Discrepancies in Growth Measurement Methods of Mosses : An Example from Two Keystone Species Grown under Increased CO 2 and N Supply in a Restored Peatland

Bryophytes dominate northern peatlands. Obtaining reliable measurements of moss-growth and how it may be affected by global changes are therefore important. Several methods have been used to measure moss-growth but it is unclear how comparable they are in different conditions and this uncertainty undermines comparisons among studies. In a field experiment we measured the growth and production of Sphagnum fallax (Sphagnum) and Polytrichum strictum (Polytrichum) using two handling methods, using cut and uncut plants, and three growth-variables, heightgrowth, length-growth, and mass-growth. We aimed “benchmarking” a combination of six methodological options against exactly the same set of factorial experiments: atmospheric CO2 enrichment and N addition. The two handling methods produced partly different results: in half of the cases, one method revealed a significant treatment effect but the other one did not: significant negative effects on growth were only observed on uncut plants for elevated CO2 and on cut plants for N addition. Furthermore, the correspondence between measurements made with various growth-variables depended on the species and, to a lesser extent, treatments. Sphagnum and Polytrichum growth was inhibited under elevated CO2, and correlated to higher ammonium values. Sphagnum was however less affected than Polytrichum and the height difference between the two species decreased. N addition reduced the P/N ratio and probably induced P-limiting conditions. Corresponding author. A. Siegenthaler et al 2355 Sphagnum growth was more inhibited than Polytrichum and the height difference between the two species increased. Our data show that such a problem indeed exists between the cut and uncut handling methods. Not only do the results differ in absolute terms by as much as 82% but also do their comparisons and interpretations depend on the handling method—and thus the interpretation would be biased—in half of the cases. These results call for caution when comparing factorial studies based on different handling methods.


Introduction
Bryophytes play an important functional role in both natural and regenerating cutover peatlands of the temperate and boreal zones of the Northern Hemisphere.Growing peatlands represent a globally significant long-term carbon sink and Sphagnum bogs are an important component of these peatlands [1] [2].However, large areas of these bogs have been exploited and are now either destroyed or gradually regenerating.The natural regeneration of cutover bogs is a typical example of facilitation where a keystone species, in the Jura Mountains usually either Polytrichum spp. or Eriophorum spp., creates favourable microclimatic conditions allowing Sphagnum spp. to re-establish more easily [3].Polytrichum functions as a seed-trap for Sphagnum diaspores [4].In a later stage, Sphagnum outcompetes the initial coloniser and the further succession leads to typical Sphagnum bog vegetation [5].
The sequestration of C in peatlands and the natural regeneration process of cutover bogs, may however, be modified by specific treatments such as atmospheric CO 2 enrichment or enhanced N depositions.Indeed, bryophytes are amongst the most sensitive plant species to atmospheric pollutants.The absence of a defined root system for major nutrient uptake in terrestrial bryophytes conveys a potential dependence on the atmosphere [6] [7].Moreover, poikilohydrous species such as mosses reach the saturation level of photosynthesis at a much higher concentration of atmospheric CO 2 compared to vascular plants [8].
Given the functional importance of bryophytes in northern peatlands, it is essential to obtain reliable estimates of their growth and productivity to monitor C sequestration.Various studies have investigated Sphagnum growth and how it was affected by enhanced CO 2 or N deposition [9]- [20] but much less is known concerning Polytrichum [21]- [23].Comparing these and other (see also Table A1) moss growth data is difficult for two reasons: 1) two main methods were used, either by initially cutting plants or not, and 2) growth was either expressed in terms of height-, length-or mass-growths.Now, these methods are normally used to measure different ecological responses and therefore have additional value and are often chosen on purpose in most studies.We can expect these different measures not correlated 1:1 and comparing them without any idea of their ecological meaning in a large meta-analysis is also therefore not advisable.After making a literature review (see also Table A1) we found that various methods have been used to answer the same research questions.Various methods generated various responses that have been merged in a bigger meta-analysis using averaged conversion factors.One good example of such a merging can be found in [24], where the authors maximized the number of experiments included in their meta-analysis by converting stem growth to production using a generalised relationship between stem growth and production derived from a common subset of glasshouse and field experiments where both variables had been reported.We think that extrapolation of such relationships may be problematic and the aim of our study is to "benchmark" these methods against exactly the same set of treatment experiments.
Reference [25] first introduced the "cut plant" method and Clymo later modified it into the "capitulum correction" method [26], both of which are based on the stem length increment of inserted pre-cut plants.It should be stressed that the cut methods are nowadays not used as often as in the past.The alternative to this method is simply to insert a marker that allows the growth to be measured.This "uncut" method is much simpler, and causes the minimal disturbance.Given the fragility and sensitivity to drought of bryophytes, the fact of cutting or not the plants may affect their subsequent growth and the two methods may therefore yield different results.Surprisingly, to our best knowledge, no study has attempted to compare these two methods, although Clymo's methodological review [26] provides hints for a possible bias under certain conditions (e.g.hygrometry).
Our aim was to apply all these growth-measurement methods in parallel to exactly the same set of global change treatments.To do so we need a double approach: 1) investigate how the growth of Sphagnum fallax (Sphagnum) and Polytrichum strictum (Polytrichum) mosses was affected by the cutting and other handling associated with the well used capitulum correction method; and 2) assess the effect of elevated CO 2 or enhanced N deposition on various growth-measurements of these two species.
We hypothesised that: 1) Polytrichum would be more affected than Sphagnum by the cutting and handling of the capitulum correction method because cutting Polytrichum would disconnect its internal conducting tissue and reduce its ability to re-translocate nutrients from old parts; 2) elevated CO 2 would increase the source-tosink relation, leading to a "dilution" of nutrients and shift in nutrient limitation [27], and thus favour massgrowth of plants adapted to nutrient-poor conditions such as Sphagnum [28]; and 3) N addition would increase N-nutrient availability and stimulate preferentially the growth of Polytrichum [21].

