1. Introduction
In recent years, with the gradual progress of China’s industrialisation and agricultural modernisation, and the continuous improvement of its economic status, a large amount of wastewater and agricultural or domestic sewage has been discharged into oceans or rivers, leading to increasingly serious water pollution [
1,
2,
3,
4,
5]. The deterioration of a water resource poses a serious threat to human life and health. The degree of organic matter pollution of a water body can generally be expressed in terms of its total organic carbon (TOC) or dissolved organic carbon (DOC). Meanwhile, organic carbon in water is an important component of the biogeochemical system and also a key indicator for marine carbon cycle and climate research [
6,
7,
8,
9].
The general method for analysing TOC or DOC in water is generally by high temperature catalytic oxidation (HTCO) or wet chemical oxidation (WCO) [
10,
11,
12], which is often utilized in modern TOC analyzers. In the above two methods, all carbon in the water is oxidized to carbon dioxide and the total organic carbon is then determined by measuring the weight of the carbon dioxide using a series of specialized instruments to remove interference from inorganic carbon and collect the carbon dioxide. While these standard methods are accurate, they have drawbacks in practical applications, such as long consumption times, expensive equipment and susceptibility to secondary contamination. Thus, ion chromatography [
13], HPLC-SEC [
14], spectrometry [
15,
16], etc., have emerged as new rapid detection methods for organic carbon in recent years. Due to the advantages of rapid detection and simple instrumentation, and the fact that it requires no additional chemical reagents, the spectroscopic method is currently a relatively inexpensive and widely used measurement method. This method analyzes and measures information by establishing the mapping relationship between organic carbon and spectral parameters [
17,
18].
Kim and Ji [
19] proposed an optical system which uses UV LEDs (280 nm) and photodetectors to determine the content of organic compounds in water. Causse et al. [
20] used a combination of second order derivatives at 226 and 295 nm for DOC and nitrate measurements in small rivers in agricultural watersheds, correcting for the effect of nitrate on the long-range UV absorption spectra. Carter et al. [
21] accurately predicted dissolved organic carbon from absorbance at 270 nm and 350 nm. Peacock et al. [
22] found a strong correlation between DOC and absorbance at wavelengths of 230 and 263 nm. Wang et al. [
23] showed a very high regression correlation between the area below 250–350 nm spectra and the concentrations of natural organic matter (NOM) in water. Avagyan et al. [
24] added 600 and 740 nm in combination with the traditional 254–400 nm wavelengths using PLS and multiple stepwise regression (MSR)to improve the accuracy of DOC measurements.
In addition to some wavelength combination methods, some scholars use the full spectrum to predict organic content through chemometric methods. Dahlen et al. [
25] used first order derivative spectroscopy in the 200–300 nm range and a PLS algorithm to obtain a detection model for non-purgeable organic carbon (NPOC). Liu and Wang [
26] used PLS regression analysis to establish a model relationship between the UV-VIS spectrum and TOC, COD of seawater samples along the coast of Tianjin Bohai Bay. Lourenço et al. [
27] used a PLS algorithm to build a UV-VIS spectral TOC detection model for water samples (high concentration) collected at the outlet of a wastewater treatment plant. Zhang et al. [
28] predicted TOC and TSS in a river confluence near Sherfield-on-Loddon based on UV–VIS spectrometry and artificial neural networks (ANN).
Table 1 shows the modelling methods and a performance comparison of the above studies.
However, there are few high-accuracy and rapid quantitative studies of TOC directly targeting natural and complex water bodies in multiple regions in the above-related explorations. Therefore, in this paper, a TOC quantification model based on UV-VIS spectroscopy and a deep convolutional network is proposed. This detection model was trained on ocean and river estuary water sampled in several provinces. The model performance of the TOC concentration quantification was evaluated on the test dataset.
