Introduction

Colored dissolved organic matter (CDOM, also called color) is the optically active (or colored) fraction of dissolved organic matter (DOM) and is an important contributor to light extinction (McPherson and Miller 1987, 1994; Christian and Sheng 2003). The concentration of CDOM affects light availability needed for primary production by phytoplankton, microalgae, and submerged aquatic vegetation in many estuaries (McPherson et al. 1990; Doering et al. 1994; Corbett and Hale 2006; Chen et al. 2007). More importantly, the concentration of CDOM determines not only the absolute magnitude of light it attenuates but also its contribution to overall light extinction relative to other constituents including chlorophyll a (Chl a) and turbidity (McPherson and Miller 1987; Christian and Sheng 2003; Kelble et al. 2005). The latter is particularly important because the extent to which Chl a controls light attenuation relative to other constituents may influence the success of efforts to enhance water clarity through reductions in nutrient loading and Chl a (Greening and Janicki 2006; Greening et al. 2011). Hence, a study of processes that influence the concentration of CDOM, such as apparent estuarine mixing behavior, is of ecological and management significance (Doering et al. 1994; Corbett and Hale 2006).

In many estuaries, CDOM is mostly of terrestrial origin and transported by freshwater inflow (Blough and Del Vecchio 2002). The mixing of CDOM between river and ocean waters produces a commonly observed inverse relationship between CDOM concentration and salinity as well as a longitudinal gradient in concentration (Branco and Kremer 2005; Bowers and Brett 2008). Mixing often appears conservative because CDOM (1) can be so concentrated in river water that mixing masks photochemical or biological alterations of its concentration and composition and (2) may be mostly refractory and not susceptible to common degradation processes (Rochelle-Newall and Fisher 2002; Kowalczuk et al. 2003). However, CDOM does exhibit nonconservative mixing in some estuaries, and this can vary seasonally (Chen et al. 2007; Del Castillo and Miller 2008). Various processes may account for nonconservative mixing behavior including (1) photolysis and microbial activity (Moran et al. 2000; D’Sa and DiMarco 2009; Shank et al. 2009), (2) flocculation and absorptive removal (Uher et al. 2001), and (3) in situ production by phytoplankton, mangroves, sea grasses, or sediment resuspension events (Boss et al. 2001; Romera-Castillo et al. 2010; Shank et al. 2010). All these processes individually and/or interactively contribute to a complexity of CDOM distribution along the estuarine mixing gradient.

CDOM or color has been monitored in the Caloosahatchee River Estuary for decades (Doering et al. 2006), and its important contribution to light attenuation is well recognized (McPherson and Miller 1987, 1994). However, a systematic study of its mixing behavior and potential impacting factors has been lacking. Particularly, the effect of mixing behavior of CDOM on estimates of light attenuation in the estuary has not been assessed. The objectives of this study were to (1) characterize the estuarine mixing behavior of CDOM in the Caloosahatchee River Estuary (CRE), (2) investigate two processes potentially affecting mixing patterns (specifically flocculation and photolysis), and (3) evaluate the relative contributions of CDOM, turbidity, and Chl a to total light attenuation and how mixing behavior can impact estimates of light attenuation.

Materials and Methods

Study Area

The Caloosahatchee River Estuary (CRE) is located on the southwest coast of Florida. It extends approximately 48 km from the Franklin Lock and Dam (S79) at the head of to San Carlos Bay, where it empties into the Gulf of Mexico (Fig. 1). S79 separates the freshwater river from the estuary and acts, in part, as a salinity barrier. The estuary receives freshwater inflows at S79 derived from Lake Okeechobee and runoff from the watershed upstream of the Franklin Lock and Dam and from runoff from the tidal watershed downstream of S79.

