2.1. Study area
As an important inlet to the East China Sea, Hangzhou Bay comprises 11 county-level administrative divisions with a total area of 4800 km2 (Sun et al. 2016). Hangzhou Bay is one of the most severely polluted coastal waters in China and was the location of 60% of the extreme red tide events (max area >100 km2) in China during 2020 (Ministry of Ecology and Environment, 2020). Climate is subtropical monsoon with an average annual temperature and precipitation of 15-25 oC and 1300-1600 mm, respectively (Zhou et al. 2020). The water year was separated into four hydrologically contrasting seasons: dry season (spring: March-May; winter: December-February) and wet season (summer: June-August, autumn: September-November). Over the past 60 years, tideland reclamation projects have spurred the development of aquaculture ponds in the area by 138% (Zhou et al. 2020; Qiu et al. 2021). The southern coast of Hangzhou Bay (area with red boundary, Fig. 1) has an aquaculture zone comprised of 572.9 km2 of ponds (accounting for ~12.0% of the total area). Major aquaculture species are fish, shrimp and crabs, with breeding areas of 9.1%, 26.2% and 42.2%, respectively (Ni et al. 2020).
The Cao’e River (CER) and Jiantang River (JTR) are two typical coastal rivers flowing into southern Hangzhou Bay. Aquaculture ponds averaged ~34% of the CER nearshore area (within 3 km of river channel, 72.77 km2), with developed lands and arable land contributing ~33% and ~24%, respectively. Primary land-use types in the JTR nearshore (accounting for 39.61 km2) were aquaculture ponds, arable land and developed lands, comprising 77%, 3% and 2%, respectively (Table 1). The major aquaculture species in CER and JTR were shrimp. Population density in the CER region was ~560 person km-2 and the JTR region has ~1300 person km-2. In the CER and JTR regions, multiple-year average precipitation is ~1600 mm and ~1800 mm, respectively, with 40%-45% of rainfall occurring in the summer season due to typhoon events (Fig. 2).
Table 1 Land-use distributions for Cao’E River (CER) and Jiantang River (JTR)
|
Total area
(km2)
|
A (%)
|
D (%)
|
G (%)
|
P (%)
|
Others (%)
|
CER
|
72.8
|
24.1
|
32.9
|
9.4
|
33.6
|
<0.1
|
JTR
|
39.6
|
3.2
|
1.6
|
<0.1
|
77.4
|
17.9
|
A-arable lands; D-developed lands; G-grasslands; P-aquaculture ponds
2.2. Field sampling and water quality and stable isotope analysis
We collected water samples from four sites (XS, CXF, CXW and PH, Fig. 1) around Hangzhou Bay for a total of 4 seasonal sampling events in 2019. Basic water quality indicators were measured, including total nitrogen (TN), total phosphorus (TP), ammonia (NH+ 4), nitrate (NO– 3), nitrite (NO– 2), dissolved organic carbon (DOC), chemical oxygen demand (COD), chlorophyll-a (Chl-a), pH, dissolved oxygen (DO) and transparency (Trans). Water samples for δ18O-NO– 3 and δ15N-NO– 3 analyses were collected seasonally in the CER and JTR from 2019 to 2020. Notably, water samples were only collected in summer (June) and autumn (September) in 2020 due to COVID-19 restrictions (i.e., water samples were collected in 6 seasons). Samples were collected uniformly at 3-5 points across the river channel and mixed to obtain a single depth-width integrated sample. All water samples were immediately sealed and stored in the dark at 4 oC.
The NO– 3-N, NO– 2-N and NH+ 4-N concentrations were measured after filtering through a sterile 0.45-μm Millipore polycarbonate membrane, whereas DOC was determined after filtering through a sterile 0.45-μm Millipore organic phase membrane. NH+ 4-N and NO– 3-N/ NO– 2-N were determined using the spectrophotometric salicylic acid and phenol disulfonic acid methods, respectively. DOC was measured with a Jena multi-N/C 3100 analyzer. TN concentrations were analyzed as NO– 3-N following alkaline potassium persulfate digestion. Transparency and chlorophyll-a (Chl-a) were measured by Secchi disk and chlorophyll-a fluorescence detector (FuloroQuik, AMI, USA), respectively. Temperature, pH and DO were measured in the field using YSI sensors (Xylem, New York, USA). All water samples were analyzed within 24 h of collection.
Water samples for δ15N-NO– 3 and δ18O-NO– 3 analyses were stored at -20 oC and subsequently transported to the Environmental Stable Isotope Lab (Chinese Academy of Agricultural Sciences, Beijing, China) for analysis. NO– 3 was converted to N2O by the denitrifier method (Christensen & Tiedje 1988), and then detected by a continuous-flow isotope ratio mass spectrometer (IRAM, Isoprime 100). Isotope ratio values are reported in parts per thousand (‰) relative to atmospheric N2 and Vienna Standard Mean Ocean Water (VSMOW) for δ15N-NO– 3 and δ18O-NO– 3, respectively (Xue et al., 2009). Sample analysis had an average precision of 0.31‰ for δ15N-NO– 3 and 0.55‰ for δ18O-NO– 3.
All stable isotope results were expressed as delta values by representing the deviations in per mil (‰) from the respective reference standard as follow:
δ(‰) = 1000 × (Rsample / Rstandard) – 1 (1)
where Rsample and Rstandard are the isotopic ratios (15N/14N, 18O/16O) for the sample and standard, respectively.
2.3. Trophic level index (TLI)
To assess the river eutrophication status, we calculated trophic level index (TLI) values based on measured water quality parameters (China Environmental Monitoring Station, 2001). TLI is a weighted sum based on correlations between Chl-a and various water quality parameters, and was calculated based on the concentrations of Chl-a, TP, TN, Trans and CODMn (Wang et al. 2019):

