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Ecology, 87(4), 2006, pp. 996–1007
Ó 2006 by the Ecological Society of America
POPULATION AND COMMUNITY RESILIENCE
IN MULTITROPHIC COMMUNITIES
CHRISTOPHER F. STEINER,1
ZACHARY T. LONG,2
JENNIFER A. KRUMINS, AND PETER J. MORIN
Department of Ecology, Evolution, and Natural Resources, Rutgers University, New Brunswick, New Jersey 08901 USA
Abstract. Diversity–stability relationships have long been a topic of controversy in
ecology, but one whose importance has been re-highlighted by increasing large-scale threats to
global biodiversity. The ability of a community to recover from a perturbation (or resilience) is
a common measure of stability that has received a large amount of theoretical attention. Yet,
general expectations regarding diversity–resilience relations remain elusive. Moreover, the
effects of productivity and its interaction with diversity on resilience are equally unclear. We
examined the effects of species diversity, species composition, and productivity on population-
and community-level resilience in experimental aquatic food webs composed of bacteria,
algae, heterotrophic protozoa, and rotifers. Productivity manipulations were crossed with
manipulations of the number of species and species compositions within trophic groups.
Resilience was measured by perturbing communities with a nonselective, density-independent,
mortality event and comparing responses over time between perturbed communities and
controls. We found evidence that species diversity can enhance resilience at the community
level (i.e., total community biomass), though this effect was more strongly expressed in low-
productivity treatments. Diversity effects on resilience were driven by a sampling/selection
effect, with resilient communities showing rapid response and dominance by a minority of
species (primarily unicellular algae). In contrast, diversity had no effect on mean population-
level resilience. Instead, the ability of a community’s populations to recover from
perturbations was dependent on species composition. We found no evidence of an effect of
productivity, either positive or negative, on community- or population-level resilience. Our
results indicate that the role of diversity as an insurer of stability may depend on the level of
biological organization at which stability is measured, with effects emerging only when
focusing on aggregate community properties.
Key words: biodiversity; biomass; composition; ecosystem functioning; microcosm; productivity;
protists; resilience; stability.
INTRODUCTION
The impact of species diversity on emergent properties
of communities and ecosystems is a central issue in
ecology that has recently gained renewed attention in
light of widespread, human-induced alterations of the
earth’s biota (Tilman 1999, Kinzig et al. 2002, Loreau et
al. 2002b). Much of this interest has been directed
toward understanding how altered species diversity may
affect the stability of populations, communities, and
ecosystems (McCann 2000, Loreau et al. 2002a, Schmid
et al. 2002). This topic has a long history in ecology and
few debates have been as contentious. Yet, little
consensus has been gained regarding diversity–stability
relationships despite decades of attention replete with
theoretical consideration. A stumbling block toward
advancement is the paucity of direct experimental
investigation; few studies exist in which species diversity
has been directly manipulated and different facets of
stability examined. Fewer still are studies that have
considered how species diversity and composition may
interact with environmental context (e.g., system enrich-
ment and productivity) to determine stability.
Confusion surrounding diversity–stability relation-
ships is due in part to the many ways in which stability
may be defined and measured (Pimm 1984, McCann
2000). In this study, we examine stability as resilience, or
the rate at which some attribute of a community returns
to its preperturbation state following a system-wide
perturbation (Pimm 1984). Early theoretical studies
focused primarily on population-level resilience: the
ability of all populations within a community to recover
from perturbations away from stable equilibria. In his
well-known treatment of the subject, May (1973)
analyzed eigenvalues of randomly generated Lotka-
Volterra community matrices to examine population-
level resilience and showed that the probability of
finding a stable food web composition decreased as a
function of increasing species diversity. However,
natural communities are likely not random in structure,
and numerous community attributes may counter the
Manuscript received 11 May 2005; revised 17 October 2005;
accepted 24 October 2005. Corresponding Editor: M. Holyoak.
1
Present address: W. K. Kellogg Biological Station,
Michigan State University, 3700 E. Gull Lake Drive, Hickory
Corners, Michigan 49060 USA; E-mail: steiner8@msu.edu
2
Present address: Institute of Marine Sciences, University
of North Carolina, Chapel Hill, Morehead City, North
Carolina 28557 USA.
996
destabilizing effects of increased diversity such as
reduced connectance, reduced average interaction
strength, self-limitation of populations, and donor
control (May 1973, DeAngelis 1975, Pimm 1982, Hay-
don 1994). Consequently, natural environmental fluctu-
ations and dynamic constraints could select for
community attributes that enhance system resilience
independent of diversity (Pimm 1982, Fox and
McGrady-Steed 2002). This suggests that population-
level resilience may show no consistent relationship with
diversity but may be more strongly dependent on species
composition.
How diversity affects the resilience of aggregate
community properties such as total community biomass
(i.e., community-level resilience) is unclear as well.
Models of single trophic level communities suggest that
community-level resilience may decrease with diversity,
achieve maximum resilience at intermediate values, or
show no relationship with diversity (Loreau and Behera
1999, Lehman and Tilman 2000). Moreover, the ability
to derive useful predictions of community-level resilience
from equilibrial analyses of community matrices and
population-level resilience (e.g., May 1973, Moore et al.
1993, Loreau and Behera 1999) is problematic.
Although theoretical predictions of population-level
resilience obtained from such analyses translate into
community-level resilience, the two may not correlate in
nature. For instance, it is conceivable that a subset of
species within a natural community may be able to
rapidly respond following a perturbation, dominating
community biomass and giving rise to high community-
level resilience but low mean population-level resilience.
Diversity could enhance such effects by increasing the
probability of including species that respond rapidly
following density reductions; what is commonly termed
a ‘‘sampling’’ or ‘‘selection’’ effect (sensu Huston 1997,
Tilman et al. 1997).
While the impact of diversity on stability has enjoyed
abundant attention, theoretical consideration of the
influence of productivity on resilience is sparse and
highly equivocal concerning predictions. Though some
studies have found that productivity may enhance
population and community resilience (DeAngelis 1992,
Moore et al. 1993), others have shown that no simple
relationship between productivity and resilience may
exist, with predictions being highly dependent on model
structure and assumptions (Stone et al. 1996, Lundgren
and Frodin 1998, Xu and Li 2002). Even less clear is
how productivity may interact with diversity to deter-
mine stability. While some studies have explored the
combined impact of variable food chain length and
productivity on resilience (DeAngelis 1992, Moore et al.
1993), we know of no studies that have examined such
effects within complex food webs.
Despite ambiguous and seemingly contradictory
model predictions, empirical explorations of resilience
employing direct manipulations of species diversity have
recently emerged (Mulder et al. 2001, Pfisterer and
Schmid 2002, Allison 2004). However, these studies
suffer from certain limitations. First, all have used
selective mortality agents (e.g., drought) to perturb their
communities. Second, none have utilized multitrophic
communities, focusing only on autotrophs, making
application to natural settings and existing theory
tenuous (e.g., May 1973, Pimm 1982). We know of no
studies that have experimentally explored how produc-
tivity may influence diversity–resilience relationships.
Here we present results of an experiment in which we
used multitrophic aquatic systems composed of bacteria,
algae, heterotrophic protozoa, and rotifers to examine
the effects of species diversity, species composition, and
productivity on the resilience of community- and
population-level biomass. We predicted that popula-
tion-level resilience would show no consistent relation-
ship with diversity but would be dependent instead on
species composition. We further predicted that com-
munity-level diversity could enhance resilience by
increasing the incidence of species that exhibit rapid
biomass responses following disturbance (a selection
effect). Given the ambiguity of the theoretical literature
on productivity effects, we formulated no hypotheses
regarding the influence of productivity on population-
or community-level resilience.
METHODS
Experimental design
Microcosms consisted of 200-mL, loosely capped
Pyrex bottles. All experiments were conducted within
incubators at 228C under a 12:12 h light:dark cycle. We
assembled all experimental communities to include five
trophic groups: decomposers (bacteria), primary pro-
ducers (single-celled algae), bacterivores (protozoa),
algivores/bacterivores (protozoa and rotifers), and
omnivorous top predators (protozoa). All species in
our source pool were maintained as laboratory stock
cultures (for species lists and culture sources see digital
Appendix A). Each microcosm received one sterilized
wheat seed as a slow-release carbon/nutrient source and
100 mL of nutrient medium consisting of distilled water,
sieved soil (obtained from the grounds of Rutgers
University), and Protist Pellet (Carolina Biological
Supply, Burlington, North Carolina, USA) as a carbon
and nutrient source. All materials were autoclave
sterilized before use.
We used a nested experimental design consisting of
three diversity levels (low, medium, high) created by
manipulating the number of species within four of our
trophic groups: primary producers, bacterivores, algi-
vores/bacterivores, and omnivorous top consumers.
Diversity treatments consisted of either one, two, or
four species per trophic group, respectively. Nested
within each diversity level were four unique species
compositions created by randomly drawing species for
each trophic group from our laboratory source pool
(Appendix B). We attempted to exclude species combi-
nations that were known to be unviable based on known
April 2006 997DIVERSITY–STABILITY RELATIONSHIPS
biology. Diversity/composition treatments were crossed
with two levels of productivity (low and high).
Productivity was manipulated by varying soil and
Protist Pellet concentrations, with low-productivity
treatments receiving 0.07 g pellet/L and 0.167 g soil/L
and high-productivity treatments receiving 0.70 g pellet/
L and 1.67 g soil/L. Medium concentrations equated to
total phosphorus concentrations of 25.4 lg/L for low-
productivity treatments and 145.8 lg/L for high-
productivity treatments—values spanning the mesotro-
phic to hypereutrophic range (Wetzel 2001). Each
treatment combination was replicated two times for a
total of 48 microcosms.
