background information on deer invasion
Red deer (Cervus elaphus scoticus) were introduced into New Zealand from the UK in the mid 18th century, and now occupy much of the 6.5 million ha of indigenous forest (Fraser et al. 2000). Density increased rapidly in the two to three decades following colonization of a new area (Challies 1990) and the deer-preferred species of plant were quickly eliminated from accessible sites (e.g. Mark & Baylis 1975). When given the choice, deer feed on short-tree species in New Zealand that are associated with forest margins, disturbed sites and nutrient-rich gulleys: 17 of the 23 most preferred species fit into this category (Nugent et al. 2001). Deer populations remained at peak density for approximately 5–10 years, but during this phase the population sizes of animals declined, apparently due to a reduced availability of food, with animals feeding on species not previously eaten (Challies 1990). The national deer population is currently about 10% of its peak in the 1950s, thanks partly to intensive hunting for recreational, commercial and conservation purposes (Nugent & Fraser 1993). However, there are concerns that forests are not recovering following this reduction in browsing pressure (Coomes et al. 2003; Coomes et al. 2006) and that deer numbers are on the increase once again.
simulated browsing experiment
The study species comprised three evergreen conifers, eight evergreen woody dicots and one deciduous woody dicot (Table 2), selected because they are common components of South Island lowland rain forests and were known to vary in palatability to introduced herbivores (Forsyth et al. 2002). All plants were growing in regenerating mixed beech/conifer forest that was selectively logged in the early 1980s, in the Rowallan Forest, Southland, New Zealand (2082975 E, 5437950 N). This area was chosen because deer numbers are very low, owing to intensive recreational hunting, and as a result the site provided undamaged specimens of the highly palatable species. We do not have information on the soils, but similar forests situated about 20 km to the West were found to be underlain by highly P-deficient soils (Coomes et al. 2005).
Table 2. Diameter and shoot growth of unclipped plants and mortality of all plants of 12 woody plant species (C = conifer) | Fuchsia excorticata | Fucext | Small tree | 3.64 | 100 | 4 |
| Nothofagus solandri* | Notcli | Tall tree | 1.40 | – | 6 |
| Griselinia littoralis | Grilit | Small tree | 1.27 | 28 | 2 |
| Nothofagus menziesii | Notmen | Tall tree | 1.23 | 44 | 0 |
| Raukaua simplex | Psesim | Small tree | 1.20 | 40 | 20 |
| Weinmannia racemosa | Weirac | Tall tree | 1.17 | 33 | 0 |
| Coprosma foetidissima | Copfoe | Tall shrub | 0.98 | 38 | 19 |
| Dacrydium cupressinum (C) | Daccup | Tall tree | 0.97 | – | 6 |
| Podocarpus hallii (C) | Podhal | Tall tree | 0.85 | 23 | 15 |
| Metrosideros umbellata | Metumb | Tall tree | 0.71 | 29 | 15 |
| Pseudowintera colourata | Psecol | Small tree | 0.51 | 15 | 0 |
| Prumnopitys ferruginea (C) | Prufer | Tall tree | 0.47 | 8 | 20 |
| Mean (± SE) | | | 1.20 ± 0.24 | 36 ± 8 | 8.9 ± 2.4 |
Saplings between 15 and 300 cm tall, corresponding to the height of the browse tier, were eligible to be included in the study. Eight to 10 saplings of each species were assigned to each of six clipping treatments, giving 48–60 samples per species. Clipping treatments were imposed in January, February and March of 2002, by using secateurs to remove fixed percentages of leaves and their associated branches from each plant (0, 20%, 40%, 60%, 80% or 100%), using a tape measure to estimate lengths and to select where to clip. For example, when 100% of leaves were removed, the branches were cut just below the nodes of the oldest leaves on the branches, and when 40% of leaves were removed, that amount was clipped off each first order lateral branch and the apical branch of the plant. These treatments are severe in comparison to those used in many previous studies of simulated ungulate browsing, which have removed varying fractions of only the current year's growth (e.g. Campa et al. 1992; Canham et al. 1994), but were thought appropriate as such levels of consumption are commonly observed on deer-palatable species in New Zealand forests (J. N. Bee, unpublished data). Branch length was removed as fixed percentages rather than absolute amounts in order to keep the relative intensity of clipping invariant with plant size. Other studies have tried to accurately reproduce deer browse by, for instance, using deer jaws to cut the branches and applying saliva to the cuts: the simplicity of our browsing treatment was necessitated by the large-scale cross-species comparisons that we were making (cf. Baldwin 1990).
Saplings were selected from a wide range of light environments as limited sapling availability prevented us from selecting within a narrow range of light environments. Light levels were quantified from HEMIPHOT images taken using a digital camera (Nikon Cool-Pix, 1.3 Megapixel resolution) immediately above the top of each sapling and analysed using GLA software (Frazer et al. 1999). Light intensities are reported as the percentage of above-canopy direct plus diffused light that reaches each sapling.
At the time of clipping, the two orthogonal measurements of trunk diameter were taken for each plant, at 10 cm from the ground, using callipers (resolution ± 0.05 mm) and measurement points were marked with white paint. Repeat measurements were made after 12 and 24 months, and annual growth increment was calculated by subtraction of the previous year's measurement. New shoot production was assessed 1 year after clipping for 10 of the 12 species in which that year's new growth could be clearly distinguished from old growth by its pale colouration and softer tissue. The large size of most saplings made it impractical to score each whole plant for new growth, so four primary branches were subsampled at random from each plant. For the small-leaved species with numerous leaves, the total length of new shoots was measured on each subsampled branch, and shoot growth was calculated as a percentage of the original length of leaf-bearing branches (i.e. distances of stems from the oldest leaves to the apices). For the larger-leaved species, the number of new leaves was counted and growth was calculated as a percentage of original leaf number. No measurements of shoot growth were made on the two species for which we could not distinguish new growth from old at the time of resampling.