Fig. 1
figure 1

Sampling stations in the CRE from Franklin Lock and Dam (S79) to the Gulf of Mexico (subpanel showing the CRE relative to the state of Florida)

Freshwater Inflow

Daily discharge (m3 s−1) at S79 was downloaded from records kept by the South Florida Water Management District (SFWMD). These daily mean flows were averaged over 21 days prior to the sample dates to represent overall flow conditions associated with each sampling event. Previous studies suggested that the overall flushing time of the CRE was from a few days to more than 60 days, depending on freshwater inflow and location in the estuary (Doering et al. 2006; Wan et al. 2013).

Field Surveys

Fourteen (14) field survey cruises were conducted between March 2009 and January 2011, sampling 12–13 stations along an estuarine salinity gradient extending from the Franklin Lock and Dam (S79 or CES01) to San Carlos Bay Marker 6 (SCBM6) in the Gulf of Mexico (Fig. 1 and Table 1). We applied a phased approach to the study of CDOM in the Caloosahatchee River Estuary. The first four field surveys were devoted primarily to the characterization of CDOM mixing behavior and testing for flocculation in the laboratory. Measurements of the diffuse light attenuation coefficient (k d) were added to the field survey after September 2009, and laboratory measurements of photolysis were added after December 2009. During the last five surveys (April 2010–January 2011), measurements of turbidity and Chl a were taken along with CDOM to estimate the contribution of these water quality constituents to light attenuation. Water samples were collected at a depth of 0.5 m with a 6.2-L Van Dorn Bottle and transferred into a clean bucket. CDOM or color samples were withdrawn from the bucket with a syringe and then passed manually through a 0.45-μm membrane filter into a 60-ml opaque bottle that was stored on ice until analysis in the laboratory as described below. Chl a samples were also taken from the bucket and stored on ice until processed in the laboratory following the methods described by the Laboratory Standard Operating Procedures (South Florida Water Management District SFWMD 2013). Specifically, water samples were filtered in subdued light through a GF/G glass fiber filter as soon as the samples reached the laboratory. The pigments were extracted with an aqueous acetone solution overnight and measured with Turner AU-10 fluorometer using a narrowed bandwidth of 436 nm (exCitation filter) and 680 nm (emission filter). After collecting the CDOM and Chl a samples, salinity, turbidity, and temperature were measured with a YSI 6600 water quality instrument submerged in the bucket. Before and after each cruise, turbidity probes were calibrated using a two-point calibration as recommended by the manufacturer using 0 NTU (deionized water) and 123 NTU standards (Formazin supplied by YSI). YSI turbidity probes are active sensors with a light emitting diode (LED) as the light source, which produces radiation in the near infrared region of the spectrum. The detection limits of turbidity sensors are from 0 to 100 NTU with a precision of 0.1 NTU and an accuracy of 0.3 NTU or 3 % of readings (whichever is greater). At each of the presumptive end-members of the system (CES01 and SCBM6), a 1-L water sample was collected without filtration and stored on ice for use in laboratory studies.

Table 1 Summary of salinity, CDOM absorption coefficient at 355 (a CDOM(355), m−1), color (PCU), light attenuation coefficient (k d, m−1) of PAR, photolysis rate (k p, m2 mol−1), and CDOM mixing behavior in the field

Vertical profiles of photosynthetically active radiation (PAR) were obtained at depth intervals of 0.25 m with a LI-COR, LI-193 spherical quantum sensor, and a LI-1400 data logger. The diffuse attenuation coefficient (k d, m−1) of PAR was calculated from those profiles by curve-fitting using the following equation

$$ {I}_z={I}_0\times \exp \left(-{k}_d\times Z\right) $$
(1)

where I o (μmol sec−1 m−2) is PAR just below the water surface and I z (μmol sec−1 m−2) is PAR at depth Z (m). To be consistent among stations of different depths, only data from the top 2 m were used in the calculation.

