Journal cover Journal topic
Biogeosciences An interactive open-access journal of the European Geosciences Union
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Biogeosciences, 15, 6847–6865, 2018
https://doi.org/10.5194/bg-15-6847-2018
Biogeosciences, 15, 6847–6865, 2018
https://doi.org/10.5194/bg-15-6847-2018

Research article 16 Nov 2018

Research article | 16 Nov 2018

# Distribution and cycling of terrigenous dissolved organic carbon in peatland-draining rivers and coastal waters of Sarawak, Borneo

Distribution and cycling of terrigenous dissolved organic carbon in peatland-draining rivers and coastal waters of Sarawak, Borneo
Patrick Martin1, Nagur Cherukuru2, Ashleen S. Y. Tan1,a, Nivedita Sanwlani1, Aazani Mujahid3, and Moritz Müller4 Patrick Martin et al.
• 1Asian School of the Environment, Nanyang Technological University, Singapore 639798, Singapore
• 2CSIRO Oceans and Atmosphere Flagship, Canberra ACT 2601, Australia
• 3Department of Aquatic Science, Faculty of Resource Science & Technology, University Malaysia Sarawak, 94300 Kota Samarahan, Sarawak, Malaysia
• 4Swinburne University of Technology, Faculty of Engineering, Computing and Science, 93350 Kuching, Sarawak, Malaysia
• acurrent address: Erasmus Mundus Joint Programme in Marine Environment and Resources, Plentzia Marine Station, University of the Basque Country, Plentzia, Spain

Correspondence: Patrick Martin (pmartin@ntu.edu.sg)

Abstract

South-East Asia is home to one of the world's largest stores of tropical peatland and accounts for roughly 10 % of the global land-to-sea dissolved organic carbon (DOC) flux. We present the first ever seasonally resolved measurements of DOC concentration and chromophoric dissolved organic matter (CDOM) spectra for six peatland-draining rivers and coastal waters in Sarawak, north-western Borneo. The rivers differed substantially in DOC concentration, ranging from 120–250 µmol L−1 (Rajang River) to 3100–4400 µmol L−1 (Maludam River). All rivers carried high CDOM concentrations, with a350 in the four blackwater rivers between 70 and 210 m−1 and 4 and 12 m−1 in the other two rivers. DOC and CDOM showed conservative mixing with seawater except in the largest river (the Rajang), where DOC concentrations in the estuary were elevated, most likely due to inputs from the extensive peatlands within the Rajang Delta. Seasonal variation was moderate and inconsistent between rivers. However, during the rainier north-east monsoon, all marine stations in the western part of our study area had higher DOC concentrations and lower CDOM spectral slopes, indicating a greater proportion of terrigenous DOM in coastal waters. Photodegradation experiments revealed that riverine DOC and CDOM in Sarawak are photolabile: up to 25 % of riverine DOC was lost within 5 days of exposure to natural sunlight, and the spectral slopes of photo-bleached CDOM resembled those of our marine samples. We conclude that coastal waters of Sarawak receive large inputs of terrigenous DOC that is only minimally altered during estuarine transport and that any biogeochemical processing must therefore occur mostly at sea. It is likely that photodegradation plays an important role in the degradation of terrigenous DOC in these waters.

1 Introduction

The annual flux of terrigenous dissolved organic carbon (tDOC) from rivers into the sea is an important part of the global carbon cycle, estimated at around 0.2 Pg C yr−1 (Dai et al., 2012). South-East Asian rivers contribute roughly 10 % of this flux (Baum et al., 2007; Huang et al., 2017; Moore et al., 2011), chiefly owing to the extensive peat deposits along the coasts of Borneo and Sumatra (Dommain et al., 2014; Page et al., 2011). The rivers draining these peatlands typically carry millimolar concentrations of DOC and are often called “blackwater” rivers (Alkhatib et al., 2007; Baum et al., 2007; Cook et al., 2017; Moore et al., 2011; Rixen et al., 2008).

However, our understanding of the fate of tDOC in rivers, estuaries, and in the ocean is still limited. Most tDOC is derived from soils, from which it is leached by rainwater, and it is thus rich in lignin and humic substances. Classically, these high-molecular weight, highly aromatic molecules have been assumed to be inherently refractory to degradation (Bianchi, 2011), which would imply that they should accumulate in the ocean. However, dissolved organic matter (DOM) in the open ocean does not show clear chemical signatures of terrigenous origin, which indicates that terrigenous DOM (tDOM) must be partly remineralised and chemically altered before reaching the open ocean (Bianchi, 2011; Cai, 2011). Although it is now established that tDOM is indeed partly labile to both photo-oxidation (Helms et al., 2014; Miller and Zepp, 1995; Moran et al., 2000; Spencer et al., 2009; White et al., 2010) and microbial degradation (Fasching et al., 2014; Leff and Meyer, 1991; Moran and Hodson, 1990; Obernosterer and Benner, 2004; Stutter and Cains, 2016; Ward et al., 2013), we are still far from having a quantitative understanding of tDOM processing in estuaries and shelf seas globally. For example, some studies have reported major losses of tDOM, with 40 %–50 % of the tDOC flux being remineralised on the Louisiana Shelf and in the Eurasian Arctic shelf sea (Fichot and Benner, 2014; Kaiser et al., 2017). Yet in contrast, recent analysis of carbon isotopes in different molecular weight fractions in the open ocean suggests that a larger proportion of oceanic DOM may have a more terrigenous origin than currently thought (Zigah et al., 2017). High-resolution mass spectrometry has also identified new terrigenous biomarkers and shown that they are widely distributed throughout the oceans (Medeiros et al., 2016). Moreover, experimental work has clearly shown that some tDOM fractions are resistant to photodegradation (Stubbins et al., 2017). Clearly, more work is needed to trace tDOM fluxes through estuaries and to determine where, how, and to what degree tDOM is biogeochemically processed.

Because tDOM is rich in chromophoric dissolved organic matter (CDOM), optical measurements are commonly used as proxies to trace tDOM fluxes into the ocean (Chen et al., 2015; Fichot and Benner, 2012; Fichot et al., 2016; Kowalczuk et al., 2003; Osburn et al., 2016; Yamashita et al., 2011). The last decade in particular has seen significant advances in our understanding of how CDOM spectral characteristics vary between tDOM and marine DOM, and how they are affected by different biogeochemical processes (Hansen et al., 2016; Helms et al., 2008, 2013, 2014; Shank et al., 2005). As a result, CDOM spectral slope coefficients in the ultraviolet (UV) part of the spectrum have emerged as a robust way to trace tDOM fluxes across salinity gradients and to infer biogeochemical transformations of tDOM (Chen et al., 2015; Fichot et al., 2014, 2016; Helms et al., 2008; Osburn et al., 2016; Stedmon and Markager, 2003).