Food web assembly and treatment imposition
All microcosms received a common bacterial com-
munity and an assemblage of heterotrophic micro-
flagellates. We added microflagellates because they are
a common experimental contaminant; thus, we equal-
ized the probability of their inclusion in all replicates.
Sterilized medium first received three species of bacteria
(Serratia marcescens, Bacillus cereus, and Bacillus
subtilis) known to be edible by all the bacterivores in
our study and a low density inoculum of microflagellates
(maintained as a laboratory culture). Because nonsterile
stock cultures contained additional species of bacteria,
we created a pooled bacterial inoculum by filtering ;1
mL of medium from all stock cultures through a sterile
1.2-lm filter to remove protists, algae, and rotifers. This
isolate was then added to the experimental media. To
monitor for contaminants that may have passed through
the 1.2-lm filter, we added a small volume of the
inoculum to bottles containing low- and high-produc-
tivity sterile medium (three replicates of each concen-
tration). We detected the following contaminants: two
unknown species of unicellular green algae, Chrysopsis
(an algal flagellate), and Uronema (a bacterivorous
ciliate). These taxa were detected in several experimental
replicates. It is likely all contaminants had equal
opportunity to invade all of our microcosms.
Two days after addition of bacteria, primary pro-
ducers were added to their respective treatments (;1 3
105
cells per species per microcosm). Bacterivores and
algivores were added four days later (10–50 individuals
per species per microcosm). Primary consumers were
allowed to respond numerically for 8 d, at which time
top predators were isolated from stock cultures and
added to their respective treatments (10 individuals per
species per microcosm). Hereafter, we refer to this as day
0 of the experiment. Although total biomass initially
varied among our diversity/composition treatments, all
populations that persisted in the microcosms exhibited
increases in density in the first week of the experiment.
Thus, effects of varying initial conditions were minimal.
Because the majority of existing theory on resilience has
focused on systems closed to immigration and emigra-
tion, we maintained our microcosms as semiclosed
systems with no species dispersal. We performed weekly
replacements of 10% of medium from each replicate with
sterile medium to replenish nutrients.
To sample microcosms, bottles were first gently mixed
and a small volume of medium was removed and
examined with a dissecting microscope. We generally
removed 900-1500 lL of medium; rare taxa were
enumerated by counting the entire sample volume while
abundant taxa were counted in smaller subsamples.
Algae and microflagellates were enumerated using a
hemacytometer and a compound microscope. Beginning
on day 5, we sampled microcosms every three to four
days up to day 22. On day 25 all experimental
communities were perturbed by imposing a nonselective,
density-independent mortality event in the form of a
dilution. To perturb communities, each bottle was
thoroughly mixed and 10 mL of medium (10% of total
volume) was transferred by pipette to a new bottle
containing 90 mL of fresh, sterile medium. We retained
the source microcosm as a control for its corresponding
experimental treatment. Two days after the perturbation
(day 27) we sampled all microcosms every two days up
to day 31 and then every three to six days up to day 53
(the final date of the experiment). This duration was
long enough to encompass numerous generations of our
species which had generation times on the order of a few
hours (for some protists) to two days (for rotifers, our
largest organisms). To measure biomass, we multiplied
species densities by species-specific biomass constants
obtained from lab records and published accounts
(Foissner and Berger 1996). Biomass and diversity of
bacteria are not considered in our analyses.
Quantifying resilience
Quantifying resilience requires determination of a
reference state with which to compare the perturbed
community. While theory measures resilience as the rate
of a population or community’s return to a stable
equilibrium, population- and community-level biomass
measures in our controls were highly variable over time
(e.g., Fig. 1). Prior methods have used the limits of a
confidence interval around the mean of the control as a
reference (e.g., Cottingham et al. 2004). However,
confidence limits may contain negative values for highly
variable populations and communities (this was the case
for many of our populations). As a compromise, we
used biomass measures of our controls averaged over
the post-perturbation experimental period (Fig. 1).
To measure community-level resilience, we used
ln(total biomass) of the control averaged over time.
For each replicate and postperturbation sample, we then
took the difference between ln(biomass) measured in the
perturbed community and the average ln(biomass)
measured in its corresponding control (i.e., the natu-
ral-log ratio). We used linear regression to examine the
relationship between the natural-log ratio as the depend-
ent variable and time as the independent variable. The
slope from the regression model was used as a measure
of resilience, or how rapidly the natural-log ratio
CHRISTOPHER F. STEINER ET AL.998 Ecology, Vol. 87, No. 4
approached zero (Fig. 1). To determine whether
diversity–resilience patterns were caused by rapid
response and dominance by a subset of species, we
examined the relationship between resilience and the
change in species evenness over time within our
perturbed communities. For each replicate and post-
perturbation sample, we calculated evenness using a
modified form of Simpson’s dominance index (equation
E1/D in Smith and Wilson [1996]). We then used the
slope of the linear regression between evenness and time
as a measure of the rate of change in evenness. To
determine the degree to which community-level resil-
ience was driven by producers versus consumers
(algivores, bacterivores, and top predators), we also
calculated resilience measures for these two groups
separately (using the above method). We did not
calculate separate resilience measures for the three
consumer trophic groups because some groups (espe-
cially top consumers) commonly fell below the limits of
detection following perturbations, making calculation of
ln ratios impossible.
To measure mean population-level resilience, we first
calculated a similarity coefficient (S) based on the
Canberra dissimilarity index (Legendre and Legendre
1998) for each replicate and for each postperturbation
sample,
S ¼ 1 À
1
t
ðDÞ
D ¼
Xt
j¼1
jyPj À yCj j
ðyPj þ yCjÞ
 
where t was the total number of species, yPj was the
untransformed biomass of species j in the perturbed
community, and yCj was species j’s time-averaged
biomass in its corresponding control. We chose this
metric because it is not sensitive to differences in species
richness, total biomass, or evenness (C. F. Steiner,
personal observation). Relationships between S and time
were commonly saturating. To linearize relationships,
we log10 transformed time and used the slope from the
linear regression between similarity (S) and log10(time)
as a relative measure of population-level resilience.
Statistical analysis
Due to methodological error, data from several low-
and medium-diversity controls were lost on day 34. We
have entirely removed this sample date from all stability
calculations and statistical analyses. We analyzed
measures of resilience using a mixed model ANOVA,
with composition (a random effect) nested within
diversity and crossed with productivity. Species compo-
sitions diverged rapidly from their initial states; this and
the presence of contaminants caused realized diversity to
vary within our diversity treatments. Consequently, we
also analyzed the effects of realized species richness on
stability using ANCOVA, treating productivity as a
fixed effect and realized species richness as a continuous
covariate. To further explore potential determinants of
population and community-level resilience, we per-
formed stepwise multiple linear regressions for low and
high-productivity treatments separately. The following
explanatory variables were entered in the analyses:
average realized species richness, change in species
evenness over time, log10(mean total community bio-
FIG. 1. Example dynamics of a perturbed system, its
corresponding control, and its community-level resilience.
Perturbation was imposed on day 25. Results are for one
replicate of the medium-diversity, composition 5 treatment, at
high productivity. (A) Community-level biomass through time
in the control and perturbed communities. The dashed line
represents time-averaged biomass in the control over the
postperturbation period. (B) The difference between ln(com-
munity-level biomass) in the perturbed community and the
time-averaged ln(biomass) of the control (i.e., the natural-log
ratio) through time. The linear regression line is shown; the
slope of this relationship was used as a measure of community-
level resilience.
April 2006 999DIVERSITY–STABILITY RELATIONSHIPS
mass), and log10(mean per capita biomass) (as a measure
of average size per individual). Mean total community
biomass for each perturbed community was averaged
over the postperturbation period to obtain a single
measure. To calculate mean per capita biomass, for each
perturbed community and postperturbation sample
date, biomass was summed across species (excluding
bacteria) and divided by the total number of individuals
present. Values were then averaged over the postpertur-
bation period to obtain a time-average. All statistics
were performed using Systat Version 8 (Systat Software,
Point Richmond, California, USA) and SAS Version 8
(SAS Institute, Cary, North Carolina, USA).
RESULTS
Realized species richness initially declined and ap-
peared to stabilize by day 8 of the experiment (Fig. 2).
Though species richness diverged between productivity
levels and among composition treatments, significant
differences in realized species richness were still present on
day 22, prior to perturbations (Fig. 2; F2,42 ¼ 32.39, P
, 0.0001, diversity effect, ANOVA; P , 0.005, all
pairwise comparisons, Tukey’s hsd). No productivity or
productivity 3 diversity effect was detected (P . 0.13,
ANOVA).
Community-level resilience
When using nested ANOVA, we detected no effects of
diversity, productivity or species composition on com-
munity-level resilience (Fig. 3A, B; P . 0.14, all effects
and interactions). However, variation among composi-
tion treatments was highly heterogeneous (Fig. 3B).
Thus, some caution regarding analyses is warranted.
Variances were especially high for low-productivity
compositions 2 and 4 (Fig. 3B). For both of these
treatments, a contaminant species (Uronema) invaded
one replicate but not the other, causing divergent
responses. However, when using nonparametric AN-
OVA, no effect of composition was detected at either
low (P ¼ 0.38, Kruskal-Wallis test) or high productivity
(P ¼ 0.15, Kruskal-Wallis test).
Fig. 3A suggests a positive effect of diversity on
community-level resilience, especially at low productiv-
ity. This was clearer when analyzing effects of realized
species richness (averaged over the postperturbation
period) on community-level resilience (Fig. 3C). A
significant effect of realized species richness was detected
when using ANCOVA (F1,44 ¼ 4.05, P ¼ 0.050, R2
¼
0.12); no effect of productivity or its interaction with
realized richness was present (P . 0.257, ANCOVA).
