3.1 Difference between N concentration under different temperatures
ANOSIM results of the N differences for different temperatures are shown in Table 1. The data collected at the same temperature and location are considered the same group (e.g., data collected from the water column on different days at 10℃ are group 1). It is readily apparent that the water column results have significant differences (p < 0.001) and the differences among groups are pronounced. There is an obvious difference between the nitrate concentrations of pore water (p < 0.001), but the differences between groups are not as high as in the water column; the difference in NH4-N is not significant (p > 0.05), and there is no significant difference between groups and within the group (R close to 0), which means temperature doesn’t have an effective influence on NH4-N content in sediments pore water.
Table 1
Statistics
|
Water column
|
Pore water
|
NH4-N
|
NO2-N
|
NO3-N
|
NH4-N
|
NO2-N
|
NO3-N
|
R
|
0.8187
|
0.9917
|
0.9008
|
-0.0174
|
0.7496
|
0.4286
|
p-value
|
0.001
|
0.001
|
0.001
|
0.505
|
0.001
|
0.001
|
*p-value < 0.05 means the H0 is rejected, i.e., it is likely that the means of the respective groups are different.
To quantitively evaluate the difference in N concentrations, box plots of NH4-N, NO2-N, NO3-N, and Dissolved inorganic Nitrogen (DIN) of the water column are shown in Fig. 3. Even though some extreme values exist, from 25% quantiles, 75% quantiles, the median value, and the mean value the NH4-N concentration of the water column tends to gradually decrease with increasing temperature, and the decline gradually slows down, except at 20℃. NO2-N is highest between 20 ~ 25℃, and NO3-N is highest at 25℃. Combined with the DIN content at 25℃ in Fig. 3d, the nitrification reaction speed is fastest at 25℃.
Figure 3d shows that the DIN release gradually decreases with the increase in temperature, yet there is a sudden change at 20℃ where it increases sharply. Although the diffusion process increases at higher temperatures; the process is bidirectional. At the beginning of the experiment, due to the extremely low N content in the water column, N in the sediments also exists in the form of NH4-N, the release of which is driven by the concentration difference and temperature, gradually accelerating with increasing temperature. During the experiment, nitrification gradually increases with the increase in temperature, NH4-N decreases while the NO3-N increases in the water column. The nitrification rate at 30℃ is not significantly increased as compared to that at 25℃, but the diffusion rate is greater. At this time, the difference in the rate of N diffusion up or down is less than that at 25℃. Therefore, both NH4-N, NO3-N, and DIN are relatively low in concentration. Boxes of 25℃ and 30℃ are larger than other temperatures (Fig. 3d) indicating that DIN concentration fluctuates greatly, the release rate is faster with the higher temperature at the beginning of the experiment, gradually stabilizes, and falls back to the average level as the experiment progresses. The relatively abnormal temperature is 20℃, the content of NO2-N and NO3-N is at an average level while NH4-N far exceeds other temperatures, which also leads to a greater concentration of DIN at 20℃. The results demonstrate that the net rate of NH4-N released from internal sources of sediments is the fastest at 20℃.
3.2 Vertical distributions of N
In addition to the difference in the concentration of N in the water column, temperature also affects the longitudinal distribution of N. Average NH4-N, NO2-N, NO3-N, and DIN concentration distributions are plotted as a function of temperature in Fig. 4, which was developed through interpolation. It is observed that the concentration of NH4-N in the vicinity of the SWI decreases from the bottom to the top caused by its oxidization by DO. All NH4-N in the water column is released from the sediment, and its concentration varies nonlinearly with rising temperature. Because the diffusion coefficient is normally proportional to temperature, increases in N content in the water column would occur more at high temperatures than at low temperatures. Yet in the experiment, it is observed that NH4-N concentration in the water column is greatest, and the corresponding NH4-N concentration in the pore water is lowest at 20℃.
Moreover, it is found that NO2-N and NO3-N exist mainly in the water column. NO2-N concentration is greatest when the temperature is between 20 ~ 25℃, and NO3-N is greatest at the temperature of about 25℃. Due to the present concentration difference at the SWI, NO2-N, and NO3-N enter the pore water, leading to NO2-N and NO3-N concentrations in the shallow sediment greater compared to the deep sediment. Because of the diffusion action, NO2-N and NO3-N content at the temperature of 20 ~ 25℃ below the SWI is greater than those in the water column at lower temperatures. When the temperature increases from 15 to 20℃, NO2-N increases from 14 µg·L− 1 to 122 µg·L− 1, indicating that NO2-N can exist in the water column more stably at higher temperatures.
