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Ecology, 92(1), 2011, pp. 160–169 Ó 2011 by the Ecological Society of America Incubation time, functional litter diversity, and habitat characteristics predict litter-mixing effects on decomposition ANTOINE LECERF, 1,5 GUILLAUME MARIE, 1 JOHN S. KOMINOSKI, 2,6 CARRI J. LEROY, 3 CAROLINE BERNADET, 1 AND CHRISTOPHER M. SWAN 4 1 Universite ´ de Toulouse, UPS, INP, CNRS, EcoLab (Laboratoire d’E ´ cologie Fonctionnelle), 29 Rue Jeanne Marvig, F-31055 Toulouse, France 2 Department of Forest Sciences, University of British Columbia, Vancouver, British Columbia V6T 1Z4 Canada 3 Environmental Studies Program, Evergreen State College, Olympia, Washington 98505 USA 4 Department of Geography and Environmental Systems, University of Maryland, Baltimore County, Baltimore, Maryland 21250 USA Abstract. Plant diversity influences many fundamental ecosystem functions, including carbon and nutrient dynamics, during litter breakdown. Mixing different litter species causes litter mixtures to lose mass at different rates than expected from component species incubated in isolation. Such nonadditive litter-mixing effects on breakdown processes often occur idiosyncratically because their direction and magnitude change with incubation time, litter species composition, and ecosystem characteristics. Taking advantage of results from 18 litter mixture experiments in streams, we examined whether the direction and magnitude of nonadditive mixing effects are randomly determined. Across 171 tested litter mixtures and 510 incubation time-by-mixture combinations, nonadditive effects on breakdown were common and on average resulted in slightly faster decomposition than expected. In addition, we found that the magnitude of nonadditive effects and the relative balance of positive and negative responses in mixtures change predictably over time, and both were related to an index of functional litter diversity and selected environmental characteristics. Based on these, it should be expected that nonadditive effects are stronger for litter mixtures made of functionally dissimilar species especially in smaller streams. Our findings demonstrate that effects of litter diversity on plant mixture breakdown are more predictable than generally thought. We further argue that the consequences of current worldwide homogenization in the composition of plant traits on carbon and nutrient dynamics could be better inferred from long-duration experiments that manipulate both functional litter diversity and ecosystem characteristics in ‘‘hotspots of biodiversity effects,’’ such as small streams. Key words: biodiversity; diversity; ecosystem functioning; functional regularity; leaf litter; litter breakdown; riparian forest. INTRODUCTION Increasing human-induced threats to biodiversity have prompted extensive research linking biodiversity to ecosystem functioning. There is now compelling evidence of the reliance of several key ecosystem functions on the diversity of plants, microorganisms, and/or animals across ecosystem types (e.g., Heemsber- gen et al. 2004, Swan and Palmer 2004, Lecerf et al. 2005, Balvanera et al. 2006, Cardinale et al. 2007, Meier and Bowman 2008, Srivastava et al. 2009). Recent syntheses of these data shed light on some general patterns, as well as fundamental differences, in richness– function relationships across ecosystem functions, tro- phic levels, and ecosystem types (Balvanera et al. 2006, Cardinale et al. 2006, Schmid et al. 2009, Srivastava et al. 2009). Cardinale et al. (2006) found that aquatic and terrestrial ecosystems could be equally sensitive to loss of species richness at a single trophic level. Moreover, not all ecosystem properties are influenced predictably by species richness. Plant diversity has been shown to consistently increase community-aggregated plant bio- mass, often through niche complementarity effects (Cardinale et al. 2007). By contrast, no such general relationship exists between litter species richness and the rate of plant-litter decomposition, as both positive and negative effects result in an overall neutral trend (Srivastava et al. 2009). The relative unpredictability of litter diversity effects on breakdown of litter mixtures may be due to differences in environmental conditions, experimental design (e.g., inclusion of macro-consumers, experimental duration), and choice of litter species (Swan and Palmer 2004, Scha¨dler and Brandl 2005, LeRoy and Marks 2006, Lecerf et al. 2007, Madritch and Cardinale 2007, Jonsson and Wardle 2008, Srivas- tava et al. 2009, Rosemond et al. 2010). Furthermore, there is no reason to expect a strong directional effect of Manuscript received 12 February 2010; revised 8 June 2010; accepted 16 June 2010. Corresponding Editor: W. V. Sobczak. 5 E-mail: [email protected] 6 Present address: Odum School of Ecology, University of Georgia, Athens, Georgia 30602 USA. 160

Incubation time, functional litter diversity, and habitat characteristics predict litter-mixing effects on decomposition

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  • Ecology, 92(1), 2011, pp. 160169 2011 by the Ecological Society of America

    Incubation time, functional litter diversity, and habitat characteristicspredict litter-mixing effects on decomposition

    ANTOINE LECERF,1,5 GUILLAUME MARIE,1 JOHN S. KOMINOSKI,2,6 CARRI J. LEROY,3 CAROLINE BERNADET,1

    AND CHRISTOPHER M. SWAN4

    1Universite de Toulouse, UPS, INP, CNRS, EcoLab (Laboratoire dEcologie Fonctionnelle),29 Rue Jeanne Marvig, F-31055 Toulouse, France