Although no interaction with productivity was detected
using ANCOVA, regressions showed that community-
level resilience was related to realized species richness at
low productivity (R2
¼ 0.163, P ¼ 0.050) but not in high-
productivity treatments (R2
¼ 0.022, P ¼ 0.487).
Primary producers more strongly contributed to
community-level resilience compared to consumers
(Fig. 4). Although significant positive relationships were
detected for primary producers (R2
¼ 0.57, P , 0.0001,
linear regression) and consumers (R2
¼ 0.16, P ¼ 0.005,
linear regression), resilience of total primary producer
biomass was greater than consumer resilience when
averaging across all replicates (P , 0.001, t test).
Moreover, consumer resilience measures fell near or
below zero for several food webs (Fig. 4) indicating that
consumer responses commonly weakened community
recovery or had little influence.
When analyzing community-level resilience using
forward and backward stepwise regressions, only change
in species evenness was retained in the model. This was
true of low-productivity treatments (R2
¼ 0.297, P ¼
0.006) and high-productivity treatments (R2
¼ 0.207, P ¼
0.025). Those communities that exhibited high commu-
nity-level resilience were those that showed rapid
decreases in evenness following perturbations (Fig. 5).
This effect was stronger in low-productivity treatments as
indicated by a significant interaction between change in
evenness and productivity when using ANCOVA (F1,44 ¼
4.10, P¼ 0.049). Change in species evenness also covaried
with average realized species richness at low productivity,
becoming more negative with increasing species richness
(r ¼À0.40, P ¼ 0.053, Pearson correlation). No relation-
ship was detected at high productivity (P ¼ 0.95).
To determine which species were driving community-
level resilience, for each replicate we performed correla-
tions between species biomass responses (log10[x þ 1]
transformed) in perturbed treatments and the natural log
ratio of community-level biomass; Bonferroni adjusted P
values were used to adjust for multiple comparisons. A
positive correlation indicates that an increase in the
FIG. 2. Change in total species richness over time (means 6
SE) in all six diversity and productivity treatment combinations.
Dashed lines are low-productivity, and solid lines are high-
productivity treatments. Results are up to the last sample date
before the perturbation was imposed.
CHRISTOPHER F. STEINER ET AL.1000 Ecology, Vol. 87, No. 4
biomass of a species was associated with a decreasing
negative value of the ln(ratio) and was thus contributing
to community-level resilience. We found that commu-
nity-level resilience was commonly associated with re-
sponses by primary producers, consistent with Fig. 4. Of
34 positive correlations significant at the P , 0.10 level,
only five were attributable to consumer species. Twenty
correlations were due solely to the unicellular green algae
Ankistrodesmus and Chlorella, which were especially
rapid in their responses following perturbations. Fig. 6
displays the relationship between community-level resil-
ience and the relative biomass of Ankistrodesmus and/or
Chlorella (results are averages grouped by composition
and productivity treatment). Increasing dominance by
FIG. 3. (A) Resilience of community-level biomass as a function of low, medium, and high species diversity treatments at both
productivity levels. Values shown are mean 6 SE of values that were first averaged across compositions. (B) Community-level
resilience as a function of species composition at low and high productivity. Values are mean 6 SE. Vertical lines demarcate low-,
medium-, and high-diversity treatments (from left to right). (C) Community-level resilience as a function of average realized species
richness at low and high productivity. Linear regression lines for low-productivity treatments (solid line) and high-productivity
treatments (dashed line) are shown.
April 2006 1001DIVERSITY–STABILITY RELATIONSHIPS
these algae was associated with increasing community-
level resilience (r ¼ 0.58, P ¼ 0.003, Pearson correlation).
Moreover, when using two-way ANOVA, presence of
these two species (either alone or together) was
significantly and positively related to community-level
resilience (F1,44 ¼ 5.65, P ¼ 0.02) regardless of diversity
level; no interaction with productivity (P ¼ 0.69) or a
productivity main effect was detected (P ¼ 0.41).
Mean population-level resilience
No effect of diversity on population-level resilience
was detected when using nested ANOVA (Fig. 7A; P ¼
0.727, diversity effect; P¼0.362, diversity3productivity
effect). Population-level resilience varied significantly
among composition treatments. However, the magni-
tude of composition effects varied with productivity
level, as indicated by a significant productivity 3
composition interaction (Fig. 7B; F9,24 ¼ 2.33, P ,
0.048); no main effect of composition was present (P ¼
0.158). Much like community-level responses, variances
were somewhat heterogeneous among composition
treatments (Fig. 7B). However, nonparametric ANOVA
also revealed composition effects on population-level
resilience (P ¼ 0.057, Kruskal-Wallis test). When
examining the relationship between average realized
species richness, productivity, and population-level
resilience, no significant effects were present (Fig. 7C;
P . 0.15, ANCOVA, all effects and interactions).
Stepwise regressions with population-level stability
produced different results for low and high-productivity
treatments. At low productivity, only mean per capita
biomass was retained in forward and backward regres-
sions (R2
¼ 0.207, P ¼ 0.026). Population-level resilience
decreased with increasing mean size of individuals (Fig.
FIG. 4. The relationship between the resilience of primary
producers (solid line) and consumers (dashed line) and
community-level resilience. Linear regression lines are shown.
FIG. 5. Community-level resilience as a function of change
in species evenness over time at low and high productivity.
Regression lines for low-productivity treatments (solid line) and
high-productivity treatments (dashed line) are shown.
FIG. 6. The relationship between mean community-level
resilience and the mean (6SE) relative biomass of Ankistrodes-
mus and/or Chlorella. Results have been grouped by composi-
tion and productivity treatment. Algal relative biomass was
measured in the perturbation treatments on the final date of the
experiment (results were qualitatively similar when using
relative biomass averaged over time). The linear regression line
is shown.
CHRISTOPHER F. STEINER ET AL.1002 Ecology, Vol. 87, No. 4
8). No explanatory variables were retained at the P ,
0.05 level in high-productivity treatments.
DISCUSSION
Of the numerous factors thought to influence the
stability of populations and communities, diversity
remains highly controversial. Healthy debate began
early, impelled in large part by the mathematical
explorations of May (1973), which appeared to contra-
dict the prevailing wisdom that diversity should give rise
to stability (reviewed in Goodman 1975, McNaughton
1977). Theory since has done much to ascertain critical
mechanisms that may affect diversity–stability relation-
ships but has arguably done less to clarify what
FIG. 7. (A) Population-level resilience as a function of low, medium, and high species diversity treatments at both productivity
levels. Values shown are the mean 6 SE of values that were first averaged across compositions. (B) Population-level resilience (mean
6 SE) as a function of species composition at low and high productivity. Vertical lines demarcate low-, medium-, and high-diversity
treatments (from left to right).(C) Population-level resilience as a function of average realized species richness at low and high
productivity.
April 2006 1003DIVERSITY–STABILITY RELATIONSHIPS
relationships are to be expected in nature and under
what environmental contexts. Rigorous experimental
studies of the impact of species diversity on stability are
a relatively recent development that may begin to
provide some resolution to this complex issue.
Community-level resilience
Our experiment provided evidence that species diver-
sity can enhance the stability of aggregate community
properties. Resilience of total community biomass
increased as a function of increasing realized species
richness in low-productivity treatments. However, di-
versity was clearly a weak explanatory variable in our
study, accounting for a relatively small percentage of
variation in community-level resilience. Hence, species
diversity does not consistently ensure system stability.
Community-level resilience was driven by rapid response
and dominance by a minority of species following
perturbations; more resilient communities were those
that exhibited decreases in evenness over time (Fig. 5).
More importantly, in low-productivity treatments more
diverse communities showed a greater tendency for
evenness to decrease following perturbations. Thus, this
mechanism may explain, in part, our positive diversity-
resilience relationship. Because our mortality agent was
non-selective in nature (removing a set percentage of all
populations), differences among communities in even-
ness responses were not due to differences in species’
abilities to resist initial perturbations. This point
distinguishes our experiment from earlier diversity-
perturbation studies (Mulder et al. 2001, Pfisterer and
Schmid 2002, Allison 2004) in which the use of selective
mortality agents potentially confounds population
responses (and resilience) with differential resistance
among species to the initial perturbation. Our results
suggest fundamental differences among communities in
the rate of species’ population responses; some com-
munities contain species that respond quickly, dominat-
ing biomass and lowering overall evenness.
The tendency for more diverse communities to exhibit
higher resilience and stronger decreases in evenness over
time indicates that these communities had a greater
probability of harboring species with rapid population
responses. Past studies that have sought mechanistic
insight into the positive effect of species diversity on
ecosystem functioning have commonly focused on two
broad classes of processes: complementarity effects and
selection effects (Huston 1997, Tilman et al. 1997,
Loreau and Hector 2001). The former occurs as a result
of niche differentiation and resource partitioning among
co-occurring species. The latter emerges when species
that have strong effects on ecosystem functioning in
monoculture occur in polycultures. Unfortunately,
existing methods for mathematically partitioning com-
plementarity and selection effects require measurement
of the focal ecosystem response variable in both mono-
and polycultures (Loreau and Hector 2001), an impos-
sibility in a multitrophic design such as ours. Regardless,
our study provided support for the selection effects
model. Diversity effects on community-level resilience in
our experiment did not appear to be a result of the
‘‘inherent’’ dynamic or structural properties of more
diverse food webs per se. If such were the case, we would
expect the majority of populations within diverse
communities to rapidly rebound following perturba-
tions. However, population-level resilience showed no
relationship with diversity in our experiment. Rather,
more diverse communities, by chance, included species
that were able to exhibit rapid biomass responses
following mass mortality events. Selection effects are
expected to be especially strong when the number of
species combinations among high diversity communities
are high relative to the number of species available in the
species pool. This was especially true in our experiment
in which our pool of available algal species was quite
small. In fact, Ankistrodesmus and Chlorella (the two
algal species that strongly dominated following pertur-
bations) were present either alone or together in all of
our high diversity manipulations (Appendix B).