Study Site
The field experiment run from March 27 to November 11, 1997 in an ombrotrophic peatland in the Swiss-Jura Moutains (La Chaux-des-Breuleux, 47˚15'N, 6˚55'E, alt: 1000 m.a.s.l).The mire was drained and the peat was exploited until 1945, and then abandoned.The average daily temperature in the warmest month is 15˚C and −5˚C in the coldest month.The average annual precipitation is 1390 mm and snow covers the site 80 to 120 days yr −1 .N deposition is 15 Kg•ha −1 •yr −1 [29].The vegetation is dominated by Eriophorum vaginatum, Carexnigra, Vaccinium oxycoccus, Sphagnum fallax, Polytrichum strictum, and Aulacomnium palustre.Polytrichum and Sphagnum plants constitute a mosaic assemblage.

Experimental Setup
Two separated experiments were conducted in two adjacent ca.400 m 2 surfaces (15 m apart): 1) atmospheric CO 2 enrichment experiment with treatment as elevated, 560 ppm CO 2 (C + ) and ambient (AIR), 360 ppm CO 2 ; 2) mineral N addition experiment with treatment as enhanced, 30 Kg N•ha −1 •yr −1 (N + ) and control as ambient (N 0 ).The first experimental site was equipped with a CO 2 gas enrichment device composed of five one meter diameter MiniFACE rings (plot-replicates) connected to a gas inlet and computerised control system [30].Five other rings (plot-replicates) not connected to the gas inlet represented the control rings.On the second sub-site, mineral N was regularly applied as an aqueous 107 mM solution of NH 4 NO 3 in six applications per growing season as a fine spray on five one meter-squared plots.Each dose was given in 2 litres of distilled water per plot.Control plots received 2 litres of distilled water per plot.The treatments were randomly assigned to the plots.The two experiments have been carried out throughout the growing season until the bog had its first diurnal frosts (November 11).

Water Table and Water Chemistry
The water table depth (WTD) below the Sphagnum canopy was measured every second week in the plots' piezometer and the cumulative WTD (CWTD) calculated for each point in time.This was done in parallel with the height-growth measurements described below.The surface porewater of each plot was sampled using soil moisture samplers (Rhizon, Eijkelkamp, Holland) placed in peat acrotelm (5 cm depth), and vacuumed bottles (−0.7 bar).The samples were taken just before N addition and were analyzed for DOC (dissolved organic C), pH, total N and P, and major cations and anions following standard protocols [31].DOC was calculated as total C (measured by NDIR following oxidation) minus inorganic C (measured by NDIR following mineralization by H 2 PO 4 ).Nitrate was measured with an HPLC by means of separation on an ion exchange column and detection with refractive index.Ammonium and sulphate were measured colourimetrically.Total N, chloride, and aluminium were measured using an elemental analyzer.Sodium and potassium were measured by flame emission spectroscopy.Calcium, magnesium, and iron were measured on an atomic absorption spectroscopy.