DIN in the water column comes from the sediment, affected by physical diffusion. Compared to the changing concentrations of NH4-N, NO2-N, and NO3-N related to DO, DIN is mainly constant in the longitudinal direction (Fig. 4d). It is seen that the DIN variation is similar to that of NH4-N, which is highest at 20℃ and decreases with temperature up to 30℃. From the concentration distribution of DIN in the pore water, the DIN in the water column approximates that of the pore water in the shallow sediments at 20℃, a large amount of DIN is released from the sediment to the water column, and gradually reaches an equilibrium state under this temperature condition. With higher or lower temperatures, there is obvious DIN stratification in the vertical direction (Fig. 4d). The DIN concentration at 1 cm below the SWI is 1.64 and 2.46 times that of the SWI at 10 and 30℃, respectively.
3.3 Diffusive flux at the SWI
Diffusion of N occurs at the SWI due to longitudinal concentration differences, N concentration change in the water column, and diffusive flux at the SWI under different temperatures are shown in Fig. 5. The diffusive flux of NH4-N becomes larger at higher temperatures. When the concentration difference at the SWI changes, the flux will respond. Although the order of NH4-N from high to low (20 > 10 > 15 > 30 > 25℃) did not follow the order of temperature increase or decrease, the diffusive flux increased with increasing temperature except at 20℃. The result demonstrates that temperature could affect the internal release of NH4-N, and this process gradually speeds up at higher temperatures. However, the presence of NH4-N in the water body can inhibit the release process.
Note that initially there is no NO2-N and NO3-N in the water column when the experiment begins, and these nitrogenous compounds then diffuse from the sediment to the water column, and their flux increases at higher temperature (Fig. 5b and Fig. 5c). Under anaerobic conditions in the sediment, both NO2-N and NO3-N concentrations are relatively low. When the NH4-N in the water column is converted to NO2-N and NO3-N under aerobic conditions, then their concentrations become greater compared to those in the sediment. These nitrogenous compounds further diffuse from the water column to the sediment. Simultaneously, NO2-N and NO3-N in the sediment are consumed by denitrification, which further maintains the concentration gradient near the SWI. Although the concentration of NO2-N is low, there is still a significant difference between NO2-N concentration at 10 ℃ and 15℃, and at higher temperatures, NO2-N releasing and concentration, maintaining an increase from 15 to 20℃.
The main factors driving diffusion are the differences in concentration and temperature, affecting both mass transfer flux and ongoing reactions. Overall, the diffusive flux is not a linear function of the temperature. To obtain the average diffusive flux at the SWI and to quantify the effect of the temperature on the N release from sediment, curve fitting was conducted based on the vertical distribution of N concentrations. A Polynomial2D model was chosen for NH4-N and NO3-N, and a Lorentz2D model for NO2-N. Numerous functional fits were assessed based on their R2 value; for brevity, only the best relationships are shown. \(\stackrel{-}{J}\) is the average diffusive flux of the first t days at T℃. Other variables in the equations are simple fitting parameters chosen to best match the results. It is seen that most of the best-fit curves have good fit results (R2 > 0.83), as shown in Table 2 and Fig. 6. Based on the fitted equations, the rate of diffusion of N from sediment to water column at different temperatures (10 ~ 30℃) and its change trend can be estimated.