So far, however, most studies of tDOM fluxes to the sea have focused on North America (Chen et al., 2015; Durako et al., 2010; Fichot and Benner, 2014; Fichot et al., 2014; Leech et al., 2016; Medeiros et al., 2017), Europe (Painter et al., 2018; Rathgeb et al., 2017; Stedmon et al., 2000; Yamashita et al., 2011), and the Arctic (Benner et al., 2005; Dittmar, 2004; Kaiser et al., 2017; Semiletov et al., 2016). Much less work has been conducted in South-East Asia, despite the disproportionately large fluxes of tDOC through South-East Asia's peatland-draining rivers. Most research in South-East Asia has focused on the peatlands themselves to quantify their extent, carbon stocks, and biogeochemistry (Cobb et al., 2017; Dommain et al., 2014; Gandois et al., 2013, 2014; Gastaldo, 2010; Page et al., 2011) or has just examined rivers and estuaries but not traced tDOM further beyond the coast (Alkhatib et al., 2007; Baum et al., 2007; Cook et al., 2017; Harun et al., 2016; Müller et al., 2015; Rixen et al., 2008; Wit et al., 2015). Moreover, most studies of rivers focused either on the total DOC concentration (Alkhatib et al., 2007; Baum et al., 2007; Cook et al., 2017; Rixen et al., 2008) or on water–air CO2 fluxes (Müller et al., 2015, 2016; Müller-Dum et al., 2018; Wit et al., 2015). These studies have shown clearly that peatland-draining rivers in Sumatra and Borneo have amongst the highest DOC concentrations reported from any rivers globally (up to 3000–5500 µmol L−1 or 36–66 mg C L−1). Yet surprisingly, the CO2 fluxes out of these rivers were found to be quite low relative to the extremely high DOC concentrations, implying that most of the tDOC they carry is delivered to the sea (Wit et al., 2015). To understand the biogeochemical processing of South-East Asian tDOC, more work clearly needs to be done in coastal waters. This need is particularly urgent because most peatlands in South-East Asia have been converted to agricultural use over the past two decades (Miettinen et al., 2016) and such conversion appears to enhance riverine tDOC fluxes by destabilising the peatland C pool (Moore et al., 2013).

Here, we present what is to our knowledge the first analysis of DOC concentrations and CDOM spectral properties in six rivers and the surrounding coastal sea in the western part of Sarawak, Malaysian Borneo. Samples were collected at three different times of the year to constrain seasonal variability, and photodegradation experiments were conducted to determine tDOM photolability.

2 Materials and methods

## 2.1 Study region and sample collection

Three field expeditions to Sarawak were undertaken in March, June, and September 2017. Six rivers were sampled in March and September: the Rajang (∼550 km length), the Maludam (∼33 km length), the Sebuyau (∼58 km length), the Simunjan (∼54 km length), the Sematan (∼15 km length), and the Samunsam (∼34 km length) (Fig. 1). The June expedition sampled only the Rajang River. On all expeditions, the river estuaries and open coastal waters were sampled (Fig. 1). In September, one sample was also taken in the estuary of a seventh river, the Lundu River (94 km length). All station locations, sampling dates, and measured data are shown in Supplement Table S1; raw data files for measured parameters are available from the NTU Data Repository (Martin, 2018). Four of the rivers (Maludam, Simunjan, Sebuyau, and Samunsam) are blackwater rivers that drain catchments with high peatland coverage, while the Sematan and Lundu rivers drain catchments with limited peatland cover. The Rajang River drains mineral soils until it reaches the town of Sibu, from where it branches into multiple distributary channels (Fig. 1). The distributaries each have unique names; the main ones (Rajang, Serendeng, and Igan) are identified in Fig. 1. These distributaries are surrounded by extensive peatlands that drain directly into the distributary channels (Staub et al., 2000). Mangroves grow along the estuaries of all of the rivers. All river samples are distinguished below by river name, while marine samples are distinguished by whether they were collected in the region east of Kuching (“eastern region”, influenced strongly by the Rajang River outflow) or in the region west of Kuching (“western region”, influenced by the Samunsam and Sematan rivers). The Talang Islands in the western region (Fig. 1) are surrounded by coral reefs.

Figure 1(a) Map of the study region showing station locations for each of the three expeditions. Thick grey boxes with letters indicate the areas shown in panels (b–d). (e) Monthly mean precipitation for the towns of Sibu, Sematan, and Maludam (locations of the rain gauges are marked with arrows in panels b, c, and d; arrow colours correspond to the bar colours in panel e). Bars show mean ±1 SD for 1999–2017, while points show values for 2017. Bars and points for the three locations in each month are separated horizontally for better readability but correspond to the same time periods.

The three sampling periods corresponded to the end of the north-east monsoon (March, end of the wettest season of the year), the south-west monsoon (June, lower precipitation), and shortly before the beginning of the north-east monsoon (September, end of the drier season). Monthly precipitation across Sarawak can vary several-fold across the year but is mostly ≥100 mm per month (Sa'adi et al., 2017). Precipitation data were obtained from weather stations in Sibu, Maludam, and Sematan. Monthly averages were calculated for the period 1999–2017, omitting the few months for Maludam and Sematan for which there were days with missing data (there were no missing data in 2017). Precipitation in 2017 was mostly within 1 standard deviation of the 1999–2017 means (Fig. 1e). It should be noted that precipitation in this region is strongly driven by small-scale convective systems; however, 2017 was overall not an unusual year in terms of precipitation. Water temperatures in Sarawak show essentially no seasonal variation (average water temperatures during all expeditions fell within 28.5–29.5 C).

To collect samples in the Rajang River and the eastern region, a live-aboard fishing boat was chartered for 4- to 7-day cruises, and all samples were filtered and preserved upon collection. All other stations were sampled from small outboard-powered boats, in which case samples were stored in the dark at ambient temperature in insulated boxes on board, and filtered back on land each afternoon and evening. All samples were collected within the upper 1 m using either a bucket or a hand-held jug; sampling devices were rinsed thoroughly with sample water before sampling. Sample water was decanted into either amber borosilicate glass bottles (DOC and CDOM) or HDPE bottles (chlorophyll and total suspended solids).

DOC and CDOM samples were filtered through 0.2 µm pore-size Anodisc filters (47 mm diameter) using an all-glass filtration system that was rinsed with 1 M HCl and ultrapure deionised water (18.2 MΩ cm−1, referred to as “DI water” below) in between each sample. Each Anodisc filter was rinsed by filtering 100–150 mL of DI water and then 50–100 mL of sample water, before a further 100–150 mL of sample water were filtered and taken as the sample. DOC samples (30 mL) were immediately acidified with 100 µL of either 25 % H3PO4 (March expedition) or 50 % H2SO4 (all other samples) to pH < 2.0. CDOM samples (30 mL) were preserved with 150 µL of 10 g L−1 NaN3 following Tilstone et al. (2002). DOC and CDOM samples were stored in amber borosilicate vials with PTFE-lined septa at +4 C until analysis (within 1.5 months of collection), although some river samples in September froze for 1–2 days due to a refrigerator malfunction in the field. However, freezing did not appear to affect the DOC or CDOM results, as seen from comparing DOC and CDOM data for samples from adjacent stations in the Maludam River that did and did not freeze.

