning of this chapter. However, chance does not really exist 268 (cf. chapter 4). Seeds are sometimes said to disperse randomly, but in fact they disperse under the 269 laws of physics, it is just that eddy diffusion is very complicated. Everything happens under the law 270 of physics (except arguably the resurrection of the Our Lord Jesus Christ: J.B. Wilson 2002), and 271 above the scale of the atom chance plays no part. 272 Hubbell and Foster (1986) make the concept of chance explicit, with saying that “biotic 273 interactions … are not very effective in stabilizing particular taxonomic assemblages, in causing 274 competitive exclusion, or in preventing invasion of additional species” because there are 275 “ecologically equivalent species”. Therefore, “chance and biological uncertainty may play a major 276 role in shaping the population biology and community ecology of tropical tree communities”. 277 Hubbell (2001) developed these concepts into a full ‘Neutral Model’ in which species are 278 equivalent in their demography and dispersal, i.e., in which niche differences play no rôle. He 279 discovered, apparently to his surprise almost as much as anyone else’s, that many of the features of 280 ecological communities that ecologists have long been discussing, such as relative abundance 281 distributions, species-area relations and island biogeography, can be predicted on this basis. 282 Hubbell’s (2001) theory does not imply that even on one tropic level all species actually have the 283 same niche: “No ecologist in the world with even a modicum of field experience would seriously 284 question the existence of niche differences among competing species” (Hubbell 2005). Hubbell’s 285 (2001) approach is to start with the simplest null model, which in this case comprises the functional 286 (niche) equivalence of species, and then to add to the theory only when necessary to explain 287 observations in the real world. Hubbell’s earlier work had described niche differences in the very 288 tropical rainforest that he often takes as his example: “Some tree species are largely restricted to 289 slopes, whereas others are predominant on flat ground or in the seasonal swamp”, “Shade-tolerant 290 shrubs and understorey trees are also recognizable guilds. Finally, there are gap-edge regeneration 291 specialists” (Hubbell and Foster 1986). These effects would tend to cause aggregation within 292 species, but the same workers demonstrated “pervasive” negative effects of plants on neighbours 293 that were of the same species. Such effects were confirmed when Uriarte et al. (2004) estimated the 294 effect of neighbouring saplings on the diameter growth of other saplings on Barro Colorado Island, 295 work in which Hubbell has been involved. For almost half of the species they could find species- 296 specific effects, including more competition if the neighbours were conspecific, or confamilial, or in 297 the same gap/shade-tolerant guild. All this emphasises that Hubbell’s (2001) thesis is intended as a 298 null model, not a best-fit model. 299 Wootton (2005) tested the theory using a 12-year record of transitions in an intertidal 300 community (sessile animals and algae) to parameterise a Hubbell (2001)-type model. Model Wilson and Agnew, chapter 6, Theories, page 10 of 41 301 predictions matched the observed relative abundance distribution (RAD), but there was no 302 alternative model (RAD curves tend all to look rather similar because they monotonically decrease), 303 and the confidence limits for the model prediction were wide. Many observed curves could have 304 fitted. However, observed species abundance in mussel-removal plots bore no relation to the 305 model’s predictions. This confirms the conclusion of Chave (2004) that many ecological models 306 can result in the same patterns, especially of the relative abundance distribution (which was already 307 known, see J.B. Wilson 1991), but that does not prove that any one of them is correct. 308 If the chance theory were correct, there would be no reason to expect community re- 309 assembly except by chance and hence no predictability. However, the reverse argument cannot be 310 made: a failure to predict species composition well from the measured environmental factors is no 311 evidence for chance, as we discussed in chapter 4, section 9. However, Hubbell has most usefully 312 reminded us that any statement in community ecology must be made against the background of an 313 appropriate null model. 6 Grime’s C-S-R theory 314 315 316 317 6.1 The triangle Philip Grime’s (1974; 2001) theory is based almost entirely on the C-S-R triangle, a contrast between types of habitat and adaptation to them (Fig. 6.3): 318 ─ high-productivity, low-disturbance habitats / strongly-competitive species (C), 319 ─ low-productivity habitats / stress-tolerant species (S) and 320 ─ high-disturbance habitats (D) / ruderal species (R). C (competition) Disturba nce (ruderal) R (disturbance) D C-S-R K r S (stress) Untenable triangle Productivit Disturbanc e Heathrow airport, main runway Fig. 6.3: The C-S-R triangle of Grime (1979). 321 Productivity Wilson and Agnew, chapter 6, Theories, page 11 of 41 322 This gives a C-S-R triangle of species and an equivalent C-S-D equilibrium of the sites they are in 323 (Grime 1988). In the original 1974 formulation of C-S-R theory one axis was RGRmax, i.e. relative 324 growth rate in the first few weeks after germination and in optimal conditions, high values defining 325 the C-R side of the triangle, but Hodgson et al. (1999) developed a method for placing a species 326 within the triangle by weighting several characters. Even a few simply-obtained characters such as 327 canopy height, flowering period and SLW can give good prediction of C-S-R category for most 328 species (Bogaard et al. 1998; Hodgson et al. 1999), but a wider, and perhaps more meaningful, 329 range of characters is desirable (Caccianiga et al. 2006). These ideas were supported by the 330 analytical models of Bolker and Pacala (1999), showing that three, and only three, spatial strategies 331 are possible. Their ‘Exploitation’ strategy can be matched with C, the ‘Colonisation’ strategy with 332 ‘R’ and the ‘Tolerance’ strategy with S. We note that Grime has also considered the ecosystem- 333 level processes and the rôle of within-community, within-species genetic variation. 334 6.2 Stress 335 Stress is clearly defined in C-S-R theory as "The external constraints which limit the rate of 336 dry matter production of all or part of the vegetation". The disturbance axis (R–C) recalls the r-K 337 spectrum of MacArthur and Wilson (1967), but the S (stress tolerators) axis is new to C-S-R theory. 338 Grime (2001) sees sees the C-S line as being an expansion of K (Fig. 6.3). He assumes that plants 339 cannot grow where disturbance and stress are both high (the grey area in Fig. 6.3), such as the 340 middle of Heathrow Airport’s main runway where the soil is too dry and low in nutrients (i.e. non- 341 existent) and is disturbed every two minutes (Fig. 6.3). The omission of the ‘untenable triangle’ 342 leaves the C-S-R triangle (Fig. 6.3). 343 There remains the problem of stress to which species. Take an alpine herbfield, where 344 temperatures are low (Körner 2003b). Humans would consider this a stress (except perhaps skiers), 345 and so would most plants. Yet under climate warming, heat-loving plants would be able to 346 establish, and probably by interference exclude the alpines. How can we say that the alpines were 347 under stress before, when they were growing to their hearts' content, but that they are not under 348 stress now that they are dead? There may be more to their death than interference: some alpine 349 species grow poorly in ‘low-stress’ sea level conditions, probably because they lose carbohydrate in 350 the warmer winter temperatures there (Stewart and Bannister 1973). One would think that the 351 phytometer approach of Clements and Goldsmith (1924) would be ideal: planting the same species 352 into a range of communities and measuring its growth. However, Grime has chosen to define stress 353 on a whole-community basis and on the basis of the plants presently occurring, and is clear and 354 consistent in that. Wilson and Agnew, chapter 6, Theories, page 12 of 41 355 Perhaps the most difficult habitat for C-S-R theory is forests. The dominant trees of tropical 356 rainforests might be seen as the ultimate competitors, but Hubbell (2005) described them as the 357 “competitive (stress tolerator) functional group”, with characteristics typical of S species: tolerance 358 of low light levels (as juveniles), long life spans, high resistance to pests and herbivores. This rather 359 depends on how the dominants regenerate. If they grow fast from seed or from suppressed seedlings 360 after disturbance they could be C species, almost R. Others have seen the dominants as species that 361 are shade tolerant and grow slowly up through the canopy, or sit still “conservatively” tolerating the 362 stress of shade and make bursts of growth during temporary gaps, in which case they are S species 363 as juveniles, though not as adults. Indeed, the understorey plants of evergreen forests tend to be 364 slow-growing evergreens, S species (Grime pers. comm.). Then again, trenching experiments have 365 shown that competition for nutrients is often more limiting than light to herbs and seedlings on the 366 forest floor (Coomes and Grubb 2000). 367 It is very difficult to characterise a whole site as low/high stress in terms of light, since in a 368 productive environment there will always be some species low in the canopy that have to tolerate 369 the stress of shade from taller plants (Pigott 1980). Grime had envisaged that any community would 370 comprise a mixture of species with different C-S-R status, but in this case it is not just a case of the 371 overlap of species' ecological ranges, or of micro-habitat variation, because, as Pigott notes, the 372 species "grow together in vegetation ... because they possess different strategies" [italics ours]. 373 Since the r-K spectrum is widely accepted, the controversial aspect of C-S-R theory is that 374 different kinds of stress have much in common, resulting in a consistent S-species type. Such 375 species grow slowly, at least in their natural habitat. Leaves can therefore be produced only 376 infrequently, so they must function for more than a year. This results in a whole suite of leaf 377 characters, e.g. evergreen, low maximum photosynthetic rate, low percentage nitrogen, abundant 378 defence compounds, small, often stiff and tough, needle-like and with high SLW (Reich et al. 1991; 379 1992). This suite of S characters is also part of leaf costs / amortisation theory of Orians and Solbrig 380 (1977), indeed we can see the relation: C-S-R = r/K theory + Leaf Amortization theory (J.B. Wilson 381 and Lee 2000). Since the original formulation of C-S-R, Grime (1988; 2001) has concluded that the 382 common underlying stress is a deficit of major mineral nutrients either directly or as a result of 383 other stresses. This view is comparable to that of some physiologists, who have proposed a unifying 384 stress mechanism (see J.B. Wilson and Lee 2000). Craine (2005) considers this at least unproven. 385 It has sometimes been suggested that low RGRmax is directly adaptive in stress environments 386 (e.g. Hunt and Hope-Simpson 1990). However, adaptation to stress environments is by relatively 387 high RGR in those environments, not by low RGR in a hypothetical optimal environment. Low 388 RGRmax is adaptive to stress environments only via a strategic trade-off: "It is possible that genetic Wilson and Agnew, chapter 6, Theories, page 13 of 41 389 characteristics conducive to rapid growth in productive conditions become disadvantageous when 390 the same plants are subjected to environmental extremes" (Grime and Hunt 1975). 