    2Department of Forest Sciences, University of British Columbia, Vancouver, British Columbia V6T1Z4 Canada3Environmental Studies Program, Evergreen State College, Olympia, Washington 98505 USA

    4Department of Geography and Environmental Systems, University of Maryland, Baltimore County, Baltimore, Maryland 21250 USA

    Abstract. Plant diversity inuences many fundamental ecosystem functions, includingcarbon and nutrient dynamics, during litter breakdown. Mixing different litter species causeslitter mixtures to lose mass at different rates than expected from component species incubatedin isolation. Such nonadditive litter-mixing effects on breakdown processes often occuridiosyncratically because their direction and magnitude change with incubation time, litterspecies composition, and ecosystem characteristics. Taking advantage of results from 18 littermixture experiments in streams, we examined whether the direction and magnitude ofnonadditive mixing effects are randomly determined. Across 171 tested litter mixtures and 510incubation time-by-mixture combinations, nonadditive effects on breakdown were commonand on average resulted in slightly faster decomposition than expected. In addition, we foundthat the magnitude of nonadditive effects and the relative balance of positive and negativeresponses in mixtures change predictably over time, and both were related to an index offunctional litter diversity and selected environmental characteristics. Based on these, it shouldbe expected that nonadditive effects are stronger for litter mixtures made of functionallydissimilar species especially in smaller streams. Our ndings demonstrate that effects of litterdiversity on plant mixture breakdown are more predictable than generally thought. We furtherargue that the consequences of current worldwide homogenization in the composition of planttraits on carbon and nutrient dynamics could be better inferred from long-durationexperiments that manipulate both functional litter diversity and ecosystem characteristics inhotspots of biodiversity effects, such as small streams.

    Key words: biodiversity; diversity; ecosystem functioning; functional regularity; leaf litter; litterbreakdown; riparian forest.

    INTRODUCTION

    Increasing human-induced threats to biodiversity

    have prompted extensive research linking biodiversity

    to ecosystem functioning. There is now compelling

    evidence of the reliance of several key ecosystem

    functions on the diversity of plants, microorganisms,

    and/or animals across ecosystem types (e.g., Heemsber-

    gen et al. 2004, Swan and Palmer 2004, Lecerf et al.

    2005, Balvanera et al. 2006, Cardinale et al. 2007, Meier

    and Bowman 2008, Srivastava et al. 2009). Recent

    syntheses of these data shed light on some general

    patterns, as well as fundamental differences, in richness

    function relationships across ecosystem functions, tro-

    phic levels, and ecosystem types (Balvanera et al. 2006,

    Cardinale et al. 2006, Schmid et al. 2009, Srivastava et

    al. 2009). Cardinale et al. (2006) found that aquatic and

    terrestrial ecosystems could be equally sensitive to loss

    of species richness at a single trophic level. Moreover,

    not all ecosystem properties are inuenced predictably

    by species richness. Plant diversity has been shown to

    consistently increase community-aggregated plant bio-

    mass, often through niche complementarity effects

    (Cardinale et al. 2007). By contrast, no such general

    relationship exists between litter species richness and the

    rate of plant-litter decomposition, as both positive and

    negative effects result in an overall neutral trend

    (Srivastava et al. 2009). The relative unpredictability of

    litter diversity effects on breakdown of litter mixtures

    may be due to differences in environmental conditions,

    experimental design (e.g., inclusion of macro-consumers,

    experimental duration), and choice of litter species

    (Swan and Palmer 2004, Schadler and Brandl 2005,

    LeRoy and Marks 2006, Lecerf et al. 2007, Madritch

    and Cardinale 2007, Jonsson and Wardle 2008, Srivas-

    tava et al. 2009, Rosemond et al. 2010). Furthermore,

    there is no reason to expect a strong directional effect of

    Manuscript received 12 February 2010; revised 8 June 2010;accepted 16 June 2010. Corresponding Editor: W. V. Sobczak.

    5 E-mail: [email protected] Present address: Odum School of Ecology, University of

    Georgia, Athens, Georgia 30602 USA.

    160

  • litter species richness on litter mixture breakdown

    because the number of litter species has been proven

    to be much less important than taxonomic composition

    of litter mixtures in controlling litter breakdown rates

    (Wardle et al. 1997, Schadler and Brandl 2005, Lecerf et

    al. 2007, Schindler and Gessner 2009, Swan et al. 2009).

    The difculty in elucidating effects of plant assem-

    blages on breakdown is attributed to litter mixing effects

    resulting in accelerated or decelerated mass loss of litter

    mixtures relative to expected rates based on component

    species in isolation (Wardle et al. 1997, Gartner and

    Cardon 2004, Hattenschwiler et al. 2005). A meta-

    analysis of 23 terrestrial studies and 162 litter mixtures

    showed that such nonadditive effects were common for

    litter mixtures (approximately two-thirds of tested litter

    mixtures), sometimes causing deviations from expected

    mass loss as high as 65% (Gartner and Cardon 2004).Synergistic effects (acceleration) on loss rates were also

    found to prevail over antagonistic (deceleration) effects

    (47% vs. 19% of tested litter mixtures; Gartner andCardon 2004). Nonadditive mixing effects are likely a

    consequence of complex interactions between litter

    species mediated by abiotic factors and litter consumers.

