Skip to main content

Table 1 Quantification of the fit between the observed and predicted combined effect of the toxicant: experimental observations and predictions of toxicant effect on Daphnia magna exposed to esfenvalerate alone and in combination with prochloraz concentrations under high- and low-food conditions

From: Modeling the synergistic effects of toxicant mixtures

Time point

Food level

Prochloraz

RMSE

Observedb

Predictedc

MDRd

(μg/L)

SAa

CA

EA

LC50

LC50

SAa

CA

EA

Day 21

Low food

0

0.098

1

6.0

8.3

5.6

0.048

0.079

1.7

3.2

0.93

32

4.2

17

10

0.0066

0.0023

0.34

25

6.8

100

5.8

25

18

0.0003

0.0008

2.8

660

150

High food

0

0.49

1

6.8

3.1

3.1

0.55

0.59

0.77

0.94

0.94

32

8.4

17

16

0.19

0.21

1.4

2.8

2.6

100

4.9

14

13

0.20

0.22

1.0

2.7

2.6

Day 7

Low food

0

0.13

1

5.9

9.7

6.8

0.053

0.11

2.1

2.8

1.4

32

4.1

15

9.8

0.012

0.017

1.4

14

6.2

100

7.7

25

19

0.001

0.0032

3.2

240

75

High food

0

0.53

1

5.6

4.4

4.4

0.65

0.49

0.80

0.82

0.82

32

8.0

14

14

0.26

0.33

1.2

2.1

2.0

100

7.4

13

13

0.25

0.19

0.71

2.2

2.1

  1. Predictions with different approaches for combining stressors: Stress-Addition according to the Multi-TOX approach (SA), effect-addition (EA) and concentration-addition (CA). Whole curve estimates of combined toxicant effect: root mean square error (RMSE). Point estimate (LC50) of combined toxicant effect: model deviation ratio (MDR)
  2. aSA (stress addition) calculated according to the Multi-TOX approach. For low food 81% SA, for high food 38% SA
  3. bObserved LC50 calculated with the mean survival of all experimental repetitions, fitted with ECx-SyS
  4. cPredicted LC50 based on the concentration–response relationships of single toxicants modeled with stress addition according to the Multi-TOX approach
  5. dMDR values are calculated by dividing the predicted LC50 of SA, CA, EA by the observed LC50. For values of CA > 2, interactions between stressors are interpreted as synergistic related to CA