While selection effects are a viable explanation for our
positive diversity–community-resilience relationship,
they may not be the only explanation for observed
responses. Though high resilience was commonly
associated with high relative biomass by Ankistrodesmus
and Chlorella, presence of these species did not
invariably translate into dominance by these algae or
high community-level stability (Fig. 6). For example,
Chlorella responses drove high resilience in composition
10 at low productivity (Fig. 3B); this high diversity
treatment not only had high community-level resilience
but the second strongest decrease in evenness over time.
However, Chlorella was also present in low diversity,
FIG. 8. The relationship between population-level resilience
and mean per capita biomass in low-productivity treatments.
The linear regression line is shown.
CHRISTOPHER F. STEINER ET AL.1004 Ecology, Vol. 87, No. 4
composition 3 (Fig. 3B; the black triangle below the
regression line in Fig. 6); at low productivity, this
treatment had extremely low resilience, low mean
Chlorella relative biomass, and the strongest increase
in evenness. This suggests that some aspect of compo-
sition or diversity allowed strong Chlorella responses
(and high resilience) in one treatment but not the other.
Differential responses could be due to several factors.
For instance, more diverse communities may have had a
higher probability of including predators that more
effectively controlled algivores, indirectly benefiting
dominant species such as Chlorella or Ankistrodesmus.
Additionally, we observed that decomposition rates
within our experimental communities (as measured by
percentage of decomposition of wheat seeds) increased
with increasing realized species richness (J. A. Krumins,
Z. T. Long, C. F. Steiner, and P. J. Morin, unpublished
manuscript). Thus, enhanced nutrient regeneration could
have further catalyzed algal responses in high diversity
treatments. Such effects could be driven by complemen-
tarity among species and would be confounded with
perceived selection effects of Ankistrodesmus and Chlor-
ella as these taxa more frequently occurred in our high
diversity manipulations. Though we can only speculate
on the operation of these mechanisms, they serve to
highlight the complex direct and indirect effects that are
inherent in multitrophic settings.
One point of concern is that our measures of resilience
relied on natural-log ratios calculated using time-
averaged biomasses of the control treatments. This
obviously ignores temporal variability of the control.
However, two lines of evidence point to the robustness of
our general conclusions. First, when calculating natural-
log ratios by randomly pairing perturbed and control
biomasses through time, resilience measures exhibited a
positive trend with realized species diversity (P ¼ 0.07,
ANCOVA; P . 0.20 for productivity and productivity3
diversity effects). Second, when ignoring controls and
measuring the slope of the relationship between ln(per-
turbed biomass) and time (i.e., the rate of biomass
accrual in our perturbed communities), slopes were
positively related to realized species diversity (P ¼ 0.05,
ANCOVA; P . 0.20 for productivity and productivity3
diversity effects). Hence, recovery rates following per-
turbations were higher in more speciose communities.
Mean population-level resilience
Unlike community-level resilience in which responses
can be driven by any fraction of the resident community,
our measure of population-level resilience was intended to
capture the ability of all component populations (exclud-
ing bacteria) to return to their individual preperturbation
states. Of the many measures of stability, population-level
resilience has received a great amount of theoretical
attention. Although early theory suggested that diversity
could reduce population-level stability (May 1973), many
studies since have shown that this is not invariably true;
complex communities can be highly resilient (e.g., Pimm
1982, Haydon 1994). Our results indicate that population-
level resilience may show no consistent relationship, either
positive or negative, with diversity. We found no strong
effects of diversity or realized species richness on
population-level stability. Instead, variation in this
measure was dependent on species composition. At low
productivity, population resilience was driven by mean
size of individuals present in the community. Those
communities that were, on average, composed of individ-
uals with lower per capita biomass exhibited higher
population-level resilience. It is possible that this effect
was mediated by body size effects on population growth
rates; body size is known to scale strongly and negatively
with reproductive rate (Fenchel 1974). Moreover, smaller
body size and rapid reproductive rates are commonly
thought to enhance the resilience of populations (Pimm
1991). Deducing the causes of variable population-level
resilience inhigh-productivity treatmentsis moredifficult.
Nested ANOVA exposed significant variation among
compositions, indicating that variation in population-
level resilience was present among high-productivity
communities. However, regressions revealed no signifi-
cant effects of the potential explanatory variables that we
measured, including mean per capita biomass. Since a
range of factors may theoretically affect population-level
resilience, comprehending our results may require much
more detailed knowledge of community features such as
connectance and species interaction strength.
As with community-level resilience, our measures of
population-level resilience were calculated using time-
averaged population biomasses in controls, ignoring
temporal variability in the control. When we calculated
similarity indices by randomly pairing each species’
biomass in perturbed and control treatments, produc-
tivity 3 composition effects on population-level resil-
ience were weaker (P ¼ 0.13, nested ANOVA). This is
not surprising as many populations were highly variable
over time in control treatments. Thus, some caution
regarding the strength of compositional effects on
population-level resilience is warranted.
Productivity effects
Much like studies of diversity–stability relations, the
impact of productivity on stability enjoyed early
theoretical inquiry. However, this research focused
primarily on the influence of enrichment on temporal
stability of communities (Rosenzweig 1971, Gilpin
1972); theoretical explorations of the effect of produc-
tivity on resilience are a more recent development (e.g.,
DeAngelis 1992, Moore et al. 1993, Stone et al. 1996).
Some of these studies have found that productivity can
enhance resilience (DeAngelis 1992, Moore et al. 1993).
Yet, others suggest that productivity may have no
consistent effect (Stone et al. 1996, Lundgren and
Frodin 1998). Our results lend support to the latter
assertion; we found no consistent effect of productivity
on either population or community-level resilience.
When averaging across diversity and composition levels,
April 2006 1005DIVERSITY–STABILITY RELATIONSHIPS
communities in high-productivity treatments were no
more resilient than those in low-productivity treatments.
Nonetheless, productivity may interact with diversity to
determine community-level resilience; a significant rela-
tionship with realized species richness was only detected
in low-productivity treatments. However, this result
must be viewed cautiously as the effect was weak (no
interaction was detected in ANCOVA) and may have
been due to the fact that realized species richness
reached a lower minimum in low-productivity treat-
ments. We also detected a significant interaction of
productivity and species composition when analyzing
population-level resilience. For some species composi-
tions, productivity can enhance population resilience
(e.g., compositions 5 and 6, Fig. 7B). However, when
examining general trends, productivity clearly had weak
effects across the majority of compositions. Lack of a
consistent productivity effect on resilience does not
negate the possibility of observing stronger effects under
more strongly contrasting productivity conditions. Use
of more widely varying productivity levels could have
yielded different results in our study.
Conclusion
In the face of increasing threats to global biodiversity,
ecologists confront the challenge of understanding and
predicting how such changes will impact community and
ecosystem properties. The ability of populations and
communities to persist through time and withstand
external perturbations is fundamental to this emerging
issue. Fortunately, ecology is rich in theory regarding
predicted patterns and drivers of resilience. Yet,
empirical explorations have arguably lagged behind
their theoretical counterparts. As declared by McNaugh-
ton (1977) during the height of the diversity–stability
debate, ‘‘continued assertions of the validity of one or
another conclusion about diversity–stability, in the
absence of empirical tests, are acts of faith, not science.’’
The recent rise in experimental studies of stability will
hopefully begin to shed light on this important problem.
Our study adds to the growing body of evidence showing
that diversity can influence stability. Diversity can
enhance a system’s ability to return from a perturbation
by increasing the probability of including species that
can respond quickly following mortality events. How-
ever, this effect was only evident at the community-level
and in low-productivity treatments. These findings are
qualitatively similar to those in a companion study
which uncovered contrasting effects of species diversity
and composition on temporal stability (Steiner et al.
2005). Diversity effects only emerged when examining
temporal stability at the community level while compo-
sition effects outweighed diversity effects at the pop-
ulation level (Steiner et al. 2005).
Whether our conclusions extend beyond our simple
model system is an important question that can only be
answered by careful experimentation in the field. Our
study was designed as a test of theory confined to a
highly localized scale and limited species pool. In the
majority of natural systems, larger species source pools
will undoubtedly be available extending the array of
species compositions and diversity levels that a local
community may express. Moreover, species dispersal
among localities will be possible; the role that such
spatial dynamics play in ecosystem functioning and
stability is potentially considerable, but little studied
empirically (Loreau et al. 2003, Cardinale et al. 2004,
Loreau and Holt 2004). Our study also explored species
diversity effects by uniformly varying species numbers in
all trophic groups. Yet, species loss is likely not random
in natural systems with extinction risk being appor-
tioned unequally among trophic levels or among taxa
within trophic levels (Pimm et al. 1988, Petchey et al.
2004). In theory, the impact of ordered species loss on
the functioning of ecosystems may differ from random
species extinction (Ives and Cardinale 2004, Petchey et
al. 2004, Solan et al. 2004), but empirical tests of how
such processes affect the stability of populations and
communities remain unexplored. These points highlight
several potentially fruitful and vital areas of future
research. Experimental studies of diversity–resilience
relationships, especially within natural multitrophic
settings, are still in their infancy. Until further corrob-
orative evidence accumulates, our work may be cau-
tiously viewed as a prelude of patterns to come. Our
study shows that the value of diversity as a predictive
measure or insurer of resilience may be highly context
dependent, being a function of both productivity and the
level of biological organization at which stability is
measured.
ACKNOWLEDGMENTS
We thank Carla Ca´ ceres, Amy Downing, Spencer Hall, and
Cindy Hartway for thoughtful discussions; Jay Kelly for pond
access (and brunch); and Kirsten Schwarz for lab assistance.
