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Data S1. Calculation of sulphide intrusion (Fsulphide).

Data S2. Calculation of seagrass mortality, recruitment and population growth rate.

Data S3. The Akaike's Information Criterion (AIC) and calculation of Akaike weights (wi).

Data S4. Quantile regression.

Table S1. Table showing the number of meadows sampled, the number of meadows sampled repeatedly, the number of meadows where sulphur isotopic signatures of leaf tissue 34Sleaves), contents of total sulphur in leaf tissue (TSleaves), sulphur isotopic signatures of sediment sulphides 34SCRS), sulphur isotopic signatures of water sulphates 34Swater) and shoot demography were measured for each sampling year, as well as the total number of meadows sampled, sampled repeatedly, and where TSleaves, δ34SCRS, δ34Swater and shoot demography were measured.

Table S2. Table showing the best generalized linear mixed models relating sulphur isotopic signatures of Posidonia oceanica leaf tissue (δ34Sleaves), sulphide intrusion (Fsulphide) into leaf tissue, leaf tissue contents of total sulphur (TSleaves) and sulphur incorporation into the leaves from sedimentary sulphides (SSleaves) with water depth and annual maximum sea surface water temperature (SSTmax); the estimates for the intercept, slopes of the linear models and standard errors (±SE); the sample size (N); the Akaike's Information Criterion (AIC), Akaike weights (wi) and correlation coefficients (R2).

Table S3. Table showing the quantile regressions relating the 5%, 50% and 95% quantiles of sulphur isotopic signatures of Posidonia oceanica leaf tissue (δ34Sleaves), sulphide intrusion (Fsulphide) into leaf tissue, leaf tissue contents of total sulphur (TSleaves) and sulphur incorporation into the leaves from sedimentary sulphides (SSleaves) with annual maximum sea surface water temperature (SSTmax) of the field data, and of the field and experimental data together.

Table S4. Table showing the range values of sulphur isotopic signatures of sediment sulphides 34SCRS), of water sulphates 34Swater) and of Posidonia oceanica leaf tissue (δ34Sleaves), and sulphide intrusion (Fsulphide) into leaf tissue of Posidonia oceanica for this study and others.

Figure S1. Figure showing the relationships between annual maximum sea surface water temperature (SSTmax) and (a) sulphur isotopic signatures of leaf tissue (δ34Sleaves), (b) sulphide intrusion (Fsulphide) in leaves, (c) leaf tissue contents of total sulphur (TSleaves) and (d) of sulphur incorporation into the leaves from sedimentary sulphides (SSleaves) combining the data collected at the Balearic Islands over the studied period (open circles) and the data obtained from a mesocosm experiment (García et al. 2012) (open triangles), with the respective quantile regression analysis.

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