2. Materials and Methods
2.1. SE-Inception Network
2.1.1. Inception Principle
Convolutional neural networks (CNN) is a popular algorithm in the field of artificial intelligence and has achieved excellent results in the field of computer vision, starting from LeNet [
29] in 1998, until AlexNet [
30] renewed attention was paid to the algorithm in 2012. As the computability of computers improved, VGG [
31], ResNet [
32] and others network structure have emerged, and CNN is becoming deeper and more complex, with its performance improving at the same time.
A typical convolutional network structure is depicted in
Figure 1. The initial input tensor passes through a convolutional layer, pooling layer, and flatten layer, respectively, to obtain the desired output results.
Inception [
33] is also a deep learning network based on CNN networks and it solves the problem of excessive stacking parameters in multiple convolutional layers, transforming the network from deeper to wider. The Inception network designs a network with an excellent local topological structure, which performs multiple convolution or pooling operations on the input tensor in parallel and concatenates all output results into a very broad feature map. Inception networks typically consist of several Inception modules connected in series.
Figure 2 illustrates the structure of the classical Inception module, which passes the input tensors through the layer that 1 × 1 convolution, 1 × 1 and 3 × 3 convolutions, 1 × 1 and 3 × 3 convolutions, pooling layer and 1 × 1 convolution, and concatenates the above calculation results into the output.
2.1.2. SE Module
The structure of the SE (squeeze and excitation) module [
34] is shown in
Figure 3. The SE blocks can be thought of as an attention function that is used for any given transformation
. In deep learning,
is usually a convolutional operator. Input tensor
is transformed to
by
.
First, the global spatial information of the tensor U is squeezed into the channel descriptor so that it to be utilized by other input layers. The statistic
is calculated by:
Subsequently, each channel learns a function of specific samples which enables the use of global information, effectively emphasizing information features and suppressing less useful features through a channel-dependent self-selection gate mechanism with a sigmoid activation. ReLU activation is applied to limit complexity:
where
and
, ratio
r choss 16 in this article to effectively balance accuracy and complexity.
Finally, the result is obtained by weighting the previous weight to the input features channel by channel through multiplication:
where
and
represents the result of channel-weighting multiplication between the scale
and the feature tensor
. Different colors in the tensor
in
Figure 3 represent different weights assigned in the channel.
2.1.3. 1D-SE-Inception Block
Due to the fact that the UV-VIS absorption spectra collected in this article are 1D data, and the original Inception network input is 2D image data, the convolutional kernel in this article was accordingly changed from a 2D structure to a 1D structure, i.e., the convolutional kernel 1 × 1, 3 × 3 was transformed to 1 × 1, 1 × 3. The 1D-InceptionV1 network converted a 5 × 5 convolutional kernel into a 1 × 5 convolutional kernel. The 1D-Inception V2 network converted a 1 × 5 convolutional kernel into double 1 × 3 convolutional kernels to improve network performance and reduce computational complexity. The 1D-Inception was added to an SE module which was the specific structure of connecting two fully connected layers after the global pooling layer. The size of the first FC layer was
with the ReLU activation function, the size of second FC layer was
with the sigmoid activation function. The 1D-SE-Inception block is depicted in
Figure 4.
2.1.4. 1D-SE-Inception Network Structure
The 1D-SE-Inception network structure used in this experiment is shown in
Figure 5. The first part of
Figure 5 shows the initial input block of the network. First, the overall features of the input spectra were extracted by 1 × 7 convolutional layers, then the size was reduced by max-pooling layers. Second, the detailed features of the input spectra were extracted by 1 × 3 and 1 × 3 convolutional layers, then the size was reduced by max-pooling layers.
The second part consists of two 1D-SE-Inception blocks. SE blocks are added to the Inception block to assign weights to different information and suppress redundant information, thus improving the model’s ability to extract spectral features. The superposition of two 1D-SE-Inceptions increased the depth of the network, allowing it to fully extract network features and achieve a balance between accuracy and complexity.
The third part is the output block. The features extracted from the 1D-SE-Inception network pass through the average pooling layer, the full connection layer, and then the ReLU activation function calculates the TOC concentration.
2.2. LSSVM Model
The least squares support vector machine (LSSVM) is an extension of SVM that uses the least squares system as a loss function to replace the quadratic programming problem of the traditional SVM, transforming the problem into one of solving a set of equations.