Four anonymous reviewers provided valuable comments on
this manuscript. This research was supported by a NSF
Microbial Biology Postdoctoral Fellowship to C. F. Steiner.
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APPENDIX A
A list of species used in the experiment and culture sources (Ecological Archives E087-057-A1).
APPENDIX B
A table containing species combinations of all composition treatments (Ecological Archives E087-057-A2).
April 2006 1007DIVERSITY–STABILITY RELATIONSHIPS

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Steiner etal 2006 resilienceecology

  • 1. Ecology, 87(4), 2006, pp. 996–1007 Ó 2006 by the Ecological Society of America POPULATION AND COMMUNITY RESILIENCE IN MULTITROPHIC COMMUNITIES CHRISTOPHER F. STEINER,1 ZACHARY T. LONG,2 JENNIFER A. KRUMINS, AND PETER J. MORIN Department of Ecology, Evolution, and Natural Resources, Rutgers University, New Brunswick, New Jersey 08901 USA Abstract. Diversity–stability relationships have long been a topic of controversy in ecology, but one whose importance has been re-highlighted by increasing large-scale threats to global biodiversity. The ability of a community to recover from a perturbation (or resilience) is a common measure of stability that has received a large amount of theoretical attention. Yet, general expectations regarding diversity–resilience relations remain elusive. Moreover, the effects of productivity and its interaction with diversity on resilience are equally unclear. We examined the effects of species diversity, species composition, and productivity on population- and community-level resilience in experimental aquatic food webs composed of bacteria, algae, heterotrophic protozoa, and rotifers. Productivity manipulations were crossed with manipulations of the number of species and species compositions within trophic groups. Resilience was measured by perturbing communities with a nonselective, density-independent, mortality event and comparing responses over time between perturbed communities and controls. We found evidence that species diversity can enhance resilience at the community level (i.e., total community biomass), though this effect was more strongly expressed in low- productivity treatments. Diversity effects on resilience were driven by a sampling/selection effect, with resilient communities showing rapid response and dominance by a minority of species (primarily unicellular algae). In contrast, diversity had no effect on mean population- level resilience. Instead, the ability of a community’s populations to recover from perturbations was dependent on species composition. We found no evidence of an effect of productivity, either positive or negative, on community- or population-level resilience. Our results indicate that the role of diversity as an insurer of stability may depend on the level of biological organization at which stability is measured, with effects emerging only when focusing on aggregate community properties. Key words: biodiversity; biomass; composition; ecosystem functioning; microcosm; productivity; protists; resilience; stability. INTRODUCTION The impact of species diversity on emergent properties of communities and ecosystems is a central issue in ecology that has recently gained renewed attention in light of widespread, human-induced alterations of the earth’s biota (Tilman 1999, Kinzig et al. 2002, Loreau et al. 2002b). Much of this interest has been directed toward understanding how altered species diversity may affect the stability of populations, communities, and ecosystems (McCann 2000, Loreau et al. 2002a, Schmid et al. 2002). This topic has a long history in ecology and few debates have been as contentious. Yet, little consensus has been gained regarding diversity–stability relationships despite decades of attention replete with theoretical consideration. A stumbling block toward advancement is the paucity of direct experimental investigation; few studies exist in which species diversity has been directly manipulated and different facets of stability examined. Fewer still are studies that have considered how species diversity and composition may interact with environmental context (e.g., system enrich- ment and productivity) to determine stability. Confusion surrounding diversity–stability relation- ships is due in part to the many ways in which stability may be defined and measured (Pimm 1984, McCann 2000). In this study, we examine stability as resilience, or the rate at which some attribute of a community returns to its preperturbation state following a system-wide perturbation (Pimm 1984). Early theoretical studies focused primarily on population-level resilience: the ability of all populations within a community to recover from perturbations away from stable equilibria. In his well-known treatment of the subject, May (1973) analyzed eigenvalues of randomly generated Lotka- Volterra community matrices to examine population- level resilience and showed that the probability of finding a stable food web composition decreased as a function of increasing species diversity. However, natural communities are likely not random in structure, and numerous community attributes may counter the Manuscript received 11 May 2005; revised 17 October 2005; accepted 24 October 2005. Corresponding Editor: M. Holyoak. 1 Present address: W. K. Kellogg Biological Station, Michigan State University, 3700 E. Gull Lake Drive, Hickory Corners, Michigan 49060 USA; E-mail: steiner8@msu.edu 2 Present address: Institute of Marine Sciences, University of North Carolina, Chapel Hill, Morehead City, North Carolina 28557 USA. 996
  • 2. destabilizing effects of increased diversity such as reduced connectance, reduced average interaction strength, self-limitation of populations, and donor control (May 1973, DeAngelis 1975, Pimm 1982, Hay- don 1994). Consequently, natural environmental fluctu- ations and dynamic constraints could select for community attributes that enhance system resilience independent of diversity (Pimm 1982, Fox and McGrady-Steed 2002). This suggests that population- level resilience may show no consistent relationship with diversity but may be more strongly dependent on species composition. How diversity affects the resilience of aggregate community properties such as total community biomass (i.e., community-level resilience) is unclear as well. Models of single trophic level communities suggest that community-level resilience may decrease with diversity, achieve maximum resilience at intermediate values, or show no relationship with diversity (Loreau and Behera 1999, Lehman and Tilman 2000). Moreover, the ability to derive useful predictions of community-level resilience from equilibrial analyses of community matrices and population-level resilience (e.g., May 1973, Moore et al. 1993, Loreau and Behera 1999) is problematic. Although theoretical predictions of population-level resilience obtained from such analyses translate into community-level resilience, the two may not correlate in nature. For instance, it is conceivable that a subset of species within a natural community may be able to rapidly respond following a perturbation, dominating community biomass and giving rise to high community- level resilience but low mean population-level resilience. Diversity could enhance such effects by increasing the probability of including species that respond rapidly following density reductions; what is commonly termed a ‘‘sampling’’ or ‘‘selection’’ effect (sensu Huston 1997, Tilman et al. 1997). While the impact of diversity on stability has enjoyed abundant attention, theoretical consideration of the influence of productivity on resilience is sparse and highly equivocal concerning predictions. Though some studies have found that productivity may enhance population and community resilience (DeAngelis 1992, Moore et al. 1993), others have shown that no simple relationship between productivity and resilience may exist, with predictions being highly dependent on model structure and assumptions (Stone et al. 1996, Lundgren and Frodin 1998, Xu and Li 2002). Even less clear is how productivity may interact with diversity to deter- mine stability. While some studies have explored the combined impact of variable food chain length and productivity on resilience (DeAngelis 1992, Moore et al. 1993), we know of no studies that have examined such effects within complex food webs. Despite ambiguous and seemingly contradictory model predictions, empirical explorations of resilience employing direct manipulations of species diversity have recently emerged (Mulder et al. 2001, Pfisterer and Schmid 2002, Allison 2004). However, these studies suffer from certain limitations. First, all have used selective mortality agents (e.g., drought) to perturb their communities. Second, none have utilized multitrophic communities, focusing only on autotrophs, making application to natural settings and existing theory tenuous (e.g., May 1973, Pimm 1982). We know of no studies that have experimentally explored how produc- tivity may influence diversity–resilience relationships. Here we present results of an experiment in which we used multitrophic aquatic systems composed of bacteria, algae, heterotrophic protozoa, and rotifers to examine the effects of species diversity, species composition, and productivity on the resilience of community- and population-level biomass. We predicted that popula- tion-level resilience would show no consistent relation- ship with diversity but would be dependent instead on species composition. We further predicted that com- munity-level diversity could enhance resilience by increasing the incidence of species that exhibit rapid biomass responses following disturbance (a selection effect). Given the ambiguity of the theoretical literature on productivity effects, we formulated no hypotheses regarding the influence of productivity on population- or community-level resilience. METHODS Experimental design Microcosms consisted of 200-mL, loosely capped Pyrex bottles. All experiments were conducted within incubators at 228C under a 12:12 h light:dark cycle. We assembled all experimental communities to include five trophic groups: decomposers (bacteria), primary pro- ducers (single-celled algae), bacterivores (protozoa), algivores/bacterivores (protozoa and rotifers), and omnivorous top predators (protozoa). All species in our source pool were maintained as laboratory stock cultures (for species lists and culture sources see digital Appendix A). Each microcosm received one sterilized wheat seed as a slow-release carbon/nutrient source and 100 mL of nutrient medium consisting of distilled water, sieved soil (obtained from the grounds of Rutgers University), and Protist Pellet (Carolina Biological Supply, Burlington, North Carolina, USA) as a carbon and nutrient source. All materials were autoclave sterilized before use. We used a nested experimental design consisting of three diversity levels (low, medium, high) created by manipulating the number of species within four of our trophic groups: primary producers, bacterivores, algi- vores/bacterivores, and omnivorous top consumers. Diversity treatments consisted of either one, two, or four species per trophic group, respectively. Nested within each diversity level were four unique species compositions created by randomly drawing species for each trophic group from our laboratory source pool (Appendix B). We attempted to exclude species combi- nations that were known to be unviable based on known April 2006 997DIVERSITY–STABILITY RELATIONSHIPS
