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Predicting chlorophyll-a concentrations in two temperate reservoirs with different trophic states using Principal Component Regression (PCR) Cover

Predicting chlorophyll-a concentrations in two temperate reservoirs with different trophic states using Principal Component Regression (PCR)

By: Kemal Çelik  
Open Access
|Mar 2018

Figures & Tables

Figure 1

Çaygören Reservoir and the location of sampling stations
Çaygören Reservoir and the location of sampling stations

Figure 2

Ikizcetepeler Reservoir and the location of sampling stations
Ikizcetepeler Reservoir and the location of sampling stations

Results of principal component analysis for Ikizcetepeler Reservoir

Variables inStandardized weight of variables in selected PC (tik; i = 1, 2, …, 16 and k = 1, 2, 3, 4, 5)Loading of variables (vik)Communalities
123456123456
pH–4.367.673.303.934.094.980.020.240.110.120.330.130.69
SO4–5.16–4.8714.3616.213.014.71–0.01–0.090.280.320.000.060.63
ORP–1.26–1.261.06–2.481.97–0.22–0.13–0.110.09–0.220.070.170.57
Secchi–0.08–0.93–1.922.23–3.77–0.22–0.03–0.09–0.190.220.33–0.370.74
Temp3.551.86–3.353.090.890.850.240.08–0.150.14–0.090.040.86
Chl0.330.340.42–3.054.210.420.080.030.04–0.33–0.010.460.74
TN3.41–2.590.83–0.810.050.0190.19–0.140.04–0.04–0.020.030.73
NO32.49–4.295.07–1.131.412.390.17–0.150.18–0.040.310.050.93
NO2–1.84–0.927.684.442.150.53–0.05–0.030.310.17–0.350.080.74
NH41.76–3.144.44–0.58–0.131.550.17–0.160.22–0.030.27–0.070.94
TP0.714.770.67–2.61–2.280.450.070.290.04–0.160.06–0.140.72
PO40.594.991.70–1.96–2.320.540.060.290.09–0.11–0.02–0.130.69
Cond5.31–2.67–5.700.681.03–0.820.18–0.11–0.230.02–0.110.040.82
TSS–0.39–0.84–3.54–1.122.96–0.11–0.04–0.07–0.30–0.090.240.250.58
BOD–0.670.13–1.172.363.580.720.010.02–0.160.32–0.070.480.71
TDS–2.341.210.481.682.491.37–0.150.130.050.180.360.270.72
COD–0.670.13–1.172.363.580.720.010.02–0.160.32–0.070.480.71

Descriptive statistics of PCs for Çaygören Reservoir

Principle componentEigenvalueCumulative variance (%)
PC14.023.8
PC22.236.8
PC31.847.7
PC41.355.8
PC51.263.4
PC61.069.4
PC70.975.1
PC80.879.7
PC90.783.7
PC100.687.4
PC110.590.3
PC120.492.6
PC130.394.6
PC140.396.3
PC150.397.8
PC160.299.1
PC170.15100

Results of regression analysis (n = 16) with all PCs for Ikizcetepeler Reservoir

Included independent variablesRegression coefficient (bk)Standard deviation of bktPR2 (%)
Constant1.060.156.970.00480.3
Score 10.571.21.970.049
Score 12–5.811.72–3.390.042

Results of regression analysis (n = 17) with six PCs for Ikizcetepeler Reservoir

Included independent variablesRegression coefficient (bk) Standard error of bkStandardized regression coefficientt PR2 (%)
Constant1.01 0.18 5.55 0.0075
Score 11.90 0.890.5012.95 0.048