391 A limitation to the generalisation of C-S-R is that different types of stress favour different 392 types of species (Grime 1988). Moreover, not all species are adapted to one particular stress in the 393 same way. A dramatic example of this is seen in the wide range of life forms that are found in 394 adaptation to variable water stress in deserts. Some deserts, e.g. the Namib, have predictable rain in 395 one season (summer for the Namib) and support relatively few extant life forms, whereas others 396 such as the North American deserts, with rainfall less predictable from year to year, support a very 397 wide range. Some species are adapted by being avoiders, including stem succulents such as cacti 398 and leaf succulents as in members of the Crassulaceae, but also annuals/ephemerals which avoid 399 water stress as adults by dying and surviving water stress as dormant seeds. Yet others, like the 400 shrubs, are tolerators, having very low water potentials in their tissues in dry periods and shedding 401 leaves and even branches, but tolerating this without death. Again, this emphasises C-S-R as a 402 simplification. 403 Whereas C-S-R theory sees all stresses as in some sense equivalent, the ‘Centrifugal 404 Theory’ of Wisheu and Keddy (1992) emphasises their differences, placing them on multiple axes 405 diverging from the productive sites. As Austin and Gaywood (1994) point out, this is a display, not 406 a theory because it does not make testable predictions. 407 6.3 Disturbance 408 Grime’s definition of disturbance is unambiguous: "The mechanisms which limit the plant 409 biomass by causing its partial or total destruction". This refers to the whole community, but this 410 brings the problem that what is a disturbance for one species might not be for another (paralleling 411 one of the criticisms relating to stress). For example, the mowing disturbance of Burke and Grime 412 (1996) will have disturbed the tall species, but increased the resource (light) availability to short 413 ones. Selective grazing is another example. Short or unpalatable species might be described as 414 ‘disturbance avoiders’ in contrast to ‘disturbance tolerators’, but it is not clear how this distinction 415 fits into C-S-R theory. How does C-S-R theory incorporate autogenic disturbance (chap. 2, sect. 6)? 416 One answer to this is that C-S-R theory is largely about the characters of species and that species of 417 different C-S-R status can co-occur. However, productivity, stress and disturbance are all defined 418 per site, and there is also a C-S-R triangle of sites, for example Grime (2001, Fig. 40) shows 419 “habitats experiencing intermediate intensities of competition, stress, and disturbance”. Wilson and Agnew, chapter 6, Theories, page 14 of 41 420 421 6.4 Competition Some have rejected the concept of competitiveness as an overall plant attribute, i.e. the 422 concept that a species that is a superior competitor for one resource is also a superior competitor for 423 all other resources (e.g. Grubb 1985). This is one prediction of C-S-R theory that can be tested quite 424 clearly. Contrasting shoot competitive ability (for light) with root competitive ability (for water and 425 the major nutrients) for the same species in the same conditions, the data assembled by J.B. Wilson 426 (1988c) indicate 13 (22 %) cases where the relative competitive abilities of two species were in a 427 different direction between shoot and root competition, and 46 (78 %) where they were in the same 428 direction, a significant difference. This supports the general idea of interference ability, but not that 429 it invariably applies to all types of interference. Non-transitivity of competitive ability (chapter 7) 430 would make a nonsense of the idea of overall competitive ability, but it seems to be rare or non- 431 existent (chap. 4, sect. 4). Another prediction of C-S-R theory is that competition intensity will be 432 lower in stress sites (Grime 2001). Grime (op. cit.) writes: “Some ecologists are extremely reluctant 433 to recognise the declining importance of competition for resources in unproductive habitats”. We 434 agree. We are amongst them, as we discuss below. 435 6.5 Species/character tests 436 The basic assumption of C-S-R theory is that there are “design constraints" (Grime 1988, 437 Grime et al. 1988) that limit viable character combinations. Reich et al. (2003) found a compelling 438 negative correlation between leaf lifespan and net photosynthetic capacity, though of course with 439 scatter, and a slightly weaker one via leaf N. Grime et al. (1987) made a more general test by using 440 a range of characters to classify species with cluster analysis and then looking for correlation 441 between the resulting groups and the three C-S-R 'strategies'. They found, in one analysis, a group 442 of low-stature, evergreen species with 'tough' foliage comparable to the S group. Grime et al. (1997) 443 used 67 characters, including experimental responses, to ordinate 43 species. They could informally 444 overlay a C-S-R triangle on the ordination diagram. There was also a good fit between this 445 ordination and that derived in Grime et al. (1988) from field distributions: e.g. the three species in 446 the C corner of the character ordination are in that corner in the distribution ordination, with 447 comparable fits for the S and R corners. This gives some support to C-S-R theory. A more direct 448 test of these trade-offs would be to find unoccupied character space, beyond the triangle. 449 Other tests can be made by determining whether species of the right type occur in the right 450 habitats. For example, Madon and Médail (1997) examined the distribution of species in a 451 Mediterranean grassland. Sites with a high cover of S species (but how they were designated as S 452 species is unclear) also contained a higher cover of annuals, but they do occur in S sites as well as R Wilson and Agnew, chapter 6, Theories, page 15 of 41 453 ones and indeed are frequent in most such semi-arid grasslands and in some deserts. This 454 emphasises that C-S-R theory is a generalisation, not a law of the type that physicists can have. 455 Caccianiga et al. (2006) attempted to test C-S-R theory on succession on glacial moraines in 456 Italy. The concept is valid and it was a brave attempt, but unfortunately they used guessed species 457 cover. They found a succession3 from communities dominated by R species to those dominated by 458 S ones. Such a change is predicted by C-S-R theory, but there are problems. The prediction is for an 459 intermediate trend towards the C corner, and we would not expect the S corner to be reached within 460 the <200 yr of their dataset, though both of these may have been because the environment was a 461 high-stress one. Most problematic is that under C-S-R theory the R→S change that Caccianiga et al. 462 found occurs in a secondary succession; in a primary succession, which theirs certainly was, the 463 trend should be S→C-S-R→S (Grime 2001). 464 An experimental approach is perhaps better, since one can be sure what the habitat 465 differences are. Moog et al. (2005) applied four basic treatments – sheep grazing, mulching with 466 hay, burning in winter and control (‘succession’) – at 14 sites in southwest Germany. The 467 vegetation resulting 25 years later was classified in terms of C-S-R composition, using guessed 468 cover and calculating species’ C-S-R rankings by the method of Hodgson et al. (1999). There were 469 some changes in community C-S-R status that agreed with the theory. For example, grazing and 470 twice-yearly mulching, both presumably disturbances, reduced C-ness to c. 0.35 below the control. 471 Grazing and burning increased S-ness by c. 0.2 above the control. Moog et al. explained this 472 grazing effect due to the herbivory defence of S-strategists, or due to nutrient removal, though it is 473 not clear whether grazing will reduce nutrient availability or increase it through nutrient recycling. 474 They explained the increase in S-ness with burning as an indirect effect, that burning favoured 475 species with rhizomes which happened to be S-strategists, though severe burning can lower 476 nutrients (Certini 2005). Grazing and mulching increased R-ness by 0.4-0.5 above the control, as 477 predicted by C-S-R theory. However, large differences in C-S-R status were found between the 478 same treatment at different sites, up to 1.0 difference. Not clear-cut. 479 6.6 Does succession provide a test of C-S-R? 480 We shall consider here only secondary succession, because the most clear-cut tests are 481 available for them (J.B. Wilson and Lee 2000). Grime's (1979) interpretation was that for sites of 482 differing productivity there would be separate successional pathways, all starting from the R corner, 483 and all ending (eventually) in the S corner (Fig. 6.4a). At the start in the R corner, the S and C 484 succession trajectories are very close (Fig. a). Thus difference between stressful and benign 485 environments is negligible in plant characters, giving the opportunity for the same species to occur, 486 i.e. the same ruderal species in stressful as in benign habitats (Fig. 6.4b). Grime’s figures (Fig. 6.4a) Wilson and Agnew, chapter 6, Theories, page 16 of 41 487 do not show any sites reaching up to the C corner but presumably they do, or there’s no point in 488 having a C corner. 489 Fig. 6.4. C-S-R theory and specialist pioneers. Grime suggested that sites with differing degrees of stress would follow different pathways. - - - indicates the part of the succession which will probably be slow. (b) The lack of difference between C and S in the R corner makes it possible for the same species to occur along different pathways. 490 Considering the three S habitat types discussed by J.B. Wilson and Lee (2000), the main pioneer of 491 degraded land in Naiman Banner County, Inner Mongolia, is Agriophyllum squarrosum, a specialist 492 pioneer of dunes in semi-arid areas (Zhang et al. 2005). In Sonoran Desert oldfields, pioneers 493 include the very widespread weed Taraxacum officinale (dandelion), but also species such as 494 Salsola kali (tumbleweed) a ruderal annual of dry, often alkaline areas (Castellanos et al. 2005). 495 These recent examples add to the conclusion of Wilson and Lee (2000) that in arid habitats the 496 majority of secondary pioneers conform to the prediction of Fig. 6.4a in not being restricted to 497 deserts, though some are. The secondary pioneers of saltmarsh gaps are generally species of the 498 lower saltmarsh, as would be expected, since all species that occur on salt marshes, ruderal or not, 499 have to be quite salt tolerant: no agreement with prediction. Moving to alpine stress, the species 500 present in mid succession in southern New Zealand alpine grassland included the dicots Anisotome 501 aromatica, Plantago novae-zelandiae, Colobanthus strictus and Epilobium alsinoides (Lloyd et al. 502 2003), the last extends down to the lowlands, but the others are basically montane / subalpine in 503 range. J.B. Wilson and Lee (2000) gave an example from alpine Scotland where the first colonists 504 were not specialist pioneers, but species of several S habitats. However, pioneers in the Andean 505 alpine oldfields include the very widespread ruderals Erodium cicutarium (stork’s bill), Poa annua Wilson and Agnew, chapter 6, Theories, page 17 of 41 506 and Rumex acetosella (sheep’s sorrel; Sarmiento et al. 2003). There seem to be no generalisations 507 here. 508 Grime (2002) shows primary succession in S environments as occurring within the S corner 509 of the triangle. J.B. Wilson and Lee (2000) argued that only specialised species would be able to 510 tolerate the environment of an S site. This gives the likelihood of autosuccession, with no 511 specialised secondary pioneer species. Again, C-S-R theory strictly predicts the same type of 512 species, but if there is space for fewer different niches there will tend to be fewer different species. 