Introduction

In recent decades, nitrogen loading to terrestrial ecosystems has continued to increase globally due to NOx emissions from fossil fuel combustion and ammonia (NH4+) and nitrate (NO3) pollutions from chemical fertilizer production (Galloway et al. 2008). Nitrogen compounds exported from terrestrial ecosystems to water bodies, such as lakes and coastal areas, through rivers can lead to eutrophication and greenhouse gas emissions in aquatic ecosystems (Anderson et al. 2002; McCrackin and Elser 2010). Therefore, to manage aquatic environments, it is necessary to elucidate the processes of nitrogen export from terrestrial to aquatic ecosystems on the watershed scale.

Recently, the stable isotope ratios of nitrogen and oxygen in NO315N–NO3 and δ18O–NO3) have been used to explore the dynamics and origin of NO3 in watersheds. The main nitrogen compound transported through watersheds is NO3, and the δ15N–NO3 and δ18O–NO3 values vary depending on the origin, production, and consumption processes of NO3 (Kendall et al. 2007). Therefore, δ15N–NO3 and δ18O–NO3 have been used globally to study the origin and dynamics of NO3 exported through rivers from watersheds with various NO3 sources, such as forests, agricultural land, and urban areas (Nakamura et al. 2011; Ohte et al. 2010; Sugimoto et al. 2019; Tabayashi et al. 2017) as well as the origin and dynamics of NO3 in groundwater (Hosono et al. 2013; Nakagawa et al. 2017; Nishikiori et al. 2012; Yoshimoto et al. 2011). Those studies reported a very strong influence of the land use type in watersheds on both the NO3 concentration in groundwater and the NO3 discharged from the watersheds. NO3 concentrations are high in watersheds with larger proportions of urban and agricultural areas, which load large amounts of NO3 derived from anthropogenic sources such as sewage treatment plant discharges and agricultural wastewater.

Most studies using δ15N–NO3 and δ18O–NO3 to investigate NO3 exported from watersheds through rivers were conducted under base flow conditions. Few studies used δ15N–NO3 and δ18O–NO3 during rainfall to estimate NO3 origin exported from watersheds and then compare the results with those obtained under base flow conditions. Studies using δ15N–NO3 and δ18O–NO3 to investigate NO3 origin exported from watersheds through rivers following rainfall events are particularly lacking in Japan. Although each rainfall event occurs during a short period of time, its role in determining the process and amount of NO3 export from a watershed must be considered, given that it may increase water flow by an order-of-magnitude higher than base flow. Moreover, many Japanese rivers are located in a mountainous orogenic belt with steep terrain in the Asian monsoon region, which has heavy summer precipitation. The effect of rainfall on annual nitrogen exports may therefore relatively large. For example, in a study of the Yasu and Hino Rivers, which are major rivers flowing into Lake Biwa in Shiga Prefecture, Okubo (2007) reported that 54.3% and 82.7% of annual dissolved nitrogen exports in the Hino River and Yasu River, respectively, occurred during rainfall. Chiwa et al. (2010) calculated annual nitrogen flux in a forested watershed in Japan using the LQ equation and determined that > 80% of the annual inorganic nitrogen flux was exported during rainfall events.

Changes in the amount, intensity, and timing of precipitation attributable to climate change have been observed on a global scale (Trenberth 2011; Westra et al. 2014). In southern Shiga Prefecture, where this study was conducted, annual precipitation and maximum daily precipitation for 2010–2020 were higher than the 50-year averages for the period 1970–2020 (Katsuyama et al. 2021). It is therefore becoming increasingly important to determine the effect of rainfall on nitrogen exports from watersheds.

Studies of NO3 dynamics in watersheds using stable isotope ratios require isotopic information related to the NO3 sources in watersheds, such as the δ15N value of NO3 in treated sewage waters, agricultural drainages, and forest streams, but few stable isotope ratio measurements are available for NO3 sources in Japanese watersheds, and further data are needed. For example, the δ15N–NO3 values in sewage effluent fluctuate widely and may be affected by sewage treatment methods and the associated NO3 removal efficiency (Onodera et al. 2021).