If the sample from the water spectrum data is
, its regression function
is expressed as:
where
is the weight vector,
is the mapping function from input information space to high-dimensional space, and the
is the offset.
The optimization problem for regression correspondence is
where
is error variable of the ith data,
is the penalty parameters for error adjustment.
The corresponding Lagrange function is
According to the KKT and Mercer conditions, the regression function is
where
,
,
,
.
This paper adopted an RBF kernel function:
2.3. Experiment
2.3.1. Water Sampling
Water samples for this investigation were collected over four seasons from 2019 to 2023 from the marine areas, river estuaries and lakes in Qinhuangdao, Hebei Province, Weihai, Shandong Province, Tianjin, etc. Water samples were collected in 500 mL brown reagent bottles and always stored in a refrigerator at 4 °C prior to testing in order to restrain and slow down the oxidative consumption of organic matter by microorganisms.
2.3.2. TOC Measurements
The concentration of total organic carbon was analyzed by TOC-L CPH (Shimadzu, Japan), which used the 720 °C combustion catalytic oxidation method and the non-dispersive infrared absorption method to measure carbon dioxide. There were 390 water samples with a TOC ranging from 1.470–18.37 mg/L.
2.3.3. UV-VIS Absorption Spectroscopy Measurement
The water sample was restored to room temperature prior to UV-VIS spectral measurement. The UV-VIS absorption spectroscopy measurements of water samples were performed using AvaSpec-2048 Ultraviolet Visible Fiber Spectrometer (Avantes, Apeldoorn, The Netherlands), AvaLight-DH-S-BAL Deuterium/Halogen Combined Fiber Optic Source and a quartz cell with 10 mm path length. The integration time was set to 2 ms with an average of 200 sampling times and the wavelength ranged from 200 nm to 600 nm. Water sample spectra were collected three times and the average of the spectra was taken.
All calculations were carried out on a personal computer equipped with a Windows 10 operating system. The deep convolutional network model used the PyCharm IDE (version 2020.1), Python 3.7 and the Tensorflow 2.0 framework.
2.4. Assessing the Performance of the Model
Generally, Pearson
r and RMSE are generally used to evaluate model performance. The Pearson
r statistic ranges from −1 to 1 and the closer to 1 the value of R, the better the detection performance of the model. The closer the RMSE is to 0, the better the model’s ability to detect the following
in which
is the real concentration of TOC and in which
is the predicted concentration of TOC.
3. Results
3.1. UV-VIS Absorption Spectra of Real Water Samples
The UV-VIS absorption spectra of 390 samples with different TOC concentrations in different regions from 2019 to 2023 were measured experimentally. Due to limited space, only some spectra of the samples were plotted, as shown in
Figure 6.
As shown in
Figure 6, the absorption of UV-VIS light by substances in the water is mainly concentrated in the 200–450 nm range, while the spectral absorbance in the 450–600 nm range remains essentially unchanged. Although there is a strong absorption peak near 220 nm, this may be due to the absorption of inorganic compounds such as nitrate or the absorption of humus ubiquitously found in the water. It is impossible to distinguish the substances and contents corresponding to this absorption peak, so it is retained. In the subsequent process, the data-driven mode was selected, that is, the subsequent computation of the neural network was used for feature extraction or suppression. The absorbance of 450–600 nm was mainly due to the undifferentiated scattering of light by turbidity caused by insoluble substances, which contained noise information and less information. For these reasons, a wavelength range of 200–450 nm was chosen for the subsequent modelling.
3.2. Deep Convolutional Network Approach
To illustrate the performance of these TOC concentration detection model, 390 samples were collected. According to a ratio of 8:2 between the training set and the test set, 312 samples were randomly selected as the training set and the remaining 78 samples were used as the test set. The TOC concentrations of the training set ranged from 1.470 to 18.37 mg/L, while the testing set ranged from 1.597 to 11.82 mg/L. On each of these training sets, 1D-Inception V1, 1D-Inception V2, 1D-SE-Inception V1, 1D-SE-Inception V2 approaches were fitted to the data and computed the resulting root mean square error on a test set. Quantitative TOC detection models established by different algorithms were evaluated using Pearson correlation coefficients (r) and root mean square error (RMSE).