513 J.B. Wilson and Lee (2000) tested this prediction in relation to four types of stress. In alpine 514 environments they cited two examples, one where autosuccession was occurring and one where it 515 was not. Sarmiento et al. (2003) found that in high-Andean oldfield succession, of the eight most 516 abundant species in the undisturbed community, four were absent the first year after abandonment, 517 three others were present only in traces and the remaining one made up less than 1 % of the cover – 518 no autosuccession here. In arctic tundra, another habitat cited by Grime (1979) as high-stress, there 519 are usually pioneers, but autosuccession is occasionally seen (J.B. Wilson and Lee 2000). 520 Autosuccession is often seen on saltmarsh, especially on the more S lower saltmarsh, though it is 521 not certain that Grime would count saltmarsh as an S habitat. For desert, E.A. Allen’s (1991) 522 suggestion that autosuccession is common is not supported by the literature (J.B. Wilson and Lee 523 2000) or by Castellanos et al. (2005) in the Sonoran Desert, though the evidence of Zhang et al. 524 (2005) from China is mixed. There is some tendency for autosuccession to occur in the most 525 extreme S habitats, though it occasionally occurs in mesic habitats (J.B. Wilson and Lee 2000). 526 6.7 Conclusions 527 There have been many more criticisms of C-S-R theory, but most of them have missed its 528 point (J.B. Wilson and Lee). Several of the predictions of C-S-R theory are very difficult to test, 529 reducing the value of the theory as an explanatory model for the structure of plant communities. 530 Even for predictions that are more easily tested, there has been little quality evidence. However, the 531 evidence so far is that predictions from C-S-R succeed more often than they fail so that it is useful 532 generalisation. 533 534 7 Tilman’s theory Tilman (Titman 1976; Tilman 1982; 1988; etc.) has produced a number of ideas. Here we 535 emphasise those that have made a particular contribution to the topic of our book. The concepts 536 have been described as having “a hard centre but woolly edges”: that is, there is a solid core of 537 irrefutable mathematics, but it is not always clear how to apply them to the real world. Some Wilson and Agnew, chapter 6, Theories, page 18 of 41 538 aspects – strategy, species richness and competition – are considered in comparison with Grime’s 539 theory (section 8). 540 Titman (1976) concluded from his first experiments: “long-term coexistence of competing 541 species was observed only when the growth rate of each species was limited by a different 542 nutrient”. This is standard Gaussian exclusion by interference, but he developed his R* theory of 543 how it happened. He later developed a concept of spatial niches (Tilman 1988), and then embraced 544 the fugitive model (Tilman 1994; see chapter 4 above). Craine (2005) has documented the 545 developments and retreats of Tilman’s theories. ~ 546 7.1 The competitive process: R* 547 Tilman’s (1982) R* theory is that a particular species in a particular set of environmental 548 conditions has for a particular resource R a value R*, which is the lowest [R] (i.e. concentration of 549 R) at which it can grow in monoculture. Above its R* the species can grow, absorb R, and will 550 therefore lower [R] towards R*. In mixtures, where R is limiting, as [R] becomes lower each 551 species will drop out as [R] drops below its R* and it can no longer grow. Apparently no species 552 will enter during this process. The one species left will be the one that can tolerate that the lowest 553 [R], and the concentration of R at that moment will be its R*. To summarise, the species with the 554 lowest R* will be the superior competitor. The model is deceptively simple. Application to the real- 555 world terrestrial communities is another matter. 556 Major soil nutrients (NPK) 557 Tilman (1981) found that the R* model explained which species of alga won in a microcosm 558 experiment with inorganic nutrient limitation, in constant temperature, a constant daily light regime, 559 fixed lighting conditions and with the solution well mixed by flow and shaking. T.E. Miller et al. 560 (2005) surveyed the literature and found 11 similar plankton microcosms experiments and (contra 561 Miller et al.’s conclusion) all tended to support the theory (Wilson et al. submitted). 562 The situation is not so clearcut in soil where the environment is variable in time and space. 563 Tilman and Wedin (1991a; b) in field plots at Cedar Creek found the outcome of competition on 564 low N soil was predicted by R* in some cases. Comparing the grasses Agrostis scabra (bent) with 565 Schizachyrium scoparium (little bluestem) the two performed approximately equally in 566 monoculture, but in competition S. scoparium was the clear winner. By R* theory, it should have 567 reduced N in the soil (both nitrate and ammonium) to a lower level than A. scabra, and indeed 568 available N as measured by KCl extraction was lower. It should also have been able to grow at a 569 lower N level, but the experimental results do not tell us one way or the other. A. scabra suffered in 570 competition at the low N levels that S. scoparium produced, but not necessarily because of them. 571 Indeed it suffered almost as much in competition in the two higher N levels. Very similar effects Wilson and Agnew, chapter 6, Theories, page 19 of 41 572 were seen in competition between the A. scabra and Andropogon gerardii (big bluestem) and in a 573 less clear-cut way in competition between A. scabra and Agropyron repens (quackgrass). These 574 results are ambiguous: perhaps A. scabra is more efficient at N uptake, but suffers in light 575 competition. Indeed, it grew shorter than other species, including S. scoparium in the experiments 576 of Tilman (1986). 577 Even conceptually it is difficult to apply R* to soil nutrients. Plants will lower [N/P/K] to 578 some extent. However, these elements are always being mineralised from organic matter by 579 decomposers at rates which depend on the environment, soil microflora and the fauna. Leaf leachate 580 also makes some contribution. They are added in normal and occult precipitation, and in the settling 581 of atmospheric particulates. Against this, they can be made unavailable by being immobilised from 582 solution to exchangeable form and then to unavailable forms, organic or mineral, by being taken up 583 by bacteria and other micro-organisms, or eventually by being lost by leaching and soil erosion. In the 584 case of N, the mineralisation is to ammonium, taken up thus by some plants, but for others first 585 nitrified to nitrate and taken up in that form. It can also be fixed from the air by free-living soil micro- 586 organisms and in larger quantities by the symbioses with legumes and several other species and, 587 perhaps thus added to the soil or perhaps not. It can be lost by denitrification/volatilisation. P and K 588 can be made available by hydrolysis of minerals, especially of feldspars and apatite, a process that 589 can be speeded by exudates from plant roots. Fire can increase the loss by erosion and volatilisation, 590 and animals can cause local loss of nutrients through redistribution. Vitousek (2004) describes many 591 of these processes for Hawai’i. 592 These processes are all dependent on water and some are affected by the pH of the soil, and 593 therefore depend on various environmental factors. As a result, all are patchily available in 2-D 594 space. Since most of nutrient processes start at the soil surface there is usually considerable 595 variation with depth. Availability also varies markedly in time, varying stochastically and with 596 season. Nitrogen will normally be most abundant in spring, when maximum growth occurs (Tilman 597 and Wedin, 1991a, measured soil N in summer). Plant roots will hardly lower total [P], since most is 598 insoluble. Unlike N, with its fast-diffusing NH3 and NO3 ions, available P is almost immobile so 599 plants cannot rely on diffusion to acquire the element from the soil as a whole, but have to forage 600 for it by growth. The cylinder around the root from which they take up P can be as narrow as 1 mm in 601 radius (Kraus et al. 1987). This basic difference between competition for mobile N and that for 602 immobile P was pointed out by Bray (1954), and Craine (2005) emphasised how misleading an 603 overall [R] value is with P, since there is localised depletion. How can R* theory be applied in these 604 circumstances? Wilson and Agnew, chapter 6, Theories, page 20 of 41 605 Water 606 Water is available intermittently in time, a complication for R* theory, and often at different 607 depths. Most water lands on the surface and perhaps moves down, but water can also be available 608 from deep aquifers and by hydraulic lift plants. Thus, plants are not using the same pool of water in 609 time (ephemeral annuals versus perennials) or space (deep-rooted shrubs and perennial grasses 610 versus shallow-rooted cacti). How does R* apply then? 611 Light 612 In light competition, canopy species reduce the resource availability below them, but not 613 above them; R* theory knows nothing about directions. By R* theory, the climax canopy species 614 would reduce lower-stratum light to low levels, and be able to tolerate these low levels and hence 615 regenerate. But this depends on whether there is continuous regeneration, large-gap regeneration or 616 single-tree replacement, and in the latter two cases whether the next generation is from dispersal, 617 the seed pool, from suppressed seedlings or from advanced regeneration. All these modes occur, 618 often within the same community, different species regenerating by different modes (e.g. Lusk and 619 Ogden 1992; Thomas and Bazzaz 1999), but there seems to have been no review of the relative 620 importance of these modes. 621 Assuming continuous below-the-canopy regeneration, R* predicts that shade-tolerant plants 622 will achieve tolerance by having a lower light-compensation point. Kitajima (1994) compared 13 623 tree species of Barro Colorado Island rainforest. Shade tolerance was determined as the survival 624 rate of seedlings under a shade cloth that gave light intensity very similar to that of the forest 625 understorey, with supporting evidence by field observations of mortality in the understorey and the 626 tendency of the species to occur in light gaps. Survival in shade was uncorrelated with the light 627 compensation point (r = +0.27) and with dark respiration (r = +0.25 on a mass basis). Eschenbach 628 et al. (1998) examined tree species of North Borneo lowland dipterocarp forests in the field. Light 629 compensation points were attained mainly between 6 and 9 μ mol photons m-2 s-1 but were higher 630 for pioneering species. This supports an R* interpretation in continuous regeneration, but the 631 presence of pioneer species reminds us that gap regeneration is occurring. 632 The truth is that regeneration in forests, and probably in some other communities, is too 633 complex to fit R* theory. 634 Conclusion 635 None of these complications occur in environmentally-constant, homogenous, nutrient- 636 limited habitats such as a lab tank with planktonic algae that Tilman had in mind when he formed 637 R* theory, and it usually gives correct predictions for them (Wilson et al. in press). In real habitats, 638 R* theory is not only very complex to test, it is often impossible to see how to apply it or test it. Wilson and Agnew, chapter 6, Theories, page 21 of 41 639 There are many, obvious simplifications in this model. It would have been very useful had R* been 640 able to predict competititve ability, for the many previous attempts to find empirical correlations 641 between competitive ability and plant characters have generally failed (e.g. Jokinen 1991). An 642 exception is the obvious correlation of height when competition for light is important (e.g. Balyan 643 et al. 1991), a correlation expected under C-S-R theory, but not under R* theory. There is a problem 644 that under R* theory competitive exclusion would lead to only one species remaining, yet 645 communities almost always comprise many species, not least in Tilman’s own site at Cedar Creek. 