Environmental variables in the water column in the study lakes
Water temperature, DO, and pH were almost constant throughout the water column in the end of August at all studied locations of the shallow lakes Matjärvi and Kutajärvi and at the shallower locations of Enonselkä (ST9, ST11) and Kymijärvi (CE; SM Table 1). Conversely, environmental variables declined abruptly at the deep sites, e.g., ST33 in Enonselkä, where water temperature dropped to 16.62°C, pH to 6.76, and DO to 0.71 mg/l close to the bottom (at a depth of 11 m). The TP concentration in the bottom water layer was 108% of that at the surface at the deep site (SM Table 1) and 110% also at one of the shallower stations of Enonselkä (ST11). In general, surface layer TP concentration at the shallower stations of Enonselkä (39 µg/l) was higher than at the deep station ST33 (35 µg/l) perhaps due to continuous sediment resuspension over the summer.
Interesting changes in the stratification between the in- and outflow were observed in Kymijärvi. At Kym_IF, water temperature, pH, and DO declined considerably reaching 12.98°C, 6.7, and 0.76 mg/l, respectively, at a depth of about 5 m. At Kym_OF, there was a steady decline in environmental variables throughout the whole lake water column. DO concentration declined at a higher rate than water temperature and pH reaching values less than 1.0 mg/l at about 8.0 m depth. While at Kym_IF, TP concentration in the water layer overlying lake bottom was 79% of that in the surface water layer, at Kym_CE it was 128% and at Kym_OF about 170% of the surface water layer concentration (SM Table 1). Moreover, TP concentration declined from the IF towards the OF in the surface layer while it increased in the bottom layer resulting in stronger vertical gradients near the OF. Such patterns are most likely explained by the flow direction (from IF to OF) in this lake having an elongated shape.
A similar decrease in the surface water layer TP concentration between IF and OF was observed in Matjärvi and Kutajärvi, suggesting a horizontal increase in P retention. In these two lakes, TP and SRP concentrations were almost equal in the surface and bottom layers, indicating mixing. High concentrations of DFe in Matjärvi and Kutajärvi are most likely explained by the high concentrations of humic acids (high water colour values, see Table 1) in these lakes that keep Fe in solution.
Variables describing sediment P release in the study lakes
The redox potential at the sediment-water interface was around 400 mV in both Matjärvi (371 ± 25 mV) and Kutajärvi (372 ± 34 mV; Fig. 1) indicating oxygen-rich conditions. In stratified Enonselkä and Kymijärvi, values were considerably lower (263 ± 84 mV and 167 ± 53 mV, respectively). The redox potential declined drastically with sediment depth in Matjärvi and Kutajärvi. Critical values for Fe-P release (200 mV) were observed at a sediment depth of 1.3 cm in Matjärvi and 2 cm in Kymijärvi. Differences in the redox potential between the sampling sites increased with sediment depth in Matjärvi and Kutajärvi, decreased in Enonselkä, and remained similar in Kymijärvi.
The highest pore water concentrations of SRP and DFe were found in the surface sediments of Enonselkä and Kymijärvi (p < 0.001; Tukey post-hoc test) (Fig. 2). SRP concentration in Enonselkä was about 1.8 times higher than in Kymijärvi (p < 0.001), while pore water DFe concentrations did not differ significantly between the two deep lakes. Moreover, there were large variations in the SRP and DFe concentrations within Enonselkä and Kymijärvi (p < 0.001). In Enonselkä, pore water concentration of SRP was clearly lower (p < 0.001), and DFe clearly higher at ST33 than at two other sampling sites (p < 0.001). In Kymijärvi, the highest SRP values were observed at Kym_IF (p < 0.01), and the highest values of DFe at Kym_OF (p < 0.001). In Matjärvi and Kutajärvi, variations in the pore water SRP and DFe concentrations between stations were not significant. Generally, pore water concentrations of SRP and DFe increased downwards. On average, the pore-water SRP concentration at a depth of 3 cm was 1.2 times higher (p < 0.001), and DFe concentration 0.6 times higher (p < 0.001) than in the uppermost sediments. Pore water concentrations of SRP and DFe were significantly positively correlated (r = 0.456, p < 0.001, n = 128 for all data on the Finnish study lakes; Fig. 3 is presented for individual lakes and sites). The highest diffusive flux of SRP was calculated for Enonselkä (7.83 ± 2.85 mg/m2/d; Table 2) followed by Kymijärvi (2.77 ± 3.17 mg/m2/d; Table 2). Matjärvi and Kutajärvi displayed low negative values of diffusive fluxes (-0.24 ± 0.01 and − 0.11 ± 0.01 mg/m2/d; Table 2).