Samples (50–1000 mL) for chlorophyll-a were filtered onto pre-ashed (450 C, 4 h) 25 mm diameter Whatman GF/F filters, wrapped in aluminium foil, and immediately frozen in a liquid nitrogen dry shipper. They were stored in the dry shipper until analysis, within 6 months of collection.

Samples for total suspended solids (TSS, 50–1000 mL) were filtered onto pre-ashed (450 C, 4 h), pre-rinsed, pre-weighed 25 mm diameter Whatman GF/F filters. Filters were rinsed three times with DI water and stored at −20C in Petri dishes.

Procedural blanks for all parameters were prepared in the field using DI water.

## 2.2 Chemical analyses

### 2.2.1 Dissolved organic carbon analysis

Dissolved organic carbon was analysed as non-purgeable organic carbon on a Shimadzu TOC-L system with a high-salt combustion kit after a 5 min sparge, using potassium hydrogen phthalate for calibration. Instrument performance was monitored using certified deep-sea water from the Hansell Laboratory, University of Miami (42–45 µmol L−1). Our analyses consistently yielded slightly higher values for the reference water, with a long-term mean ±1 SD of 47±2.0µmol L−1 (n=51). Procedural blanks prepared in the field almost all contained < 10 µmol L−1, except for those prepared in between blackwater river samples, which contained 13–27 µmol L−1; a correction for these procedural blanks was not applied.

### 2.2.2 Chromophoric dissolved organic matter analysis

CDOM samples were warmed to room temperature and their absorbance measured from 230 to 900 nm against a DI water reference using a Thermo Evolution 300 dual-beam spectrophotometer. Samples from March were measured in either a 10 or a 1 cm pathlength quartz cuvette or in a 1 cm quartz cuvette after 10-fold dilution with DI water (for blackwaters). Samples from June and September were measured undiluted in either 10, 1, or 0.2 cm pathlength cuvettes. Instrument performance was checked according to Mitchell et al. (2000). Reagent blanks of NaN3 in DI water were measured and subtracted from all samples. NaN3 was found to absorb significantly from 230 to 265 nm, with decadic absorption coefficients of ∼26 m−1 at 230 nm, ∼4 m−1 at 254 nm but ≤0.1 m−1 at wavelengths ≥275 nm (Supplement Fig. S1). Blank absorbances at wavelengths 275 nm were nearly always <10 % of sample absorbances, and mostly around 1 % or less. CDOM spectra were baseline corrected (Green and Blough, 1994) and converted to Napierian absorption coefficients following Eq. (1):

$\begin{array}{}\text{(1)}& {a}_{\mathit{\lambda }}=\mathrm{2.303}×\frac{{A}_{\mathit{\lambda }}}{l},\end{array}$

where aλ and Aλ are respectively the absorption coefficient and the absorbance at wavelength λ, and l is the cuvette pathlength in m. These calculations were performed using the R package hyperSpec (Beleites and Sergo, 2018). Our raw CDOM spectra (as decadic absorption coefficients) are shown in Table S1, and representative spectra are shown in Fig. S2. CDOM spectral slope coefficients were calculated for the intervals 275–295 and 350–400 nm using linear regression of log-transformed data as in Helms et al. (2008). Specific UV absorbance at 254 nm (SUVA254) was calculated from the decadic absorption coefficient at 254 nm and DOC concentration in mg L−1. Dissolved inorganic constituents such as bromide, sulfide, nitrate, iodide, and molecular oxygen have negligible absorbance at wavelengths ≥ 250 nm compared to CDOM (Fally et al., 2000; Guenther et al., 2001).

Figure 2Changes in (a–e) dissolved organic carbon concentration and (f–j) a350 from rivers to coastal seawater. Coloured lines show conservative mixing models for the data from the corresponding season. In (b, g), solid versus dashed lines distinguish the mixing models for the Sematan and Samunsam rivers in the western region. Data are separated by sampling region in columns, indicated by the column titles. Colours of plotting symbols are used to distinguish sampling seasons in all panels as per the legend in panel (a).

### 2.2.3 Conservative mixing models for DOC and CDOM

Two-endmember mixing models for DOC and CDOM were calculated for the Rajang, Samunsam, and Sematan rivers, and also for the Maludam River in September. For the other rivers and seasons, there was either insufficient variation in salinity (Maludam and Simunjan), or the salinity was influenced strongly by adjacent rivers that were not sampled (Sebuyau, which drains into the Lupar River estuary). Linear mixing models were calculated from the endmember DOC concentrations and CDOM spectra at salinity intervals of 1.0 from 0 salinity (river water) to the salinity of the marine endmember station (29–32.5). For CDOM, we calculated the full absorption spectrum at each interval and then recalculated the spectral slopes and SUVA254 values, following Stedmon and Markager (2003). It should be noted that conservative mixing of CDOM results in non-linear changes in spectral slopes and SUVA with salinity. Appropriate endmember stations were identified from salinity, DOC, and geographical location (Table S1). In March, rough seas prevented us from sampling fully marine waters in the eastern region, so the marine endmember station from the June expedition was used instead.

### 2.2.4 Chlorophyll-a and total suspended solids analysis

Chlorophyll samples were extracted in 10 mL 90 % acetone at −20C in the dark for 24 h, and fluorescence measured at an excitation of 436 nm and emission of 680 nm (both with 5 nm bandpass) on a Horiba Fluoromax 4 spectrofluorometer (Welschmeyer, 1994). The fluorescence signal was normalised to the excitation lamp reference intensity and calibrated against a chlorophyll-a standard from spinach (Sigma-Aldrich, C5753). The limit of detection (3 SD of the blank) was < 2 ng chlorophyll per filter.

TSS samples were dried at 75 C for 24 h before re-weighing. In March and September, they were then ashed at 450 C for 1 hour to remove organic matter and weighed again to determine inorganic weight. All weighing was performed on a Mettler–Toledo microbalance with ±1µg accuracy.

Four short-term photodegradation experiments were conducted in the field (one in June, three in September). For each, 1 L of sample water was filtered as for DOC and CDOM samples (using multiple Anodiscs if necessary), and filled into 150 mL acid-washed quartz bottles with ground quartz stoppers, leaving a headspace to prevent O2 limitation. Dark bottles were wrapped in aluminium foil and black plastic sheets. One dark and one light control bottle were filled with DI water and treated the same way as sample bottles to check for any systematic contamination (which was not found). All bottles were secured inside a clear, open, plastic food-storage container and exposed to natural sunlight on the roof of the boat (Rajang and seawater experiments) or in an open clearing on land (Samunsam experiment; incubations were completely unaffected by shade between at least the hours of 08:00 and 16:00). To moderate the temperature during sun exposure, the container was filled with clear seawater to the same level as the samples in the bottles.