646 There, in a 49-yr oldfield (the second-oldest field) there were 12 species per 0.5 m2 quadrat (Inouye 647 et al. 1987). There was not even a downward trend: the 49-yr value was the highest amongst the 22 648 fields and the overall trend, although non-significant, was for richness to increase with age. 649 7.2 Succession 650 Tilman (1982) also generated a resource-ratio theory of succession, starting from the 651 observation that at his Cedar Creek experimental site soil nitrogen (N) increased during secondary 652 succession. This is often the case, though it is difficult to know what fraction of soil N is available 653 to plants. This led him to theorise that the early-successional species would have low R* for N RGR response to X10 nitrogen increase 1.35 Poa pratensis 1.3 Schizachyrium scoparium 1.25 1.2 ` 1.15 Agrostis scabra 1.1 0 2 4 6 8 10 N status in field: rank Fig. 6.6: The experimental response to N compared to the rank of species in a successional/N field gradient. 654 therefore be better competitors at low N; late-successional species would require high N, but be 655 better competitors, probably for light, in those conditions. He performed experiments with co- 656 workers and concluded that later successional species at Cedar Creek do not necessarily have a 657 higher N requirement or response (Tilman 1986; Tilman 1987b; Tilman and Cowan 1989). The 658 former statement is true: the modal nitrogen content of the soil in which various species grow at 659 Cedar Creek (Tilman and Wedin 1991a) is not significantly related4 to their RGR at low N (Tilman 660 and Cowan 1989) nor5 to their growth at high N. However, their response to N (RGR at high N / Wilson and Agnew, chapter 6, Theories, page 22 of 41 661 RGR at low N, data as above) is clearly related6 to their modal soil N (Fig. 6.6). What is not so well 662 related is their successional position. The low-responding Agrostis scabra does indeed appear early 663 on and peak at c. 5 five years (Tilman and Wedin 1991a), but the high-requiring and high- 664 responding Poa pratensis (meadow grass) peaks at c. 15 years, whereas Schizachyrium scoparium 665 is hardly present then, and peaks at c. 45 years. Harpole and Tilman (2006) and Fargione and 666 Tilman (2006) produced similar partial support by correlating previously-determined nitrogen R* 667 values with relative abundance in three semi-natural or experimental areas at Cedar Creek. This 668 assumes that competitive ability and abundance in a mixture will be correlated and this is not 669 necessarily so (chap. 3, sect. 7.3). The correlations were highly significant but reflect only that the 670 three abundant species have low R*, whilst that for other species covers the range from low to high. 671 There was considerable respect for Tilman that he had published many results with frank 672 admission of their conflict with his theory. However, this leaves R* theory hanging (Craine 2005). 673 It is also difficult to generalise the ideas. Tilman emphasises the increase in soil nutrient status, 674 especially of nitrogen, during both primary and secondary succession (Tilman 1988). It is true that 675 only a few successions do not have a monotonic N increase (e.g. Crews et al. 1995, examining a 676 4100000 yr chronosequence in Hawai’i), but often phosphate limitation is a major determinant of 677 plant growth during succession and it decreases (Chapin et al. 1994; Richardson et al. 2004). We do 678 not consider these theories useful for the real world. 679 7.3 Conclusion 680 Tilman followed the example of MacArthur in producing formal models of how 681 communities might work. He and many others have been able to test his models (Miller et al. 2005). 682 R* theory has proved highly robust for micro-organisms in experimental conditions, though it is 683 hard to see how it will extend to embryophytes. Moreover, when Tilman attempted to put 684 successional processes on a more formal basis, reality proved to be more complicated. We discuss 685 other ideas of his below, notably agreeing with his ideas on the intensity of competition along 686 gradients of productivity. Tilman tried to find neat patterns in ecology. It was brave of him. 687 688 8 Grime versus Tilman The ideas of Tilman have often been compared with Grime’s. However, C-S-R theory is a 689 coherent body of ideas, including the characters of the species, the characteristics of the habitats, 690 succession, whole-community attributes such as stability and the relation of species richness to 691 productivity (the humped-back theory). All these are interconnected. It has remained essentially 692 unchanged since 1979, the only major addition being that all stresses are basically unavailability of 693 mineral nutrients. Love it or lump it, it is the only comprehensive, coherent theory we community Wilson and Agnew, chapter 6, Theories, page 23 of 41 694 ecologists have. Tilman’s theory, in contrast, includes a number of ideas that are rather separate, 695 covering the mechanism of competition, where competition will be most intense, how resources 696 will change during succession, whether and how species will co-exist, species diversity, etc. Some 697 of these theories have been effectively disproved, even by Tilman himself, but others remain alive. 698 To some extent this reflects that the theories are put in a more testable form than Grime’s. Grime 699 does have one undisputed advantage over Titman/Tilman: he did not change his name part way 700 through. 701 8.1 Strategy 702 The concept of strategy is old, and intuitive to every child, that the effort a plant or animal 703 puts into one organ or activity is at the expense of another. Plant ecologists generally think of 704 biomass, though calorific content might be more appropriate. Cody (1966) stated the concept 705 eloquently: “It is possible to think of organisms as having a limited amount of … energy available 706 for expenditure, and of natural selection as that force which operates in the allocation of this … 707 energy in the way that maximises the contribution of the genotype to following generations” (the 708 “…” omissions were “time and”; it is easier to see time as a resource for animals than for plants). 709 Harper and Ogden (1970) applied this concept to plants by examining the proportion of energy 710 allocated to reproductive structures. Much consideration has been given to the selective advantages 711 of particular reproductive strategies, formalised in terms of optimal strategy and later more correctly 712 as evolutionarily stable strategy (Smith 1982). The concept applies to a whole species, to ecotypes 713 and to plastic responses. It applies to vegetative allocation too, for example, shoot versus root 714 allocation: "the plant makes every endeavour to supply itself with adequate nutriment, and as if, 715 when the food supply is low, it strives to make as much root growth as possible” (Brenchley 1916). 716 This principle is implicit in C-S-R theory; it explains why no species can be a perfect competitor, a 717 perfect stress-tolerator and also a perfect ruderal. Indeed, Grime commonly refers to C-S-R as 718 ‘Strategy Theory’, as though it were the only one. Tilman has also moved to an emphasis on 719 strategy with his ALLOCATE model of plant growth and competition (Tilman 1988), emphasising 720 shoot versus root strategy, a field with a long history of theory and observation (J.B. Wilson 1988a), 721 but usefully put into the context of the community. 722 8.2 Species diversity 723 Tilman (1982) reached a similar conclusion to Grime (1974), that there would be a humped- 724 back relation between productivity and species richness. Like Grime, Tilman’s argument for low 725 richness under low productivity included the idea that there are few species capable of growing in 726 conditions of high stress, but he also suggested that environmental heterogeneity would be low Wilson and Agnew, chapter 6, Theories, page 24 of 41 727 there, with all microsites equally stressful. He also agreed with Grime in seeing a decrease in 728 richness at high productivity as being due to greater competitive exclusion. He later, finding that 729 nitrogen application led to a reduction in species richness in the Cedar Creek oldfields, converged 730 with Grime’s conclusion that this effect was due to shading suppression by live plant material and 731 litter (Tilman 1993). 732 8.3 Competition 733 Grime’s and Tilman’s hypotheses 734 Grime’s (1974; 2001) theory is that in the S corner of the C-S-R Triangle there is no 735 competition because neighbours are too limited by the physical environment to interact. Near the S 736 corner, competition is low. This conflicts with ecological common sense and close-to universal 737 observation. Almost everywhere plants fill the area. Having grown, how do they stop when they 738 reach this state, unless through competition? As elsewhere, ‘competition’ has been used when other 739 kinds of interference will be involved too, but we shall consider competition for the moment. 740 Tilman’s (1988) contrary view is that competition will be equally important in unproductive (high 741 stress) and productive (low-stress) environments. The logic seems to be that if resource availability 742 is too high for there to be competition, the plants will grow until availability has been reduced so 743 that there is competition for it, or until another resource becomes limiting. For Grime the issue is 744 connected to his humped-back model of species richness: at low productivity / standing-crop R and 745 C species will be absent. D.A. Wardle (2002) uses this argument to comment that Tilman’s R* model 746 is “difficult to reconcile with the frequently observed humped-back relationship between diversity and 747 productivity”, because according to Tilman competition, and hence competitive exclusion, will be no 748 greater at high biomass. Wardle’s statement is misleading for several reasons: (a) the humpedback 749 relation is far from universal, especially considering significance by an appropriate test of the 750 downturn at high richness, (b) the usual relation has been with richness, not diversity, (c) productivity 751 has hardly ever been measured, only above-ground standing crop, and (d) the logic is based on the 752 downturn in richness at high standing-crop being due to exclusion by interference, which even Wardle 753 admits is only “a likely reason”. 754 An explanation for population maintenance without competition in high-stress 755 environments, such as deserts, has been a low probability of ecesis and/or high mortality. An ecesis 756 rate that happens to exactly balance mortality is infinitely unlikely. Yet, even a slight deficit of 757 ecesis over mortality would give RGR (population growth rate) less than 0.0 and a population that 758 declined to zero, and even a slight excess of ecesis would give RGR greater than 0.0 and a 759 population that climbed towards infinity. Neither are ever seen in existing populations. The logical 760 conclusion is that in all persistent populations of a species, ecesis and/or mortality must be density- Wilson and Agnew, chapter 6, Theories, page 25 of 41 761 dependent, and the most likely explanation is competition. We conclude that in all environments 762 plants will increase in abundance until they are limited by interference, usually because competition 763 is 100 %, even if we ecologists, as outsiders, cannot easily see what the critical resource is. There 764 are two riders to this. Firstly, competition will be absent in the very earliest stages of succession 765 (Clements et al. 1929). Another possible explanation of sparse populations could be that they are 766 present because of subsidy from elsewhere: the spatial mass effect (chap. 4, sect. 12), but it seems 767 unlikely this is the main explanation of large areas of desert vegetation. Thirdly, it would be 768 possible for density-dependent herbivory to hold abundance too low for competition to occur. It is 769 not clear this could happen, because with such low levels of plant productivity herbivore 770 populations might not be able to exist. 