    There are three classes of nonexclusive mechanisms,

    which can be disentangled by examining responses of

    individual species within litter mixtures (Hattenschwiler

    et al. 2005, Gessner et al. 2010). (1) Essential constitu-

    ents (i.e., nutrients) or phenolic compounds released

    from litter species rich in these elements can diffuse

    within litter mixtures, resulting in synergistic or antag-

    onistic effects on litter mixture mass loss, respectively

    (Hattenschwiler et al. 2005). In addition, litter exploi-

    tation by consumers and ultimately litter mass loss may

    be faster for diverse mixtures of litters containing

    variable relative abundances of key elements (e.g., C,

    N, P) because such chemically diverse resources would

    increase the opportunity of meeting consumer stoichio-

    metric needs (Frost et al. 2005). (2) The physical

    structure of litter patches can be altered by mixing

    litters of contrasting toughness. This may promote

    consumer-mediated decomposition as a result of in-

    creased habitat complexity and stability (Hattenschwiler

    et al. 2005, Kominoski et al. 2009, Sanpera Calbet et al.

    2009) and may result in reduced abiotic breakdown of

    the softest species in streams (Swan et al. 2008). (3)

    Preferential feeding by invertebrate detritivores may

    accelerate or decelerate the loss rate of high-quality

    litters or low-quality litters, respectively (Swan and

    Palmer 2006b). However, the mechanism of food

    selection reported from microcosm experiments may be

    modulated in natural systems by biotic interactions; for

    instance, competition and predation might force detri-

    tivores to feed on less-preferred litters (Bastian et al.

    2008).

    The functional trait approach represents a promising

    framework to explain patterns of nonadditive litter-

    mixing effects across species mixtures (Epps et al. 2007,

    Meier and Bowman 2008). Following recent ndings on

    effects of litter chemical diversity on soil carbon and

    nitrogen dynamics (Meier and Bowman 2008) and

    current mechanistic understanding of litter mixture

    decomposition (Hattenschwiler et al. 2005), it is

    expected that nonadditive litter-mixing effects will be

    stronger in litter mixtures consisting of species with

    dissimilar physical and chemical traits than in litter

    mixtures made of functionally equivalent species

    (Schindler and Gessner 2009). To date, this hypothesis

    has received little support in few experimental studies

    examining the inuence of mixture heterogeneity on

    litter breakdown (Wardle et al. 1997, Hoorens et al.

    2003, Smith and Bradford 2003, Schindler and Gessner

    2009). Because these past studies used a single index of

    functional diversity each time, their results should be

    interpreted with caution in light of methodological

    variation in functional diversity assessment (Petchey et

    al. 2004, 2009, Mason et al. 2005, Villegier et al. 2008,

    Poos et al. 2009). There is growing recognition that the

    choice of functional diversity metric could be as critical

    as the choice of species trait to detect functional litter

    diversity effects (Petchey et al. 2004, Mason et al. 2005,

    Villegier et al. 2008, Poos et al. 2009). Given the lack of

    a consensus on how functional diversity should be

    measured, the best guarantee against overlooking

    ecologically relevant effects of functional diversity is to

    incorporate several independent metrics (Mason et al.

    2005, Villegier et al. 2008, Petchey et al. 2009).

    Here we synthesize information available on litter

    breakdown of assembled litter mixtures incubated in

    streams (see Plate 1). Litter breakdown refers to litter

    disappearance from mesh bags due to (catabolic)

    decomposition processes and both biotic and abiotic

    fragmentation (Gessner et al. 1999). Stream ecosystems

    strongly rely on carbon and nutrients released by

    decaying terrestrial plant litter (Gessner et al. 1999,

    Wallace et al. 1999). Although litter disappears generally

    faster in aquatic ecosystems, the underlying biotic

    mechanisms in streams are not fundamentally different

    from those operating in soils (Wagener et al. 1998,

    Gessner et al. 2010). Contribution of stream studies to

    research on litter diversitybreakdown relationships has

    been substantial (e.g., Kominoski et al. 2007, Lecerf et

    al. 2007, Schindler and Gessner 2009, Swan et al. 2009,

    Rosemond et al. 2010). For this synthesis, we took

    advantage of the opportunity to gather a wide array of

    raw data, including time series. Unlike a recent meta-

    analysis (Srivastava et al. 2009), which examined effects

    of consumer and litter species richness on decomposi-

    tion, our database includes individual lines of data for

    each species assemblage, enabling us to calculate

    functional litter diversity indices for each mixture and

    independently assess effects of incubation time on

    nonadditive effects.

