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Biology 381
Pollution Biology

Department of Biological Sciences
University of Alberta
Edmonton, Alberta

15.  The concept of multiple stresses.

15.1 Required Reading and other announcements.

No required reading.


15.2  Experimental control.

Research using controlled environment conditions allows scientists to control most, if not all, environmental factors.

If all other environmental factors are controlled, then changes between two treatment groups must reflect either...

green-button.jpg (1221 bytes) natural biological variation, or
green-button.jpg (1221 bytes) the effect of the imposed treatment.

Statistics allow us to make reasonable conclusions regarding the likelihood that natural biological variation or random variation will lead us to incorrect interpretations of experimental data.

A properly designed, carefully controlled experiment can provide concrete information about the effect of a particular pollutant on plant growth.

Is this type of information sufficient for a complete understanding of the phytotoxicity of a given pollutant?

When several pollutants occur together in nature, the potential exists for additive, multiplicative, antagonistic, and synergistic interactions.

15.3 Early studies on potential interaction between pollutants.

The potential for Interaction between O3 and SO2 on growth of Nicotiana tabacum (tobacco).

Low concentrations of either O3 or SO2 did not produce foliar damage symptoms.

When the two pollutants were supplied together (at the same low concentrations), 23-48% of leaves showed foliar injury typical of ozone injury.

Interaction between O3 and SO2 on growth of other crop species.

  Sulphur dioxide/ozone concentrations (ppm)
Plant species 0.5/0.05 0.1/0.1 0.25/0.1 0.5/0.1
Alfalfa - + + +
Brassica + + 0 0
Broccoli 0 0 0 +
Radish 0 + + +
Tomato 0 - 0 0
Tobacco + 0 + +

A summary of the effects of sulfur dioxide and ozone mixtures on foliar injury. Data from Tingey et al., 1973.  Cited in Reinert et al., 1975. +, injury greater than additive.  0, injury equal to additive. -, injury less than additive. 

The type of interaction depends on

green-button.jpg (1221 bytes) the species of plant studied,
green-button.jpg (1221 bytes) the absolute concentration of the pollutants,
green-button.jpg (1221 bytes) and the ratio of the pollutants.

15.4 The additive and multiplicative models. Defining the lack of interaction.

In early studies, the toxic effects of pollutants were said to be additive if the growth reduction under conditions of multiple pollutant stress (expressed as a fraction of control growth) was equal to the sum of growth reductions produced by the individual pollutants in isolation).

Treatment Growth
(% of control)
Growth Reduction
Control 100 0
Ozone alone 80 20
SO2 alone 80 20
Ozone plus SO2 60 40

The additive model:

Expected growth reduction for combined treatment:
     (0.20 + 0.20) = 0.40

Expected growth for combined treatment:
     1.00 -(0.20 + 0.20) = 0.60

In later studies, the effect of pollutants were said to be additive if relative growth under conditions of multiple pollutant stress (expressed as a fraction of control growth) was equal to the product of the relative yields produced by the individual metals in isolation.

Treatment Growth
(% of control)
Growth Reduction
Control 100 0
Ozone alone 80 20
SO2 alone 80 20
Ozone plus SO2 64 36

Multiplicative model:

Expected growth for combined treatment:
     (0.80 x 0.80) = 0.64

Expected growth reduction for combined treatment:
     1.00 - (0.80 x 0.80) = 0.36

The multiplicative model is now the most commonly accepted model that describes the lack of interaction.

15.5 Defining antagonistic and synergistic interactions.

Synergistic effects: Relative growth < Multiplicative

Antagonistic effects: Relative growth > Multiplicative.

The definitions of "additive" have not always been made explicit in the current literature.

Statistical treatment of interaction studies has also been largely lacking.

15.6 Dose-response.

nickel-dose.jpg (31954 bytes)

Taylor, Unpublished results.