In this study, we measured the δ15N–NO3 and δ18O–NO3 values in a forest stream as well as in paddy field drainage and treated sewage. All three are considered to be the major nitrogen sources in the Yasu River watershed in southern Shiga Prefecture. In addition, the δ15N–NO3 and δ18O–NO3 values in river water collected from the Yasu River under baseflow conditions and during rainfall events were measured to determine the origin and dynamics of NO3 exported from the watershed and the effect of rainfall events thereon. In previous studies, δ15N–NO3 and δ18O–NO3 in the Yasu River were measured at 19 sites, from upstream to downstream, under baseflow conditions. NO3 concentrations and δ15N–NO3 values were shown to be low in the upper reaches of the river and high in the middle and lower reaches, where agricultural (paddy fields) and urban land uses are dominant. These results suggested that the origin of NO3 in the middle and lower reaches of the Yasu River is NO3 with high δ15N–NO3 values discharged from paddy fields and sewage treatment plants (Ohte et al. 2010).

Methods

Study site

This study was conducted in the Yasu River watershed (watershed area = 387 km2, river length = 65.25 km), which is the largest tributary system of Lake Biwa in central Japan (Fig. 1). It originates from Mt. Gozaisyo at an elevation of 1213 m and flows out to the lake basin at an elevation of 85 m. The mean annual precipitation and mean annual temperature from 2013 to 2016 at the Tsuchiyama meteorological station (34°56.3′ N, 136°16.7′ E) of the Japan Meteorological Agency (JMA) near the center of the Yasu River watershed were 1644 mm and 13.6 °C, respectively. In the Yasu River, forest accounts for 55.3% of its watershed area, rice paddy 21.6%, urban 11.1%, cropland 2.1%, water body 1.8%, and other 8.2%. Further details of the Yasu River watershed can be found in Ishida et al. (2019) and Osaka et al. (2022).

Fig. 1
figure 1

a, b Location of the study sites. The blue line in b represents the boundary of the Yasu River watershed in Shiga Prefecture, Japan. c Map showing land uses in the Yasu River watershed. Solid triangles indicate forested stream water sampling sites, open squares paddy drainage water sampling sites, solid diamonds treated sewage drainage water sampling sites, and open circles river water sampling sites. The solid symbols are the locations where open-access data were collected. The figure was modified from Osaka et al. (2022)

Sampling design

In this study, stream water discharged from forests at three sites (F1–3), drainage water discharged from paddy field areas at four sites (P1–4), treated water discharged from a sewage treatment plant at four sites (S1–4), river water from the mainstream of the Yasu River at three sites (R1, 2, and 4), and river water from the Soma River, a tributary of the Yasu River, at one site (R1’) were collected in the Yasu River watershed on 7 June, 17 July, 20 August, 27 September, 30 October, and 29 November, 2018. On 17 July, 20 August, 30 October, and 29 November there were no rainfall events > 4.0 mm within 3 days before sampling, but on 7 June there was 77.5 mm of rainfall just prior to sampling (1:00–6:00 on 7 June), and on 27 September there was 47.0 mm of rainfall just prior to sampling (from 14:00 on 26 September to 8:00 on 27 September). On November 29, there was a weak evening shower at the last sampling point (F2). At the sewage treatment plants, treatment at S1, S3, and S4 consistent of the suspended microorganism method and batch-activated sludge method, while treatment at S2 was by the suspended microorganism method and contact aeration method. The maximum planned volume of sewage treatment for S1, S2, S3, and S4 are 150, 144, 285, and 1,840 m3/day, respectively. Forested stream water, paddy field drainage, and treated sewage water were collected with a dipper, while river water was collected by dropping a bucket tied with a string from a bridge. Water sampling was conducted once a month from June to November 2018. However, treated sewage and paddy field drainage were sometimes not collected due to the lack of drainage.

In addition to the regular water sampling described above, river water was sampled during rainfall events at R3 (Fig. 1) in the mainstem of the Yasu River on two occasions during this study. A total of 39 river water samples were collected at 2- to 24-h intervals during a rainfall event from 24 to 31 October 2013 (total precipitation 43 mm); 38 samples were collected at 1- to 24-h intervals during a rainfall event from 29 August to 3 September 2016 (total precipitation = 97 mm). Samples were collected using automatic water samplers (models 6712 and 3700; Teleydene ISCO, USA). The collected water samples were placed in polypropylene bottles and returned to the laboratory in refrigerated cooler boxes.

Chemical analysis

Water samples brought back to the laboratory were filtered through a cellulose acetate membrane filter with a pore size of 0.45 μm (C045A047A, ADVANTEC, Japan) on the same day, and the filtrates were frozen in polypropylene bottles at –24 °C. The NO3 concentrations were determined by ion chromatography (Integrion; Thermo Fisher Scientific, USA). NO3 was reduced to N2O using a denitrification technique (Casciotti et al. 2002; Sigman et al. 2001), and the nitrogen and oxygen stable isotope ratios of NO3 were determined by a gas chromatography combustion isotope ratio mass spectrometry (GC/C/IRMS: Hydra20-20, Sercon, UK) with gas purification and concentration (cryoPREP, Sercon, UK).