Experiments were run for 3–6 days. Solar radiation was monitored at varying intervals throughout each day with the reference irradiance sensor of a Trios RAMSES hyperspectral radiometer (318–800 nm at 2 nm resolution). We integrated the measured irradiance from 318 to 450 nm (i.e. the portion of the spectrum with highest CDOM absorption) and then integrated this irradiance over time for each day, using exponential averaging to interpolate across measurement gaps to estimate the cumulative irradiance from 318 to 450 nm, in J m−2, to which samples were exposed throughout each experiment. This allowed us to account for differences in light intensity between days and between experiments by plotting the observed changes in DOM against actual irradiance instead of just as a function of time. However, owing to the large diameter and complex geometry of our quartz bottles, the diurnal change in sunlight angle, and the presence of the plastic container, we could not estimate absorbed light doses reliably enough to calculate apparent quantum yields of DOM photodegradation. We therefore used the estimated irradiances to help us to qualitatively understand how CDOM and DOC changed during sunlight exposure.

3 Results

## 3.1 Concentrations of DOC

Concentrations of DOC differed significantly between rivers, with highest freshwater concentrations (salinity = 0) in the Maludam (3100–4400 µmol L−1), and lowest concentrations in the Rajang (120–250 µmol L−1) (Fig. 2a–e). Seasonal differences were clearly apparent in the river samples but did not show a consistent direction: the Sematan and Samunsam rivers carried ≥50 % higher DOC concentrations in September than in March, the Sebuyau River had marginally higher concentrations in September than in March, while the Maludam and Simunjan rivers had 20 %–40 % lower DOC concentrations in September than in March. Seasonality in the Rajang River is not apparent in Fig. 2a, possibly because of variability between distributary channels.

In March, DOC concentrations at freshwater stations in the Maludam and Sebuyau increased with distance downstream but decreased slightly in the Simunjan (Fig. 3a–c). In September, DOC concentrations varied little with distance downstream in these three blackwater rivers (Fig. 3a–c). In the Rajang River, DOC concentrations at 0 salinity in each individual channel were somewhat higher in March than in September (Fig. 3g–i; June data are not shown because only one station had 0 salinity in June). Notably, DOC concentrations in the Rajang Delta increased substantially with distance downstream in each of the distributary channels (Fig. 3g–i), with concentrations doubling to around 240 µmol L−1 during passage through the northernmost distributary, the Igan.

Figure 3Changes in (a–c) and (g–i) dissolved organic carbon concentration and (d–f) and (j–l) S275–295 with distance downstream for all stations with salinity of 0. Data in (a–f) are for the Maludam, Simunjan, and Sebuyau rivers, while (g–l) show data for the three main Rajang distributaries (named in Fig. 1b): panels (h, k) show data for the Serendeng branch (includes the Lebaan and Paloh sections), while panels (i, l) show data for the Rajang branch (includes the Payang section).

DOC concentrations decreased with increasing salinity in all river estuaries (Fig. 2a–e). In the Samunsam, Sematan, and Maludam rivers this decrease closely followed the predictions from a two-endmember mixing model, with the single sample from the Lundu River being plotted very close to the Sematan mixing model. For the Sebuyau River, a conservative mixing model could not be constructed because it discharges into the estuary of the larger Lupar River (Fig. 1), for which the freshwater endmember DOC concentration was not measured. For the Simunjan River and for the Maludam River in March too few data from brackish waters were available to construct a reliable mixing model.

In contrast, the DOC concentrations in the Rajang Delta do not fit the conservative mixing models well: most of the March and June data from brackish stations have higher DOC concentrations than expected and in fact are closer to predictions from the September mixing model (Fig. 2a). The September mixing model was calculated as the freshwater endmember using the DOC concentration of the two northernmost stations in the Igan distributary, which had the highest DOC concentrations of any of the Rajang River stations.

Some seasonality in DOC concentration was seen at the stations furthest offshore, which had the highest salinities (29.0–32.5). This was most evident in the western region: in March, the stations with highest salinities (28.9 and 29.0) contained 93 and 87 µmol L−1 DOC, while in September the same stations had 76 and 78 µmol L−1 DOC, and salinities >32.0. In the eastern region, the highest offshore salinities in June were 30.2–32.1 with DOC concentrations of 81–99 µmol L−1, while in September the DOC concentrations were lower at 76–83 µmol L−1 with salinities of 29.7–31.6 (except for one station with 88 µmol L−1 DOC).

## 3.2 Spectral characteristics of CDOM

### 3.2.1 CDOM absorption coefficient

CDOM concentrations, quantified as a350, were high throughout our study region. Nearly all samples in the blackwater rivers had a350 values > 50 m−1, with samples from the Maludam reaching 210  m−1 (Fig. 2f–j). Lower values were found in the Rajang and Sematan rivers, between 3 and 11 m−1. The lowest a350 value (0.23 m−1) was found in the furthest offshore station in the western region in September. The mixing behaviour of a350 closely mirrored that of DOC in each of the rivers (Fig. 2).

### 3.2.2 Spectral slopes

The CDOM spectral slope from 275 to 295 nm (S275–295) was low in all freshwater samples, ranging from 0.0102 to 0.0144, and increased with salinity to a maximum of 0.0254 (Fig. 4a–e). S275–295 was somewhat lower in most of the blackwater samples (Samunsam, Maludam, Sebuyau, and Simunjan) than in the Rajang and Sematan. Seasonal differences were clearly seen in the marine samples in the western region, with S275–295 always below 0.0200 in March but up to 0.0254 in September (Fig. 4b). In the Rajang distributaries, S275–295 was lower in March than in September (Fig. 3j–l), but no clear seasonality was seen in the eastern region marine samples (Fig. 4a), although we were unable to collect many marine samples in March due to rough seas.

Figure 4Changes in (a–e) S275–295, (f–j) S350−400, (k–o) CDOM spectral slope ratio, and (p–t) SUVA254 from rivers to coastal seawater. Conservative mixing lines are shown as in Fig. 2 (note that conservative mixing of CDOM properties is non-linear). Data are shown separately for each sampling region as indicated by column titles.

In the Samunsam and Maludam rivers, S275–295 closely followed the conservative mixing models, but this was not the case in the Rajang and the Sematan rivers (Fig. 4a–c). In the Rajang, samples at salinities 3–20 typically had higher S275–295 than predicted by the mixing models (except in June), while many samples at salinities > 20 had S275–295 values that were lower than predicted by the mixing models. Similarly, in the Sematan River in March, samples in brackish water up to salinity 20 showed higher S275–295 than expected from conservative mixing. In September, we were unable to sample fully freshwater in the Sematan River owing to the timing of the tides, so the freshest sample still had a salinity of 3.4 and may therefore have already been affected by any non-conservative processes in the estuary. However, all samples in the western region with salinities > 25 fell very closely between the conservative mixing lines for the Sematan and Samunsam rivers.