Mortality was recorded 1 and 2 years after clipping. Saplings with dried, brittle stems and no obvious living tissue were classified as dead.
statistical analysis of simulated browsing experiment
Stem diameter growth was modelled separately for each species using a Michaelis–Menten function of light (Pacala et al. 1994; Finzi & Canham 2000):
(eqn 1)where G is annual diameter growth increment averaged over the 2 years of the study (mm year−1), L is light intensity (estimated by hemispherical photography), and a and b are coefficients estimated by regression: a is the light-saturated growth rate and b the light intensity at which half of the light-saturated growth rate is reached, and ɛ is the residual error. This model was fitted for each species using the gnlr routine in R version 2.1.0 (R Foundation 2005), using Gaussian errors to model ɛ. We excluded from the analyses nine outliers that we strongly suspected to have resulted from recording errors (1.5% of samples).
Next, six alternative models based on eqn 1 were then fitted for each species by the same methods. These models ask whether sapling growth depends on initial plant size and on the intensity of clipping by examining whether the light-saturated growth rate a in eqn 1 varies with these variables (Table 3). We then selected the ‘best’ model from this set by comparing their Akaike information criteria for small samples (AICc), which was calculated for each model as:
Table 3. Comparison of the statistical support for six candidate models describing the effects of clipping, light availability and plant size on stem diameter growth (mm year−1) and shoot growth (% year) of New Zealand tree species. Model 1 predicts that growth (G) is unaffected by light, clipping or plant size. Model 2 predicts that saplings respond non-linearly to light (see text for details), and models 3–6 are modifications of this basic function to accommodate the effects of clipping (C, %) and initial sapling diameter (D, mm). The lower case letters in the functions represent coefficients that were estimated by maximum likelihood methods. The statistical support for each model is given by its AICc values (summed across species): the model with the lowest AICc is most strongly supported, and is shown in bold | Null model | G = c | Growth independent of light, size and clipping | 1149.3 | 4810.9 | 1 |
| Basic model |  | Growth is a Michaelis-Menten function of light (L). a = light-saturated growth rate, b = half light-saturated growth rate | 1071.1 | 4789.8 | 2 |
| Plant size effects | a = aD | Light-saturated growth is a linear function of plant size | 1120.8 | 4967.5 | 3 |
| a = aDx | Light-saturated growth is a power function of plant size | 1075.7 | 4846.6 | 4 |
| Linear clipping effects | a = a0 + a1C | Light-saturated growth rate linearly related to clipping | 896.6 | 4776.5 | 5 |
| Quadratic clipping effect | a = a + a1C + a2C2 | Light-saturated growth is a quadratic function of clipping | 914.8 | 4765.3 | 6 |
AICc = –2 log L+ 2K(n/(n – K – 1))(eqn 2)
where K is the number of parameters and n the number of samples. Following Burnham & Anderson (2002), we ranked the candidate models from best to worst fitting based on their AICc values (the best fitting model has the smallest AICc value). We calculated a Δi value for each model as the difference between the AICc value for each model and the AICc value of the best-fitting model (i.e. the best-fitting model has a Δi value of 0). Burnham & Anderson (2002) provide some rules of thumb for assessing the relative merit of models in a candidate set: models with ΔI < 2 have substantial support, models with ΔI > 10 have virtually no support, while models with Δi values in the range 2–10 have marginal support. The whole percentage of shoot growth (as the percentage of the size of the branches before clipping) was analysed by the same method.
measures of resistance and resilience
Three different measures of resilience were calculated (Table 1), and compared with measures of resistance to damage by introduced deer. The resistance data were taken from a recent paper that compared the amount of leaves consumed by deer (i.e. appearing in the guts of culled animals) with the amounts available in the browse layer (Forsyth et al. 2005). In that study, available forage was assessed by destructive sampling of browse-layer vegetation within 292 plots of 3.14 m2 situated at a study site around 20 km to the west of Rowallan Forest, and the food selected by the deer was assessed by examining the types of gut contents of 24 culled animals. These data were used to calculate a modified form of Ivlev's index of electivity (Loehle & Rittenhouse 1982), which is given by I = (µi–πi)/(µi + πi) where i denotes the ith species,µi is the proportion of species i in the diet of deer, and πi is the proportion of species i available to deer. The value of I ranges from –1 (avoided) to +1 (highly preferred) and we give –I as our measure of resistance. Ivlev's index provides an objective measure of resistance, because it is based on comparing gut contents with environmental availability, and this contrasts with traditional approaches that define resistance in terms of traits associated with defence, such as secondary compound content, silicon and thorniness. Fuchsia excorticata was missing from that study but present in ours: it is undoubtedly one of the most highly preferred species in New Zealand (Forsyth et al. 2002), so was assigned the same value of Ivlev's index as the most selected species in the deer-gut study, which was Griselinia littoralis. Correlations between measures of resistance, resilience and maximum growth rate were tested using Spearman's rank correlation test. For all the analyses, statistical significance was assessed at α = 0.05.