Isotope analyses in this study were run simultaneously with the international standards USGS32 (δ15N: 180‰, δ18O: 25.7‰), USGS34 (δ15N: –1.8‰, δ18O: –27.9‰), USGS35 (δ15N: 2.7‰, δ18O: 57.5‰), and IAEA-NO-3 (δ15N: 4.7‰, δ18O: 25.6‰). By analyzing these standards simultaneously with the samples, we calculated the δ15N and δ18O values of NO3 from the measured δ15N and δ18O of N2O. For δ18O, the values change largely during the reduction of NO3 to N2O (Casciotti et al. 2007), but we could correct this by measuring the international standards described above.

USGS35 is exceptionally high in δ17O (51.5‰), so a few 14N14N17O is formed when it is reduced from NO3 to N2O. Since 14N14N17O has the same mass (44) as 15N14N16O and 14N15N16O, the measurement value of δ15N of USGS35 may be higher than the actual value due to 14N14N17O contamination. Therefore, USGS35 was not used for the δ15N correction. The standard deviations (SDs) with sample size in parenthesis for repeated measurements of δ15N–NO3 for the standards USGS32, USGS34, and IAEA-NO-3, which were analyzed repeatedly in this study, were 0.4‰ (28), 0.2‰ (28), and 0.2‰ (26), respectively. The SDs (sample size) for repeated measurements of δ18O–NO3 for the standards USGS32, USGS34, USGS35, and IAEA-NO-3 were 0.8‰ (28), 0.7‰ (28), 0.9‰ (26), and 0.6‰ (26), respectively.

Data analysis

We used the median as representative value for each monitoring data set. Each data set was compared using the Dwass-Steel-Critchlow-Fligner (DSCF) test, a nonparametric multiple comparison test, because some of our data sets did not fit a normal distribution. The statistical software jamovi was used for these calculations.

Isotope mixing model

In this study, we used the same simple mixing model as Langmuir et al. (1978) based on NO3 concentration and δ15N–NO3 in the water [Eqs. (1) and (2)]. Two sources, water A, with a NO3 concentration of a mgN/L and a δ15N–NO3 value of α‰, and water B, with a NO3 concentration of b mgN/L and a δ15N–NO3 value of β‰, were mixed at mixing ratio r (0 ≤ r ≤ 1), where r is the proportion of environmental water A to mixed water C. The NO3 concentration c mgN/L and the δ15N–NO3 χ‰ of mixed water C can be expressed as shown in Eqs. (1) and (2):

$$c = a \, r + b\left( {{1}{-}r} \right)$$
(1)
$$\chi = \{ \alpha ar + \beta b\left( {{1}{-}r} \right)\} /\{ a \, r + b\left( {{1}{-}r} \right)\}$$
(2)

For example, when three different NO3 sources (1–3) are mixed as shown in Fig. 2, the NO3 concentration and the δ15N–NO3 value of the mixture are expected to fall within the mixing lines between two of the three NO3 sources.

Fig. 2
figure 2

The isotope mixing model in this study. When three different NO3 sources (1–3) are mixed, the NO3 concentration and δ15N–NO3 of the mixture are expected to fall within mixing lines 1, 2, and 3. The mixing lines can be calculated using Eqs. (1) and (2)

Public data used in this study

In addition to the data obtained by sampling and chemical analysis, we also used the data on water level monitored at Yokota Bridge, which was publicly available from the Shiga Prefecture through the Civil Engineering Disaster Prevention Information System (Shiga Prefecture 2023). Water quality data were obtained from Ishibe Wier Observatory, being provided by the Ministry of Land, Infrastructure, Transport and Tourism (MLIT) through its Hydrologic and Hydrochemical Quality Database (MLIT 2023a). Rainfall data were obtained from Tsuchiyama Observatory, being published by the JMA via its website (JMA 2023). Discharge data were obtained from Ooduchi Dam, being published by the MLIT on its database of dam discharge (MLIT 2023b).