771 Grace (1991) made another important point: “both Grime and Tilman discuss gradients in 772 habitat productivity as if it makes no difference whether they are gradients in [resources] or non- 773 resource factors”. However, there is more complication. Many studies in the literature examine the 774 effect of a mineral nutrient such as N in a system where competition is probably for light, or even 775 necessarily for light by the experimental design. For example, Stern and Donald (1962) added N to 776 a grass and a clover growing with their roots separated. In this example the gradient is a resource, 777 N, but the competition is not for N, but for light. The true distinction is between a gradient in a 778 factor for which there is competition and in a factor for which there is no competition. But the 779 factor for which there is competition will change. If soil nutrients or water are limiting initially, and 780 they are added, the limitation will be removed and competition will shift to being for light (Tilman 781 1988). Moreover, the environmental conditions will then be so different that it will be difficult to 782 say whether competition is less, the same or greater (see The growth-rate artefact below). Perhaps 783 an even greater problem is that once competition is for light it will probably be cumulative (chap. 2, 784 sect. 2.3). Other complications are the change in species composition that will occur along gradients 785 and the lack of a generally-agreed index of competition. Most of the confusion that has grown about 786 this topic seems to come from ignoring what resource competition is for. 787 The growth-rate artefact 788 A huge complication in experiments testing the Grime versus Tilman ideas on competition 789 is that if plants are put in a pot in a high-productivity environment the plants will by definition grow 790 faster, and thus come into competition sooner. Therefore, if competition is measured at a fixed time 791 after planting, it will appear to be greater in more productive conditions. The same situation occurs 792 after natural disturbance in a favourable environment. Eventually, competition will be 100 % right 793 along the gradient because the plants will grow until carrying capacity is reached and competition is 794 complete in the community-matrix sense: if x grams of plant material are removed growth will Wilson and Agnew, chapter 6, Theories, page 26 of 41 795 resume until there are x grams more. Therefore competitive intensity cannot be measured as the 796 final outcome either. Competition is like death: it’s not a question of if, but of when. This problem 797 of the growth-rate artefact is removed when the experiment indicates lower competition at higher- 798 productivity conditions, but it is difficult to accept only results in one direction. Another 799 complication is that resources will be exhausted sooner when they are in shorter supply; resource 800 availability is not a fixed variate, but as always in communities is subject to reaction. 801 Our own hypothesis 802 Our own view, from first principles, is that along a beta-niche gradient (i.e. a gradient of 803 conditions, of non-resources, or of resources for which competition is not occurring), competition 804 will be of constant intensity, but will appear to be greater in more productive conditions because of 805 the growth-rate artefact. 806 Along an alpha-niche gradient (i.e. of a resource for which there is competition) competition 807 will be strongest when the resource is in shortest supply. There can be exceptions, e.g. the mobility 808 of some soil nutrients can be higher when they are present at higher concentrations and this can 809 result in greater below-ground competition (e.g. Vaidyanathan et al. 1968; J.B. Wilson and 810 Newman 1987). The same could apply to water. An additional complication is that as the 811 availability of resource X increases along a gradient, the plants may change from competing for X 812 to competing for resource Y. 813 Deserts 814 Ecologists often see what they think are exceptions to the universality of competition in 815 deserts, where the plants are spaced above-ground. The desert habitat is indeed stressful and if there 816 is competition it is likely to be for the same factor that causes the stress: water supply. Many, from 817 Shreve (1942) through Went (1955) to Mirkin (1994), have denied that desert plants compete. This 818 idea was fuelled by studies that failed to find a regular spatial pattern of individual plants in deserts, 819 and sometimes found clumping instead (e.g. Gulmon et al. 1979). The idea was often that plant 820 populations in deserts were kept below 100 % occupancy by unfavourable probabilities of 821 colonisation and death. We demolished this argument above, showing that there must be 100 % 822 competition, and if it is manifestly not above-ground it must be below-ground. The existence of 823 intense competition for water has been demonstrated by finding negative correlations between plant 824 sizes and distance apart (Yeaton and Cody 1976) and by relief of plant water stress and increase in 825 plant growth upon removing neighbours (Fonteyn and Mahal 1978; Robberecht, et al. 1983; Fowler 826 1986a; Kadmon and Shmida 1990). In fact, the effect of competition on plant spatial pattern has 827 been best demonstrated in desert communities. Ecologists have often underestimated the intensity 828 of competition where there seem to be unvegetated gaps between plants; in fact the cacti and shrubs Wilson and Agnew, chapter 6, Theories, page 27 of 41 829 may be spaced out, but their root systems are not (Woodell et al. 1969). Clements knew this, of 830 course: “The open spacing of desert shrubs in particular suggests some indirect influence in 831 explanation, but studies of the root systems demonstrate that this is a result of competition for water 832 where the deficit is great” (Clements et al. 1929, p. 317). Remember our rider above on the spatial 833 mass effect. Remember our rider on herbivory, but it is a tenet of C-S-R theory that plants of 834 unproductive sites have more defences (Grime 2001). Disturbance would also override competition, 835 but is disturbance really so frequent in deserts that they are in a continually seral state? Anyway, it 836 is the basis of the C-S-R triangle that stress sites cannot have much disturbance, or no plants can 837 grow. We conclude that the intensity of competition is likely to be approximately 100 % in all 838 communities, supporting Tilman’s conclusion, perhaps for different reasons. 839 Tests 840 The complete absence of competition would be testable. However, we argue above that this 841 is not tenable, and moreover no habitat can fall exactly in the S corner so the question does not 842 arise. We have to test degrees of competition along an S–C gradient, which is possible but difficult. 843 The literature is unclear on how to measure the intensity of competition; we shall use a species’ 844 percentage reduction from monoculture, ideally in RGR but sometimes in biomass. 845 Considering a gradient of environment conditions, La Peyre et al. (2001) grew three species 846 of salt/freshwater marshes in monoculture and competition along a salinity gradient. A measure of 847 the overall importance of competition was almost constant along the gradient, and once allowance 848 is made for dead material the competitive response of the individual species varied remarkably 849 little. Similarly, Cahill (1999) found no consistent change in aboveground competition in his 850 oldfield experiment between the two NPK levels. Although N, P and K are resources, in the latter 851 comparison there was competition only for light, so they are conditions. These two pieces of work 852 support our thesis that along a gradient of conditions, competition will be of constant intensity. Wilson and Agnew, chapter 6, Theories, page 28 of 41 853 For a gradient in a resource for which competition is occurring, a relevant experiment is that 854 of Campbell and Grime (1992), growing seven species in outdoor plots with a range of nutrient 855 levels and disturbance regimes. Nutrients promoted growth considerably (Fig. 6.7a). Campbell and 856 Grime declare that Arrhenatherum elatius (oat grass) is a plant of fertile soils, and Festuca ovina, 857 Bromus erectus and Desmazeria rigida (fern grass) are plants of infertile soils, but actually the 10000 (a) 1000 Biomass (g m-2) Arrhenatherum Bromus Dactylis 100 Desmazeria Festuca Lolium Poa 10 1 0.001 0.01 0.1 1 10 Relative nutrient concentration 120 (b) % reduction by interference Competive suppression 100 Arrhenatherum 80 Bromus Dactylis 60 Desmazeria Festuca Lolium 40 Poa 20 0 0.001 0.01 0.1 1 10 Relative nutrient concentration Fig. 6.7: The effect of nutrient concentration on competitive ability. 858 nutrient response does not differ between species (p = 0.989 7). The species differ in the effect of 859 interference on them (Fig. 6.7b; p < 0.0018), but there is no overall effect of nutrient supply on the 860 intensity of interference (p = 0.072 9), disproving Grime’s assumption. Goldberg et al. (1999) found 861 in a meta-analysis that there was a tendency for competitive intensity to decrease more often than 862 increase with productivity, in general conformity with our theory and Peltzer and Wilson (2001) 863 found no significant trend with standing crop, used as an inverse proxy for stress. However, the Wilson and Agnew, chapter 6, Theories, page 29 of 41 864 experiment of Campbell and Grime, as many of those surveyed by Goldberg, has the restriction that 865 it is not possible to tell whether competition was for the resource (NPK) that varied along the 866 gradient. This restricts very considerably the range of investigations available for critical tests. 867 The experiments of Peltzer et al. (1998) in Saskatchewan, Canada, and Cahill (1999) in 868 Pennsylvania, USA, were both in oldfields, planting seeds or seedlings into plots where shoot 869 competition was prevented by tying back the vegetation, root competition was either prevented or 870 allowed by using plastic tubes, and fertiliser was added or nor (N in the case of Pelzer et al. and 871 NPK in the case of Cahill). Both studies showed somewhat greater belowground competitive effects 872 when soil resources were in shorter supply. This confirms the conclusion of J.B. Wilson (1988c), 873 surveying experiments on root competition, that the limited evidence available indicates that 874 competitive intensity is highest when soil resources are in shortest supply. In those experiments the 875 the gradient is one of soil nutrients and competition must be for either soil nutrients or water, but 876 generally it is not possible to see which. However, Cahill recorded soil moisture with gypsum 877 blocks, and found no significant difference between treatments, implying so far as one can from 878 non-significance that the competition was not for water. The study that comes closest to answering 879 the question is that of S.D. Wilson and Tilman (1991) at Cedar Creek, an experiment similar in 880 most respects to those of Peltzer et al. and Cahill. It is known from other work that nitrogen is the 881 limiting mineral nutrient in the oldfield at Cedar Creek and other nutrients were applied to all 882 treatments to make absolutely certain of this (right down to Cu, Co, Mn and Mo). Only N 883 (ammonium nitrate) differed between treatments. It therefore seems likely that we are looking at 884 competition for N along a gradient of N supply. Moreover, RGR is available to judge the result. In 885 all three species used the belowground competitive effect was greater at low soil N supply. An 886 experiment with one of the same species confirmed this (S.D. Wilson and Tilman 1993). The 887 overall evidence overwhelmingly supports our contention that competition for resource X will 888 generally be most severe when X is in shorter supply. It is surprising that anyone thought otherwise. 889 However, we must remember that in the real world soil nutrients are patchy (chap. 4, sect. 1.3). 