The spectral slope from 350 to 400 nm (S350−400) showed more complex trends: freshwater samples had values mostly between 0.014 and 0.018, while brackish and fully marine waters spanned a greater range of 0.0076–0.0206 (Fig. 4f–j). The marine endmember stations in the eastern and western regions both had lower S350–400 than the river endmembers in September but had higher values (western region) or nearly identical values (eastern region) in March and June. In the Rajang and Sematan rivers, S350–400 showed conservative mixing up to salinities of 20–25 but was lower than predicted by conservative mixing in the blackwater Samunsam and Maludam rivers (Fig. 4f–h). At salinities > 20–25, many samples clearly depart from the conservative mixing models, except for samples in March in both regions.

Figure 5Scatter plots of (a) CDOM absorption versus DOC concentration, (b) S275–295 versus DOC concentration, and (c) S275–295 versus CDOM absorption for the entire data set. Strong relationships were found between these parameters but without seasonal variation.

However, the spectral slope ratio, SR (the ratio of S275–295 to S350–400), showed trends very similar to S275–295, i.e. low values in river waters (0.601–0.867) and higher values in marine waters with salinity > 25 (0.786–2.33; Fig. 4k–o). In brackish waters, SR was typically slightly greater than predicted by the conservative mixing models, especially in March in the Rajang, Sematan, and Samunsam rivers, and in September in the Rajang, Samunsam, and Maludam rivers (Fig. 4k–m).

### 3.2.3 Specific UV absorbance

The specific UV absorbance at 254 nm (SUVA254) was higher in river samples (3.08–6.89 at salinity 0) than in marine samples (0.81–5.00 at salinity > 25), and decreased with salinity for all rivers and seasons (Fig. 4p–t). SUVA254 was somewhat higher in the Rajang and in the Simunjan in March than in June or September, but otherwise seasonal differences in the rivers were not pronounced. However, as for the other CDOM parameters, there was a clear difference between March and September in the marine samples from the western region (Fig. 4q). The data from the Maludam, Sematan, and Samunsam rivers closely followed the conservative mixing lines, while in the Rajang, the majority of brackish samples with salinity > 20 showed somewhat greater SUVA254 than expected from conservative mixing (Fig. 4p–r). Because sodium azide contributes a relatively high blank absorbance at 254 nm but not beyond 270 nm, we compared our SUVA254 values to the specific UV absorbance at 280 nm, SUVA280 for each sample. We found a very strong, linear relationship between SUVA280 and SUVA254 for the entire data set across rivers and seasons, with SUVA${}_{\mathrm{280}}=\mathrm{0.792}×$ SUVA254–0.0141 (r2=0.990, p < 0.001, n=154), suggesting that our SUVA254 measurements were not compromised by the NaN3 blank (NaN3 has no absorbance at 280 nm, Fig. S1).

### 3.2.4 Relationships between DOC and CDOM

The CDOM concentration, as a350, was closely related to the DOC concentration for the entire data set (Fig. 5a). S275–295 was also strongly related to DOC, though with somewhat greater scatter at DOC concentrations greater than about 150 µmol L−1 (Fig. 5b). Consequently, there was also a strong relationship between S275–295 and a350, although also with more scatter wherever a350 > 10 m−1 (Fig. 5c). The increased scatter in Fig. 5b, c at high DOC and CDOM concentrations is due to the fact that the rivers differed somewhat in S275–295: in particular, the Rajang, Sematan, and Simunjan had higher S275–295 for a given DOC or CDOM concentration than the Samunsam and Maludam. There was no seasonal variation in any of these relationships, inasmuch as the data sets from all three seasons plot along a single trajectory in all three plots rather than segregating into parallel trajectories by season.

## 3.3 Photodegradation of DOC and CDOM

DOM from the Rajang and Samunsam rivers was photolabile, with DOC and CDOM decreasing after sunlight exposure. In contrast, marine water collected in the eastern region only showed some changes in CDOM but no decrease in DOC (Fig. 6, Table 1). Daily irradiances, integrated from 318 to 450 nm, ranged from 0.92 to 3.00 MJ m−2, with cumulative irradiances for each experiment ranging from 5 to 11 MJ m−2. Irradiance data for each day are shown in Fig. S3. In practice, plotting our data against estimated cumulative irradiance showed the same trends as simply plotting against time of exposure (Fig. S4), although we estimate that the Samunsam water received a slightly higher irradiance over 5 days than the marine water over 6 days and that the two Rajang experiments differed by about 20 % in irradiance despite both lasting 3 days.

The Rajang water in June lost 16.1±0.5µmol L−1 DOC by the end of the experiment (mean ± 1 SD, representing 8.8 %–9.4 % of the starting DOC), with a350 decreasing as well. S275–295 and SR both increased, while S350–400 remained essentially unchanged, and SUVA254 decreased slightly (Fig. 6). In September, we found very similar changes in the Rajang water after sunlight exposure: 18.9±6.1µmol L−1 DOC were lost (mean ±1 SD, representing 5.6 %–10.7 % of starting DOC), a350 decreased, and S275–295 and SR increased by amounts similar to June. Although S350–400 decreased slightly relative to the initial sample, there was no difference between light and dark bottles in this parameter. SUVA254 decreased slightly in the light bottles and actually increased somewhat in the dark bottles. Marine water showed no change in DOC upon light exposure, although light bottles had very slightly higher DOC concentrations than dark bottles at the end of the experiment (by 4.5–6.1 µmol L−1). However, light bottles had lower a350 than dark bottles at the end of the experiment, and S275–295 increased strongly due to light exposure, reaching values higher than seen in any of our environmental samples (> 0.030). S350–400 increased both in light and dark bottles relative to the initial sample, and SR consequently dropped in the dark bottles but remained relatively constant in the light bottles. SUVA254 decreased slightly after light exposure. The greatest effects of photodegradation were seen in the Samunsam River blackwater, with a decrease in DOC by 432±42µmol L−1 (mean ± 1 SD, representing 21 %–26 % of initial DOC) and a large reduction in a350. S275–295 and SR both increased, S350–400 decreased, but SUVA254 remained essentially unchanged (Fig. 6). Notably, DOC and a350 showed a linear decrease with cumulative irradiance in all three river water experiments, suggesting that more DOC could have been mineralised (and more CDOM lost) if sunlight exposure had continued.

Figure 6Results from photodegradation experiments showing the decrease in DOC (a–d), CDOM concentration (e–h), S275–295 (i–l), S350–400 (m–p), CDOM spectral slope ratio (q–t), and SUVA254 (u–x) with cumulative irradiance from 318 to 450 nm in wavelength. Each column corresponds to one degradation experiment, as indicated in the column titles. Black symbols indicate dark control bottles; yellow symbols indicate light-exposed bottles.

Figure 7Distribution of (a–e) chlorophyll-a, and (f–i) total suspended solids from rivers to coastal seawater for each study region. TSS was not measured in the Simunjan.