Results

NO3 concentrations and δ15N–NO3 and δ18O–NO3 values of major NO3 sources in the Yasu River watershed

Figure 3 shows the spatial distribution of NO3 concentrations, and δ15N–NO3 and δ18O–NO3 values in the potential sources and river waters in the Yasu River watershed. For forest streams, paddy field drainages, and treated sewage waters, median NO3 concentrations were 0.35, 1.15, and 1.77 mgN/L, and their median δ15N–NO3values –0.8, 8.2, and 25.6‰, respectively. The median δ18O–NO3 in the forest streams, paddy field drainages, and treated sewage waters were –0.5, 1.2, and 3.1‰, respectively. The NO3 concentrations and δ15N–NO3 and δ18O–NO3 values showed no clear seasonal variations. Multiple comparisons using the Dwass-Steel-Critchlow-Fligner (DSCF) test showed that the NO3 concentrations were significantly different between the forest streams and paddy field drainages (p < 0.01), and between the forest streams and treated sewage waters (p < 0.001). The δ15N–NO3 values were significantly different among all nitrogen sources (p < 0.001), and the δ18O–NO3 values were significantly different between the forest streams and treated sewage waters (p < 0.05).

Fig. 3
figure 3

Spatial distribution of the a NO3 concentrations, b δ15N–NO3 values, and c δ18O–NO3 values in potential NO3 sources and river waters in the Yasu River watershed. Red circles are measured values

The median NO3 concentrations for river waters were 0.39 mgN/L, which was lower than that of paddy field drainages (p < 0.005) and treated sewage waters (p < 0.001). The median of δ15N–NO3 and δ18O–NO3 values for river waters were 7.1 and 1.2‰, respectively.

Temporal variation of NO3 concentrations and δ15N–NO3 and δ18O–NO3 values in the Yasu River

Figure 4 shows the temporal variations of NO3 concentrations, and the δ15N–NO3 and δ18O–NO3 values, at sites R1', R1, R2, and R4 in the Yasu River in 2018. On 7 June and 27 September, precipitation occurred just before water sampling. The NO3 concentrations in the Yasu River were lower from July to August (summer) than in other seasons at all sites. The lowest NO3 concentration in August (0.08 mgN/L) was found at the most downstream site, R4. In contrast to the NO3 concentrations, there was no clear seasonal variation in the δ15N–NO3 values, which were low on 7 June and 27 September, when precipitation occurred immediately before water sampling. On 7 June and 27 September, the median δ15N–NO3 values were 5.0 and 5.3‰, respectively, while the median δ15N–NO3 value on the other sampling dates was 7.2‰. In contrast to the NO3 concentrations, there were no clear seasonal variations in δ18O–NO3. Also, in contrast to δ15N–NO3, δ18O–NO3 did not greatly vary even when rainfall occurred immediately before sampling. River water levels dropped sharply after October, but there were no clear relationships among the NO3 concentrations, δ15N–NO3 values, δ18O–NO3 values, and river water levels.

Fig. 4
figure 4

Temporal variation of the a NO3 concentration, b δ15N–NO3 value, and c δ18O–NO3 value in the Yasu River. The blue line represents the water level at Yokota Bridge

Figure 5 shows the NO3 concentrations monitored at Ishibe Wier Observatory in the Yasu River by MLIT from 2013 to 2018, the water discharge from Ooduchi Dam, the water level of the Yasu River at Yokota Bridge monitored by Shiga Prefecture, and the precipitation at Tsuchiyama monitored by the JMA. Lower NO3 concentrations in the Yasu River were observed every summer, suggesting that the summer decrease in NO3concentration observed in this study was the seasonal pattern characteristic to the Yasu River.

Fig. 5
figure 5

Precipitation at Tsuchiyama in the Yasu River watershed, water level at Yokota Bridge on the Yasu River, water discharge from Ooduchi Dam (upstream of the Yasu River), and temporal variation of the NO3 concentration at Ishibe Wier Observatory in the Yasu River

Fluctuations in the NO3 concentrations and δ15N–NO3 and δ18O–NO3 values in the Yasu River during rainfall

Figure 6 shows the fluctuations of NO3 concentrations and δ15N–NO3 and δ18O–NO3 values during October 2013 and August 2016. During the rainfall event in October 2013, the NO3 concentration before the rainfall was 0.87 mgN/L, while the NO3 concentration decreased to 0.57 mgN/L as the river discharge rate increased. In August 2016, in contrast, the NO3 concentration was 0.26 mgN/L before the rainfall event but it increased to 0.69 mgN/L as the river discharge rate increased. While the fluctuations of the NO3 concentrations differed during the studied rainfall events, the δ15N–NO3 value followed similar trends, decreasing from 6.4 to 2.3‰ with the increasing river discharge rate during the October 2013 rainfall event and from 6.2 to 2.8‰ with the increasing river discharge rate during the August 2016 rainfall event.