Handling Methods: Cut and Uncut Plants
We performed the same growth-measurements on both, cut and uncut plants taken from the same plots.Firstly, for the cut plant method, a cylindrical moss carpet core was extracted from each plot using a burger cylinder (Ø = 10 cm).Plants were cut at 50 mm below the Sphagnum capitulum carpet and 60 mm below the Polytrichum apex.Twenty plants for each species were randomly taken out of the cylinder's centre and assembled in a close to natural mosaic pattern around miniature bottlebrush (the hairy part being anchored in the moss carpet, the metallic wire sticking out) with Polytrichum tips extending 10 mm above the Sphagnum capitula, as this corresponded to the average height difference between the two species measured in the previous year.The assemblage was gently tied up in a bundle with a fine visible thread and put back in the cylinder's centre among the other plants cut at the same height.The whole cylinder was reinserted into the plots.For the uncut plants, we only introduced a bottlebrush in the moss carpet, using a narrow tube to bring the brush into place.The introduction of a bottlebrush helps anchoring the wire in the moss carpet and corresponds to a modified version of the cranked-wire method [21] [26].In the text we will still refer to it as the cranked-wire method.

Growth-Measurement Variables
Three growth-measurements were done in parallel: 1) Height-growth (HG): we determined it for both species five times throughout the growing season by measuring the length of the bottlebrush wire emerging above the mosses.The measurements were made on both cut and the uncut plants.
2) Length-growth (LG): at the end of the season, the bundle of cut plants (LG-cut) assembled around the bottlebrush was detached from the moss carpet.The plants were then flattened out to determine the final lengthgrowth and subtracting the initial length (50 and 60 mm respectively for Sphagnum and Polytrichum) for each of the 20 plants.
For the uncut plants (LG-uncut), a 7-cm diameter, and 15-cm long core was taken around each bottlebrush.The cores were then cut into slices as follows.The 0 level was defined for both mosses as the top of Sphagnum capitula.i) We first cut the top centimetre of the Sphagnum mosses together with any other plants (0 -1 cm sections).Since Polytrichum mosses grew taller than Sphagnum, this section represented one centimetre for Sphagnum, but more (1.1 -6.6 cm) for Polytrichum.ii) We cut each core 2 cm lower (1 -3 cm sections).Individual plant biomass measurements represent averages over 10 plants for each core.Because the uncut plants were kept intact and without reference mark (thread or clipping), the length-growth of the uncut plants (LG-uncut) was calculated as follows: where: HG = height-growth measured as described above; SL = average length of 10 stretched moss segments measured at final harvest, and AL = actual length (un-stretched, i.e. either 1-cm or 2-cm).
3) Mass-growth (MG): for cut Sphagnum (MG-cut) plants it was measured using a capitulum correction [26] that was applied to the plants in the cranked-wire bundle.The procedure takes into account the capitulum weight variability and its relation to annual growth.The regression slope between capitulum and stem weights necessary to extrapolate the initial capitulum weight was determined on 200 Sphagnum plants of variable sizes sampled on the two experimental sites outside the plots.The mass-growth is calculated by subtracting from the final mass of the portion from the tip to clipping the initial mass extrapolated from a 2 cm long stem segment.
where M f = mass of final portion from the top of the capitulum to the cut; M i = initial mass calculated from 2 cm stem segment using the regression slope between capitulum and stem weights.Mass-growth of the uncut Sphagnum (MG-uncut) was calculated by multiplying the total length increment (LG) by the average biomass per unit length (sections 0 -1 cm and 1 -3 cm together) of 10 plants.
For both cut and uncut handling methods, we calculated the mass-growth of Polytrichum by multiplying the total length increment (LG) by the average biomass per unit length in the top three centimetres.
We calculated, for both handling methods, the growth difference (∆MG, ∆LG and ∆HG) between the two moss species by subtracting Sphagnum growth from Polytrichum growth, for cut and uncut plants.This was important as we expected the phenology of Polytrichum interacting with the phenology of Sphagnum.