The results of the quantitative detection model by the different network structures are shown in
Table 2. Rc and RMSEC represent the correlation coefficient and RMSE of the train set, and Rp and RMSEP represent the correlation coefficient and RMSE of the test set. As shown in
Table 2, it can be seen that all the deep learning networks were able to achieve a good model performance, and that among them, 1D-SE-Inception V2 performed the best. The Rp of 1D-SE-Inception V2 increased by approximately 2.36% compared to 1D-Inception V1 and the RMSEP of 1D-SE-Inception V2 decreased by approximately 44.91% compared to 1D-Inception V1.
A comparison between the predicted and true values in the train set and test set of the water samples of the best detection model is shown in
Figure 7. The abscissa in the figure is the sample number and the ordinate is the TOC concentration value. The errors between the predicted values and the true values in both the train and test sets are relatively small. Few samples have significant errors due to the complexity of the real water and the diversity of the water composition. Specifically, the number of samples taken close to the samples with large errors was small, or there may have been confounding factors, such as rainwater and sewage discharge prior to sampling, which resulted in significant differences between the types of organic matter in the water body and traditional water bodies, leading to slightly larger detection errors. The relationship of the predicted and true TOC in the train set is plotted in
Figure 8a. The correlation coefficient
r = 0.9996 and RMSE = 0.0772 indicated that the 1D-SE-Inception V2 network almost reduced the whole deviation in the train set.
The model trained on the train set was applied to the test set, and the relationship of the predicted and true TOC of test set is plotted in
Figure 8b. The Pearson correlation coefficient
r statistic of the best deep learning networks model was 0.9843, which gave a measure of the linear relationship between the predicted and true TOC content. The RMSE was 0.3814, which indicated that the predicted TOC concentrations were close to the TOC concentrations measured by the standard method. As shown above, the SE block effectively assigned weights for features extracted from Inception blocks and suppressed useless redundant information. Results indicated that 1D-SE-Inception V2 can effectively extract the features of UV-VIS absorption spectra and establish an inversion relationship between TOC concentration and UV-VIS absorption spectra, driving the RMSE of the best regression model to approach zero.
3.3. LSSVM Approach
The LSSVM algorithm is a classical modeling method, which has minimal structural risk and high robustness, and is commonly used in spectral quantitative or qualitative analysis. In this paper, LSSVM was based on the SVM toolkit written by Professor Chih-Jen Lin at National Taiwan University. The best LSSVM model result of train set is shown in
Figure 9a. The Pearson correlation coefficient
r statistic on the train set is 0.9870 and the RMSE is 0.4059, which means that LSSVM performs well on the train set. The results of the LSSVM prediction of TOC concentrations on the test set are shown in
Figure 9b. The Pearson correlation coefficient
r statistic on test set is 0.9392, which means that the predicted values and true values are only close to linear. The RMSE on the test set was 0.7723, indicating that the model built by the LSSVM algorithm has a slightly poor fitness on the test set. The reason for this is that the LSSVM has a slightly weaker feature extraction capability compared to deep convolutional networks and may not be able to fully extract a large amount of spectral information from real water samples.
4. Discussion
The difference between the LSSVM and deep convolutional networks results can be understood not by the considerable amount of UV-VIS spectral information from the complex real water samples, but by the different abilities of the two different methods to utilise complex information for inversion. In general, the advantage of LSSVM lies in the small number of parameters, the rapid training speed, and the ability to train with very small sample sizes. Meanwhile, the feature extraction and modelling capabilities of LSSVM will be relatively poorer in this application scenario than the deep convolutional networks method. Comparing the structures of 1D-Inception V1 and V2, V2 structure replaced the 1 × 5 convolution with two 1 × 3 convolutions, which improved the model’s ability to express spectral features and thus reducing its prediction error. Comparing the results with, and without, SE modules,
Table 2 shows that 1D-Inception V1 and V2 with SE block has significantly improved the
r and RMSE. This indicates that the SE block utilizes convolutional spectral features extracted from different channels and assigns different weights to enhance feature information and suppress the interference from useless information.