  • 3. biology. Diversity/composition treatments were crossed with two levels of productivity (low and high). Productivity was manipulated by varying soil and Protist Pellet concentrations, with low-productivity treatments receiving 0.07 g pellet/L and 0.167 g soil/L and high-productivity treatments receiving 0.70 g pellet/ L and 1.67 g soil/L. Medium concentrations equated to total phosphorus concentrations of 25.4 lg/L for low- productivity treatments and 145.8 lg/L for high- productivity treatments—values spanning the mesotro- phic to hypereutrophic range (Wetzel 2001). Each treatment combination was replicated two times for a total of 48 microcosms. Food web assembly and treatment imposition All microcosms received a common bacterial com- munity and an assemblage of heterotrophic micro- flagellates. We added microflagellates because they are a common experimental contaminant; thus, we equal- ized the probability of their inclusion in all replicates. Sterilized medium first received three species of bacteria (Serratia marcescens, Bacillus cereus, and Bacillus subtilis) known to be edible by all the bacterivores in our study and a low density inoculum of microflagellates (maintained as a laboratory culture). Because nonsterile stock cultures contained additional species of bacteria, we created a pooled bacterial inoculum by filtering ;1 mL of medium from all stock cultures through a sterile 1.2-lm filter to remove protists, algae, and rotifers. This isolate was then added to the experimental media. To monitor for contaminants that may have passed through the 1.2-lm filter, we added a small volume of the inoculum to bottles containing low- and high-produc- tivity sterile medium (three replicates of each concen- tration). We detected the following contaminants: two unknown species of unicellular green algae, Chrysopsis (an algal flagellate), and Uronema (a bacterivorous ciliate). These taxa were detected in several experimental replicates. It is likely all contaminants had equal opportunity to invade all of our microcosms. Two days after addition of bacteria, primary pro- ducers were added to their respective treatments (;1 3 105 cells per species per microcosm). Bacterivores and algivores were added four days later (10–50 individuals per species per microcosm). Primary consumers were allowed to respond numerically for 8 d, at which time top predators were isolated from stock cultures and added to their respective treatments (10 individuals per species per microcosm). Hereafter, we refer to this as day 0 of the experiment. Although total biomass initially varied among our diversity/composition treatments, all populations that persisted in the microcosms exhibited increases in density in the first week of the experiment. Thus, effects of varying initial conditions were minimal. Because the majority of existing theory on resilience has focused on systems closed to immigration and emigra- tion, we maintained our microcosms as semiclosed systems with no species dispersal. We performed weekly replacements of 10% of medium from each replicate with sterile medium to replenish nutrients. To sample microcosms, bottles were first gently mixed and a small volume of medium was removed and examined with a dissecting microscope. We generally removed 900-1500 lL of medium; rare taxa were enumerated by counting the entire sample volume while abundant taxa were counted in smaller subsamples. Algae and microflagellates were enumerated using a hemacytometer and a compound microscope. Beginning on day 5, we sampled microcosms every three to four days up to day 22. On day 25 all experimental communities were perturbed by imposing a nonselective, density-independent mortality event in the form of a dilution. To perturb communities, each bottle was thoroughly mixed and 10 mL of medium (10% of total volume) was transferred by pipette to a new bottle containing 90 mL of fresh, sterile medium. We retained the source microcosm as a control for its corresponding experimental treatment. Two days after the perturbation (day 27) we sampled all microcosms every two days up to day 31 and then every three to six days up to day 53 (the final date of the experiment). This duration was long enough to encompass numerous generations of our species which had generation times on the order of a few hours (for some protists) to two days (for rotifers, our largest organisms). To measure biomass, we multiplied species densities by species-specific biomass constants obtained from lab records and published accounts (Foissner and Berger 1996). Biomass and diversity of bacteria are not considered in our analyses. Quantifying resilience Quantifying resilience requires determination of a reference state with which to compare the perturbed community. While theory measures resilience as the rate of a population or community’s return to a stable equilibrium, population- and community-level biomass measures in our controls were highly variable over time (e.g., Fig. 1). Prior methods have used the limits of a confidence interval around the mean of the control as a reference (e.g., Cottingham et al. 2004). However, confidence limits may contain negative values for highly variable populations and communities (this was the case for many of our populations). As a compromise, we used biomass measures of our controls averaged over the post-perturbation experimental period (Fig. 1). To measure community-level resilience, we used ln(total biomass) of the control averaged over time. For each replicate and postperturbation sample, we then took the difference between ln(biomass) measured in the perturbed community and the average ln(biomass) measured in its corresponding control (i.e., the natu- ral-log ratio). We used linear regression to examine the relationship between the natural-log ratio as the depend- ent variable and time as the independent variable. The slope from the regression model was used as a measure of resilience, or how rapidly the natural-log ratio CHRISTOPHER F. STEINER ET AL.998 Ecology, Vol. 87, No. 4
  • 4. approached zero (Fig. 1). To determine whether diversity–resilience patterns were caused by rapid response and dominance by a subset of species, we examined the relationship between resilience and the change in species evenness over time within our perturbed communities. For each replicate and post- perturbation sample, we calculated evenness using a modified form of Simpson’s dominance index (equation E1/D in Smith and Wilson [1996]). We then used the slope of the linear regression between evenness and time as a measure of the rate of change in evenness. To determine the degree to which community-level resil- ience was driven by producers versus consumers (algivores, bacterivores, and top predators), we also calculated resilience measures for these two groups separately (using the above method). We did not calculate separate resilience measures for the three consumer trophic groups because some groups (espe- cially top consumers) commonly fell below the limits of detection following perturbations, making calculation of ln ratios impossible. To measure mean population-level resilience, we first calculated a similarity coefficient (S) based on the Canberra dissimilarity index (Legendre and Legendre 1998) for each replicate and for each postperturbation sample, S ¼ 1 À 1 t ðDÞ D ¼ Xt j¼1 jyPj À yCj j ðyPj þ yCjÞ where t was the total number of species, yPj was the untransformed biomass of species j in the perturbed community, and yCj was species j’s time-averaged biomass in its corresponding control. We chose this metric because it is not sensitive to differences in species richness, total biomass, or evenness (C. F. Steiner, personal observation). Relationships between S and time were commonly saturating. To linearize relationships, we log10 transformed time and used the slope from the linear regression between similarity (S) and log10(time) as a relative measure of population-level resilience. Statistical analysis Due to methodological error, data from several low- and medium-diversity controls were lost on day 34. We have entirely removed this sample date from all stability calculations and statistical analyses. We analyzed measures of resilience using a mixed model ANOVA, with composition (a random effect) nested within diversity and crossed with productivity. Species compo- sitions diverged rapidly from their initial states; this and the presence of contaminants caused realized diversity to vary within our diversity treatments. Consequently, we also analyzed the effects of realized species richness on stability using ANCOVA, treating productivity as a fixed effect and realized species richness as a continuous covariate. To further explore potential determinants of population and community-level resilience, we per- formed stepwise multiple linear regressions for low and high-productivity treatments separately. The following explanatory variables were entered in the analyses: average realized species richness, change in species evenness over time, log10(mean total community bio- FIG. 1. Example dynamics of a perturbed system, its corresponding control, and its community-level resilience. Perturbation was imposed on day 25. Results are for one replicate of the medium-diversity, composition 5 treatment, at high productivity. (A) Community-level biomass through time in the control and perturbed communities. The dashed line represents time-averaged biomass in the control over the postperturbation period. (B) The difference between ln(com- munity-level biomass) in the perturbed community and the time-averaged ln(biomass) of the control (i.e., the natural-log ratio) through time. The linear regression line is shown; the slope of this relationship was used as a measure of community- level resilience. April 2006 999DIVERSITY–STABILITY RELATIONSHIPS
  • 5. mass), and log10(mean per capita biomass) (as a measure of average size per individual). Mean total community biomass for each perturbed community was averaged over the postperturbation period to obtain a single measure. To calculate mean per capita biomass, for each perturbed community and postperturbation sample date, biomass was summed across species (excluding bacteria) and divided by the total number of individuals present. Values were then averaged over the postpertur- bation period to obtain a time-average. All statistics were performed using Systat Version 8 (Systat Software, Point Richmond, California, USA) and SAS Version 8 (SAS Institute, Cary, North Carolina, USA). RESULTS Realized species richness initially declined and ap- peared to stabilize by day 8 of the experiment (Fig. 2). Though species richness diverged between productivity levels and among composition treatments, significant differences in realized species richness were still present on day 22, prior to perturbations (Fig. 2; F2,42 ¼ 32.39, P , 0.0001, diversity effect, ANOVA; P , 0.005, all pairwise comparisons, Tukey’s hsd). No productivity or productivity 3 diversity effect was detected (P . 0.13, ANOVA). Community-level resilience When using nested ANOVA, we detected no effects of diversity, productivity or species composition on com- munity-level resilience (Fig. 3A, B; P . 0.14, all effects and interactions). However, variation among composi- tion treatments was highly heterogeneous (Fig. 3B). Thus, some caution regarding analyses is warranted. Variances were especially high for low-productivity compositions 2 and 4 (Fig. 3B). For both of these treatments, a contaminant species (Uronema) invaded one replicate but not the other, causing divergent responses. However, when using nonparametric AN- OVA, no effect of composition was detected at either low (P ¼ 0.38, Kruskal-Wallis test) or high productivity (P ¼ 0.15, Kruskal-Wallis test). Fig. 3A suggests a positive effect of diversity on community-level resilience, especially at low productiv- ity. This was clearer when analyzing effects of realized species richness (averaged over the postperturbation period) on community-level resilience (Fig. 3C). A significant effect of realized species richness was detected when using ANCOVA (F1,44 ¼ 4.05, P ¼ 0.050, R2 ¼ 0.12); no effect of productivity or its interaction with realized richness was present (P . 0.257, ANCOVA). Although no interaction with productivity was detected using ANCOVA, regressions showed that community- level resilience was related to realized species richness at low productivity (R2 ¼ 0.163, P ¼ 0.050) but not in high- productivity treatments (R2 ¼ 0.022, P ¼ 0.487). Primary producers more strongly contributed to community-level resilience compared to consumers (Fig. 4). Although significant positive relationships were detected for primary producers (R2 ¼ 0.57, P , 0.0001, linear regression) and consumers (R2 ¼ 0.16, P ¼ 0.005, linear regression), resilience of total primary producer biomass was greater than consumer resilience when averaging across all replicates (P , 0.001, t test). Moreover, consumer resilience measures fell near or below zero for several food webs (Fig. 4) indicating that consumer responses commonly weakened community recovery or had little influence. When analyzing community-level resilience using forward and backward stepwise regressions, only change in species evenness was retained in the model. This was true of low-productivity treatments (R2 ¼ 0.297, P ¼ 0.006) and high-productivity treatments (R2 ¼ 0.207, P ¼ 0.025). Those communities that exhibited high commu- nity-level resilience were those that showed rapid decreases in evenness following perturbations (Fig. 5). This effect was stronger in low-productivity treatments as indicated by a significant interaction between change in evenness and productivity when using ANCOVA (F1,44 ¼ 4.10, P¼ 0.049). Change in species evenness also covaried with average realized species richness at low productivity, becoming more negative with increasing species richness (r ¼À0.40, P ¼ 0.053, Pearson correlation). No relation- ship was detected at high productivity (P ¼ 0.95). To determine which species were driving community- level resilience, for each replicate we performed correla- tions between species biomass responses (log10[x þ 1] transformed) in perturbed treatments and the natural log ratio of community-level biomass; Bonferroni adjusted P values were used to adjust for multiple comparisons. A positive correlation indicates that an increase in the FIG. 2. Change in total species richness over time (means 6 SE) in all six diversity and productivity treatment combinations. Dashed lines are low-productivity, and solid lines are high- productivity treatments. Results are up to the last sample date before the perturbation was imposed. CHRISTOPHER F. STEINER ET AL.1000 Ecology, Vol. 87, No. 4