Numerical Analyses
Distributions, homogeneity and homeoscedacity of residuals were checked using QQ-plots and scatter-plots for all statistical models.Remaining patterns in the residuals were removed by adding interactions among variables.Three ANOVA models have been used: 1) Comparisons of WTD and porewater chemistry variables between treatment sites were analysed with a one-way ANOVA after removal of three outliers based on cook distances.
2) HG, ∆HG and growth-rates of the cut plants (Figure 1) were analysed using a two-way (treatment, time, CWTD as covariate, treatment × time) repeated measures analysis of co-variance (RM-ANCOVA, Table 2) with contrast tests for specific points in time.3) A two-way analysis of co-variance (ANCOVA) was used for all growth-variables and for HG measured at the time of final harvest (treatment, WTD as covariate).The tests were performed using S-plus 4.5 (Insightful Corporation, Seattle, USA).The results are expressed in least square means to extract the "net" means after correcting for unwanted variance attributed to other factors.Because of the limited amount of replicates we could not insert handling, methods, treatments and covariates in the same analysis of variance.Instead we privileged to look at the correlations between the methods after the retrieval of the covariate effects.Additionally, the Cranked wire method enabled to make repeated measurements of the synecological growth of both species, which altogether added a lot of information as well as some complexity to our approach.
Treatment effects mentioned in the text in percent are significant (P ≤ 0.05), unless explicitly described as trends (0.05 ≤ P ≤ 0.1).The different growth-measurement methods were compared using partial pair wise correlations (Pearson) after retrieving the variance of the WTD in a principal component analyse (PCA) performed with the JMP/SAS software 8.0 (SAS Institute, Cary, USA).

Water Table Effect
No significant difference was observed for the median WTD in either of the treatments (on average 273 ± 15 mm).The interactions between treatments and WTD of both experimental sites were not significant and did not improve the distribution patterns in residues and were not included into ANCOVA models.The WTD represented on average 37% of the explained variance for both species over all treatments.

Moss-Growth as Assessed by the Two Handling Methods
The growth dynamics of uncut plants have already been published by [21] for the same species growing on the same plots and at the same time.In terms of height-growth (HG-uncut) dynamics, the two treatments had contrasting effects on competition between the initial coloniser Polytrichum, which was favoured by the N addition and the later coloniser Sphagnum, which was favoured by the elevated CO 2 treatment.
We focus next on the difference in treatment effects as assessed using the two handling methods.The HG, ∆HG, LG, ∆LG, MG and ∆MG of uncut plants, after having retrieved the WTD effect, are compared with corresponding data from cut plants to determine to what extent these two methods affected the results (i.e."bias" in Table 2).
We assessed to what extent cutting plants affected the results by calculating a percentage difference between measurements on cut and uncut plants.Cutting the plants in most cases strongly reduced the measured values for growth and in several cases this causes a bias in the results (Table 2).There were two exceptions with Sphagnum and Polytrichum (only in the N 0 plots) mass-growths, which actually increased due to cutting.The cutting negative effects were always more pronounced in treatment plots as compared to controls plots (one exception for the MG in the CO 2 treatment).
For the elevated CO 2 treatment, in four of the nine cases (∆HG, Polytrichum LG, ∆LG, and Polytrichum MG) the results differed leading to a "handling bias", i.e. a significant negative treatment effect was observed for the uncut method but not for the cut method (Figure 2).In three cases no significant treatment effect was observed at all, for Sphagnum HG a significant negative effect was observed using both methods.Finally Polytrichum HG of uncut plants was significantly reduced by 32% and a marginally significantly by 27% difference for cut plants.
In the N addition experiment, in four cases a possible handling bias could not be assessed because as a result of N addition the Sphagnum mosses became too fragile to allow any manipulation.Of the five remaining cases, a bias was found in three cases (HG of both species and Polytrichum LG) with significant negative treatment effect using only the cut plant method.In one case (∆HG) both method revealed a significant positive treatment effect and in the last case no significant effect was observed.Thus overall in half of the cases the same results would be obtained regardless of the method used, but in the other half different conclusions would be reached.In the CO 2 treatment, whenever a handling bias was observed, the treatment effect was less marked (and non-significant) for the cut plants.In contrast, in the N addition experiment, wherever a bias was observed cut plants were clearly negatively affected (they grew less) while the growth of uncut plants was not significantly affected (but they tended to grow better).These plants also became too fragile to be handled thus making it impossible to estimating length-and mass-growth.