    We estimated the magnitude and direction of nonad-

    ditive litter-mixing effects on breakdown and the sources

    of variation both within and across experiments. We

    specically tested the following hypotheses: (1) nonad-

    January 2011 161CONTROLS ON LITTER-MIXING EFFECTS

  • ditive effects occur frequently in stream experiments; (2)

    the direction (synergistic vs. antagonistic) and magni-tude of nonadditive effects change with incubation time

    and functional litter diversity within experiments; and(3) differences between experiments are explained by

    ecosystem characteristics.

    METHODS

    Data collection

    We identied a total of 18 experiments reported in 11published or unpublished studies assessing the break-

    down of 171 assembled mixtures of leaf litter enclosed inmesh bags and incubated in streams (Appendix A). All

    but two experiments had mixtures of leaf species; the twoexceptions focused on litter genotypes, which we

    included here under the umbrella term species forthe sake of consistency. An experiment consisted of a

    trial including 1 to 30 mixtures assembled from a pool of3 to 20 litter species, enclosed in mesh bags, and

    incubated in a single stream site during a speciedseason. Litter mixtures differed within experiments in

    terms of composition and, sometimes, relative initialmass of the component species (evenness). Breakdown oflitter mixtures was measured from 18 sampling dates,

    and varied by experiment. The data set included 510 linesof data corresponding to the number of incubation time-

    by-mixture combinations (Appendix A).

    Response variables

    Observed (O) and expected (E) mass remaining of

    litter mixtures was expressed as a fraction of initial littermass. Expected mass remaining was dened as the mean

    mass remaining of the component litter species decom-posing in isolation weighted by their relative initial mass

    in the mixture (Gartner and Cardon 2004, Lecerf et al.2007). The difference between O and E indicates

    deviation from additivity. As in Wardle et al. (1997),we calculated a signed (O E) and an unsigneddeviation (jO Ej0.33 with the 0.33 exponent used toachieve normal distribution of data) to assess the

    direction and magnitude of nonadditive mixing effectson breakdown, respectively. Negative deviations indi-cate synergistic responses (acceleration of litter break-

    down), and positive deviations indicate antagonisticresponses (deceleration of litter breakdown) of litter

    mixtures.

    Functional litter diversity (FLD)

    Following Mason et al. (2005) and Villegier et al.

    (2008) we calculated three complementary functionaldiversity indices: functional richness, functional regular-

    ity, and functional divergence of litter mixtures (Appen-dix B). Briey, functional richness is the standardized

    range of trait values for species mixtures. It takes themaximal value of 1 for litter mixtures comprising the

    species with the lowest and highest trait valuesregardless of the number of species. Functional regular-

    ity is a measure of deviation from a null model of

    uniform distribution of continuous traits in mixtures

    with no less than three litter species (Mouillot et al.

    2005). This index, which cannot be calculated for two-

    species mixtures, has a maximal value of 1 when species

    are equally spaced along the trait axis and have equal

    initial mass. Lower values can be due to unequal

    distances between species along the trait axis and/or

    variable relative mass by species (Mouillot et al. 2005).

    Functional divergence is calculated as the abundance-

    weighted variance of trait values across the component

    species followed by an arctangent transformation

    constraining the variation with a 01 range (Mason et

    al. 2005). High values are indicative of wide dispersion

    of trait values around the mean.

    The three functional diversity indices were calculated

    from a single trait, specic litter degradability, which

    was easily accessible from all the reported experiments.

    Specic litter degradability combines important infor-

    mation on litter persistence, toughness, and nutritional

    value (Cadisch and Giller 1997, Cornwell et al. 2008).

    Within-experiment specic litter degradability varied on

    average over a 10.5-fold range. Because functional

    richness, regularity, and divergence were not indepen-

    dent of each other, we condensed information contained

    in these variables into two composite, orthogonal

    functional litter diversity indices (FLD1 and FLD2)

    using principal component analysis (PCA). This analysis

    was performed using a nonlinear iterative partial least

    squares (NIPALS) algorithm, an interpolation process

    which replaced nonexisting values of the functional

    regularity index for two-species mixtures. PCA loadings

    indicated that FLD1 increased with both functional

    richness and divergence whereas FLD2 was independent

    of these indices and increased with functional regularity

    (Appendix B). Thus, the two synthetic indices were able

    to discriminate between homogeneous (low FLD1 and

    FLD2 values) and heterogeneous (high FLD1 and

    FLD2 values) mixtures.

    Ecosystem characteristics and experimental designs

    We recorded abiotic ecosystem characteristics for

    each experiment, including information on the geo-

    graphic location (longitude, latitude, and elevation),

    stream size (Strahler order), and mean water tempera-

    ture. As our database did not cover full ranges of

    latitude and longitude, we proceeded to run a compar-

    ison between high (.208 N) and low (208 S208 N)latitudes, and between continents (Europe vs. [North South America]).

    Data analysis

    Mixed-effects linear models and model selection

    procedures were used to assess the sources of variation

    of signed and unsigned deviations from additivity

    between and within experiments (Zuur et al. 2009).