## 3.4 Distributions of chlorophyll-a and suspended sediments

Chlorophyll-a concentrations were mostly < 3 µg L−1 throughout the region, and never exceeded 5.5 µg L−1, indicating quite oligotrophic conditions (Fig. 7a–e). Concentrations in the rivers at salinity 0 were always < 1 µg L−1 except in the Simunjan (up to 3.8 µg L−1), and higher values were generally found in the estuaries at salinities between 10 and 25.

Total suspended solids in the Rajang reached values up to nearly 400 mg L−1, with values in the brackish waters of the Rajang Delta varying mostly between 10 and 70 mg L−1 (Fig. 7f–i). More than 90 % by weight of this material was inorganic. The other rivers and the most distant marine samples all contained far lower TSS concentrations, but the estuaries always had > 10 mg L−1.

Table 1Summary of results from photodegradation experiments for DOC, S275–295, and CDOM concentration (a350). All values are mean ± SD for each treatment. Day 0 data are the values measured at the corresponding station from which water for each experiment was taken. All irradiance data are in Joules m−2, integrated from 318 to 450 nm.

4 Discussion

## 4.1 Distribution of DOM within and between rivers

Rivers in Sarawak clearly differ substantially in their DOM concentrations. All of the blackwater rivers had DOC concentrations above 1200 µmol L−1, with highest values in the Maludam River. These results are consistent with previous measurements in the Maludam (Müller et al., 2015), and in other blackwater rivers in South-East Asia (Alkhatib et al., 2007; Cook et al., 2017; Harun et al., 2016; Moore et al., 2011; Rixen et al., 2008; Wit et al., 2015), but they are high compared to DOC measurements in blackwaters from other continents, which are typically below 2000 µmol L−1 (Lawrenz et al., 2010; Leech et al., 2016). The Maludam, Sebuyau, and Simunjan rivers drain peatlands along most of their catchments (Müller et al., 2016), while the Samunsam River drains an extensive area of peatland in its upper reaches. The lower DOC concentrations in the Rajang, Sematan, and Lundu rivers are closer to concentrations reported from the Lupar and Saribas (mostly < 500 µmol L−1), the two larger rivers that flank the Maludam peat dome (Fig. 1) (Müller et al., 2016). The Rajang River drains mineral soils along most of its catchment, and peatlands (up to several metres thick) are only found in the delta surrounding the distributaries (Gastaldo, 2010; Staub et al., 2000). The Sematan and Lundu river catchments also have at most limited peat deposits. The pronounced increase in DOC concentration with distance downstream in the three main Rajang distributary channels clearly shows that there are large organic matter inputs into the distributaries. Chlorophyll-a concentrations in the Rajang were very low, and no traces of aquatic macrophytes were seen in any of the rivers; given the very low light penetration due to suspended sediments and CDOM (see Sect. 4.3.2), benthic primary production is likely to be at most minimal. We therefore rule out a significant autochthonous DOC source. Bacterial solubilisation of particulate organic carbon (POC) is a possible in situ source of DOC, but our CDOM data did not indicate a substantial bacterial DOM source (see Sect. 4.4). Photochemical POC solubilisation could also produce DOC in situ (Kieber et al., 2006; Mayer et al., 2006). However, estimated rates of photochemical POC solubilisation under realistic conditions of light penetration are only around 4–6 mmol m−2 d−1 (Kieber et al., 2006; Riggsbee et al., 2008), which is too low to explain the DOC increase we observed, given the likely short transit time of water through the Rajang Delta (see Sect. 4.3.2). Instead, the DOC input most likely originates from the peatlands in the delta. Peatlands are found throughout the delta but are most extensive and deep along the Igan distributary (Gastaldo, 2010; Staub et al., 2000), and the Igan also showed the greatest increase in DOC with distance downstream of all the Rajang distributaries, consistent with our hypothesis of a peatland DOM source to the Rajang Delta. However, future work should explicitly address the possibility of POM solubilisation to DOM in South-East Asian rivers.

None of the river catchments consist of genuinely pristine peat swamps: much of the peatland surrounding the Simunjan, Sebuyau, and Rajang rivers has been converted to oil palm plantations, and even the less impacted Maludam and Samunsam catchments have been disturbed to some degree by logging. Human disturbance has been shown to increase the loss of DOC from peatlands at field sites in central Borneo (Moore et al., 2013), and depending on water table height, peatland oil palm plantations in Sarawak can also export old DOC (Cook et al., 2018). Differences in DOM quality between agricultural and natural peatland sites on Borneo have also been noted (Harun et al., 2016; Materić et al., 2017). While it is thus clear that land use can impact DOC export from South-East Asian peatlands, our study was not designed specifically to determine the effect of land use on DOM concentrations or quality in the rivers; more field work would be needed to do so.

Our CDOM data show that all rivers were characterised by high levels of tDOM, with the blackwater rivers in particular having extremely high absorption coefficients, very low S275–295, and high SUVA254. S275–295 is now well established as an optical tracer for tDOC in estuarine and marine waters (Fichot and Benner, 2011, 2012; Helms et al., 2008) and is inversely related to the mean molecular weight of DOM in a sample (Helms et al., 2008). SUVA254 is positively related to the aromaticity of DOM (Traina et al., 1990; Weishaar et al., 2003). Our values for S275–295 and SUVA254 in the rivers are respectively on the low and the high end of values reported from other freshwaters, especially in our blackwater rivers (Fichot and Benner, 2014; Helms et al., 2008; Leech et al., 2016; Massicotte et al., 2017). These river systems in Sarawak are therefore characterised by DOM with high average molecular weight and high aromaticity, consistent with a terrigenous rather than aquatic source. Moreover, even the clearest marine waters that we sampled had S275–295 no greater than about 0.025, which is consistent with some of the DOM in these waters having a terrigenous origin.

Riverine DOC concentrations do not always show a simple relationship with precipitation and river discharge, especially in peatland-draining rivers (Clark et al., 2007). Previous DOC measurements in the Saribas and Lupar rivers in Sarawak did not show consistent seasonality (Müller et al., 2016). Our data indicate that DOC concentrations at the end of the wettest season (March) were higher than at the end of the drier season (September) in the Rajang, Maludam, and Simunjan rivers but by different amounts. In contrast, the Samunsam, Sematan, and Sebuyau showed lower concentrations in March than in September but again by different amounts between the rivers. These differences between rivers probably reflect differences in catchment hydrology rather than variation in weather conditions, given that precipitation in 2017 was mostly close to the 18-year mean. However, the Maludam experienced unusually high precipitation in September, with nearly all of the excess precipitation relative to the mean falling during two consecutive days and less than 1 week before our sampling. It is possible that this high precipitation could have had a dilution effect (Clark et al., 2007) and contributed to the lower September DOC concentrations in this river. Because the Maludam is a very small river, the precipitation record from Maludam village is likely to reflect rainfall across the Maludam catchment. This is unlikely to be the case for the Rajang River; therefore, the elevated February precipitation in Sibu would probably not have affected our March data for the Rajang.