However, although 1D-SE-Inception V2 can provide a relatively adequate analysis of TOC concentrations in UV-VIS absorption spectra data when applied correctly, it may not be flawless in every region. A small number of special samples from different regions or with different distributions of certain components may have a significant impact on the accuracy of the established model, leading to unsatisfactory prediction results. In practice, these problems are unavoidable, but the impact will be gradually reduced by continuously increasing the number of real samples covering different water components.
5. Conclusions
TOC refers to the total carbon content of suspended or dissolved organic matter in water, which can more comprehensively reflect the total amount of organic pollutants in water. This is also of great importance in the study of the Earth’s carbon cycle and climate. Although traditional standard detection methods are accurate, they are time-consuming and labour-intensive. Therefore, it is of great importance to develop a rapid and convenient quantitative detection method for TOC in practical applications. In this study, samples collected from oceans and rivers in several cities in China were analyzed in the laboratory using a UV-VIS absorption spectrometer. The network structure was redesigned to be suitable for one-dimensional spectra, and the inversion relationship between TOC concentration and UV-VIS absorption spectra was established by 1D-Inception V1&V2 and 1D-SE-Inception V1&V2 network structures. Comparing the effects of different structural models, small convolutional kernels improved the ability to express spectral features, and SE blocks allocated weights of different channels to enhance feature information, suppress interference from useless information, and thus reduce prediction errors. The comparison with the LSSVM method further indicated that deep convolutional networks provide better performance in TOC prediction. An optimal detection model was established using 1D-SE-Inception V2, with an Rc = 0.9996 and RMSEC = 0.0772 in the train set and an Rp = 0.9843 and RMSEP = 0.3814 in the test set. Rapid and accurate measurements of TOC in water can be achieved by using UV-VIS absorption spectroscopy and deep convolutional networks.
The research results of this paper have important application value in the fields of abnormal water-quality detection, carbon monitoring systems and spectral analysis. On the one hand, researchers can deploy micro-ultraviolet absorption spectrometers on buoys or measure continuously on land. The TOC can be determined with a high degree of temporal resolution and the changes in concentrations over a long period of time can also be observed by means of on-site UV-VIS spectroscopy. The ability to track small timescale changes in TOC is a valuable means of monitoring water-quality anomalies and the ocean’s carbon sink and cycle. On the other hand, the 1D-SE-Inception neural network was applied to the detection of TOC and showed good results when the corresponding network structure was modified. The work of this article has significance for the application of the 1D-SE-Inception model in spectral TOC detection and may both inspire and provide strong support for the application of neural networks in quantitative spectral analysis.
In future work, higher sampling frequencies and more water samples from different regions may improve the predictive accuracy of the detection models. With the help of time series analysis, real-time pollution alerts can be achieved and early warnings for biological disasters, such as red tides, may be provided.
Author Contributions
Conceptualization, W.B. and G.F.; Data curation, X.F.; Formal analysis, Y.L.; Funding acquisition, W.B. and G.F.; Investigation, Y.L., W.B., Y.J. and B.W.; Methodology, Y.L. and Y.J.; Project administration, W.J. and X.F.; Supervision, W.B. and X.F.; Validation, B.W.; Writing—original draft, Y.L. and Y.J.; Writing—review & editing, W.B., W.J., G.F. and X.F. All authors have read and agreed to the published version of the manuscript.
Funding
This research was funded by National Key R&D Program of China [Grant No. 2017YFC1403800]; National Key R&D Program of China [Grant No. 2019YFC1407904]; S&T Program of Hebei [Grant No. 205A3901D].
Data Availability Statement
Data sharing not applicable.
Conflicts of Interest
The authors declare no conflict of interest.
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