Dilution Experiments for Removal by Flocculation

In the laboratory, samples from freshwater (CES01, FW) and saltwater (SCBM6, SW) end-members were mixed to produce an experimental salinity gradient and mixing curve to test for flocculation. For each survey of 13 sampling events, 11 dilution mixtures were made with the following ratios: 100 mL FW:0 mL SW, 90 mL FW:10 mL SW, 80 mL FW:20 mL SW, 70 mL FW:30 mL SW, 60 mL FW:40 mL SW, 50 mL FW:50 mL SW, 40 mL FW:60 mL SW, 30 mL FW:70 mL SW, 20 mL FW:80 mL SW, 10 mL FW /90 mL SW, and 100 mL SW:0 mL FW. The dilutions were kept at room temperature overnight allowing for interaction between the two end-members. On the following day, samples were filtered for CDOM analysis as described below. The salinity of these dilutions was calculated with the equation (Del Castillo et al. 2000):

$$ {S}_m={S}_0\times \left(1-\frac{V_f}{V_0+{V}_f}\right)+{S}_f $$
(2)

where S m, S o, and S f are salinity (psu) of the dilutions, oceanic, and river end-members, respectively, and V o and V f are volumes (mL) of oceanic and river end-members, respectively. Measured CDOM and calculated salinity were examined using salinity–property plots as described below.

Photolysis Experiments

Water samples from the freshwater station (CES01) were filtered first through a 0.45-μm filter to remove particulate matter and then through a 0.2-μm filter to remove most bacteria and placed in autoclaved 150-mL quartz flasks (Ortega-Retuerta et al. 2009). Before each photolysis experiment (total nine experiments), the initial CDOM concentration was measured and treated as concentration at day 0. Five flasks were then placed outdoors under natural sunlight in a water bath along with two additional flasks wrapped thoroughly in aluminum foil to serve as dark controls. Aside from the difference in exposure to light, bottles were subjected to the same experimental conditions. Thus, any differences in CDOM concentration between light and dark bottles were attributed to effects of light. Water temperature ranged from 18 to 32 °C and varied with season. The photolysis experiments lasted for 8 days with CDOM samples taken on days 1, 2, 3, 6, and 8. One flask exposed to light was sacrificed at each time point after day 0, while one of the dark control flasks was sampled repeatedly and the other sacrificed on the last day of the experiment.

The cumulative exposure to PAR (400–700 nm) over the course of each experiment was measured with a LI-COR LI-190 quantum sensor and a LI-1400 data logger. On one occasion, the sensor had a technical problem, and PAR data were obtained from records at a station about 10 mi away from our lab site. The available PAR values from these two stations showed a strong correlation (R = 0.9, n = 22).

The CDOM absorption spectra of the control and photolysis samples were measured with the same procedures as field and dilution/flocculation samples. Photolysis rates were estimated using nonlinear fitting of the CDOM absorption coefficient at 355 nm and cumulative PAR (PARcum) data using a first-order decay equation (Shank et al. 2009)

$$ a={a}_0\times \exp \left(-{k}_p\times {\mathrm{PAR}}_{\mathrm{cum}}\right) $$
(3)

where a 0 is the initial CDOM absorption coefficient (m−1), a is the CDOM absorption coefficient following exposure to light (m−1), k p is the photolysis rate (m2 mol−1) of CDOM, and PARcum is cumulative solar radiation (mol m−2) over experimental days (8 days).

Measurement of CDOM

The absorption spectra (A(λ), dimensionless) of CDOM in the field, dilution, and photolysis samples were measured between 250 and 800 nm at 2-nm intervals using a UV-1601 Shimadzu UV-Visible Spectrophotometer equipped with 1-cm quartz cells. Milli-Q water was used as the blank reference. CDOM absorption coefficients, a CDOM(λ) (m−1), were calculated using the following equation (Kirk 1994):

$$ {a}_{CDOM}=1n10\times \frac{A\left(\lambda \right)}{L} $$
(4)

where A is the absorbance, a is the absorption coefficient (m−1), L is the path length (0.01 m), and λ is the wavelength (nm).