    Experiment was dened as a random term and

    explanatory variables as xed terms. Quadratic terms

    were used as necessary to model the U-shaped relation-

    ANTOINE LECERF ET AL.162 Ecology, Vol. 92, No. 1

  • ship with time (Appendix C). A general form of the

    model used was:

    Yij l aij bi ai eij; ai ;N 0; r2a; eij ;N 0; r2i where Yij is the value of signed or unsigned deviation

    from additivity of the observation j from the experiment

    i, l is a xed intercept, aij is a matrix of within-experiment variables (FLD1 FLD2 incubationtime), bi is a matrix of between-experiment variables, aiis a random intercept for the experiment i, and eij is theresidual error. Here, we assumed that the error term has

    different variances (r2i ) for each experiment (Pinherosand Bates 2000).

    For each signed and unsigned deviation, an optimal

    model was tted using a top-down approach (Zuur et al.

    2009). We rst constructed beyond-optimal models,

    using a restricted set of uncorrelated explanatory

    variables (Appendix C). A second step involved

    sequential backward deletion of nonsignicant and least

    important xed effects according to F tests using type III

    sum of squares. The signicance threshold was set at P0.05. Akaikes Information Criterion calculated with the

    maximum likelihood method (ML-AIC) was recorded

    at each step to check for goodness of t (Zuur et al.

    2009). The optimal model was the model with the lowest

    ML-AIC value, which included only signicant xed

    effects. Mixed-effects models were performed in R with

    the nlme library (Pinheros and Bates 2000). The

    stepAIC procedure in the MASS package in R was

    used for backward deletions (Venables and Ripley

    2002).

    RESULTS

    General trends in nonadditive mixing effects

    The bivariate relationship between observed and

    expected litter mass remaining revealed frequent detect-

    able deviations of individual litter mixtures from the 1:1

    line, thus providing evidence of nonadditive breakdown

    (Fig. 1A). Only 17.4% of litter mixtures decomposed

    additively (i.e., observed and expected litter mass

    remaining differed by ,0.01). The other litter mixturesdecomposed either faster (43.9%) than expected as a

    result of synergistic responses (points below the 1:1 line

    on Fig. 1A) or slower (38.7%) than expected as a result

    of antagonistic responses (points above the 1:1 line on

    Fig. 1A). The magnitude of the deviations from

    additivity was as high as 0.48 for synergistic mixing

    effects and 0.30 for antagonistic mixing effects (Fig. 1A).

    The grand mean of the signed deviations from

    additivity was signicantly lower than 0, indicating a

    general trend of accelerated breakdown in litter mixtures

    across the data set (Fig. 1B). Moreover, considerable

    differences existed among experiments. Mean values of

    the signed deviation for eight of 18 experiments were

    signicantly different from 0 as a result of the prevalence

    of antagonistic mixing effects in four experiments (O E

    . 0) or synergistic mixing effects (O E , 0) in fourothers. No such directional nonadditive effects were

    found in the other 10 experiments where the condence

    intervals crossed 0 (Fig. 1B).

    FIG. 1. (A) Observed vs. expected litter mass remaining ofthe 510 individual mixtures of litter species incubated instreams. The 1:1 axis (solid line) represents additivity. (B)Signed deviation (mean with 95% CI) from additivity (observedminus expected litter mass remaining) by experiment (graydots) and across all experiments (black dot). Negativedeviations from additivity indicate synergistic responses (accel-eration of litter breakdown), and positive deviations indicateantagonistic responses (deceleration of litter breakdown) oflitter mixtures. Experiment identication codes are displayedalong the vertical axis (see Appendix A).

    January 2011 163CONTROLS ON LITTER-MIXING EFFECTS

  • Predicting nonadditive mixing effects

    Within-experiment variation in nonadditive effects on

    litter mixture breakdown was accounted for by incuba-

    tion time and functional litter diversity. Optimal models

    for signed and unsigned deviations from additivity

    included both incubation time (1190 days; median: 35

    days) and an index of functional litter diversity (FLD2)

    as signicant predictors (Table 1). Incubation time was

    negatively related to signed deviation and positively

    related to unsigned deviation (Fig. 2A, B). This was due

    to an increase in frequency of synergistic effects (45.8%of the mixtures below and 60.4% above the median valueof incubation time; Fig. 2A) and in the magnitude of

    nonadditive mixing effects with incubation time (Fig.

    2B). FLD2 was used as a surrogate of functional

    regularity of litter species mixtures and was independent

    of functional richness and divergence (FLD1) (Appen-

    dix B). The positive relationship between FLD2 and

    signed deviation was due to a shift in the balance of

    synergistic and antagonistic mixing effects (Fig. 1C).

    Synergistic effects were more frequent below the median

    FLD2 value (56.2% of the mixtures), whereas there wasan almost exact balance of synergistic (50.9%) andantagonistic (49.1%) effects above the median FLD2value. Importantly, we found that, irrespective of their

    direction, the magnitude of nonadditive mixing effects

    increased linearly with FLD2 (Fig. 2D).

