Ecologists measure the net primary productivity of two different locations within a wetland ecosystem and determine that location #1 has a net primary productivity of 1,350 kcal/m2/yr and location #2 has a net primary productivity of 1,025 kcal/m2/yr.If location #1 experienced respiration loss of 25%, what was the gross primary productivity of that location over the period of time the data were collected?
Question
Ecologists measure the net primary productivity of two different locations within a wetland ecosystem and determine that location #1 has a net primary productivity of 1,350 kcal/m2/yr and location #2 has a net primary productivity of 1,025 kcal/m2/yr.If location #1 experienced respiration loss of 25%, what was the gross primary productivity of that location over the period of time the data were collected?
Solution
Net primary productivity (NPP) is the amount of energy that plants produce and store as biomass, after accounting for the energy they use for respiration. It is calculated by subtracting the energy used for respiration (R) from the gross primary productivity (GPP), which is the total amount of energy produced by plants. This relationship can be expressed as:
NPP = GPP - R
In this case, we know the NPP (1,350 kcal/m2/yr) and the percentage of GPP that was used for respiration (25%), and we want to find the GPP. We can rearrange the equation to solve for GPP:
GPP = NPP + R
Since R is 25% of GPP, we can express R as 0.25 * GPP. Substituting this into the equation gives us:
GPP = NPP + 0.25 * GPP
To isolate GPP, we can subtract 0.25 * GPP from both sides of the equation:
0.75 * GPP = NPP
Finally, we can solve for GPP by dividing both sides of the equation by 0.75:
GPP = NPP / 0.75
Substituting the given NPP value (1,350 kcal/m2/yr) into the equation gives us:
GPP = 1,350 kcal/m2/yr / 0.75 = 1,800 kcal/m2/yr
So, the gross primary productivity of location #1 over the period of time the data were collected was 1,800 kcal/m2/yr.
Similar Questions
Ecologists measure the net primary productivity of two different locations within a wetland ecosystem and determine that location #1 has a net primary productivity of 1,350 kcal/m2/yr and location #2 has a net primary productivity of 1,025 kcal/m2/yr.If location #1 experienced respiration loss of 25%, what was the gross primary productivity of that location over the period of time the data were collected?
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