The mean absorbance between 700 and 800 nm was subtracted from the spectra to correct for offsets due to instrument baseline drift, temperature, scattering, and other factors (Helms et al. 2008). To determine the extent of photochemical degradation and potential changes in composition of CDOM in the photolysis experiments, three intervals of the spectrum were chosen to derive slopes per Helms et al. (2008): 275–295, 350–400, and 300–700 nm. For the first two intervals, absorbance values were first log-transformed and then linearly fit due to relatively short wavelength intervals. For the third interval, a nonlinear least square regression was used. Previous studies suggested that the ratio (S R) of the slope at 275–295 nm to the slope at 350–400 nm increases with photochemical degradation, related to the transformation of high molecular weight CDOM (HMW) to low molecular weight CDOM (LMW) (Helms et al. 2008). In addition, we used the absorption coefficient at a wavelength of 355 nm (a(355), m−1) as a measure of CDOM concentration. The absorption coefficient at 465 nm was also calculated and converted to more commonly used color units (platinum–cobalt unit (PCU)) using a linear regression relationship between a CDOM(465) and color (Color = a CDOM(465) × 16.1 + 1.4, R 2 = 0.997, n = 84, p < 0.001, unpublished data).

Data Analysis

CDOM concentrations measured in the laboratory were plotted against salinity. Apparent mixing behavior in the field was examined by comparing these salinity–property plots to a conservative mixing line that assumed the freshwater and marine end-members to be CES01 and SCBM6. The deviation from this conservative mixing line was calculated using the following equation:

$$ Percent\; Deviation\left(\%\right)\frac{A_o-{A}_c}{A_c}\times 100 $$
(5)

where A c is the area under the conservative mixing line and A o is the area under the curve defined by the observed CDOM distributions. Percentages less than 0 indicate loss of CDOM during mixing, while positive values suggest addition. Due to inherent uncertainties in measurements of salinity and CDOM, any mixing with percent deviations within ±3 % was considered conservative by trial and error. Selection of a different value would not impact the overall conclusions of this study.

Following McPherson and Miller (1994), the partial attenuation coefficients for color, turbidity, and Chl a to k d were quantified using multiple stepwise linear regression (SAS 9.3). While optical models may provide a more mechanistic representation of the relationship between light attenuation and water quality concentrations, development of such models requires region-specific relationships between water quality concentrations and inherent optical properties (IOPs) (Gallegos 2001). More importantly, optical models are very sensitive to these relationships, and such relationships are highly variable from region to region. Due to the lack of those relationships for our study region, we chose to apply a commonly used regression model to link light attenuation and water quality.

The regression related k d to the concentrations of the three water quality parameters measured at a depth of ∼0.5 m. In the regression model, a forced intercept of 0.15 was specified. The value of 0.15 is the contribution of pure water to the total light attenuation coefficient at a depth of around 2 m (the depth over which k d was calculated (Kelly Dixon, Mote Marine Laboratory, personal communication). Presently, there is no known method for calculating the partial R 2 for each of the multiple regression coefficients when the intercept is forced through a specified value (SAS, personal communication). The regression coefficients in the model represent estimates of the partial light attenuation coefficients for each water quality parameter. The relative contribution of each water quality parameter to total light attenuation (k d) was calculated by dividing the partial light attenuation due to each parameter (product of a regression coefficient and concentration) by total light attenuation (k d).

Results

Freshwater Inflow at S79

The Caloosahatchee River flows at S79 ranged from 0 to 300 m3 s−1 with an average flow of ∼43 m3 s−1 over the sample period and exhibited a distinctive seasonal variability with higher flows (e.g., >43 m3 s−1) in the wet season (May–October) and lower flows (<43 m3 s−1) in the dry season (November–April, except April 2010 when the average flow over the 21 days prior to sampling was about 43 m3 s−1). Our surveys were almost evenly distributed between the two seasons with six cruises in the wet and eight in the dry season based on sampling dates (Fig. 2 and Table 1).