Fig. 6
figure 6

Temporal variations of NO3 concentrations, δ15N–NO3 and δ18O–NO3 values, and discharge at site R3 in the Yasu River during rainfall events in October 2013 (a) and August–September 2016 (b)

Discussion

δ15N values of the major NO3 sources within the Yasu River watershed

The narrow range of variability of the δ15N–NO3 values in the forest stream and paddy field drainage measured in this study was similar to previously reported measurements in Japan (Table 1). Compared with previously reported NO3 sources in the watershed (e.g., Kendall et al. 2007), NO3 in the forest streams in this study may be derived from nitrification in the soil, and the NO3 in the paddy field drainages from organic fertilizers. However, weakly positive relationships were found between δ15N–NO3 and δ18O–NO3 in the forest streams and paddy drainages (Fig. 7). During denitrification, δ15N–NO3 and δ18O–NO3 values increase simultaneously (Kendall et al. 2007; Osaka et al. 2018), suggesting that denitrification was responsible for the variation in the δ15N–NO3 values in the forest streams and paddy field drainages.

Table 1 Nitrogen and oxygen stable isotope ratios of NO3 exported from treated sewage waters (a), forest streams (b), and rice paddy fields (c) in Japan
Fig. 7
figure 7

Relationships between δ15N–NO3 and δ18O–NO3 in forest streams, paddy field drainages, and treated sewage waters. In a forest stream, one sample with a very high δ18O–NO3 value was collected an evening shower event, so that its data were excluded from the regression analysis

The δ15N–NO3 values in treated sewage waters were much more variable than those in the forest streams and paddy field drainages, and their median values were slightly higher than previously reported values (Table 1). Arai and Tase (1992) measured treated sewage water flowing into the Tamagawa Jousui Channel and reported that δ15N–NO3 tended to increase as the NO3 concentration in the treated sewage water decreased. Onodera et al. (2021) also reported that in sewage treatment plants where advanced treatment technologies were applied, the δ15N–NO3 and δ18O–NO3 values of wastewater were higher when the NO3 removal efficiency was high. These results were considered reasonable because denitrification in the sewage treatment process would lower NO3 concentrations in the treated sewage water and increase the δ15N–NO3 value.

However, the results of our study slightly differed from those in the above studies. There was no clear and consistent relationship between NO3 concentrations and δ15N–NO3 values in the treated sewage waters (Fig. 8). However, the variations in δ15N–NO3 values were larger in treated sewage waters with low NO3 concentrations than in treated sewage waters with high NO3 concentrations. NO3 generated by nitrification has a lower δ15N value than the δ15N value of NH4+, the substrate for nitrification (Kendall et al. 2007), and the δ15N value of NO3 produced solely by nitrification is typically lower than the δ15N value of the environmental NO3 pool (e.g., Osaka et al. 2010). One possible reason for the high variation in δ15N–NO3 values in the treated sewage waters with low NO3 concentrations in this study is that efficient denitrification occurred during the sewage treatment process, increasing the δ15N–NO3 value. Alternatively, the low NO3 concentrations may have been strongly influenced by NO3 that was newly produced by nitrification and therefore had relatively low δ15N values. Consequently, when the NO3 concentrations in treated sewage waters were low, the δ15N–NO3 values may have been strongly affected by the balance between NO3 production and consumption. The lack of a clear relationship between δ15N–NO3 and δ18O–NO3 in treated sewage waters in this study (Fig. 7) also suggests that NO3 source isotope signatures were not solely determined by denitrification. However, further data are necessary to discuss in detail because of lack of data on δ15N–NO3 in treated sewage waters.

Fig. 8
figure 8

Relationship between NO3 concentrations and δ15N–NO3 in treated sewage waters

NO3 sources and temporal variation in the concentration of NO3 discharged from the Yasu River watershed under baseflow conditions