Features of dose-response relationships

green-button.jpg (1221 bytes) Toxicity threshold - the concentration of the pollutant above which toxic effects first become manifest. Toxicity thresholds are often defined as the concentration which cause a 10% reduction in yield.

green-button.jpg (1221 bytes) Non-toxic range - below the toxicity threshold, the pollutant has no measurable impact on plant performance (or < 10%).

green-button.jpg (1221 bytes) Toxic range - above the toxicity threshold, increasing concentrations of the pollutant have a negative impact on plant performance.

green-button.jpg (1221 bytes) Unit toxicity - in the toxic range, addition of an additional unit of pollutant will have a defined effect on plant performance. Unit toxicity varies with the amount of pollutant present in the system, and is reflected by the slope of the dose response curve.

green-button.jpg (1221 bytes) Saturation threshold - in some cases, a given concentration of pollutant will "saturate" the toxic response, and further increases in pollutant supply will not result in further reductions in plant performance.

copper-dose.jpg (32412 bytes)

Taylor, Unpublished results.

green-button.jpg (1221 bytes) Deficiency threshold - the concentration of the pollutant below which deficiency effects first become manifest. Deficiency thresholds are often defined as the concentration which cause a 10% reduction in yield.

green-button.jpg (1221 bytes) Deficiency range - below the deficiency threshold, decreasing concentrations of the pollutant has a negative impact on performance.

Most studies on pollutant interactions fail to make full use of the full dose response relationship.

15.7 Modeling the additive and multiplicative models, antagonistic, and synergistic interactions.

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Full dose response (100% - 0%)

How would the additive and multiplicative models differ in terms of their predictions of growth when a second pollutant is added to the system?

Additive-full.jpg (40858 bytes)

The additive model, full dose response (100% - 0%).

Muliplicative-full.jpg (40521 bytes)

The multiplicative model, full dose response (100% - 0%).

Differences in the predictions of the two models seem small but, we might want to refine the data somewhat to make it more realistic.

It will be virtually impossible to achieve 0% growth under experimental conditions.

Dose-rest.jpg (33994 bytes)

Restricted dose response (100% - 20%).

What would the two models predict with this restrictive assumption?

Additive-rest.jpg (42447 bytes)

The additive model, restricted dose response (100% - 20%).

Muliplicative-rest.jpg (41337 bytes)

The multiplicative model, restricted dose response (100% - 20%).

Both of these strict mathematical interpretations break the imposed assumption that growth cannot fall below 20% of control.

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The additive model, restricted dose response (100 – 20%), 20% absolute minimum.

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The multiplicative model, restricted dose response (100 – 20%), 20% absolute minimum.

We must be clear not only about the definition of our models, but also about the behaviour of the plant in response to pollution stress.

Growth values predicted at pollution level 60 by the various interaction models, with and without our biological assumptions.

Predicted growth (% of control) at pollution level 60

Dose Response Full  (100%-0%) Restricted (100%-20%) Restricted (100%-20%)
Assumptions 0% Abs Min 0% Abs Min 20% Abs Min
1o Pollutant alone 18% 34% 34%
Combined (Add.) 0%  14% 20%
Combined (Mult.) 14% 27% 31%

Are the various simulated data scenarios realistic?

A restricted dose response with some absolute minimum is probably the most realistic.

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Manganese/Nickel Dose Responses.

Ni x Zn.jpg (35978 bytes)

Zinc/Nickel Dose Responses.

If pollutant-pollutant interactions other than simple multiplicative interactions do occur in nature...

green-button.jpg (1221 bytes) What is the nature of the interaction (antagonistic or synergistic)?

green-button.jpg (1221 bytes) What is the concentration of each pollutant with respect to their injury thresholds when supplied in isolation?

green-button.jpg (1221 bytes) What is the ratio of the concentrations of the pollutants?

green-button.jpg (1221 bytes) Are the pollutants applied simultaneously, sequentially, intermittently?


15.8 Additional world wide web information.

The World Wide Web has little information about the nature of interactions between pollutants.  The following articles in the scientific literature provide detailed background if you are inclined to explore.

Taylor, G.J., 1989.  Multiple metal stress in Triticum aestivum.   Differentiation between additive, multiplicative, antagonistic, and synergistic effects.  Can. J. Bot. 67: 2272-2276.

Taylor, G.J., Stadt, K.J., and Dale, M.R.T., 1991.  Modelling the phytotoxicity of aluminum, cadmium, copper, manganese, nickel, and zinc using the Weibull frequency distribution.  Can. J. Bot. 69: 359-367.

Taylor, G.J., Stadt, K.J., and Dale, M.R.T., 1992.  Modelling the interactive effects of aluminum, cadmium, manganese, nickel and zinc stress using the Weibull frequency distribution.  Environ. Exp. Bot. 12: 281-293.


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