890 We conclude that both Grime and Tilman were wrong. Along a gradient of an 891 environmental factor, or of a resource for which competition is not occurring, competition will be 892 equally intense right along the gradient. Along a gradient of a factor for which there is competition 893 the most severe competition will be at low levels of it. If the resource for which competition is 894 occurring changes, the question is too difficult to answer. Wilson and Agnew, chapter 6, Theories, page 30 of 41 895 9 Synthesis 896 9.1 “Too soon to tell” 897 Plants are simple to physiological ecologists, operating not so far above the level of physics. 898 Even so, they have found it hard to produce general theories, except that of adaptation which is 899 dangerous if applied uncritically (Gould and Lewontin 1979). Population ecologists, working at the 900 level below community ecology, can see clear patterns such as a logarithmic decline when death 901 rates are constant (Harper 1967), but their main principle seems to be density-dependence, which 902 we argued above is logically an almost necessary feature of a persisting population. In ecosystem 903 ecology, at the level above community ecology, it is possible to see some patterns imposed by the 904 laws of conservation of matter and of energy. We community ecologists are in the worst situation. 905 Theories fail. Generalising from first principles and seeking hard evidence the best evidence we 906 have is for the Botany Lawn, and though it seems clear that assembly rules are operating we do not 907 know how, or even whether they are based on aboveground or belowground plant interactions. As 908 Mao Zee Tzung is claimed to have said when asked what the effect of the French Revolution had 909 been on subsequent history: “It is too soon to tell”. Theories of communities are certainly at too 910 early a phase to be applied to practical problems. The dangers of doing this are exemplified by 911 attempts to apply ‘Island Biogeography’ theory to reserve design. 912 9.2 “Does vegetation suit our models?” 913 None of the models of plant communities yet produced have high synthetic or predictive 914 value. We deeply respect Frederick E. Clements’ field knowledge of vegetation, his powers of 915 observation and generalisation and his pioneering experimental work. All of his concepts contain a 916 good deal of truth. Since the same community rarely recurs (J.B. Wilson et al. 1996b) his 917 formations and associations are simplifications, but similar classification continues today. It does 918 little harm when it is admitted that the main purpose of the ‘associations’ is to identify conservation 919 targets to the public and to government. We dedicate this book to Clements’ for his insights. 920 Variation along environmental gradients is sometimes continuous, but at other times 921 discontinuous due to the operation of a switch, as both Clements and Gleason believed. This is true 922 even of many boundaries that ecologists categorise as ‘environmental’ such as between a 923 saltmeadow and a saltpan, or a riverbank. The rôle of switches in generating the spatial patterns 924 around us has been considerably underestimated. The methods of Mike Austin and co-workers 925 (section 4) indicate continuous variation along environmental gradients, but this is partly because 926 they have worked at a larger spatial extent than that on which most switches occur. Nevertheless, 927 there is increasing interest in geographic-scale switches, especially those involved with climatic 928 change (chap. 3, sect. 5.4.A). Wilson and Agnew, chapter 6, Theories, page 31 of 41 929 Philip Grime’s C-S-R is the only modern, overall theory of plant communities. It matches 930 the current interest in guilds, often under the name ‘plant functional types’ (chap. 1, sect. 4.2), and 931 usefully it does so using continuous axes, not discrete types. Both C-S-R theory and intrinsic guilds 932 avoid the ad-hoc guilds commonly used, but in opposite ways. Intrinsic guilds are defined in each 933 study with no pre-conceptions, discovering the structure from the community itself. C-S-R, in 934 contrast, has an a-priori triangle derived from field and experimental experience and with 935 theoretical underpinnings from r-K theory and from leaf ammortisation theory; this is used as a 936 template for understanding all vegetation. C-S-R is a useful and stimulating generalisation and it 937 has spurred the collection of an excellent database of plant ecological characters. Other datasets 938 should aspire to this quality. Tilman’s concept that competition will be equal along a productivity 939 gradient is close to the truth, but his R* approach seems to be too simplistic for embryophytes. 940 Plant ecologists tend to produce models and then try to make the facts fit. Anna Bio (2000) 941 neatly criticised this as, “Does vegetation suit our models?”. The nature of the community depends 942 on the nature of its parts and the starting point must be the peculiar characteristics of plants (chap. 1, 943 sect. 1.1): they do not consistently have ‘individuals’, they are colonies of modules moving through 944 space (“Plants move, animals don’t”). Litter forms an extended phenotype around plants that moves 945 with them. Its effects persists after them, and can have lasting effects if there is a switch operating. 946 The effect of plants does not die when they die. The species therefore plays the part of an individual 947 in the community. Its rôle depends on its shape and secondarily on its physiology and chemistry. Its 948 reaction on the environment and on associated biota flows from these. These characteristics of 949 plants produce a range of interactions within and between species (Box 6.1), many of which are 950 rarely considered in a community context. All this will make it difficult for vegetation to suit our 951 simple models. Wilson and Agnew, chapter 6, Theories, page 32 of 41 952 953 Box 6.1: Types of interaction between plants. 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 At the species (or within-species) level negative effects interference (negative effects via reaction) competition: species X removes resources from the environment, which are then unavailable to species Y allelopathy: X produces a substance toxic to Y spectral interference: X changes the red/far-red balance, disadvantaging Y switch: X causes reaction in an environmental factor, disadvantaging Y negative litter effects: X produces litter of a type that disadvantages Y (positive effects are a type of subvention) parasitism: X removes resources directly from Y autogenic disturbance: X disturbs, disadvantaging Y negative effects via heterotrophs: X changes the heterotroph population, disadvantaging Y Subvention (positive effects) mutualism = X and Y both benefit relative to their being at the same density on their own benefaction = X benefits Y as above, with no known advantage/disadvantage to itself facilitation = X benefits Y, to its disadvantage 973 974 975 976 977 978 At the community level guild/community X gives a relative disadvantage to itself: the effect is density-independent: facilitation and/or autointerference = relay floristics the effect disappears at low density of X (negative feedback) = stability guild/community X gives a relative advantage to itself = switch 979 A few of the interactions between plants are direct. Parasites and strangling lianes are 980 examples, as are the fascinating and understudied effects of shaking and physical abrasion (chap. 2, 981 sect. 6.1). Interactions via herbivores, fungi and microbes are more important. Parasitism is well 982 known, and we are afraid we have tended to ignore it as a special case, and shall do below. 983 However, the most important types of interaction are via the environment, i.e. reaction. In the short 984 term this effects most types of interference and subvention. Competition is often spoken of as if it 985 were the only negative interaction between plants, but in fact it is one of many, modified by 986 subvention. Longer-term and often stronger reaction results in either community change, most 987 likely via relay floristics or reinforcement of the current state via a switch (Box 6.1). The “or” is a 988 simplification since an accelerating or delaying switch can operate during relay floristics. Cyclic 989 succession is really a third type (Fig. 3.1); there is very rarely good evidence for it (chap. 3, sect. 4), 990 but there is only marginally more for relay floristics or switches. It seemed necessary to divide 991 subvention by whether the effects were reciprocal. However, we could also divide subvention by its 992 cause, notably reaction versus interactions via heterotrophs. 993 994 Reaction is the plant community, in that almost alone it causes the community processes: relay floristics, cyclic succession and switches. Without reaction there will be only a collection of Wilson and Agnew, chapter 6, Theories, page 33 of 41 995 plants. The combination of these processes does not give a neat pattern (Fig. 3.10) nor does it make 996 it easy to use neat labels. However, one clear conclusion is that whenever ecologists see a sharp 997 boundary in nature without an obvious environmental or historical cause, they should suspect that a 998 switch is operating. 999 Three things are clear about plant communities: (1) almost all comprise many species, 1000 (2) they are heterogeneous and (3) ecologists must hope there are some rules governing the 1001 assembly of species in them – assembly rules – or there is no science in plant community science. 1002 9.3 The ‘Paradox of the plankton’ 1003 The 12 mechanisms that could be permitting species to coexist are now clear (chapter 4), but 1004 evidence of their relative importance is sparse. The lack of evidence on Initial Patch Composition 1005 (7) and Co-Evolution of Similar Interference Ability (11) probably reflects their lack of realism. 1006 However, experiments on each would be possible. The existence of Equal Chance (9) is very 1007 unlikely, and chance is impossible to prove, but evidence for plants as good as that Munday (2004) 1008 was able to obtain for fish would be fascinating. The evidence (chap. 4, sect. 4) on Circular 1009 Interference Networks (4) suggests that the mechanism is likely to be unimportant, or non-existent. 1010 However, better-quality evidence is needed, examining how RGR changes as exclusion by 1011 interference is approached and using the species of a natural community. Evidence for Cyclic 1012 Succession (8) is currently absent. Since Egler’s (1977) diatribe there have been many more 1013 permanent plots set up and these may eventually give evidence for or against it. Temporal and 1014 Spatial Inertia (10) and Interference/Dispersal Tradeoffs (6) are probably all around us, but there is 1015 miniscule evidence for either. Temporal inertia (10.1) is hard to measure, but evidence may come 1016 when a change of environment affects a permanent plot, or that change could be imposed 1017 experimentally. Stoll and Prati (2001) gave neat evidence of spatial inertia (10.2) from a very 1018 artificial system, and evidence from more realistic systems would be useful. However, this is only 1019 an equalising mechanism. Ecologists rarely have any idea how much of the small-scale patchiness 1020 that they see around them is due to Allogenic Disturbance (5), but the research would not be too 1021 hard, with permanent plots in herbaceous communities and using dendrochronology as well as 1022 permanent plots in forests. The main problem in measuring the Spatial Mass Effect (12) is that the 1023 tail of leptokurtic dispersal is hard to quantify. The answer may lie in experiments with adjacent 1024 mesocosms, or mesocosms transplanted into the field as phytometers, but for measuring dispersal 1025 and ecesis, not the environment. We can put together a story on Pest Pressure (3) from separate 1026 pieces of work (chap. 4, sect. 3), at least for pathogens, but more work on applying pesticides to 1027 natural communities would be valuable, with examination of all the processes in a single system to 1028 aid interpretation through the nexus of interactions involved. Allogenic changes imply that Wilson and Agnew, chapter 6, Theories, page 34 of 41 1029 Environmental Fluctuation (2) has huge impacts on plant communities (chap. 3, sect. 2), but it will 1030 not always meet the strict criteria for permitting coexistence. When data are to hand to parameterise 1031 the models of Chesson (2006) it should be possible to understand this better. How much of the 1032 Alpha-niche Differentiation (1) that can be seen around us is actually causing coexistence is hard to 1033 know. Experiments with treatments preventing niche differentiation would be useful, e.g. using 1034 shallow boxes to prevent differences in rooting depth or long-term growth-cabinet work with and 1035 without seasonal differences. 