Pairwise Correlations
For Polytrichum, in the CO 2 enrichment experiment, LG and HG were correlated for both, cut and uncut methods and MG-cut was correlated to LG-cut (Figure 2).In the control plots, MG-cut was positively correlated to HG-cut, while in treated plots MG-uncut was negatively correlated to the HG-cut.In the N enrichment experiment, HG, LG and MG are all positively correlated within either the cut or the uncut method (Figure 2).Furthermore, only the HG-cut of control plots (N 0 ) are correlated with the HG-uncut, LG-uncut and MG-uncut.
For Sphagnum, in the CO 2 enrichment experiment, the only significant correlations were a positive correlation between HG-uncut and the LG-uncut (Figure 2), and a positive correlation between MG-cut and LG-cut of treated plots.In the N enrichment experiment, most of the cut Sphagnum plants were too fragile to do measurements (Figure 2).Only the HG-uncut, LG-uncut and MG-uncut data can be used.LG-uncut is correlated to both HG-uncut and MG-uncut, and MG-uncut is only correlated to HG-uncut in the control plots.

Seasonal Growth Patterns of Cut Plants
No significant cross-effect between treatments and time was observed for the HG of either species using the cut plant methods (Figures 1(1)-(4)).
The two experiments had contrasting effects on ∆HG both overall and in the seasonal pattern: In CO 2 treated plots, ∆HG remained below that of the control plots until the beginning of September after which it was enhanced by the treatment (Figure 1(5) and Figure 1(7)).By contrast, N addition did not affect ∆HG until the beginning of September, after which it was significantly enhanced by the treatment (Figure 1(6) and Figure 1(8)).
Sphagnum had two growths period in the control plots.The first period of growth occurred from spring until mid-July and the second after the beginning of September until the end of the season.By contrast the growth of Polytrichum, was unimodal and lasted from spring until mid-July.
Overall, the growth-rate of Sphagnum was inhibited (−56%, P = 0.007) by the CO 2 treatment, reaching a maximum difference by mid-July followed by an inhibition stop after the beginning of September.Whilst the growth-rate of CO 2 treated Polytrichum was initially less than that of the control, after the beginning of September it suddenly increased.
N addition significantly reduced the growth-rate of Sphagnum in September, while the growth-rate of Polytrichum was not significantly affected.

Effects of Handling on Moss-Growth Measurements
Ideally, different handling methods should yield identical results for a given species in a given environment.If all measurements are systematically modified by the same handling method but that this does not affect the results of manipulative experiments or comparisons among species then such a bias may be tolerable.However, if a handling method affects some species, and/or if there is an interaction between the handling and the treatment (e.g.climate change conditions) that effect the growth-measurement then this will make comparisons among studies completely irrelevant.Our data show that such a problem indeed exists between the cut and uncut handling methods (Table 2).Not only do the results differ in absolute terms by as much as 82% but the interpretation of results depends on the handling method-and thus the interpretation would be biased-in half of the cases.These results call for caution when comparing studies based on different handling methods.
In general, while the cut plants handling method is straightforward and very precise; it remains an intrusive method [26] [32].If the water table drops below the cutting level, as it did in our case, the resulting physical separation may significantly reduce the health of the plants [26].

"Benchmarking" of Growth-Variables
It would be useful to rely on a single, quick and easy method to obtain reliable growth data.We compared simultaneously three growth-variables both, in terms of absolute value and in terms of correspondence (correlations).
With respect to absolute values, our data show that growth, measured using the height-growth method, is underestimated by 7.2% to 16.4% for Sphagnum and by 7.8% to 16.3% for Polytrichum relative to length-growth (Table 2).This is in accordance with another experiment performed by [33] who showed that Sphagnum plants measured with the cranked-wire method (i.e.height-growth) were underestimating growth by 10% -20% in comparison to the 14 C labelling method (i.e.length-growth).A more recent study shows that the cranked-wire method was inaccurate because of the water movements and the freeze-thaw cycles [43].
With respect to correspondence, our results show that all variables correlate fairly well but that discrepancies depend on plant species and, to a lesser extent, to CO 2 or N experiment (Figure 2).Overall 88% (21/24) of correlations within handling methods were significant for Polytrichum but only 44% (8 out of the possible 18) for Sphagnum.Between cut and uncut handling methods these values dropped to 8% for Polytrichum (3/36) and 0% for Sphagnum.These results show that a single growth-variable is in most cases sufficient for Polytrichum but that this is not the case for Sphagnum.For Sphagnum, the uncut approach, height-and length-growth are in all cases correlated and length-growth was correlated to mass-growth only in the N addition experiment.It follows that if a single growth-measurement should be chosen to measure the growth of Sphagnum, then length-growth would be the best choice.Length-growth would also be the best variable to estimate the growth of Polytrichum, being in all cases significantly correlated to height-growth and in all but one case to mass-growth.
Even though the cranked-wire method can underestimate growth because of the sinuous growth of Sphagnum it remains the most applicable and less intrusive method for measuring growth-dynamics, competition and phenology simultaneously.Reference [34] qualifies this method as most reliable for increments smaller than 2 cm when used for Sphagnum.