Overall, our data clearly show that there is inconsistent seasonality in riverine DOC concentrations across Sarawak, while precipitation is relatively high year-round. Sarawak is thus clearly characterised by high tDOC fluxes to sea in all seasons, as reflected by the low S275–295 values at all of our marine stations. Nevertheless, we found a stronger terrigenous signal during the north-east monsoon in the western region marine samples, although we cannot say whether this reflects a seasonal change in the magnitude of the tDOC flux to sea or perhaps a seasonal difference in the degradation rate of tDOC at sea. For example, rougher, more turbid seas and greater cloud cover during the north-east monsoon might reduce the solar irradiance underwater and thus reduce the rate of photodegradation.

Despite the fact that there are large differences in CDOM concentration and some differences in CDOM spectral properties between rivers, we found very strong relationships between DOC concentration, a350, and S275–295 across our entire data set. Unlike, for example, in the northern Gulf of Mexico (Fichot and Benner, 2011), there was no seasonal variability in these relationships. This suggests that there are no strong seasonal changes in tDOM composition within our study region, despite the seasonal concentration differences discussed above.

## 4.2 Photolability of riverine DOM

Our experiments clearly showed that DOM in Sarawak rivers is photolabile, with both DOC mineralisation and substantial changes to the CDOM absorption spectrum occurring within days of sunlight exposure. The linearity of DOC loss with cumulative irradiation in our river samples suggests that our experiments were too short for all photolabile DOC to be lost; our results are therefore an underestimate of the total proportion of tDOC in Sarawak rivers that can potentially be photomineralised (of course, it must be noted that the rate of tDOC photo-oxidation in our incubations was likely much higher than the true in situ rate of photo-oxidation, at least in the highly light absorbent rivers). Only the marine sample did not lose DOC upon exposure to sunlight, although this sample did show a significant increase in S275–295 to higher values than found at any of our stations. This increase in spectral slope for marine CDOM further suggests that there was a terrigenous fraction of DOM even at those stations farthest offshore.

High photolability of tDOM has been shown in many cases, with freshwater samples from North America (Gao and Zepp, 1998; Helms et al., 2008, 2014; Miller and Zepp, 1995; White et al., 2010), Africa (Spencer et al., 2009), and the Arctic (Stubbins et al., 2017) showing loss of DOC and changes in absorption spectra upon solar irradiation. In some cases, however, riverine tDOC was found to be resistant to photodegradation, possibly because the photolabile fraction had already degraded upstream of the sampling site (Chupakova et al., 2018). Phytoplankton-produced DOC and marine surface-water DOC are typically not photomineralised (Obernosterer and Benner, 2004; Ziegler and Benner, 2000), although DOC from aphotic deep-sea samples has been shown to be photolabile (Helms et al., 2013). The changes that we observed in all our samples in S275–295 (pronounced increase) and in S350–400 (decrease or no change relative to dark bottles) upon sunlight exposure, and the resulting increases in SR, are also consistent with photodegradation studies of tDOM in other regions (Helms et al., 2013; Spencer et al., 2009). Our data thus validate these optical measures as indicators of photodegradation also in South-East Asia. Interestingly, the Samunsam blackwater sample did not show a change in SUVA254 upon solar irradiation. Given the very high SUVA254 of this sample, it is possible that the contribution of aromatic molecules to the total DOC was so high that the degradation of aromatic moieties was proportional to the overall loss of DOC during photo-exposure.

Our experimental results thus indicate that tDOM in rivers in Sarawak contains a significant photolabile fraction that is partly photomodified and partly photomineralised. Because South-East Asian peatlands are predominantly found in coastal lowlands (Dommain et al., 2014), peatland-derived DOM probably has too short a residence time in rivers for significant photodegradation to occur in the rivers before it reaches the sea, unlike in some Arctic rivers (Chupakova et al., 2018). We therefore suggest that most photochemical transformations of tDOC in Sarawak likely take place after tDOC reaches the sea rather than inside the rivers and estuaries.

## 4.3 Mixing of riverine DOM with marine water

### 4.3.1 Conservative mixing

In the Maludam, Samunsam, and Sematan estuaries, DOC and most CDOM parameters showed conservative mixing between river water and seawater. Conservative behaviour of tDOM is often reported from estuaries elsewhere (Chen et al., 2015; Kowalczuk et al., 2003; Rochelle-Newall and Fisher, 2002; Yamashita et al., 2011), including the few South-East Asian rivers that have been studied to date (Alkhatib et al., 2007; Baum et al., 2007; Rixen et al., 2008). Even though tDOM is now recognised as being less refractory than previously assumed (Bauer et al., 2013; Bianchi, 2011; Cai, 2011), as also shown by our photodegradation experiments, the removal timescales of tDOM by photochemical, biological, and other processes are clearly longer than the transit times through these river systems.

The marine waters in the western region showed a clear seasonal difference in CDOM spectral characteristics and salinity. The only significant rivers in this region are the Samunsam, Sematan, and Lundu. In spite of their small size, these rivers clearly deliver enough tDOM to measurably impact the optical characteristics of the DOM pool in coastal waters 10–20 km beyond the river mouths, including on the coral reefs surrounding the Talang Islands. Even our highest values of S275–295 are actually on the low end of values reported from marine samples (usually 0.020–0.050, Stedmon and Nelson, 2015), suggesting that tDOM contributes significantly to the total DOM pool in coastal waters in Sarawak. Beyond the immediate river plumes, these coastal waters have low concentrations of suspended sediments and of chlorophyll, which means that tDOM delivery might act as an important control over the underwater light availability in this region and thus over coastal productivity (Cherukuru et al., 2014; Durako et al., 2010; Lawrenz et al., 2010).

### 4.3.2 Possible non-conservative mixing in the Rajang

In the Rajang Delta, we found evidence of non-conservative mixing, with most of the brackish waters having higher DOC concentrations than expected. We attribute this to continued input of tDOC from the extensive peatlands surrounding all of the distributaries (Gastaldo, 2010; Staub et al., 2000), since we observed increasing DOC concentration with distance downstream in each distributary. Moreover, several of the eastern region marine samples, with salinities > 30, had higher DOC concentrations than predicted by the mixing models, possibly indicating that DOC-rich run-off from peatlands also flows directly into the coastal sea (e.g. from peatlands on Pulau Bruit, Staub et al., 2000). Higher DOC concentrations than predicted by conservative mixing have sometimes been noted, for example in the Chesapeake Bay, and attributed to in situ production of DOC by phytoplankton (Rochelle-Newall and Fisher, 2002). However, chlorophyll-a concentrations in our study region very rarely exceeded 2.5 µg L−1 and were always below 1 µg L−1 in the Rajang River, which rules out phytoplankton production as a major source of riverine DOC.