1036 All these effects have been demonstrated, if at all, in separate studies. The next step is for 1037 them all to be evaluated for one community. 1038 9.4 Heterogeneity 1039 Environments are (almost?) always heterogeneous in space and time, even in apparently 1040 uniform natural communities (e.g. Robertson et al. 1988; Farley and Fitter 1999). The base for 1041 modelling this can be either environmental heterogeneity or environmental homogeneity. 1042 The usual starting point has been underlying spatial heterogeneity, and indeed it is very hard 1043 to escape from such variation. Deserts appear uniform, but have damper depressions and even 1044 dunes. Alluvial flood plains are deceptively homogenous because they receive non-uniform deposits 1045 as rivers meander and even split/rejoin. The deposits are reworked by the original river and then, as 1046 the river cuts lower, by smaller streams. The same is true on saltmarshes. This can be combined 1047 with the certainty that there are differences between species in their environmental tolerances, 1048 which can be determined by experiments and/or inferred from plant/environment distributions (the 1049 “easy task” of Warming 1909). This gives a base model in which environmental heterogeneity 1050 combined with different species tolerances causes community heterogeneity. This is allogenic 1051 heterogeneity. All further investigation of community processes has to sample where allogenic 1052 heterogeneity is minimal and/or allow for it (e.g. in patch models: chap. 5, sect. 2.3). 1053 Alternatively, heterogeneity in vegetation can be explained with a null model of a uniform 1054 underlying environment. ‘Random’ dispersal of species then has to be assumed to give some 1055 pattern. Too little inward dispersal would leave unvegetated gaps and too much would give cover 1056 too uniform to explain the observed heterogeneity, so infiltration invasion must be assumed (chap. 1057 1, sect. 2.3), which conveniently seems to be the norm. The next assumption must be that those 1058 colonists react on their environment, and we gave plenty evidence for this when discussing switches 1059 (chap. 3, sect. 5). Next, species must differ in their reaction. If that reaction is in a direction that 1060 disfavours the present species, the result would be relay floristics with a single homogenous 1061 endpoint (Clements 1916), or just possibly cyclic succession. However, often the reaction of the 1062 species will be in the direction that favours their good selves, giving a switch. If the switch is of Wilson and Agnew, chapter 6, Theories, page 35 of 41 1063 Types 2-4 the result can be a stable mosaic of different communities. The assumptions under this 1064 model are that community heterogeneity is generated by infiltration invasion and switches, i.e. 1065 autogenic heterogeneity. The creation of autogenic heterogeneity reaches its full development when 1066 a switch produces a mosaic of alternative stable states (chap. 3, sect. 5.6), situations that we believe 1067 are more common than has been realised, although the evidence for them is much more uncommon 1068 than has been realised. Care is needed, though, because most of the switches seem to be one-sided 1069 (Type 1) which cannot give rise to a permanent mosaic (chap. 3, sect. 5.3). 1070 The greatest knowledge gap is the degree to which the species of one pool differ in their 1071 reaction. Effects can readily be seen in the light regime beneath different species, though still much 1072 more is known of species differences in total light transmittance than of changes in spectral 1073 composition. Soil reactions occur much more slowly. It is clear that a few species, such as Calluna 1074 vulgaris (heather) and Sphagnum spp. mosses, differ strongly from their neighbours in their 1075 reactions on pH. Whether differences in reaction are general and especially whether there are 1076 changes in other soil variates is remarkably unknown. Local soil/species correlations can easily be 1077 seen, but distinguishing cause from effect is difficult (but see Pelletier et al. 1999; Ehrenfeld et al. 1078 2001; chap. 4, sect. 1.3 above). Experiments with soil litter bags normally last 2-5 years, rather than 1079 the 50 years that would usually be needed to see the effects, and they usually examine the litter, not 1080 the nearby soil. However, we believe that reaction of plants and litter on the soil environment has 1081 been underestimated as the cause of heterogeneity and we call for people to investigate it. The 1082 urgent need is for documentation of all the steps of a switch from a single system. We commented 1083 (J.B. Wilson and Agnew 1992) that there was then no case where this had been done. Although 1084 further work has been done on switches as those involving goose-grazing / saltmarsh (chap. 3, sect. 1085 5.6), microscopic algae / sediment stability (chap. 3, sect. 5.4.C) and lake turbidity one (chap. 3, 1086 sect. 5.4.E), this remains essentially the situation. 1087 Almost certainly the processes assumed in both the heterogeneity and the homogeneity 1088 starting-point models occur, and do so simultaneously. Yet spatial analysis tends to be rather 1089 uninformative. The reader will have noticed that we have largely ignored species-area curves. This 1090 was not because we forgot about them, but because they seem to shed little light on the structure of 1091 communities, tending to be indirect ways of describing geography. Goodall (1954) argued that if a 1092 community has real existence it should show homogeneity of composition within its boundaries. 1093 This is an interesting, even provocative, challenge. Similar is Whittaker’s idea that his ‘gradient 1094 analysis’ (Fig. 6.1) could identify ‘integrated’ communities. These approaches fail. The existence of 1095 small-scale heterogeneity does not disprove integrated structure, for there is certainly underlying 1096 environmental variation which any community structure, however strong, could surely not 1097 extinguish. F.E. Clements who wrote “the community is a complex organism … greater than the Wilson and Agnew, chapter 6, Theories, page 36 of 41 1098 sum of its constituent species” (Clements 1935) but also “Practically all vegetation shows more or 1099 less striking differences every few feet” (Weaver and Clements 1929, 6). Neither do sharp 1100 boundaries prove co-evolution; they could well be caused by switches, as supposed by both 1101 Clements and Gleason (section 3 above). On the other hand, continuous variation could represent 1102 strong structure, derived from co-evolution towards coevolution, as it did in Whittaker’s fairy 1103 stories (section 4 above). 1104 9.5 Assembly rules 1105 At one point within this heterogeneity there can be either a stable community (but of course 1106 with continual allogenic change), an alternative stable state, or a seral stage of directional or cyclic 1107 succession (chapter 3). However, our discussion would be little more than natural history were there 1108 not some regularities, or rules, that could be seen in how the states are assembled. Assembly rules 1109 are similar to alternative stable states in that from a pool of species only some combinations are 1110 stable. Alternative stable states are necessarily produced by switches. A switch generally depends 1111 on a considerable degree of reaction, sufficient to make a state stable in the face of all but the more 1112 extreme environmental variation, but it could depend on interactions via heterotrophs or, in theory, 1113 autogenic disturbance (chapter 2). Assembly rules are also caused by reaction, though they can be 1114 much more subtle ones, and small-scale interactions via heterotrophs or autogenic disturbance 1115 cannot be ruled out as the mechanism. Alternative stable states are usually envisaged to exist either 1116 at different times or in different places over scales of hundreds of metres or more. Assembly rules 1117 are envisaged at a small, within-community scale, but this difference cannot be absolute: 1118 Diamond’s (1975) original assembly rules operated between islands up to 1000 km apart. Because 1119 of the difference in scale, instantaneous interactions, such as via light, are quite likely to be causes 1120 of assembly rules, whereas gross changes in soil composition are likely effectors for alternative 1121 stable states. The scope for assembly rules is wider, for example, specifying a relative abundance 1122 distribution (RAD) without specifying the species involved, or specifying guild proportions whilst 1123 leaving open which species of a guild are represented, whereas there will be a limited number of 1124 specified alternative stable states, often only two, each with its own set of environmental conditions 1125 and species. 1126 We ecologists have to be very careful in examining apparent evidence for assembly rules; 1127 there are many traps for the unwary null modeller. Nevertheless, there is overwhelming evidence 1128 that assembly rules do exist (chap. 5), refuting claims to the contrary by Hubbell (2005) and Grime 1129 (2006). The best evidence for assembly rules is from character-based rules. There is a trend in plant 1130 community ecology towards analysing plant communities not by the names of their species but by 1131 the characters of the plants. The beginnings of this awareness of characters at the community level Wilson and Agnew, chapter 6, Theories, page 37 of 41 1132 are in Jan Barkman’s (1979) concept of vegetation texture. Amongst character-based assembly 1133 rules, some distributional evidence supports guild proportionality, as does the successional study of 1134 Fukami et al. (2005). There is little support from removal experiments, probably because of high 1135 experimental error. The use of a priori guilds has severe limitations and we strongly advocate 1136 seeking intrinsic guilds. The use of texture instead of discrete guilds avoids classification, but does 1137 not avoid the problem of character choice. Methods for the determination of intrinsic texture, i.e. 1138 determining the characters of the species to use by the properties of the communities, remain to be 1139 developed. 1140 The evidence for assembly rules so far comes mainly from herbaceous communities, and the 1141 only comprehensive body of evidence is from the University of Otago Botany Lawn. We would be 1142 cautious about the demonstration of an assembly rule in any single study, but the coherent 1143 conclusions from this site are compelling. The evidence from this and other sites suggests that 1144 canopy relations are important, even in the shortest communities such as lawns, saltmarshes and 1145 sand dunes. This may be partly because of the types of communities that have been examined so 1146 far. It may also reflect a bias towards easily-measured characters, since when Stubbs and Wilson 1147 (2004) utilised wider range of characters in a sand dune community the results implied community 1148 structuring by mode of foraging for water and soil nutrients. The evidence on even-spacing of 1149 flowering implies that phenological niche differentiation is important in restricting species assembly 1150 too, though great care is needed in examining that evidence. However, the failure of roadside 1151 communities to re-assemble in New Zealand (J.B. Wilson et al. 2000b) indicates that the restrictions 1152 on community assembly rules are often weak, and probably that alternative stable states exist (chap. 1153 3, sect. 5.6). 