  • 6. biomass of a species was associated with a decreasing negative value of the ln(ratio) and was thus contributing to community-level resilience. We found that commu- nity-level resilience was commonly associated with re- sponses by primary producers, consistent with Fig. 4. Of 34 positive correlations significant at the P , 0.10 level, only five were attributable to consumer species. Twenty correlations were due solely to the unicellular green algae Ankistrodesmus and Chlorella, which were especially rapid in their responses following perturbations. Fig. 6 displays the relationship between community-level resil- ience and the relative biomass of Ankistrodesmus and/or Chlorella (results are averages grouped by composition and productivity treatment). Increasing dominance by FIG. 3. (A) Resilience of community-level biomass as a function of low, medium, and high species diversity treatments at both productivity levels. Values shown are mean 6 SE of values that were first averaged across compositions. (B) Community-level resilience as a function of species composition at low and high productivity. Values are mean 6 SE. Vertical lines demarcate low-, medium-, and high-diversity treatments (from left to right). (C) Community-level resilience as a function of average realized species richness at low and high productivity. Linear regression lines for low-productivity treatments (solid line) and high-productivity treatments (dashed line) are shown. April 2006 1001DIVERSITY–STABILITY RELATIONSHIPS
  • 7. these algae was associated with increasing community- level resilience (r ¼ 0.58, P ¼ 0.003, Pearson correlation). Moreover, when using two-way ANOVA, presence of these two species (either alone or together) was significantly and positively related to community-level resilience (F1,44 ¼ 5.65, P ¼ 0.02) regardless of diversity level; no interaction with productivity (P ¼ 0.69) or a productivity main effect was detected (P ¼ 0.41). Mean population-level resilience No effect of diversity on population-level resilience was detected when using nested ANOVA (Fig. 7A; P ¼ 0.727, diversity effect; P¼0.362, diversity3productivity effect). Population-level resilience varied significantly among composition treatments. However, the magni- tude of composition effects varied with productivity level, as indicated by a significant productivity 3 composition interaction (Fig. 7B; F9,24 ¼ 2.33, P , 0.048); no main effect of composition was present (P ¼ 0.158). Much like community-level responses, variances were somewhat heterogeneous among composition treatments (Fig. 7B). However, nonparametric ANOVA also revealed composition effects on population-level resilience (P ¼ 0.057, Kruskal-Wallis test). When examining the relationship between average realized species richness, productivity, and population-level resilience, no significant effects were present (Fig. 7C; P . 0.15, ANCOVA, all effects and interactions). Stepwise regressions with population-level stability produced different results for low and high-productivity treatments. At low productivity, only mean per capita biomass was retained in forward and backward regres- sions (R2 ¼ 0.207, P ¼ 0.026). Population-level resilience decreased with increasing mean size of individuals (Fig. FIG. 4. The relationship between the resilience of primary producers (solid line) and consumers (dashed line) and community-level resilience. Linear regression lines are shown. FIG. 5. Community-level resilience as a function of change in species evenness over time at low and high productivity. Regression lines for low-productivity treatments (solid line) and high-productivity treatments (dashed line) are shown. FIG. 6. The relationship between mean community-level resilience and the mean (6SE) relative biomass of Ankistrodes- mus and/or Chlorella. Results have been grouped by composi- tion and productivity treatment. Algal relative biomass was measured in the perturbation treatments on the final date of the experiment (results were qualitatively similar when using relative biomass averaged over time). The linear regression line is shown. CHRISTOPHER F. STEINER ET AL.1002 Ecology, Vol. 87, No. 4
  • 8. 8). No explanatory variables were retained at the P , 0.05 level in high-productivity treatments. DISCUSSION Of the numerous factors thought to influence the stability of populations and communities, diversity remains highly controversial. Healthy debate began early, impelled in large part by the mathematical explorations of May (1973), which appeared to contra- dict the prevailing wisdom that diversity should give rise to stability (reviewed in Goodman 1975, McNaughton 1977). Theory since has done much to ascertain critical mechanisms that may affect diversity–stability relation- ships but has arguably done less to clarify what FIG. 7. (A) Population-level resilience as a function of low, medium, and high species diversity treatments at both productivity levels. Values shown are the mean 6 SE of values that were first averaged across compositions. (B) Population-level resilience (mean 6 SE) as a function of species composition at low and high productivity. Vertical lines demarcate low-, medium-, and high-diversity treatments (from left to right).(C) Population-level resilience as a function of average realized species richness at low and high productivity. April 2006 1003DIVERSITY–STABILITY RELATIONSHIPS
  • 9. relationships are to be expected in nature and under what environmental contexts. Rigorous experimental studies of the impact of species diversity on stability are a relatively recent development that may begin to provide some resolution to this complex issue. Community-level resilience Our experiment provided evidence that species diver- sity can enhance the stability of aggregate community properties. Resilience of total community biomass increased as a function of increasing realized species richness in low-productivity treatments. However, di- versity was clearly a weak explanatory variable in our study, accounting for a relatively small percentage of variation in community-level resilience. Hence, species diversity does not consistently ensure system stability. Community-level resilience was driven by rapid response and dominance by a minority of species following perturbations; more resilient communities were those that exhibited decreases in evenness over time (Fig. 5). More importantly, in low-productivity treatments more diverse communities showed a greater tendency for evenness to decrease following perturbations. Thus, this mechanism may explain, in part, our positive diversity- resilience relationship. Because our mortality agent was non-selective in nature (removing a set percentage of all populations), differences among communities in even- ness responses were not due to differences in species’ abilities to resist initial perturbations. This point distinguishes our experiment from earlier diversity- perturbation studies (Mulder et al. 2001, Pfisterer and Schmid 2002, Allison 2004) in which the use of selective mortality agents potentially confounds population responses (and resilience) with differential resistance among species to the initial perturbation. Our results suggest fundamental differences among communities in the rate of species’ population responses; some com- munities contain species that respond quickly, dominat- ing biomass and lowering overall evenness. The tendency for more diverse communities to exhibit higher resilience and stronger decreases in evenness over time indicates that these communities had a greater probability of harboring species with rapid population responses. Past studies that have sought mechanistic insight into the positive effect of species diversity on ecosystem functioning have commonly focused on two broad classes of processes: complementarity effects and selection effects (Huston 1997, Tilman et al. 1997, Loreau and Hector 2001). The former occurs as a result of niche differentiation and resource partitioning among co-occurring species. The latter emerges when species that have strong effects on ecosystem functioning in monoculture occur in polycultures. Unfortunately, existing methods for mathematically partitioning com- plementarity and selection effects require measurement of the focal ecosystem response variable in both mono- and polycultures (Loreau and Hector 2001), an impos- sibility in a multitrophic design such as ours. Regardless, our study provided support for the selection effects model. Diversity effects on community-level resilience in our experiment did not appear to be a result of the ‘‘inherent’’ dynamic or structural properties of more diverse food webs per se. If such were the case, we would expect the majority of populations within diverse communities to rapidly rebound following perturba- tions. However, population-level resilience showed no relationship with diversity in our experiment. Rather, more diverse communities, by chance, included species that were able to exhibit rapid biomass responses following mass mortality events. Selection effects are expected to be especially strong when the number of species combinations among high diversity communities are high relative to the number of species available in the species pool. This was especially true in our experiment in which our pool of available algal species was quite small. In fact, Ankistrodesmus and Chlorella (the two algal species that strongly dominated following pertur- bations) were present either alone or together in all of our high diversity manipulations (Appendix B). While selection effects are a viable explanation for our positive diversity–community-resilience relationship, they may not be the only explanation for observed responses. Though high resilience was commonly associated with high relative biomass by Ankistrodesmus and Chlorella, presence of these species did not invariably translate into dominance by these algae or high community-level stability (Fig. 6). For example, Chlorella responses drove high resilience in composition 10 at low productivity (Fig. 3B); this high diversity treatment not only had high community-level resilience but the second strongest decrease in evenness over time. However, Chlorella was also present in low diversity, FIG. 8. The relationship between population-level resilience and mean per capita biomass in low-productivity treatments. The linear regression line is shown. CHRISTOPHER F. STEINER ET AL.1004 Ecology, Vol. 87, No. 4