Elevated CO 2 Effects
The height-growth of both moss species was inhibited by the CO 2 treatment (Table 2), while the length-growth and mass-growth were only reduced for Polytrichum.This suggests that CO 2 treatment changed the habitus of the plants and/or increased the linear mass density of the plants.This is in accordance with [14] who showed an increased capitulum density and [13] who concomitantly found an increased stem density for various Sphagnum species.However, in our study, as the subsequently analysed mass-to-length ratio of Sphagnum did not change between treatment and control plots the effect is more likely due to a more sinuous growth.
In terms of growth-competition between the two species, during spring and summer, the height-growth difference of CO 2 treated and cut plants was below that shown in the control because Polytrichum's initial growthrate was not as high as for control plants (Figure 1(5)).After September, this height-growth difference became higher than in the control because treated Sphagnum did not experience the growth-rate peak by mid-July as did the control ones.The fact that by September Polytrichum's final growth-rate was higher than the control, while Sphagnum's growth-rate remained unchanged, kept the height-growth difference of treated cut plants above that of control plots (Figure 1(7)).In the end, these growth-inhibitions were less strong for Sphagnum and reduced the difference in height between the two species.
Given the lack of data published on Polytrichum and these two species in interaction, we must compare our results with work done on various Sphagnum species.For example, in a phytotron CO 2 enrichment experiment, [14] found a negative effect on length-growth and no effect on mass-growth for S. balticum (hollow species), and no effect on length-growth but a positive effect on mass-growth for S. papillosum (low hummock species).Earlier, [13] found a negative effect on length-gowth but no effect on mass-growth of S. fuscum (hummock species).The following year, he found no effect on height-growth or mass-growth of S. fuscum and S. magellanicum (lawn or low hummock species).Our literature review (Table A1) supports the idea that among Sphagnum, strategies for using CO 2 may well be species-specific, as proposed by [13].
There may be several reasons for the height-growth inhibition of both species under CO 2 treatment: 1) Under elevated CO 2 , nutrient uptake could not keep pace with the triggered photosynthesis, leading to sub-optimal nutrient availability preventing the transfer of additionally fixed carbon (TNC and starch) to production of structural tissue.Lacking roots, bryophytes cannot increase nutrient foraging and may not benefit from elevated CO 2 in terms of structural growth.
3) Al 3+ ion concentration was 55% higher in treated plots, however no linear correlation was found between height-growth and Al 3+ that would attest potential growth inhibition due to toxic effects of Al 3+ as originally proposed by [9].

N Addition Effects
N addition reduced Sphagnum (−63%) height-growth more than Polytrichum (−43%), the height-growth difference (∆HG) therefore increased (Table 2).After the beginning of September, Sphagnum were increasingly more affected by the treatment and could not keep pace with Polytrichum, which benefited from a less reduced growth-rate in mid-July compared to Sphagnum (Figure 1(8)).N addition also caused Sphagnum plants to grow weaker making mass-growths measurements all but impossible.
Cutting the plants added inhibitory effects that were not present for the uncut plants.Comparatively, Twenhöven [12] found a positive N treatment effect on mass-growth of Sphagnum in hollows and no effect in hummocks (Table A1) with cut plants.Similarly, using uncut plants, [11] found different N effects on heightgrowth and mass-growth depending on whether Sphagnum was growing on N-rich or N-poor sites.Other studies showed an inhibition of mass-growth or cover for S. fallax with ammonium and/or nitrate [9] [10].This was also the case for P. strictum [23].Although the picture seems contrasted, it appears from our review that the somewhat higher inorganic N additions, although close to optimal concentrations, lead to positive effects on either length-growth or height-growth, whereas supra-optimal ones lead to inhibitions.
There may be several reasons for the height-growth inhibition of both species under N addition: 1) N addition could P-or K-limit instead of N-limit plant productivity [11] [16] [17].In our case, P concentrations were low (N + : 0.032, N 0 : 0.048 mg/L) and comparable to unpolluted ombrotrophic Sphagnum bogs in northern Finland [0.047 mg/L; 38].The significant P reduction (−33%) under enhanced N as well as the lower P/N ratio in treated plots compared to control plots (N + : 0.033; N 0 : 0.051) could be a first indication for potential P-limiting conditions.This is confirmed by a parallel study on our site that showed that Sphagnum was jointly Pand K-limited [16], and therefore cutting of plants might have limited growth even further through chemical disconnection from the lower peat parts.
2) N addition might have been immobilised after application by other plants [39] or microbes [40].However, this would not explain the lack of growth-inhibitions for uncut plants.
3) N addition as a 1:1 (mole/mole) NH 4 NO 3 mixture might decrease soil pH [41] leading to decreased exchangeable cations (Ca 2+ , Mg 2+ ), and increase 4 NH + and 3 NO − leaching [42].The lower Mg 2+ concentrations in treated plots may indicate that such processes are occurring.However, given the tolerance of Sphagnum for pH ≤ 3 [10] a direct effect of pH is unlikely.