Fig. 2
figure 2

Daily mean flow rate (m3 s−1) at S79 (the solid line) and mean flows (dashed line) from January 2009–January 2011 and averaged daily flows over 21 days prior to sampling dates (open circles). The vertical bars indicate the sampling dates

CDOM Distribution and Variation in the CRE

CDOM in the CRE showed considerable variation with a CDOM(355) ranging from 0.5 to 64.0 m−1 (corresponding to color of ∼1–200 PCU) with an average and standard deviation of 20.0 and 15.0 m−1, respectively. Overall, CDOM showed longitudinal gradients with high concentrations in freshwater (15.0–64.0 m−1) and lower concentrations in the lower estuary and Gulf of Mexico waters (0.5–1.5 m−1), resulting in an inverse relationship with salinity (Fig. 3a and Table 1).

Fig. 3
figure 3

a Relationship between CDOM absorption coefficient (m−1) at 355 nm and salinity. b Relationship between CDOM absorption coefficient (m−1) at 355 nm or color (PCU) collected from station CES01 and flow rates at S79 averaged over 21 days prior to the sample dates. The overlaid lines are linearly fitted curves

Variation of CDOM (a CDOM) at each station appeared to be also related to the freshwater inflow to the estuary. In the freshwater Caloosahatchee River upstream of S79, CDOM increased as discharge increased (Fig. 3b). Similar strong and positive relationships between CDOM and inflow rates were observed at other stations (data not shown here, correlation coefficients ranged from 0.6 to 0.8, p < 0.05 in all cases).

CDOM Mixing Behavior in the CRE

Although there was a strong inverse relationship between CDOM and salinity (Fig. 3), salinity–property plots for the individual surveys revealed three distinct apparent mixing patterns within the estuary: conservative (Fig. 4a), addition of CDOM (Fig. 4b), and loss of CDOM (Fig. 4c). Conservative mixing in the estuary was observed in three surveys, addition of CDOM to the estuary was observed in four surveys, and loss of CDOM from the estuary was observed in six surveys (Table 1). Furthermore, the percent deviation from the hypothetical conservative mixing line appeared related to freshwater inflow rates with conservative behavior or addition of CDOM to the estuary at lower flows and loss of CDOM from the estuary at higher flows (Fig. 5). This deviation is because higher CDOM at higher discharge is still lower than the hypothetical conservative estimate, thus showing apparent “loss” of CDOM during higher discharge. By contrast, decreased CDOM at lower discharge is still higher than the estimate from mixing, showing apparent “addition” of CDOM.

Fig. 4
figure 4

Examples of three different mixing behaviors: a conservative mixing, b addition, and (c) loss of CDOM in the field (filled circles) and in flocculation experiments (open circles)

Fig. 5
figure 5

The relationship between percent deviation from conservative mixing and daily average flow rate at S79 over 21 days prior to sampling

Laboratory Experiments

While apparent mixing in the field exhibited three different patterns, all dilution experiments showed conservative mixing between river and ocean end-members (see the three examples in Fig. 4), suggesting that flocculation was not a major loss process of CDOM during mixing. By contrast, during the photolysis experiments, the concentration of CDOM (as measured by the absorption coefficient at 355 nm) decreased exponentially as a function of cumulative PAR exposure, while no loss was observed in all dark control samples (Fig. 6). This photochemical degradation was observed in all photolysis experiments with estimated photolysis rates (k p) ranging from 0.002 to 0.004 m2 mol−1 (Table 1). Furthermore, the spectral ratio, S R, increased with time over the course of the photolysis experiments (Fig. 7a). This increase was more pronounced when the S R was normalized to the initial values measured on day 0 (Fig. 7b).