where Wj is the weight of each index parameter and TLI(j) is the calculated index based on each pollutant concentration; rij is the correlation coefficients between the reference Chl-a and each parameter j (Chl-a: 1, TP: 0.84, TN: 0.82, Trans: -0.83 and CODMn: 0.83), which were obtained from water survey data sets from China (Wang et al. 2019). TLI values range from 0 to 100 and characterize the eutrophication status based on five categories: oligotrophic (TLI<30), mesotrophic (30<TLI<50), low-eutrophic (50<TLI<60), moderately-eutrophic (60<TLI<70), and hyper-eutrophic (TLI>70) (Wang et al. 2019).
2.4. Nitrogen source identification methods
2.4.1 Absolute principal component score-multiple linear regression method
The absolute principal component score-multiple linear regression (APCS-MLR) method is derived from principal component analysis (PCA), and can be applied to identify pollutant sources (Yang et al. 2013a; Yuan et al. 2020). The overall PCA can be expressed as follow:

where Zij is the normalized value of element i concentration, gik represents the concentration of i in pollution source k (i.e., factor load), and hkj is the contribution of pollution source k to the sample j (i.e., factor score).
Based on the rotation factor loads and principal eigenvectors obtained by PCA, multiple linear regression (MLR) was performed using the absolute principal component score (APCS) and eigenvectors to calculate the contribution rates (Su et al., 2009). The PCA and APCS-MLR analyses were performed with SPSS software (Ver. 17.0, SPSS, IL, USA).
2.4.2 Dual nitrate (NO– 3) stable isotope method
The Bayesian tracer mixing model (e.g., SIAR) has been applied to identify contributions of multiple N sources in individual water bodies (Stock et al. 2018; Hu et al., 2019). In recent years, an inclusive, rich and flexible Bayesian tracer mixing model (i.e., MixSIAR) was further developed to include fixed and random effects as covariates explaining variability in mixture proportions (Stock et al. 2018; Liu & Han 2021). The MixSIAR (Ver. 3.0.2) was applied to apportion the contribution rates using R software (Ver. 4.0.3).
As MixSIAR needs pre-determination information for pollution sources, we adopted the results from APCS-MLR as the preliminary sources. Combining the field survey, land-use distribution and results from APCS-MLR (Table 1), this study apportioned riverine N to atmospheric deposition, soil N, aquaculture tailwater and domestic wastewater. Aquaculture tailwater and atmospheric deposition N isotope information were directly measured, while isotopic values for soil and domestic wastewater N were obtained from published values for a nearby watershed (Ji et al. 2017).
The principle of MixSIAR can be expressed by the following formula:

where Xij is the tracer of species j of sample i, p represents the number of assumed sources, fjk is the tracer value for species j in source k, gik denotes the contribution of source k to sample i, and eij is an error term.
All regression and correlation analyses were performed using SPSS (version 17.0, SPSS, IL, USA). One-way ANOVA with an LSD multiple comparisons test was used to examine the spatio-temporal variability of water quality parameters.