From the monthly water sampling results, the δ15N–NO3 values on 7 June and 27 September, when there was rainfall prior to sampling, were lower than those on other days when there was no rainfall prior to sampling (Fig. 4). This suggested that during rainfall, some NO3 was exported from sources different from that of the NO3 exported under baseflow conditions. The median δ15N–NO3 value on the sampling days without rainfall was 7.2‰, which was similar to the value of δ15N–NO3 in the middle and lower reaches of the Yasu River reported by Ohte et al. (2010). Ohte et al. (2010) found that NO3 concentrations and δ15N–NO3 values were low in the upper reaches of the Yasu River, and simultaneously high in the middle and lower reaches, surrounded by more agricultural land (paddy fields) and urban areas. This indicated that the NO3 in the middle and lower reaches of the Yasu River originated from rice paddies and treated sewage waters with high δ15N–NO3 values. The δ15N–NO3 values in the Yasu River under baseflow conditions in this study were similar to those reported by Ohte et al. (2010), implying that the NO3 sources under baseflow conditions were mainly paddy fields and treated sewage waters. In addition, the δ18O–NO3 value in the Yasu River under baseflow conditions was much lower than that from atmospheric deposition (Fig. 4), which ranged from 47.0‰ to 86.5‰ with the average of 71.4‰, measured at Ab-S, the forest site in the Yasu River watershed (Osaka et al. 2016). Therefore, the contribution of atmospheric deposition to the NO3 discharge from the Yasu River under baseflow conditions was not considered significant.

The NO3 concentration in the Yasu River under baseflow conditions tended to vary depending on the season, with lower concentrations in summer than in the other seasons (Fig. 4). To elucidate the process responsible for the seasonal variation in NO3 concentrations, as shown in Fig. 9a, the median NO3 concentrations and δ15N–NO3 values determined for the forest stream, paddy drainage, and treated sewage water were used to calculate the possible range of NO3 concentrations and δ15N–NO3 values in a mixture of these NO3 sources. The results showed that the NO3 concentrations in the Yasu River, especially during the summer months, are lower than when forest stream water, agricultural drainage, and treated sewage water are mixed together. The solid orange line in Fig. 9a shows the relationship between the NO3 concentration and δ15N–NO3 value obtained in a mixture of forested streams and treated sewage water, as determined from the respective median NO3 concentrations and δ15N–NO3 values. Similarly, the solid green line in Fig. 9a shows the relationship between the NO3 concentration and δ15N–NO3 value following the mixing of forested stream water and paddy field drainage, as determined from the respective median NO3 concentrations and δ15N–NO3 values. Therefore, assuming that the concentrations and δ15N of NO3 exported from the Yasu River reflected a mixture of NO3 exported from the forested stream, paddy field drainage, and treated sewage water, the values in the Yasu River were in the gray area between the solid orange and green lines of Fig. 9a. However, especially in summer, NO3 concentrations were low in the Yasu River under baseflow conditions and were outside the area between those lines (Fig. 9a).

Fig. 9
figure 9

Relationships between the NO3 concentration and δ15N–NO3 value in Yasu River at monthly sampling. Yellow symbols indicate samples from sites where rainfall occurred immediately prior to water sampling. Blue symbols indicate samples taken under baseflow conditions. The orange line shows a relationship between the NO3 concentration and δ15N–NO3 value when the treated sewage water and forest stream are mixed. The green line shows a relationship between the NO3 concentration and δ15N–NO3 value when the paddy field drainage and forested stream water are mixed. The blue line shows the relationship between the NO3 concentration and δ15N–NO3 value when paddy field drainage and treated sewage water are mixed. However, since both paddy field drainages and treated sewage waters have high NO3 concentrations and δ15N–NO3, the blue line is outside the range of the figures, except for the panel b. The solid lines (SF1 and PF1) are the value calculated from the median NO3 concentration and δ15N–NO3 value of treated sewage waters, paddy field drainages, and forested stream waters obtained in this study. The dotted lines (SF2–4, PF2–3, and SP1, 2) are the values calculated assuming that treated sewage waters, paddy field drainages, and forested stream waters have lower NO3 concentrations than those obtained in this study. Each line was calculated using the parameters in Table 2, using Eqs. (1) and (2). a The line calculated from the median NO3 and δ15N–NO3 concentrations of forest water, treated sewage water, and paddy drainage. b Mixing lines assuming lower NO3 concentrations in paddy drainages than our observations. c Mixing lines assuming lower NO3 concentrations in treated sewage waters than our observations. d T Mixing lines assuming lower NO3 concentrations in forest streams than our observations. If forest water, treated sewage water, and paddy drainage are mixed according to ad, the NO3 concentrations and δ15N–NO3 values of the water after mixing would fall within the gray area