    Optimal mixed models reveal that two environmental

    factors were likely important in accounting for cross-

    experiment variability of nonadditive mixing effects

    (Table 1). A U-shaped relationship between signed

    deviation and mean water temperature highlighted a

    nontrivial effect of temperature across a wide gradient

    (2228C: Fig. 2E). The lowest and highest temperatureswere associated with nonadditive antagonistic effects or

    additive breakdown, whereas intermediate temperatures

    (6108C) were most associated with synergisticresponses of litter mixtures (Fig. 2E). For instance, the

    four experiments where synergistic mixing effects

    prevailed were all conducted in streams with intermedi-

    ate mean temperatures (7.88.98C) whereas the fourexperiments where antagonistic mixing effects prevailed

    were conducted in colder (4.58C) or warmer (16.922.08C) streams (see also Fig. 1B). Additionally,unsigned deviation was negatively related to stream size

    (Table 1), indicating that the largest effect of litter

    mixing occurred in the smallest streams studied (Fig.

    2F).

    Robustness of results

    The striking similarity of maximum likelihood (ML)

    and restricted maximum likelihood (REML) estimates

    (Table 1) suggested no computational issues for mixed-

    effects models. One problem in interpretation of the

    TABLE 1. Assessing the source of variation of signed and unsigned deviations by mixed-effects models and model selection.

    Model description ML-AIC df F P

    Estimates

    ML REML

    Signed deviation

    Beyond-optimal model

    Intercept incubation time FLD1 FLD2 temperature temperature2

    1343.1

    FLD1 1344.9 Temperature 1346.5

    Optimal model

    Intercept 1, 490 11.4 0.0008 0.0215 0.0217Incubation time 1, 490 14.6 0.0001 0.00025 0.00025FLD2 1, 490 8.0 0.0049 0.00564 0.00564Temperature2 1, 16 14.0 0.0018 0.00042 0.00043

    Unsigned deviation

    Beyond-optimal model

    Intercept incubation time FLD1 FLD2 stream size

    765.4

    FLD1 766.4Optimal model

    Intercept 1, 490 1266 ,0.0001 0.3359 0.3363Incubation time 1, 490 43.6 ,0.0001 0.00075 0.00076FLD2 1, 490 9.9 0.0017 0.01402 0.01351Stream size 1, 16 6.5 0.0224 0.02710 0.02760

    Notes: Beginning with a beyond-optimal model presented in Table C2 (Appendix C), we removed the least important xedfactors sequentially ( FLD1, Temperature). We calculated the Akaike Information Criterion using maximum likelihoodmethods (ML-AIC) at each step. We stopped removing xed factors when the lowest ML-AIC was reached, corresponding tooptimal models. Signicance of xed factors in the optimal model was tested using an F test based on type III sum of squares. Afterrecording ML estimates, optimal models were retted using the restricted maximum likelihood (REML) approach for validation.Note that estimates are given for centered variables.

    ANTOINE LECERF ET AL.164 Ecology, Vol. 92, No. 1

  • inuence of the FLD2 index on nonadditive effects

    could have stemmed from interpolation of missing

    functional regularity values for two species mixtures.

    To assess if FLD2 estimates would change after the

    removal of interpolated values, we tted new mixed

    models on a subset of data without the two species

    mixtures (n 343). Signed deviation from additivityremained positively related to FLD2 (estimate 0.0048) even though this effect was only marginallysignicant (F1, 325 2.9, P 0.0844). Unsigned deviationremained positively related to FLD2 (estimate 0.0132) and was still a signicant predictor (F1, 325 4.2, P 0.0413). These analyses conrm that FLD2 hadan inuence on the magnitude of nonadditive mixing

    effects.

    Last, we found support for our hypothesis that cross-

    experiment variation of nonadditive effects was not

    driven by experimental design. Correlation analyses did

    not reveal signicant association between potentially

    important design factors (mesh size of litter bags,

    experimental duration, and maximal functional litter

    diversity as determined by FLD1 and FLD2) and the

    ecosystem characteristics included in the optimal model

    of signed (water temperature) and unsigned (stream size)

    deviations. For instance, no correlation was found

    between mesh size of litter bags (ne [2 mm] vs. coarse[.5 mm]) and water temperature (r 0.02) or streamsize (r 0.09). The strongest correlation (r , 0.41),which was found between stream size and maximum

    FLD2, remained nonsignicant (P 0.088).DISCUSSION

    Our synthesis of 18 experiments conducted in

    American (North and South) and European streams

    examining the breakdown rate of 171 assembled

    mixtures of leaf litter revealed that breakdown of litter

    mixtures was often not equal to the weighted average of

    mass loss values for the component species breaking

    down in isolation. We also found that synergistic effects

    were more frequent than antagonistic effects. The same

    trends were reported from a previous meta-analysis of

    terrestrial studies (Gartner and Cardon 2004), hinting at

    a general pattern across ecosystem types (Cardinale et

    al. 2006, Srivastava et al. 2009). The mechanisms

    responsible for nonadditive litter-mixing effects on

    breakdown may, however, differ between aquatic and

    terrestrial ecosystems although this assumption is based

    on indirect evidence rather than experimental support

    FIG. 2. Signed and unsigned deviation between observed (O) and expected (E) litter mass remaining as a function ofexplanatory xed variables in optimal mixed-effects models (see Table 1). Variables include the number of days litter mixtures wereincubated in streams, an index of functional litter diversity (FLD2), stream temperature, and stream size. Stream size increases fromleft to right as Strahler order increases. Regression lines and curves are drawn from back-transformed (decentered) restrictedmaximum likelihood (REML) estimates.