Table 2
Parameters of fitted equations
Equation
|
\(\stackrel{-}{J}={J}_{0}+{A}_{1}T+{A}_{2}{T}^{2}+{A}_{3}{T}^{3}+{A}_{4}{T}^{4}+{A}_{5}{T}^{5}+{B}_{1}t+{B}_{2}{t}^{2}+{B}_{3}{t}^{3}+{B}_{4}{t}^{4}+{B}_{5}{t}^{5}\)
|
Parameters
|
J0
|
A1
|
A2
|
A3
|
A4
|
A5
|
|
NH4-N
|
-0.993
|
-2.895
|
0.870
|
-0.077
|
0.003
|
-3.453×10− 5
|
|
NO3-N
|
0.935
|
0.703
|
-0.181
|
0.016
|
-5.699×10− 4
|
7.361×10− 6
|
|
Parameters
|
B1
|
B2
|
B3
|
B4
|
B5
|
R2
|
|
NH4-N
|
-1.128
|
0.246
|
-0.028
|
0.002
|
-3.338×10− 5
|
0.966
|
|
NO3-N
|
-0.589
|
0.167
|
-0.023
|
0.001
|
-3.375×10− 5
|
0.876
|
|
Equation
|
\(\stackrel{-}{J}={J}_{0}+A/\left\{\left[1+{\left(\frac{T-{a}_{1}}{{b}_{1}}\right)}^{2}\right]\left[1+{\left(\frac{t-{a}_{2}}{{b}_{2}}\right)}^{2}\right]\right\}\)
|
Parameters
|
J0
|
A
|
a1
|
b1
|
a2
|
b2
|
R2
|
NO2-N
|
4.563
|
-91.073
|
26.823
|
3.629
|
10.871
|
5.474
|
0.890
|
Table 3 shows that the average diffusive flux of NH4-N at 10℃ is 2.044 mg·m− 2·d− 1, 2.6 times that at 30℃. The NO2-N flux of NO2-N increases rapidly from − 0.047 µg·m− 2·d− 1 at 10℃ to -40.684 µg·m− 2·d− 1 at 20℃, and reach the maximum of -49.862 µg·m− 2·d− 1 at 25℃ (positive means release from sediment into the water column). NO3-N and NO2-N have similar trends with a maximum value of 25℃. Ds increases with the temperature. Both NO3-N and NO2-N rise initially and then decrease, which indicates there is a threshold for diffusive flux between 20 and 30℃. From the daily flux in Fig. 5a, it is seen that NH4-N can stabilize at a greater level in the water column at 20℃, so the average flux is low.
Table 3
Average diffusive flux for nitrogenous compounds
Temperature (℃)
|
10
|
15
|
20
|
25
|
30
|
NH4-N (mg·m− 2·d− 1)
|
2.044
|
3.140
|
1.684
|
4.698
|
5.500
|
NO2-N (µg·m− 2·d− 1)
|
-0.047
|
-3.261
|
-40.684
|
-49.862
|
-32.451
|
NO3-N (mg·m− 2·d− 1)
|
-0.167
|
-0.318
|
-0.480
|
-0.983
|
-0.430
|
3.4 Correlation between every two indicators
In addition to temperature, environmental indicators affected by temperature also have secondary effects on the presence of N pollutants in the water column and pore water. The correlation between environmental factors and forms of N with depth is shown in Fig. 7. The same index is divided into three parts at depths: water column (WC), shallow sediment (SS, 0 ~ 3 cm below SWI), and deep sediment (DS, 5 ~ 7 cm below SWI). The absolute value of r was categorized into four groups: negligible correlation (r < 0.30), low correlation (0.30 < r < 0.50), moderate correlation (0.50 < r < 0.70), and high correlation (r > 0.70).
Based on the Pearson correlation analysis, the temperature is significantly related to NH4-N (p < 0.01), NO2-N (p < 0.01), and NO3-N (p < 0.05) in the water column, but only shows a low correlation. For the N in sediment, only NH4-N and DIN relate to temperature, the temperature has little effect on NO2-N and NO3-N in sediment due to the lack of oxygen. As the main factor of nitrification, DO is related to NH4-N and NO2-N in shallow sediment and water column.
Unlike other environmental factors, pH has a more significant impact on NH4-N (p < 0.01), NO2-N (p < 0.05), NO3-N (p < 0.01), and DIN (p < 0.001) in deep sediment. pH shows a very significant correlation (p < 0.001) with NH4-N and DIN in the water column, since pH is not controlled in this experiment, and pH ranged from 6.8 to 7.9, it appears that under weak alkaline conditions, the pH value of the water column has some influence on N release from sediment and the maintenance of NH4-N.
There is also a correlation between forms of N with depth. Normal distributions of N are shown in Fig. 8, they are arranged by depth (vertical) and conversion relationship (horizontal, NH4-N to NO2-N to NO3-N). The correlation between NO2-N and NO3-N is high at all depths, and there is also a significant correlation between the vertical distribution of the same indicator. The vertical correlation between the same substance was different, NH4-N only had a low correlation (p < 0.05, r: 0.2 ~ 0.4). NO2-N and NO3-N in the water column and pore water at different depths originating from longitudinal physical diffusion and chemical transformation, and had a relatively stable correlation with each other. NH4-N, however, is not only just involved in the internal diffusion transformation process of water bodies (including water column and pore water). At the same time, NH4-N in the sediment dissolved and diffused into the pore water and participate in the nitrogen cycle in water, making it hard to have a strong vertical correlation, and only has low correlations with NO2-N.