The possible reasons for this are as follows: (i) the actual concentrations of NO3 exported from each NO3 source in the Yasu River watershed during the summer months were lower than the median NO3 concentrations in a forest streams, paddy field drainages, and treated sewage waters determined in this study; (ii) NO3 was consumed in the Yasu River (e.g., NO3 uptake by attached algae and bacteria and denitrification); and (iii) dilution by groundwater with reduced NO3 concentrations due to denitrification and microbial uptake. To test the first possibility, the mixing model in Fig. 9a was recalculated at NO3 concentrations lower than the median NO3 concentrations measured in the forested stream waters, paddy drainages, and treated sewage waters, as shown in Fig. 9b–d. Figure 9b shows the median NO3 concentrations calculated based on a change from 1.16 mgN/L (PF1) to 0.50 mgN/L (PF2 and SP1) and 0.30 mgN/L (PF3 and SP2) in the paddy field drainage. Figure 9c shows the median NO3 concentrations calculated based on a change from 2.12 mgN/L (SF1) to 1.00 mgN/L (SF2) and 0.50 mgN/L (SF3) in the treated sewage water. Figure 9d shows the median NO3 concentrations calculated based on a change from 0.35 mgN/L (PF1 and SF1) to 0.20 mgN/L (PF4 and SF4) in forested stream water. The results show that the simple mixing model does not explain the low summer NO3 concentrations in the Yasu River, even assuming NO3 concentrations much lower than the median NO3 concentrations in the forested streams, paddy field drainages, and treated sewage waters measured in this study.

Therefore, the low summer NO3 concentrations in the Yasu River were most likely due to NO3 consumption (e.g., NO3 uptake by attached algae and bacteria and denitrification) in the Yasu River or dilution by groundwater with a reduced NO3 concentration due to denitrification and microbial uptake. In other words, NO3 exported from the Yasu River watershed may be more strongly influenced by NO3 consumption in rivers and groundwater under the baseflow condition in summer than in other seasons. The lowest NO3 concentrations and highest δ15N–NO3 values were found in the most downstream sample site (R4) in August, when Yasu River NO3 concentrations were lowest (Fig. 4); this can be explained by NO3 consumption and associated isotopic fractionation during NO3 export processes.

The decrease in NO3 concentrations during the summer months was not limited to 2018, when our study was conducted, but occurs in most years in the Yasu River (Fig. 5). During the summer, water temperatures and solar radiation are high. This is thought to explain why algae and microbes in the river water are more active, and NO3 removal during the river discharge process is more intense than in other seasons. The relative contributions of NO3 consumption in the river and in groundwater need to be clarified in future studies.

The sources of NO3 exported from the Yasu River watershed during rainfall events

In the two rainfall events that occurred during the different seasons in this study, the NO3 concentrations differed in their temporal trends, while δ15N–NO3 values followed a similar trend (Fig. 6). These results suggested that the sources of NO3 exported from the watershed differed between baseflow water and rainfall events in both summer and autumn, resulting in seasonal variation in the concentration of NO3 exported from the Yasu River. During the October 2013 rainfall event, the NO3 concentration decreased to 0.57 mgN/L and the δ15N–NO3 value to 2.3‰ as the river discharge increased (Fig. 6), suggesting that water with lower NO3 concentrations and δ15N–NO3 values contributed to Yasu River water (blue area in Fig. 10). In constant, the NO3 concentration increased to 0.69 mgN/L and the δ15N–NO3 concentration decreased to 2.8‰ during a rainfall event in August 2016 (Fig. 6), suggesting that water with NO3 concentrations > 0.69 mgN/L and δ15N–NO3 values < 2.8‰ contributed to the Yasu River (yellow area in Fig. 10). The δ18O–NO3 value was lower than the value of NO3 attributed to atmospheric deposition (average: 71.4‰; Osaka et al. 2016) during the rainfall events in October 2013 and August 2016, such that the contribution of NO3 from atmospheric deposition to NO3 export from the Yasu River during these two rainfall events was considered very small.

Fig. 10
figure 10

Relationship between NO3 concentrations and δ15N–NO3 values during rainfall events at site R3 in the Yasu River. Blue plots are data for October 2013, and yellow data for August 2016. Gray arrows represent the time sequence from the start of the rainfall to the peak flow. Blue square area shows the range of NO3 concentrations and δ15N–NO3 values of sources that may have flowed into the river water during the increased flow of the October 2013 rainfall event. Yellow square area shows the range of NO3 concentrations and δ15N–NO3 values for sources that may have flowed into the river water during the August 2016 rainfall flow

The median δ15N values of NO3 from the major nitrogen sources in the Yasu River watershed was –0.8‰ in the forest stream, 8.2‰in paddy field drainage, and 25.6‰ in treated sewage water (Fig. 3; Table 1). Assuming that the δ15N value of NO3 exported from each nitrogen source does not vary significantly between baseflow and rainfall events, the δ15N values of NO3 exported from the watershed during rainfall would have been lower than that of treated sewage water and paddy field drainage, suggesting an increased contribution of NO3 from the forest stream to the NO3 exported from this watershed during rainfall. The median NO3 concentration in the studied forest streams under baseflow conditions was 0.35 mg/L and the peak NO3 concentrations during the rainfall in 2016 was 0.69 mgN/L. In addition, NO3 concentrations were always higher than 0.57 mgN/L during rainfall in 2013. This suggests that forest-derived NO3 with a low δ15N is exported at higher concentrations during rainfall than under baseflow conditions.