Fig. 6
figure 6

An example of the relationship between CDOM absorption coefficient at 355 nm (a CDOM(355), m−1) and the cumulative exposure to PAR (PARcum, mol m−2) during a photolysis experiment conducted in June 2010. Experimental flasks exposed to light (filled circle) and dark control (open circle) flasks

Fig. 7
figure 7

a Absolute changes of ratios of spectral slope (S R) at 275–295 nm to slope at 350–400 nm and b percent changes in S R relative to initial S R with irradiation time (days)

Partitioning of the Light Attenuation Coefficient

The light attenuation coefficient, k d, varied from 0.53 to 3.65 m−1 with an average and standard deviation of 1.5 and 0.69 m−1, respectively. Together, color (CDOM), turbidity, and Chl a explained 96 % of the variation in k d (eq 6). The regression coefficients were all significantly greater than 0 (p < 0.01).

$$ {K}_d=0.15+0.020\times \mathrm{color}+0.069\times \mathrm{turbidity}+0.032\times \mathrm{C}\mathrm{h}\mathrm{l}\ a\left(n = 52,\ {r}^2 = 0.96,\ p < 0.001\right) $$
(6)

Using these coefficients and concentrations of color, turbidity, and Chl a observed in the field, we estimated the relative contribution of color, turbidity, and Chl a to predicted k d at each station from the last four cruises (Table 2). The contribution of CDOM to k d ranged from more than 90 % in the upper estuary to <5 % in the lower estuary with an average of 55 %. By contrast, the contribution of turbidity to k d varied from <5 % in the upper estuary to 79 % in the lower estuary with an average of 23 %. Chl a accounted for 2–24 % of the total light attenuation with an average of 12 % and showed no apparent spatial pattern.

Table 2 Percent contributions (average (minimum–maximum)) of color, Chl a and turbidity to total light attenuation at each station

Discussion

CDOM Distribution

The CDOM absorption coefficient at 355 nm (a CDOM(355), m−1) varied from 0.5 to 64.0 m−1 in this study with 15.0–64.0 m−1 in the upper estuary and 0.5–1.5 m−1 in San Carlos Bay and the Gulf of Mexico in the lower estuary. These ranges are consistent with those commonly observed in oceanic waters (0.5–1.0 m−1) (Rochelle-Newall and Fisher 2002) and those in other subtropical estuaries in southern Florida. Gallegos (2005) found that the CDOM absorption coefficient at 400 nm in the St. Johns River ranged from 14 to 30 m−1, corresponding to 30–60 m−1 at 355 nm if a CDOM spectral slope of 0.015 nm−1 is assumed (Kirk 1994). Similarly, Chen et al. (2007) found that CDOM in Tampa Bay, Florida, varied from 10 to 50 m−1 when converted to the absorption coefficient at a wavelength of 355 nm from reported values at 400 nm using the same slope of 0.015 nm−1. However, these values are much higher (up to one order of magnitude) than CDOM from some larger water bodies such as the Mississippi River (2.0 m−1 at 412 nm or ∼5.0 m−1 at 355 nm, Del Castillo and Miller 2008) and the Chesapeake Bay (2–5 m−1 at 355 nm, Rochelle-Newall and Fisher 2002).

The concentration of CDOM decreased as salinity increased with distance downstream of S79. This observation is consistent with previous studies of the Caloosahatchee (McPherson et al. 1990; Doering and Chamberlain 1999) and is due to mixing of highly colored freshwater with seawater having a relatively lower concentration of CDOM (Fig. 3a). In addition, consistent with previous observations, the concentration of CDOM increased with increasing discharge at S79 (Fig. 3b) (Doering and Chamberlain 1999).

Mixing Behavior

In general, CDOM is thought to behave conservatively in estuaries (Rochelle-Newall and Fisher 2002; Kowalczuk et al. 2003; Chen et al. 2007; Del Castillo and Miller 2008). This expectation is based on observations of higher concentrations of CDOM in freshwater relative to seawater and the assumption that mixing dominates over other processes affecting concentration such as biological release and photochemical reactions.