1154 It is difficult to search for assembly rules without knowing what the rules are and when it is 1155 so easy to get negative or invalid results, for example by not using a patch model. But how can 1156 ecologists claim to understand plant communities when they do not know what restrictions there are 1157 on species coexistence, when they occur and where? The future probably lies with character-based 1158 assembly rules, but they must be characters that are carefully selected, not those that happen to be to 1159 hand or are easy to measure, and the selection should towards characters likely to reflect the alpha 1160 niche. The other urgent need in plant assembly rules research is to understand for any particular rule 1161 how it operates, i.e. what reaction in what environmental factor or resource is caused by each 1162 species that limits the ways others associate with it. Alternatively, the assembly rules may be caused 1163 by autogenic disturbance, interactions via heterotrophs, etc. Many types of autogenic disturbance 1164 have been demonstrated, but for few is there evidence as to how frequent they are within and among 1165 plant communities. Interactions via heterotrophs are very likely to cause limitations to community 1166 assembly – assembly rules – but the evidence is frustratingly sparse. There are a few experiments Wilson and Agnew, chapter 6, Theories, page 38 of 41 1167 on the effects of applying insecticide or fungicide at the community level. More are needed. Many 1168 simply report the effect on species diversity. Careful examination is needed of the cascade of effects 1169 that are caused and their rôle in assembly rules. This mechanism of plant-plant interaction has been 1170 widely mentioned for companion planting, but we found searches of the scientific literature for 1171 evidence almost fruitless. 1172 These assembly rules are based on mechanisms, but the net result is efficiently summarised 1173 in the Community Matrix. Introduced to ecology by May (1972), it was not until c. years later that 1174 anyone bothered obtaining values for a real plant community and comparing that community with 1175 the predictions of the Matrix (Roxburgh and Wilson (2000a, b). A Community Matrix is necessarily 1176 a true description of a community, but only one at an equilibrium and perturbed a very small 1177 amount. More realistic models are needed, parameterised from real communities. 1178 Any assembly rules could be based on either co-evolution or pre-adaptation. Dice (1952) 1179 and Whittaker (1975b) were convinced about co-evolution. One of the strongest advocates of this 1180 was Goodall (1963), who argued that a group of species that grew together in common types of site 1181 would adapt to those site conditions and to each other by “… positive feedback. In this sense the 1182 plant community may sometimes be said with justice to have evolved as a whole”. We believe that 1183 co-evolution between plant species is unlikely, even at the ecotypic level. 1184 One problem is temporal change. The environment and the species pool both change and 1185 equilibrium in a plant community is rare. This would not matter if groups of species moved around 1186 the landscape together, but the pollen record tells us clearly that they have associated in different 1187 ways during this interglacial, and probably in earlier ones (chap. 5, sect. 9). Neither do species 1188 associations stay together on much finer timescales. For example, in Watt’s (1981) records from 1189 Breckland, Erigeron acer (fleabane) first increased with Thymus polytrichus, (= T. drucei, thyme) 1190 then stayed essentially constant as T. polytrichus increased, then decreased as T. polytrichus stayed 1191 constant. Much more analysis of local time/space relations like this is needed. Fig. 6.8: Trends in the shoot frequency of Erigeron acer and Thymus polytrichus (= T. drucei, thyme) in a 10 × 160 cm plot in the Breckland, eastern England. From Watt (1981). 1192 Wilson and Agnew, chapter 6, Theories, page 39 of 41 1193 Another problem for a co-evolution explanation is spatial change. Since environmental 1194 heterogeneity exists right down to the smallest scales, it is not predictable even within a community 1195 which species a plant will have as a neighbour. Part of this heterogeneity is caused by the reaction 1196 of one plant affecting another: effects between different species, between ramets of the same 1197 species and between modules of the same ramet. The species cannot co-evolve to match all these 1198 different assemblages. An even greater spatial problem is that species normally occur in several 1199 communities and the characters of a whole species cannot co-evolve to be optimal in each (Gleason 1200 1926; Goodall 1966). 1201 Furthermore, we argued in chapter 1 that evolutionary change in plants is often slow. All 1202 this makes co-evolution of species traits impossible in heterogeneous communities, and hardly 1203 likely even within homogenous ones if they existed. Therefore, when assembly rules are found, they 1204 are likely to be due to the assembly of preadapted species, that happen from their evolutionary 1205 history in a variety of contexts to have the right characters for the job. Preadaptation is the key to 1206 community ecology. 1207 9.6 Conclusions 1208 We have emphasised the wide variety of plant-plant interactions that occur. The majority 1209 operate through reaction, including interactions via litter, though others operate via autogenic 1210 disturbance, heterotrophs, or occasionally parasitism. There are many gaps in our knowledge of 1211 these interactions, but the most pressing need is for integrated knowledge of them for even one 1212 community. Reaction must always be present and if it be towards favouring the plants that caused it, 1213 a switch will operate. We see the switch as the supreme process in plant communities. Switches are 1214 not ubiquitous, but they are the necessary cause of persistent autogenic heterogeneity, i.e. of 1215 alternative stable states (ASS). They are also the cause of the more interesting aspects of relay- 1216 floristics succession, viz., delay and acceleration, as well as the alternative pathways that lead to 1217 ASS. 1218 As plant ecology moves beyond Warming’s “easy task” of describing those plant 1219 distributions caused by allogenic heterogeneity, beyond indirect analysis of those descriptions by 1220 tools such as species-area curves and beyond describing succession as a gradient in time, switches 1221 are the key. They are at the heart of both spatial and temporal heterogeneity, which are the primary 1222 objects of plant community study. Erwin Adema, working in Dutch slacks, produced evidence that 1223 a switch was causing ASS, perhaps the best of all terrestrial examples (chap. 3, sect. 5.6), but he has 1224 remained modest about it. Many workers have seen ASS as being common. They may be, but 1225 unless we are credulous the hard evidence for them is vanishingly small (chap. 3, sect. 5.6; Wilson 1226 et al. in press). Elsewhere in the literature there has been hand-waving about alternative stable states Wilson and Agnew, chapter 6, Theories, page 40 of 41 1227 and diagrams of hysteresis, with minimal consideration of mechanism. Sometimes it has not even 1228 been realised that ASS must be caused by a switch (e.g. Lortie et al. 2004). Often the switch process 1229 envisaged to cause ASS/hysteresis has not been specified, still less has evidence for its operation 1230 been produced. This is especially important because superficially observed ASS and hysteresis 1231 could be due simply to temporal inertia, to plants taking their time about dying. Thus, whilst we 1232 suggest that the importance of switches has been considerably under-estimated, we must also point 1233 out that for almost every example of a possible switch more data are needed before it can be 1234 demonstrated to be operating. 1235 Essentially the same processes, dominated by reaction, operate on a smaller scale with pre- 1236 adapted species as their pawns to give assembly rules. ‘Assembly rules’ was coined by Diamond 1237 (1975), but the concept was implicit in the theoretical work of MacArthur (e.g. MacArthur and 1238 Levins 1967). MacArthur’s assembly-rule concept of limiting similarity appears in every textbook, 1239 yet theory and reality existed in parallel, not touching each other, for c. 20 years before the first 1240 rigorous demonstrations. There have been interesting tests of the limiting similarity concept using 1241 flowering phenology (chap. 5, sect. 6.2), though these studies have many problems. The first 1242 rigorous test with plant functional characters was that of Stubbs and Wilson (2004). Again, the need 1243 is to bring theory and reality together, and to test for several aspects of the structure of one 1244 community, as we have for the Botany Lawn. However, great care is needed with the methods used. 1245 Too often, workers have performed some randomisation, found a difference between the observed 1246 pattern and the randomised one, and declared an assembly rule. Fox’s assembly rule for desert 1247 rodents is a notorious example (Wilson 1995; Simberloff et al. 1999). In order to test for an 1248 assembly rule, one also has to know for which rule one is testing (i.e. the test statistic) and the rule 1249 should be one based on the ways plants function and interact (chaps. 1, 2). It is becoming clear that 1250 the rule should probably be based on plant characters and ideally on abundance too. However, 1251 which characters are critical in causing assembly rules is hardly ever known. We have pioneered 1252 determination of intrinsic guilds from distributional and experimental data as a route to more 1253 appropriate assembly rules, but the characters and thus the processes behind the intrinsic guilds are 1254 yet to be discovered. Methods for determining intrinsic texture have yet to be found, for weighting 1255 the characters of the species by information obtained from the structure of the community itself. 1256 Thus, we emphasise reaction, alternative stable states, switches and assembly-rules, and the 1257 need to obtain hard evidence for them all, bridging the gap that has existed in community ecology 1258 between theory and reality. Wilson and Agnew, chapter 6, Theories, page 41 of 41 1259 ILLUSTRATIONS 1260 Fig. 6.1: The distribution of species along an environmental gradient: (a) a simplistic version of 1261 Clements, (b) a simplistic version of Gleason, and (c) Whittaker (who needs no 1262 simplification). 1263 Fig. 6.2. Does the same community recur? Comparison of between-site similarities in species 1264 composition with: (a) those between adjacent quadrats, and (b) those between subsites 50 m 1265 apart. From Wilson et al. (1996b). 1266 Fig. 6.3: The C-S-R triangle of Grime (1979). 1267 Fig. 6.5. Fig. 6.4. C-S-R theory and specialist pioneers. Grime suggested that sites with differing 1268 degrees of stress would follow different pathways. - - - indicates the part of the succession 1269 which will probably be slow. 1270 Fig. 6.6: The experimental response to N compared to the rank of species in a successional/N field 1271 gradient. 1272 Fig. 6.7: The effect of nutrient concentration on competitive ability. 1273 Fig. 6.8: Trends in the shoot frequency of Erigeron acer and Thymus polytrichus (= T. drucei, 1274 thyme) in a 10 × 160 cm plot in the Breckland, eastern England. From Watt (1981). 1 It has to be said that flaws in Whittaker’s methods leave those results in doubt (J.B. Wilson et al. 2004) 2 This can be distinguished from the redundancy concept, where the species are equivalent in alpha niche but not in beta niche. 3 by space-for-time substitution 4 Spearman’s rank correlation rs = -0.45, with RGR taken from the graphs of Tilman and Cowan (1989) at 150 mg N / kg of soil 5 rs = -0.24, RGR at 1500 mg N 6 rs = +0.84, p < 0.05 7 test for heterogeneity of slopes on a log-log basis 8 by analysis of covariance, with log of nutrient concentration as the independent variate 9 for a joint residual regressio006E