Highest TP concentrations were found in the surface sediments of Enonselkä and Kymijärvi (1.89 ± 0.32 and 1.75 ± 0.50 mg/g; Table 2). In Enonselkä and Kymijärvi, TP concentration of the surface sediments was considerably higher at the deeper sampling locations than at sampling locations without stratification. TP concentration in the surface sediments of Matjärvi and Kutajärvi showed no noticeable within-lake variation. Sediment TP, Fe-P and IP concentrations (Fig. 3a, c, g) were related positively to the water depth at sampling sites (R2 = 0.923, p < 0.001; R2 = 0.846, p < 0.001; R2 = 0.935, p < 0.001, respectively). The corresponding relationships between depth and % of Fe-P, and IP in TPsed were slightly weaker (R2 = 0.667, p = 0.001; R2 = 0.710, p = 0.001, respectively; Fig. 3b, d). The % of OP in TPsed was negatively related to depth (R2 = 0.610, p = 0.003; Fig. 3f). In general, IP was the major constituent of TP in the surface sediments of the lakes studied and varied from 50% (Matjärvi) to 79% (Enonselkä) of TPsed. Fe-P represented from 23–35%, and Ca-P from 22–38% of TPsed. On average, the contribution of Fe-P to TPsed was higher than that of Ca-P in Matjärvi and Kymijärvi. In Enonselkä, Fe-P and Ca-P contributed similarly (34% and 35%, respectively) to TPsed. In Enonselkä and Kymijärvi, the share of Ca-P was similarly higher than that of Fe-P at shallower sampling sites (without stratification). Organic P of the surface sediment correlated significantly with LOI (r = 0.636, p < 0.001, n = 36). Highest LOI was observed in Kymijärvi and Matjärvi, and lowest in Enonselkä (Table 2). Additionally, a significant positive correlation was found between LOI and the ratio of Fe-P to Ca-P of the surface sediments (r = 0.540, p = 0.001, n = 36 for all sediments of all sites and all lakes), which would be expected in the presence of humic acids (i.e., softwater lakes with low Ca).
The diffusive flux of P was positively related to the concentrations of Fe-P (R2 = 0.345, p < 0.001, n = 36; Fig. 4a) and Ca-P (R2 = 0.589, p < 0.001, n = 36) of the surface sediment over all study sites. OP was negatively related to diffusive P flux (R2 = 0.170, p = 0.012, n = 36; Fig. 4b), suggesting the importance of organic matter in inhibiting P release. Diffusive P flux correlated significantly with P release rates predicted from TPsed and LOI (R2 = 0.658, p < 0.0001, n = 36; Fig. 4c).
Effect of humic substances on P release rate in world-wide lakes
In general, the trends observed for the whole compiled data set (Group A) were similar to those observed in the sub-set for which RR was measured by in situ increases and core incubations under anoxic conditions (Group C), suggesting only marginal effects from differences in the RR method. The effect of DOC on RR varied with trophic state in the whole data set (Group A). DOC affected RR positively in oligotrophic humic lakes (R2 = 0.790, p = 0.044, n = 5), but negatively in mesotrophic (R2 = 0.360, p = 0.039, n = 9) and eutrophic (R2 = 0.255, p = 0.023, n = 12) humic lakes (Fig. 5a; SM Table 3). In oligotrophic lakes, RR (mean value ± SE; 0.7 ± 0.3 mg/m2/d) was significantly lower than in mesotrophic (mean value 3.2 ± 1.2 mg/m2/d) and eutrophic lakes (mean value 3.4 ± 0.9 mg/m2/d). There were no hypertrophic lakes in Group B of humic lakes. Similar trends were observed in Group A of all lakes, and in Group C. In the analysis of all lakes (Group A), the effect of DOC was significant only in oligotrophic (R2 = 0.306, p = 0.032, n = 15) and mesotrophic (R2 = 0.214, p = 0.030, n = 20; SM Table 3) lakes. The effect of DOC on RR was still significant (R2 = 0.248, p = 0.022, n = 21) in mesotrophic lakes of Group C, with consistently measured RR.
Sediment TP concentration alone was a significant predictor of RR in Group B of humic lakes (R2 = 0.230, p = 0.013, n = 26) and for hypertrophic lakes of Group A (R2 = 0.389, p = 0.010, n = 16). Adding LOI as a second variable significantly improved the prediction of RR in all groups: Group B of humic lakes (R2 = 0.522, p = 0.0002, n = 25), Group C with consistently measured RR values (R2 = 0.310, p = 0.004, n = 32), Group A of all lakes (R2 = 0.141, p = 0.030, n = 48). In general, LOI alone appeared to have a negative effect on RR: Group A (R2 = 0.091, p = 0.028, n = 53), Group C (R2 = 0.259, p = 0.001, n = 37), Group B (R2 = 0.397, p = 0.0003, n = 28; Fig. 5b). Interestingly, hypertrophic lakes impaired the regression of RR on LOI in Group A perhaps due to organic matter associated with microbial degradation products, i.e. settled debris related to high trophic state (without hypertrophic lakes increased predictability by 13 %, R2 = 0.218, p = 0.003, n = 38).
Overall, the multivariate model consisting of water TP concentration, TPsed, and LOI to predict RR performed best for humic lakes where it explained more than half of the variance in RR (Group B, R2 = 0.554, p = 0.0004, n = 24) compared to all lakes (Group A, R2 = 0.292, p = 0.002, n = 45) and the lakes with consistently measured RR (Group C, R2 = 0.322, p = 0.010, n = 31).
In general, lake water TP concentration tended to be higher in lakes with higher DOC values, irrespectively of the group of lakes under consideration (R2 = 0.384, p < 0.0001, n = 40 for humic lakes, Group B; R2 = 0.258, p < 0.0001, n = 93 for all lakes, Group A; R2 = 0.260, p < 0.0001, n = 72 for lakes with the consistently determined RR values, Group C; SM Table 3). A significant negative effect of DOC on sediment LOI was observed in humic lakes, Group B (R2 = 0.315, p = 0.002, n = 28; Fig. 5c) and in lakes with consistent RR values Group C (R2 = 0.160; p = 0.014, n = 37). For the whole dataset, the relationship between LOI and DOC was not linear, and LOI showed a tendency to increase with an increase of DOC in lakes having DOC above 9 mg/l (Fig. 5c). They were predominantly hypertrophic lakes (e.g. Lake Balaton, Lake Arres, Muskeg and Four-Mile basins of the Lake of Woods) that had a DOC concentration above 9 mg/l. Moreover, the lakes were relatively large and shallow, and most likely affected by sediment resuspension, which causes continuous recycling of organic matter.