However, apparent loss of CDOM was observed in the CRE in this study during high freshwater inflows. Laboratory studies indicated that flocculation was not a major loss in the CRE, although other studies have suggested that flocculation and absorptive removal by sediment could be a major loss of CDOM in humic-rich estuaries (Uher et al. 2001). The difference may be due to a lower sediment concentration in the CRE where average total suspended solid (TSS) concentration is ∼15 mg L−1 as compared to sediment concentration required for the observable loss of CDOM due to sediment absorption reported by Uher et al. (2001) where average sediment concentrations were 100–1000 mg L−1. Indeed, Shank et al. (2005) estimated that only 1 % of CDOM can be removed at suspended sediment concentration of 10–20 mg L−1. Similarly, negligible effects of flocculation on CDOM were observed in other rivers with low suspended sediment concentration (Del Castillo et al. 2000).

Laboratory experiments demonstrated that CDOM from the Caloosahatchee was consistently susceptible to photolysis based on decreases in concentration and increases in spectral ratios upon exposure to natural sunlight, similar to the findings of Helms et al. (2008). Previous studies also suggested that CDOM is susceptible to photolysis in estuarine and coastal waters (Chen et al. 2007; D’Sa and DiMarco 2009; Shank et al. 2009). The estimated decay rates (∼0.003 m2 mol−1) imply a half-life (reduction to 50 % initial concentration) of CDOM in the CRE due to photolysis of approximately 1 week (0.53 = exp (−0.003 m2 mol−1 × 30 mol m−2 day−1 × 7 day)) assuming an annual mean PAR of ∼30 mol m−2 day−1 (ranging from 23 to 45 mol m−2 day−1) for the CRE area (unpublished data). This half-life of CDOM is a simplified estimate because attenuation of PAR through the water column was not considered, but the value is similar to the CDOM bleaching rates reported in other subtropical estuarine systems (Shank et al. 2009). Thus, photolysis is at least partly responsible for the observed CDOM loss during periods of high freshwater inflow. More importantly, photolysis does not only directly decrease CDOM concentration but also it stimulates bacterial activity and thus enhances microbial degradation of CDOM because of production of biologically labile products (Miller and Moran 1997; Shank et al. 2009). The photochemical and microbial decomposition of CDOM is likely at the highest level during the period of high freshwater inflow because of coincident high temperature and ample solar irradiation during the wet season. Thus, based on the consistently observed photolysis in the laboratory experiment and its potentially enhanced microbial degradation of CDOM, it is expected that more appreciable CDOM could be lost during the period of high freshwater inflow.

CDOM also showed apparent addition in the CRE when freshwater inflows were relatively lower. Previous studies also found similar results in estuarine and coastal waters (Doering et al. 1994; Rochelle-Newall and Fisher 2002). This additional CDOM relative to conservative mixing is likely due to sources other than inputs from S79. CDOM inputs from other tributaries in the watershed likely contribute to this increase, and their contributions become significant when CDOM input from S79 is relatively small. In addition, CDOM can be produced in situ by phytoplankton (Romera-Castillo et al. 2010), mangroves, sea grass (Shank et al. 2010), and from resuspension of bottom sediments (Boss et al. 2001). Further investigation is needed to clearly identify additional sources of CDOM in the CRE.

It should be noted that the assessment of the mixing behavior of CDOM in the CRE is based on analysis of salinity–property plots. This approach assumes that the concentrations of two end-members vary on a time scale comparable to the estuarine flushing time. When this assumption is invalid, the resulting conservative mixing line is not linear (Officer and Lynch 1981; Cifuentes et al. 1990; Bowers and Brett 2008). We cannot fully evaluate the effects of end-member CDOM fluctuation and variable flushing time due to the lack of high frequency CDOM measurements in the CRE. However, the consistent variation of CDOM mixing behavior from low to high freshwater discharge (Fig. 5) suggests that errors introduced by the assumptions are relatively small.