Given this large input of likely peat-derived DOC into the Rajang Delta, one would also expect non-conservative behaviour from CDOM. Surprisingly, however, the majority of brackish samples actually had higher S275–295 values than predicted, contrary to what one would expect from the addition of peatland-derived DOM (indeed, all other rivers had lower S275–295 than our Rajang samples). These results suggest that there is selective removal of a high-molecular weight CDOM fraction within the Rajang Delta, despite the continued input of tDOM in the distributaries. Our data from the Sematan River in March actually hint at a similar increase in S275–295 than expected from conservative mixing, although our data set from this river is too limited to conclude this with confidence.

Non-conservative removal of tDOM in estuaries can occur due to photodegradation and microbial degradation, flocculation due to rising salinity, or adsorption to sediments. We hypothesise that adsorption of tDOM to suspended inorganic sediments is the most likely explanation for the non-conservative increase in S275–295. We measured extremely high suspended inorganic sediment in all of the Rajang distributaries on all expeditions (100–360 mg L−1), which is consistent with previous data (Staub et al., 2000). Such concentrations of sediments have been shown to lower CDOM absorption coefficients and to increase the CDOM spectral slope of estuarine tDOM samples in laboratory incubations (Shank et al., 2005; Uher et al., 2001). While flocculation of tDOM due to rising salinity can occur (Sholkovitz et al., 1978; Uher et al., 2001), we would also expect this process to affect all of the other less sediment-rich rivers similarly, but this was not the case (except possibly in the Sematan estuary). Photodegradation is unlikely to account for CDOM removal in the Rajang Delta because the high sediment loads attenuate light very strongly; Secchi depths, measured on two of our expeditions in the Rajang, were typically in the range of 10–30 cm. Although bacterial degradation of tDOM almost certainly does take place in the Rajang, the transit time of river water through the distributaries is probably too short for biological degradation to account for the observed changes: the total distance through the distributaries to the coast is around 80–120 km, and current speeds of the order of about 1–2 knots were typical, implying a total transit time to sea of just a few days. Sediment adsorption, however, has been shown to alter CDOM spectra within hours to days (Shank et al., 2005; Uher et al., 2001). Müller-Dum et al. (2018) reported relatively low concentrations of CO2 in the Rajang River and along the distributaries, with 13C content of dissolved inorganic carbon indicating little contribution of peatland DOC to the dissolved CO2 pool, which supports our interpretation of the DOC and CDOM data in this river.

## 4.4 Biogeochemical processing of tDOM

Importantly, our data suggest that most of the tDOM that is lost from South-East Asia's coastal peatlands is transferred to the seas on the Sunda Shelf, where it becomes part of the global ocean circulation via the different branches of the Indonesian Throughflow. However, owing to the large geographical extent of the Sunda Shelf, the residence time of peatland tDOM on the shelf is likely to be at least several months to a year. During this time, the tDOM always experiences temperatures of 25–30 C (promoting rapid microbial metabolism) and is also likely exposed to relatively high doses of solar irradiation, because these oligotrophic, tropical waters are relatively clear and shallow (mostly < 100 m deep). The geographical extent and oceanography of the Sunda Shelf seas are therefore likely to strongly promote the remineralisation of tDOM before this material enters the open ocean. Remineralisation of tDOC would explain the high pCO2 oversaturation reported by Kartadikaria et al. (2015) across the Java Sea, which is thus consistent with our results.

5 Conclusions

We have undertaken the first seasonally resolved study of DOC and CDOM for South-East Asia that includes peatland-draining rivers, estuaries, and coastal waters. Most of the rivers we sampled carried very high concentrations of tDOC and CDOM that showed conservative mixing with seawater in the estuaries. Non-conservative mixing was only found in the Rajang River delta, where our data point towards increasing inputs of tDOM from peatlands along the delta but also to the removal of a high-molecular weight fraction, probably due to adsorption to sediments. Seasonality in tDOM concentrations differed between rivers, but our CDOM data showed that tDOM concentrations were higher at all marine stations in the western part of our study region during the north-east monsoon. Overall, our CDOM spectral slope coefficients are consistent with a significant contribution by tDOM to the total DOM pool even at our marine endmember stations but also suggest that photodegradation plays an important role in the biogeochemical processing of tDOM in Sarawak's coastal waters. This is also supported by our direct experimental evidence showing that tDOM from rivers in Sarawak is both remineralised and altered upon solar irradiation. Our results therefore suggest that much of the biogeochemical processing of peatland-derived tDOM in South-East Asia may take place in shelf seas rather than rivers.

Data availability
Data availability.

The full processed data set for all parameters is available as Table S1. All raw data files are available through the NTU data repository, DR-NTU, at https://doi.org/10.21979/N9/0RLSDU (Martin, 2018).

Supplement
Supplement.

Author contributions
Author contributions.

PM, MM, NC, NS, and AM conceptualised the research project and planned the field expeditions. PM, MM, AM, and NC obtained research funding. PM, MM, NC, ASYT, and AM collected and analysed the field samples. PM, ASYT, and NS processed and analysed the data. All authors contributed to data interpretation and to the writing of the manuscript.

Competing interests
Competing interests.

The authors declare that they have no conflict of interest.

Special issue statement
Special issue statement.

Acknowledgements
Acknowledgements.

We would like to thank the Sarawak Forestry Department and Sarawak Biodiversity Centre for permission to conduct collaborative research in Sarawak waters under permit numbers NPW.907.4.4(Jld.14)-161, Park Permit no. WL83/2017, and SBC-RA-0097-MM. We are very grateful to the boatmen who helped us to collect samples, in particular Lukas Chin, Captain Juble, and their crew during the Rajang River and eastern region cruises, and Minhad and Pak Mat while sampling the western region. We are grateful to Claire Evans and Joost Brandsma for their participation in planning the overall research project and helping to lead expeditions to the Maludam, Sebuyau, and Simunjan rivers. Faddrine Jang, Edwin Sia, Gonzalo Carrasco, Jack Sim, Akhmetzada Kargazhanov, Florina Richard, Faith Chaya, Noor Iskandar Noor Azhar, and Fakharuddin Muhamad assisted greatly during fieldwork and with logistics. The Sarawak Department of Irrigation and Drainage provided precipitation data. Patrick Martin acknowledges funding through a Nanyang Technological University Start-Up Grant, and a Tier 1 grant from the Singapore Ministry of Education's Academic Research Fund (RG 175/16). Mortiz Müller and Aazani Mujahid were funded by MOHE FRGS 15 Grant (FRGS/1/2015/WAB08/SWIN/02/1), SKLEC Open Research Fund (SKLEC-KF201610), and by the Newton-Ungku Omar Fund (GL/F07/NUOF/01/2017). Nagur Cherukuru acknowledges the CSIRO Coasts programme funding contribution for this research. A CSIRO internal review helped to improve the manuscript. We thank two anonymous reviewers for constructive criticism that improved the manuscript.

Edited by: Palanisamy Shanmugam
Reviewed by: two anonymous referees

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