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Is there a mathematical relationship between between light intensity and rate of photosynthesis or between water availability and rate of photosynthesis? We would like to create a computer program to simulate these relationships. Where can we find experimental data about these relationships?
Answer 1:

This is an interesting project. You have identified 2 critical variables in photosynthetic rate. Two others would be CO2 availability and plant species. This second variable is what complicates your question. Some plants can use a whole lot of light effectively. Other plants have evolved in shady conditions and can use only a relatively small amount of light before photosynthetic rate levels off.

I suggest that you measure this yourself. Try using an aquatic plant like elodea (any aquarium store will have it). Expose it to various amounts of light. You can measure it with a light meter or just use distance from the light source as your variable. You can measure photosynthetic rate by counting oxygen bubbles because the bubbles will all be about the same size, or you can capture the oxygen and measure the volume.

Adding different amounts of bicarbonate (baking soda) will allow you to see how adding CO2 will influence rate of photosynthesis. First boil and cool distilled water to drive off dissolved CO2 so that you can control this.

Obviously, I have not answered your question for dealing with the amount of water. This actually is a more difficult thing to test because measuring the oxygen produced is harder when you are not using an aquatic plant.

If you just want numbers to plug into your model, take a look at this scientific paper:
photosynthesis influences
Look at figure 1 on page 3.
The water content is on the X (bottom) axis, while the Y (up-and-down) axis shows the rate of photosynthesis (measured by how much CO2 the plant took up). Note that the 2 different species responded differently. You can also see that there is a lot of variation, but you can use the average photosynthetic rate for each water level. The scientists also looked at the effect of CO2 and temperature. Temperature would depend on light intensity, so you could use that in your model.

Answer 2:

This is a good website for you to check photosynthesis information:

Photosynthesis is light dependent.At low light intensities, light is a limiting factor for photosynthesis. The rate of photosynthesis to the light intensity is inversely proportional so it will increase rapidly at first the levels off until it reaches its optimum speed. It cannot photosynthesize any faster after that because there is only a certain number of chloroplasts containing a limiting amount of chlorophyll and this can only absorb a certain amount of light which is called the light saturation point. The only relationship I found was 1/d2 (distance square).
Since there are many steps involved in photosynthesis and each step has its limiting factor, it can not be this simple.
The net reaction of photosynthesis is
6H2O + 6CO2 ----------> C6H12O6+ 6O2 . You can see that you definitely need water for the photosynthesis to go on. But we say that water availability is only indirectly limiting photosynthesis because for the C4 plants, carbon dioxide is often the limiting factor. See Pathways of Photosynthesis for some detailed information.

You can check these papers for references and I'm sorry that they are not online for easy availability. But you might be able to go to a university library for it:
1. Kitaya Y, Okayama T, Murakami K, Takeuchi T. Effects of CO2 concentration and light intensity on photosynthesis of a rootless submerged plant, Ceratophyllum demersum L., used for aquatic food production in bioregenerative life support systems.
Adv Space Res. 2003;31(7):1743-9.

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