Light Availability

Our study found light attenuation to be primarily controlled by CDOM in the upper Caloosahatchee Estuary and by turbidity in the more marine San Carlos Bay (Table 2). Including all data, CDOM accounted for an average of 55 % of the light attenuation, with turbidity and Chl a contributing 23 and 12 %, respectively. At all stations, Chl a contributed the least to light attenuation relative to CDOM or turbidity. This low contribution of Chl a to the total light attenuation is consistent with previous results in the CRE (McPherson and Miller 1994; Dixon and J. Kirkpatrick 1999) and other subtropical estuaries (Christian and Sheng 2003; Kelble et al. 2005). However, the relatively low contribution of Chl a to light attenuation in the CRE is different from observations in and other large estuaries (e.g., Chesapeake Bay) and even other south Florida estuaries (e.g., Tampa Bay), where k d was dominated by the variability of phytoplankton and sediment (Gallegos 2001; Le et al. 2013). The differences are mostly due to the higher CDOM concentration in the CRE.

The relative contributions of the three constituents are based on a regression model with a forced intercept of 0.15, which represents the attenuation due to water at a depth of 2 m. An alternative approach is to allow the intercept to be calculated along with the other regression coefficients. With this approach, color (CDOM), turbidity, and Chl a explain ∼87 % (slightly smaller than that using a forced intercept) of the variation in k d with partial R 2 of color, turbidity, and Chl a of 0.84, 0.018, and 0.007, respectively. This approach also results in a larger intercept (0.48 vs. 0.15) and smaller regression coefficients for turbidity (0.038 vs. 0.069) and Chl a (0.015 vs. 0.032), and virtually equal coefficient for color (0.018 vs. 0.019). McPherson and Miller (1994) used this method and derived an intercept of 0.30. Thus, using this approach of unforced intercept does not change the general conclusions: Light attenuation in the CRE is primarily controlled by CDOM (average over all stations =50 vs. 55 %), followed by turbidity (average over all stations =18 vs. 23 %) with chlorophyll a (average overall stations =8 vs. 12 %) contributing the least.

Previous studies have demonstrated the importance of light attenuation in controlling the productivity of phytoplankton and benthic microalgae and the depth distribution of sea grasses in the Caloosahatchee Estuary and San Carlos Bay (McPherson et al. 1990; Dixon and Kirkpatrick 1999; Corbett and Hale 2006). Our study indicates that the apparent mixing behavior of CDOM in the estuarine region of the study area can increase or decrease light attenuation by up to 30 % (Fig. 8). This can have serious ecological consequences for sea grasses in the CRE. Sea grass subsurface light requirements of about 25 % of surface irradiance (Corbett and Hale 2006) dictate the critical depth of sea grass, below which sea grass will not survive. Changes in the light attenuation will also cause changes to this critical depth. For example, during our study, the mean k d at Marker 66 during low flow conditions, when addition of CDOM occurred, was about 1.6 m−1, implying a critical depth of 0.86 m. Assuming conservative mixing under low flow conditions (i.e., addition of CDOM did not occur) would result in a 30 % decrease in light attenuation (Fig. 8), yielding a k d of about 1.2 m−1 and a deeper critical depth of about 1.15 m.

Fig. 8
figure 8

Effect of nonconservative mixing of CDOM on the diffuse light attenuation coefficient (k d) in the Caloosahatchee Estuary and San Carlos Bay. Y-axis is the percent deviation of observed k d from that calculated using a regression model and assuming a concentration based on conservative mixing of CDOM. Data for four cruises are presented

The contribution of Chl a to light attenuation when compared to CDOM and turbidity in the Caloosahatchee and San Carlos Bay has additional management implications. Sea grass management strategies designed to improve water clarity and light penetration by lowering Chl a concentrations through nutrient load reduction have been successful in systems like Tampa Bay where Chl a is a major attenuator of light (Le et al. 2013; Greening et al. 2011). In systems like the Caloosahatchee where CDOM and turbidity dominate light attenuation, the success of such an approach is less assured. Indeed, sea grass modeling results demonstrated a similar system where light is controlled primarily by CDOM and turbidity, and sea grass growth is not very sensitive to changes in Chl a (Buzzelli et al. 2012). Even in Tampa Bay, the beneficial effects of nutrient load reduction on sea grass restoration have been more muted than expected in some areas due to the contribution of turbidity and CDOM to light attenuation (Greening et al. 2011).