Conclusions
Growth-measurements involving initial cutting of the moss shoots (still widely applied) should be avoided as they have a strong potential to induce bias in the conclusions of studies.From the present study we can also recommend that for Polytrichum, it is preferable not to use "capitulum correction" (MG) together with enhanced N experiments.For Sphagnum, it is essential to use uncut plants together with a length-growth measurement in both treatments.It follows that if a single growth-measurement should be chosen to measure the growth of Sphagnum, then length-growth would be the best choice.Length-growth would also be the best variable to estimate the growth of Polytrichum, being in all cases significantly correlated to height-growth and in all but one case to mass-growth.
Investigating the various growth responses as a function of exactly the same set of treatments helped us to investigate more sharply how the handling methods and the selected growth variables interacted with the treatments.Discussing the ecological aspects around those growth responses in parallel to the methodological aspects adds a lot of information and enables to qualify the nature of the methodological biases.For example, the somewhat typical nutrient-dilutions found in enhanced N plots may become even more important if cut plants methods are being used.Furthermore, the sinuous growth of mosses under elevated CO 2 may warn the researchers not use of the straightforward "cranked wire" together with averaged stem densities to estimate the biomass production.
Finally, we recommend moss ecologists to be very cautious when selecting a growth-measurement method for their factorial experiments, as interactions exist between the method and the treatment, and do matter.This also applies for meta-analyses that aim to summarize production values studied under specific treatments and gathered from various sources.

Figure 2 .
Figure 2. Pairwise linear correlations (Pearson) between growth-variables and handling methods, for Polytrichum strictum (N = 5) and for Sphagnum fallax (N = 5).HG = height-growth, LG = length-growth, MG = mass-growth.Values in italics represent correlations for the control plots.Values in bold represent significant correlations (P ≤ 0.05).Shaded cells represent paired correlations that are significant within both, treated and control plots.

Figure 3 .
Figure 3. Linear regression between Sphagnum fallax height-growth of cut plants (HG-cut) and dissolved inorganic nitrogen (DIN) or ammonium (

Table 1 .
ANOVA summary table showing surface porewater chemical responses to treatments; values represent means ± S.E.(standard error) and are expressed in mg/L except for pH; the sum of cations and anions is not balanced ionically; N (AIR or CO 2 or N + or N 0 ) = 5; e.g.%CO 2 = percent CO 2 treatment effect, only shown when the effect is significant; DIN = dissolved inorganic nitrogen; DOC = dissolved organic carbon; for more readability the significant water table factor (WTD) is not included in this table.

Table 2 .
ANOVA summary table showing least square means and effects of treatments on Polytrichum strictum and Sphagnum fallax growth measured with various growth-variables and methods (cut and uncut); HG = height-growth, ∆HG = height-growth difference between P. strictum and S. fallax, LG = length-growth, ∆LG = length-growth difference, MG = mass-growth, ∆MG = mass-growth difference; %CO 2 and %N + are the percentage treatment effects; "Bias" indicates cases where treatment effects as measured by the two methods are either similar (i.e.positive, negative or no effect: "no") or different (i.e.either both significant but of opposite effects or only one significant: "yes").
a Analyses were made with cranked-wire data measured at the time of final harvest.
experiments accross Europe.