    January 2011 165CONTROLS ON LITTER-MIXING EFFECTS

  • (Gessner et al. 2010). It is worth noting that frequent

    synergistic mixing effects on litter breakdown are

    compatible with the lack of a general relationship

    between litter species richness and decomposition

    reported by Srivastava et al. (2009). Such a disconnect

    between net and gross effects of litter diversity could be

    driven by idiosyncratic variation in nonadditive mixing

    effects over litter species richness and by an overriding

    control of litter trait composition (additive effects) on

    mixture mass loss rates (Wardle et al. 1997, Schadler

    and Brandl 2005, Lecerf et al. 2007, Schindler and

    Gessner 2009).

    This study showed that incubation time is an

    important design consideration if the goal is to capture

    the full range of litter diversity effects on breakdown.

    Srivastava et al. (2009) also reported a trend for larger

    effects of litter species richness on decomposition in

    long-duration experiments across aquatic and terrestrial

    studies. These ndings are consistent with outcomes of a

    recent synthesis of diversityproductivity experiments

    showing that productivity increases with time due to

    strengthened complementarity effects (Cardinale et al.

    2007). The latter explanation may hold true for litter

    processing, which involves a successional change in

    dominant litter consumers (fungidetritivoresbacteria)

    that work synergistically at breaking down leaf litter

    (Gessner et al. 1999, Hattenschwiler et al. 2005, Lecerf et

    al. 2005, Gessner et al. 2010). In addition, it is possible

    that early dominant colonizers, such as fungi, do not

    cause substantial deviation from additive breakdown

    (Schadler and Brandl 2005, Swan and Palmer 2006a,

    Sanpera Calbet et al. 2009, Schindler and Gessner 2009).

    By contrast, large detritivores, which usually colonize

    litter patches following microbes, are more likely to

    generate powerful nonadditive mixing responses in litter

    breakdown as reported from invertebrate addition

    experiments (Hattenschwiler and Gasser 2005, Swan

    and Palmer 2006a, b). Niche complementarity effects

    and detritivore colonization may thus explain, in part,

    why the magnitude of nonadditive mixing effects

    increased with incubation time.

    Our results conrm the notion that interspecic

    functional dissimilarity could explain net (i.e., nonaddi-

    tive) biodiversity effects on ecosystem functioning

    (Heemsbergen et al. 2004, Meier and Bowman 2008).

    Meier and Bowman (2008) found that after controlling

    for litter chemical composition, soil respiration tended

    to be higher when chemically distinct litter species were

    assembled. Our results may corroborate this inuence of

    litter chemical diversity on organic matter decomposi-

    tion, assuming that specic litter degradability is a

    correlate of the concentrations of key litter chemical

    constituents (Cadisch and Giller 1997, Cornwell et al.

    2008). Moreover, mixing litter species of contrasting

    degradability may improve microhabitat structure and

    persistence through time, which could in turn modify

    consumerresource interactions in ways that cause

    strong nonadditive mixing effects (Kominoski et al.

    2009, Sanpera Calbet et al. 2009). These contrasting

    hypotheses emphasize the need for an integrated

    mechanistic understanding of how functional litter

    diversity inuences decomposition and consumer diver-

    sity, which requires disentangling the relative contribu-

    tion of various structural and chemical traits of litter as

    well as consumer traits to functional litter diversity

    effects on decomposition.

    Our study sheds light on a general relationship

    between functional litter diversity and the magnitude

    of nonadditive litter-mixing effects on breakdown. The

    few studies that have specically assessed the inuence

    of functional litter dissimilarity in streams and soils have

    produced equivocal results (Wardle et al. 1997, Hoorens

    et al. 2003, Smith and Bradford 2003, Schindler and

    Gessner 2009). However, these studies did not use more

    thorough indices to test functional litter diversity. This is

    an important consideration, as study outcomes can be

    greatly inuenced by the choice of functional diversity

    metric (Petchey et al. 2004, Poos et al. 2009). Here, we

    demonstrate that acknowledging the multifaceted nature

    of functional diversity could protect against overlooking

    their ecologically relevant effects (Mason et al. 2005,

    Villegier et al. 2008). We found that only one (FLD2) of

    the two tested independent indices detected functional

    litter diversity effects. FLD2 was used as a surrogate of

    functional regularity, an overlooked facet of functional

    diversity (Mouillot et al. 2005). The functional regular-

    ity index is by denition heavily penalized by species

    trait overlaps (Mouillot et al. 2005), whereas the

    complementary facets of functional diversity (functional

    richness and divergence), which have been used to

    measure functional litter diversity (Wardle et al. 1997,

    Hoorens et al. 2003), are likely to overestimate true

    functional diversity when functionally equivalent species

    are present (Mason et al. 2005, Villegier et al. 2008).