Table 2 The parameters calculated for each mixing line in Fig. 9

NO3 concentrations in forested streams during rainfall events are characterized by complex temporal pattern, in which NO3 concentrations increase in some cases and decrease in other cases depending on the timing of rainfall (Creed and Band 1998; Katsuyama et al. 1998; Muraoka and Hirata 1988; Osaka et al. 2016; Shinomiya et al. 2006; Yamada et al. 1999). In a forested watershed in the upper Yasu River basin, for example, Osaka et al. (2016) found that the NO3 concentrations in stream water over 6 years were within the range of 0.08–1.68 mgN/L, including during rainfall events with a tendency of higher NO3 concentrations. Katsuyama et al. (1998) conducted three rainfall studies during summer rainfall and reported that NO3 concentrations increased during some rainfall events and decreased during others. These studies included a detailed analysis of the NO3 exported from forested watersheds and a high temporal resolution, but they focused on relatively small watersheds and thus had a high spatial heterogeneity. The higher NO3 concentrations during rainfall than under baseflow conditions in a forest stream of the large watershed investigated in this study imply that forest NO3 export responses to rainfall vary among forests but, on average, NO3 concentrations in forested streams increase during rainfall.

In Japan, which has an Asian monsoon climate, summer rainfall has a higher nitrogen export per unit water discharge rate than rainfall of a similar magnitude in other seasons because of the higher NO3 production rate by nitrification in the soil during the hot and wet summer months (Osaka et al. 2023; Shinomiya et al. 2006). The higher forest-derived NO3 concentrations during August rainfall than during October rainfall, as found in this study, are consistent with the previous findings. The difference in variability of the NO3 concentration between the two rainfall events in this study may have been due to the higher concentrations of NO3 exported from the forest during the August rainfall event than during the October rainfall event. This finding suggest that such a trend is not limited to the small watersheds reported by Osaka et al. (2023) and Shinomiya et al. (2006) and is also possibly to many other forests.

Conclusions

Stable isotope ratios of NO3 are a powerful tool for investigating NO3 dynamics in watersheds. This is mainly due to the different δ15N values among potential NO3 sources in watersheds, but there is limited information regarding the δ15N values of NO3 sources in Japanese watersheds. Additionally, most of studies on NO3 sources in the watersheds of the world as well as of Japan, using δ15N have been conducted under baseflow conditions. The source information is also needed during rainfall, which is a crucial event for nitrogen exports to the downstream ecosystem.

In this study, we measured δ15N–NO3 exported from forests, paddy fields, and sewage treatment plants, which are major sources of NO3 in Japanese watersheds, and compared with the previous data reported in Japan. The δ15N values of NO3 exported from forests and rice paddies in this watershed were similar to those in the literature, and their fluctuations were small. Compared to these data, the range of δ15N–NO3 values in treated sewage waters was large, especially when the NO3 concentration was low. NO3 from treated sewage water has a much higher δ15N–NO3 value than NO3 from other sources in the watershed, which is essential information for identifying the sources of NO3 exported from the watershed.

The NO3 concentrations in the Yasu River under summer baseflow condition were lower than those for the mixed NO3 sources within the watershed, suggesting that NO3 consumption processes in river and groundwater reduced the concentrations. As shown in this study, in-river processes may have an important impact on NO3 concentrations in river water under baseflow conditions in Japan, but further research is needed.

The sources of NO3 exported from this watershed during rainfall events differed from those under baseflow conditions, and the contribution of NO3 exported from the forest was greater during rainfall events than under baseflow conditions. In our study, NO3 concentrations in the forested stream water during summer rainfall events were higher than those in forested stream water during rainfall in other seasons, consistent with previous studies in small watersheds in monsoon Asia. During rainfall events, river water discharge increases substantially, and the amount of NO3 discharged downstream is higher than under baseflow conditions. The fact that, in this study, NO3 sources and its export processes in the watershed differed between baseflow and rainfall events stresses the importance of intensive monitoring during rainfall events to understand the processes of NO3 export from the watershed.