  • 10. composition 3 (Fig. 3B; the black triangle below the regression line in Fig. 6); at low productivity, this treatment had extremely low resilience, low mean Chlorella relative biomass, and the strongest increase in evenness. This suggests that some aspect of compo- sition or diversity allowed strong Chlorella responses (and high resilience) in one treatment but not the other. Differential responses could be due to several factors. For instance, more diverse communities may have had a higher probability of including predators that more effectively controlled algivores, indirectly benefiting dominant species such as Chlorella or Ankistrodesmus. Additionally, we observed that decomposition rates within our experimental communities (as measured by percentage of decomposition of wheat seeds) increased with increasing realized species richness (J. A. Krumins, Z. T. Long, C. F. Steiner, and P. J. Morin, unpublished manuscript). Thus, enhanced nutrient regeneration could have further catalyzed algal responses in high diversity treatments. Such effects could be driven by complemen- tarity among species and would be confounded with perceived selection effects of Ankistrodesmus and Chlor- ella as these taxa more frequently occurred in our high diversity manipulations. Though we can only speculate on the operation of these mechanisms, they serve to highlight the complex direct and indirect effects that are inherent in multitrophic settings. One point of concern is that our measures of resilience relied on natural-log ratios calculated using time- averaged biomasses of the control treatments. This obviously ignores temporal variability of the control. However, two lines of evidence point to the robustness of our general conclusions. First, when calculating natural- log ratios by randomly pairing perturbed and control biomasses through time, resilience measures exhibited a positive trend with realized species diversity (P ¼ 0.07, ANCOVA; P . 0.20 for productivity and productivity3 diversity effects). Second, when ignoring controls and measuring the slope of the relationship between ln(per- turbed biomass) and time (i.e., the rate of biomass accrual in our perturbed communities), slopes were positively related to realized species diversity (P ¼ 0.05, ANCOVA; P . 0.20 for productivity and productivity3 diversity effects). Hence, recovery rates following per- turbations were higher in more speciose communities. Mean population-level resilience Unlike community-level resilience in which responses can be driven by any fraction of the resident community, our measure of population-level resilience was intended to capture the ability of all component populations (exclud- ing bacteria) to return to their individual preperturbation states. Of the many measures of stability, population-level resilience has received a great amount of theoretical attention. Although early theory suggested that diversity could reduce population-level stability (May 1973), many studies since have shown that this is not invariably true; complex communities can be highly resilient (e.g., Pimm 1982, Haydon 1994). Our results indicate that population- level resilience may show no consistent relationship, either positive or negative, with diversity. We found no strong effects of diversity or realized species richness on population-level stability. Instead, variation in this measure was dependent on species composition. At low productivity, population resilience was driven by mean size of individuals present in the community. Those communities that were, on average, composed of individ- uals with lower per capita biomass exhibited higher population-level resilience. It is possible that this effect was mediated by body size effects on population growth rates; body size is known to scale strongly and negatively with reproductive rate (Fenchel 1974). Moreover, smaller body size and rapid reproductive rates are commonly thought to enhance the resilience of populations (Pimm 1991). Deducing the causes of variable population-level resilience inhigh-productivity treatmentsis moredifficult. Nested ANOVA exposed significant variation among compositions, indicating that variation in population- level resilience was present among high-productivity communities. However, regressions revealed no signifi- cant effects of the potential explanatory variables that we measured, including mean per capita biomass. Since a range of factors may theoretically affect population-level resilience, comprehending our results may require much more detailed knowledge of community features such as connectance and species interaction strength. As with community-level resilience, our measures of population-level resilience were calculated using time- averaged population biomasses in controls, ignoring temporal variability in the control. When we calculated similarity indices by randomly pairing each species’ biomass in perturbed and control treatments, produc- tivity 3 composition effects on population-level resil- ience were weaker (P ¼ 0.13, nested ANOVA). This is not surprising as many populations were highly variable over time in control treatments. Thus, some caution regarding the strength of compositional effects on population-level resilience is warranted. Productivity effects Much like studies of diversity–stability relations, the impact of productivity on stability enjoyed early theoretical inquiry. However, this research focused primarily on the influence of enrichment on temporal stability of communities (Rosenzweig 1971, Gilpin 1972); theoretical explorations of the effect of produc- tivity on resilience are a more recent development (e.g., DeAngelis 1992, Moore et al. 1993, Stone et al. 1996). Some of these studies have found that productivity can enhance resilience (DeAngelis 1992, Moore et al. 1993). Yet, others suggest that productivity may have no consistent effect (Stone et al. 1996, Lundgren and Frodin 1998). Our results lend support to the latter assertion; we found no consistent effect of productivity on either population or community-level resilience. When averaging across diversity and composition levels, April 2006 1005DIVERSITY–STABILITY RELATIONSHIPS
  • 11. communities in high-productivity treatments were no more resilient than those in low-productivity treatments. Nonetheless, productivity may interact with diversity to determine community-level resilience; a significant rela- tionship with realized species richness was only detected in low-productivity treatments. However, this result must be viewed cautiously as the effect was weak (no interaction was detected in ANCOVA) and may have been due to the fact that realized species richness reached a lower minimum in low-productivity treat- ments. We also detected a significant interaction of productivity and species composition when analyzing population-level resilience. For some species composi- tions, productivity can enhance population resilience (e.g., compositions 5 and 6, Fig. 7B). However, when examining general trends, productivity clearly had weak effects across the majority of compositions. Lack of a consistent productivity effect on resilience does not negate the possibility of observing stronger effects under more strongly contrasting productivity conditions. Use of more widely varying productivity levels could have yielded different results in our study. Conclusion In the face of increasing threats to global biodiversity, ecologists confront the challenge of understanding and predicting how such changes will impact community and ecosystem properties. The ability of populations and communities to persist through time and withstand external perturbations is fundamental to this emerging issue. Fortunately, ecology is rich in theory regarding predicted patterns and drivers of resilience. Yet, empirical explorations have arguably lagged behind their theoretical counterparts. As declared by McNaugh- ton (1977) during the height of the diversity–stability debate, ‘‘continued assertions of the validity of one or another conclusion about diversity–stability, in the absence of empirical tests, are acts of faith, not science.’’ The recent rise in experimental studies of stability will hopefully begin to shed light on this important problem. Our study adds to the growing body of evidence showing that diversity can influence stability. Diversity can enhance a system’s ability to return from a perturbation by increasing the probability of including species that can respond quickly following mortality events. How- ever, this effect was only evident at the community-level and in low-productivity treatments. These findings are qualitatively similar to those in a companion study which uncovered contrasting effects of species diversity and composition on temporal stability (Steiner et al. 2005). Diversity effects only emerged when examining temporal stability at the community level while compo- sition effects outweighed diversity effects at the pop- ulation level (Steiner et al. 2005). Whether our conclusions extend beyond our simple model system is an important question that can only be answered by careful experimentation in the field. Our study was designed as a test of theory confined to a highly localized scale and limited species pool. In the majority of natural systems, larger species source pools will undoubtedly be available extending the array of species compositions and diversity levels that a local community may express. Moreover, species dispersal among localities will be possible; the role that such spatial dynamics play in ecosystem functioning and stability is potentially considerable, but little studied empirically (Loreau et al. 2003, Cardinale et al. 2004, Loreau and Holt 2004). Our study also explored species diversity effects by uniformly varying species numbers in all trophic groups. Yet, species loss is likely not random in natural systems with extinction risk being appor- tioned unequally among trophic levels or among taxa within trophic levels (Pimm et al. 1988, Petchey et al. 2004). In theory, the impact of ordered species loss on the functioning of ecosystems may differ from random species extinction (Ives and Cardinale 2004, Petchey et al. 2004, Solan et al. 2004), but empirical tests of how such processes affect the stability of populations and communities remain unexplored. These points highlight several potentially fruitful and vital areas of future research. Experimental studies of diversity–resilience relationships, especially within natural multitrophic settings, are still in their infancy. Until further corrob- orative evidence accumulates, our work may be cau- tiously viewed as a prelude of patterns to come. Our study shows that the value of diversity as a predictive measure or insurer of resilience may be highly context dependent, being a function of both productivity and the level of biological organization at which stability is measured. ACKNOWLEDGMENTS We thank Carla Ca´ ceres, Amy Downing, Spencer Hall, and Cindy Hartway for thoughtful discussions; Jay Kelly for pond access (and brunch); and Kirsten Schwarz for lab assistance. Four anonymous reviewers provided valuable comments on this manuscript. This research was supported by a NSF Microbial Biology Postdoctoral Fellowship to C. F. Steiner. LITERATURE CITED Allison, G. 2004. The influence of species diversity and stress intensity on community resistance and resilience. Ecological Monographs 74:117–134. Cardinale, B. J., A. R. Ives, and P. Inchausti. 2004. Effects of species diversity on the primary productivity of ecosystems: extending our spatial and temporal scales of inference. Oikos 104:437–450. Cottingham, K. L., S. 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Ecosystem resilience, stability, and productivity: seeking a relationship. American Naturalist 148:892–903. Tilman D. 1999. The ecological consequences of changes in biodiversity: a search for general principles. Ecology 80: 1455–1474. Tilman, D., C. L. Lehman, and K. T. Thomson. 1997. Plant diversity and ecosystem productivity: theoretical consider- ations. Proceedings of the National Academy of Sciences (USA) 94:1857–1861. Wetzel, R. G. 2001. Limnology: lake and river ecosystems. Third edition. Academic Press, New York, New York, USA. Xu, C., and Z. Li. 2002. Stochastic ecosystem resilience and productivity: seeking a relationship. Ecological Modeling 156:143–152. APPENDIX A A list of species used in the experiment and culture sources (Ecological Archives E087-057-A1). APPENDIX B A table containing species combinations of all composition treatments (Ecological Archives E087-057-A2). April 2006 1007DIVERSITY–STABILITY RELATIONSHIPS