Results of principal component analysis for Çaygören Reservoir

Variables inStandardized weight of variables in selected PC (tik; i = 1, 2, …, 16 and k = 1, 2, 3, 4, 5)Loading of variables (vik)Communalities
123456123456
pH–0.49–0.06–0.454.88–1.61–0.740.03–0.050.040.48–0.050.010.73
SO42.21–3.483.37–2.60–0.932.45–0.120.040.32–0.15–0.020.250.73
ORP1.21–1.93–0.440.911.271.800.07–0.28–0.020.050.070.160.49
Secchi–1.11–0.88–2.460.624.53–0.420.030.02–0.080.190.570.110.75
Temp4.511.61–2.32–0.890.89–0.710.29–0.34–0.08–0.030.090.010.85
Chl–0.172.740.032.81–4.510.97–0.040.06–0.020.29–0.570.080.78
TN–1.653.431.01–1.37–1.86–0.64–0.040.360.12–0.02–0.050.020.71
NO3–2.211.12–2.653.010.45–1.26–0.050.34–0.090.360.160.020.61
NO2–4.486.69–0.692.420.950.21–0.310.04–0.090.090.01–0.030.85
NH4–1.950.97–0.820.34–0.19–1.99–0.180.44–0.030.050.04–0.110.78
TP0.21–0.242.621.07–0.31–4.57–0.040.020.120.03–0.08–0.440.61
PO4–0.06–0.034.59–1.92–1.41–1.800.060.040.38–0.06–0.06–0.050.59
Cond2.13–1.42–2.28–3.551.382.370.12–0.02–0.17–0.230.070.130.68
TSS–1.37–3.114.011.65–2.420.520.020.010.310.18–0.030.120.45
BOD3.19–4.302.25–2.310.54–0.630.31–0.070.25–0.010.160.090.81
TDS–0.73–1.08–0.04–0.97–1.294.730.05–0.140.130.02–0.090.680.71
COD3.42–1.720.151.21–3.670.590.25–0.180.010.09–0.250.050.72

Results of regression analysis (n = 17) with six PCs for Çaygören Reservoir

Included independent variablesRegression coefficient (bk)Standard error of bkStandardized regression coefficienttPR2 (%)
Constant1.20.34 3.730.00271
Score 31.320.750.42.560.05

Residual statistics (n = 17) for Ikizcetepeler Reservoir

MeanStandard deviationMinimumMaximum
Predicted value1.110.53–0.491.81
S.E. of predicted value0.190.080.150.50
Residual0.000.59–0.701.80
Standard residual0.000.96–1.152.96
Cook’s distance0.080.160.000.57

Results of regression analysis (n = 16) with all PCs for Çaygören Reservoir

Included independent variablesRegression coefficient (bk)Standard deviation of bktpR2 (%)
Constant1.140.33.790.0276.8
Score 70.77–2.21.80.049
Score 103.421.562.20.041
Score 120.80.52.080.045

Residual statistics (n = 17) for Çaygören Reservoir

MeanStandard deviationMinimumMaximum
Predicted value1.260.660.282.52
S.E. of predicted value0.400.11–1.471.89
Residual0.001.176–2.352.93
Standard residual0.000.97–1.912.41
Cook’s distance0.060.070.011.61

Observed and predicted Chlorophyll-a values for Çaygören Reservoir

ObservationsObserved values (mg l–1)First approach predicted values (mg l–1)Second approach predicted values (mg l–1)
11.750.74621.5680
22.042.46652.0199
32.001.21191.8576
41.210.99171.1429
51.260.65380.9731
61.090.6210.8199
70.991.42810.9911
81.110.50031.2811
90.821.29260.6984
100.990.99120.8931
111.661.59721.8327
121.232.21351.2346
130.960.92091.2511
145.451.84125.4829
150.551.60930.392
161.011.61141.1065
171.041.51.34

Observed and predicted Chlorophyll-a values for Ikizcetepeler Reservoir

ObservationsObserved values (mg l–1)First approach predicted values (mg l–1)Second approach predicted values (mg l–1)
11.621.52041.420
20.990.84110.790
3–0.700.7428–0.550
40.920.63610.780
50.942.08580.9100
63.342.07323.200
70.690.97320.6300
80.740.88940.6200
90.790.91330.6800
101.160.80231.000
111.711.69371.500
121.170.75731.110
131.101.32450.980
141.271.04661.150
150.950.8810.830
161.050.5590.900
171.030.981.100

Descriptive statistics of PCs for Ikizcetepeler Reservoir

Principle componentEigenvalueCumulative variance (%)
PC13.923.2
PC22.538.0
PC31.949.1
PC41.658.6
PC51.466.7
PC61.273.8
PC70.979.1
PC80.883.7
PC90.787.6
PC100.590.5
PC110.493.1
PC120.394.9
PC130.396.5
PC140.398.1
PC150.299.3
PC160.199.9
PC170.01100
DOI: https://doi.org/10.1515/ohs-2018-0001 | Journal eISSN: 1897-3191 | Journal ISSN: 1730-413X
Language: English
Page range: 1 - 9
Submitted on: Jul 27, 2017
|
Accepted on: Sep 4, 2017
|
Published on: Mar 13, 2018
Published by: University of Gdańsk
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2018 Kemal Çelik, published by University of Gdańsk
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.