Interactions of Limiting Factors (AQA GCSE Combined Science: Trilogy): Revision Note
Exam code: 8464
Interactions of Limiting Factors
Higher tier only
More than one limiting factor can have an effect on the rate of photosynthesis
Graphs may show the effect of two factors interacting:

The rate of photosynthesis increases with increasing light intensity, temperature and carbon dioxide
At the start of the graph, the rate of photosynthesis is limited by the light intensity so both lines are showing the same rate.
As the light intensity increases the rate of photosynthesis at 15℃ is lower than 25℃.
Both lines level off, this shows that light intensity is no longer the limiting factor.
Graphs may show the interactions between three different factors, the graph below shows the relationship between temperature, carbon dioxide as light intensity is increased:

The rate of photosynthesis increases with increasing light intensity, temperature and carbon dioxide
All three experiments level off when light intensity is no longer the limiting factor.
In the top line, this has the highest temperature and concentration of carbon dioxide so the rate of photosynthesis is much higher.
In experiment 2, the concentration of carbon dioxide is the limiting factor.
In this graph, the rate of photosynthesis is controlled by carbon dioxide levels.
Light intensity
Higher tier only
The inverse square law shows the relationship between light intensity and distance:
As the distance increases the light intensity decreases
This means that light intensity and distance are inversely proportional to each other
If the distance doubles, the intensity decreases by a factor of four
This is called the inverse square law and shown by the equation below:
light intensity ∝
Where:
∝ = proportional to
d = distance
Examiner Tips and Tricks
Because it is a proportional relationship, calculating 1/distance2 does not give the absolute light intensity value (which would typically be measured in lux). Instead, it provides a mathematical measure of relative light intensity and should be written as arbitrary units.
An exam question assessing this might present a table of distances and ask you to calculate the light intensity for a missing row to complete the table. For example, if the lamp is placed 20 cm away, the student would apply the inverse square law (1/d2) to process the data as follows: 1/202 = 1/400 = 0.0025 arbitrary units.
Worked Example
Calculate the relative light intensity when the distance of the plant is 30cm from the lamp.
Answer:
Use the equation:
light intensity ∝
Fill in the values you know:
Calculate the relative light intensity:
= 0.001 arbitrary units
Growing in a Greenhouse
Higher tier only
Commercial horticulturists will grow their plants in a greenhouse
This means that they are able to control as many of the limiting factors of photosynthesis as possible
Limiting factors are important in the economics of enhancing the conditions in greenhouses to gain the maximum rate of photosynthesis while still maintaining profit
Keeping plants in a greenhouse has associated costs, but the increased yield of the crop and fact that the crop can be harvested more frequently, means that the farmer will make more money
The levels of heat, light, water, carbon dioxide and nutrients are carefully controlled so only the smallest amounts needed are used so that farmers are not wasting money
Eg. spending money on increasing the concentration of carbon dioxide beyond a point when some other factor limits the rate of photosynthesis is a waste

The farmers can increase yield in a greenhouse but this does have an increased cost
Examiner Tips and Tricks
You should be able to use data in the exam to relate limiting factors to the cost-effectiveness of adding heat, light or carbon dioxide to greenhouses. Remember that spending money on increasing a factor above the point at which it has an effect on the rate of photosynthesis will be a waste of money.
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