Question:
When Pi is productivity per unit input of the limited or non-renewable resource, Si is alteration in soil properties, Wi is change in water resource and quality, Ci modification in climatic factor and t is the time, the index of sustainability (Is) can be computed as:
When Pi is productivity per unit input of the limited or non-renewable resource, Si is alteration in soil properties, Wi is change in water resource and quality, Ci modification in climatic factor and t is the time, the index of sustainability (Is) can be computed as:
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Sustainability index:
Is = [f(Pi + Si + Wi + Ci)] t.
Higher value indicates higher sustainability.
Is = [f(Pi + Si + Wi + Ci)] t.
Higher value indicates higher sustainability.
Updated On: Aug 18, 2026
- Is = (Pi \(\times\) Si \(\times\) Wi \(\times\) Ci) t
- Is = f(Pi \(\times\) Si \(\times\) Wi \(\times\) Ci) t)
- Is = f(Pi + Si + Wi + Ci) \(\times\) t
- Is = [f(Pi + Si + Wi + Ci)] t
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The Correct Option is D
Solution and Explanation
Step 1: Understanding the Concept:
Sustainability index is a measure of system sustainability.
It integrates various factors.
Step 2: Key Formula or Approach:
Sustainability index is a function of productivity, soil, water, and climate factors.
It is divided by time.
Step 3: Detailed Explanation:
Is = [f(Pi + Si + Wi + Ci)] t.
This is the correct formula for sustainability index.
It considers productivity (Pi), soil properties (Si), water resources (Wi), and climate (Ci).
Time (t) is in the denominator.
Thus, the correct formula is option (D).
Step 4: Final Answer:
Is = [f(Pi + Si + Wi + Ci)] t.
Hence, the correct option is (D).
Sustainability index is a measure of system sustainability.
It integrates various factors.
Step 2: Key Formula or Approach:
Sustainability index is a function of productivity, soil, water, and climate factors.
It is divided by time.
Step 3: Detailed Explanation:
Is = [f(Pi + Si + Wi + Ci)] t.
This is the correct formula for sustainability index.
It considers productivity (Pi), soil properties (Si), water resources (Wi), and climate (Ci).
Time (t) is in the denominator.
Thus, the correct formula is option (D).
Step 4: Final Answer:
Is = [f(Pi + Si + Wi + Ci)] t.
Hence, the correct option is (D).
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