    Our synthesis reveals that, if nonadditive mixing

    effects occurred in experiments frequently, predicting

    their direction and magnitude must consider the

    environmental context. Although several previous stud-

    ies have reported considerable variability in nonadditive

    mixing effects across experiments, trials, and/or sites,

    regardless of ecosystem type, most of these studies fell

    short in elucidating the underlying determinants (Swan

    and Palmer 2004, LeRoy and Marks 2006, Lecerf et al.

    2007, Madritch and Cardinale 2007). The relationship

    between stream temperature and signed deviation

    indicates seasonal shift of the direction and magnitude

    of nonadditive breakdown in temperate streams, at

    least. This was rst evidenced by Swan and Palmer

    (2004) who found additive breakdown in autumn (mean

    temperature ;48C) and antagonistic response of littermixture in summer (mean temperature ;228C).Nonadditivity appears to emerge as much stronger in

    low-order reaches, and decreases downstream as stream

    size increases. The importance of considering ecosystem

    size on litter mixing has also been illustrated in

    ANTOINE LECERF ET AL.166 Ecology, Vol. 92, No. 1

  • terrestrial ecosystems (Jonsson and Wardle 2008),

    whereby island size inuenced the patterns of decom-

    position for litter mixtures in soils. This previous

    (Jonsson and Wardle 2008) and our present study may

    provide indirect evidence of bottom-up regulation of

    microbial decomposition in terrestrial and aquatic

    ecosystems; soil fertility increased along the gradient of

    island size (Jonsson and Wardle 2008), and solute

    nutrients are expected to progressively increase along

    the upstreamdownstream gradient. Alternatively, we

    propose that decreased magnitude of nonadditive

    mixing effects along the river continuum might be

    explained, in part, by a shift from strong biotic

    interactions typical of headwater streams (Power and

    Dietrich 2002, Meyer et al. 2007), and weaker interac-

    tions downstream owing to an increase in hydrological

    unpredictability and frequent sediment disturbance

    (Benda et al. 2004). In headwater streams, hydrological

    disturbance, outside of drying, is generally weak, and

    should contribute less to the physical abrasion of

    particulate organic matter than in downstream loca-

    tions. In addition, density of invertebrate detritivores

    may be maximal in low-order stream reaches (Jonsson et

    al. 2001). As nonadditive litter-mixing effects on

    breakdown depend on feeding activity of invertebrates

    and litter conditioning by microbial consumers (Hat-

    tenschwiler and Gasser 2005, Schadler and Brandl 2005,

    Swan and Palmer 2006a, b), locations where consumers

    have the strongest effect on litter breakdown are likely

    also to exhibit higher magnitudes of nonadditive effects.

    In conclusion, this synthesis demonstrates that

    nonadditive effects on litter mixture breakdown occur

    frequently and are more predictable than generally

    expected from individual studies. The striking inuences

    of incubation time and functional litter diversity on the

    magnitude of nonadditive litter-mixing effects suggest

    that short-term experiments assessing effects of taxo-

    nomic attributes of litter mixtures could underestimate

    PLATE 1. Studies of leaf breakdown processes in forest streams, such as the one shown above, have provided important insightsinto the functional role of biodiversity in ecosystems. Photo credit: A. Lecerf.

    January 2011 167CONTROLS ON LITTER-MIXING EFFECTS

  • the genuine importance of litter diversity for organic

    matter decomposition. This nding should encourage

    the design of long-duration experiments based on litter

    mixtures spanning a broad gradient of chemical and

    structural diversity. Although functional regularity

    (FLD2) appears to be a good candidate metric to assess

    functional litter diversity in this case, it may be too early

    to recommend the use of single index rather than

    multiple independent indices in further studies. The

    spatial scale at which functional litter diversity is

    manipulated should also be enlarged in order to

    encompass ecological processes operating at a scale

    larger than what occurs in litter bags. Finally, we

    contend that a better grasp of the determinants of

    nonadditive mixing effects could be gained by conduct-

    ing experiments in hotspots of biodiversity effects,

    such as small temperate streams, where ecosystem

    characteristics could be manipulated concomitantly

    (e.g., Rosemond et al. 2010). Current and future studies

    will have important implications for predicting the

    consequences of current worldwide homogenization of

    plant trait composition on carbon and nutrient dynam-

    ics through afterlife effects (Meier and Bowman 2008,

    Laliberte et al. 2010).

    ACKNOWLEDGMENTS

    This work was supported by grants from the French Ofcefor Water and Aquatic Ecosystems (ONEMA) to A. Lecerf.Constructive comments by two reviewers helped improve theclarity of the paper.

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    APPENDIX A

    A summary of studies and experiments selected for the synthesis (Ecological Archives E092-012-A1).

    APPENDIX B

    Quantication of functional litter diversity (Ecological Archives E092-012-A2).

    APPENDIX C

    Beyond optimal mixed-effects models for signed and unsigned deviations from additivity (Ecological Archives E092-012-A3).

    SUPPLEMENT

    Data set used in the synthesis (Ecological Archives E092-012-S1).

    January 2011 169CONTROLS ON LITTER-MIXING EFFECTS

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