Gardening Yield Estimator
Gardening Yield Estimator calculates total yield, yield per plant, and growth efficiency based on garden size, density, and soil.
Formulas Used in Gardening Yield Estimator
The calculator uses the following formulas to estimate garden yield:
Total Yield:
\\[ Y_t = A \cdot D \cdot M_p \cdot M_s \\]Yield per Plant:
\\[ Y_p = \frac{Y_t}{A \cdot D} = M_p \cdot M_s \\]Growth Efficiency:
\\[ E_g = \min\left(100 \cdot \frac{M_s}{D \cdot M_p \cdot \sqrt{A / A_{\text{max}}}}, 100\right) \\]Where:
- \\( Y_t \\): Total yield (pounds)
- \\( A \\): Garden size (square feet)
- \\( D \\): Plant density (plants per square foot)
- \\( M_p \\): Plant type multiplier (Vegetables: 1.0, Fruits: 0.8, Herbs: 0.5)
- \\( M_s \\): Soil quality multiplier (Poor: 0.7, Average: 1.0, Rich: 1.3)
- \\( Y_p \\): Yield per plant (pounds/plant)
- \\( E_g \\): Growth efficiency (%)
- \\( A_{\text{max}} \\): Maximum reference garden size (1000 sq ft)
Example Calculations
Example 1: Small Vegetable Garden, Average Soil
Input: Garden Size = 100 sq ft, Plant Density = 2 plants/sq ft, Plant Type = Vegetables, Soil Quality = Average
Result: Total Yield: 200 pounds, Yield per Plant: 1 pound/plant, Growth Efficiency: 31.62%
Example 2: Medium Fruit Garden, Rich Soil
Input: Garden Size = 500 sq ft, Plant Density = 1 plant/sq ft, Plant Type = Fruits, Soil Quality = Rich
Result: Total Yield: 520 pounds, Yield per Plant: 1.04 pounds/plant, Growth Efficiency: 22.91%
Example 3: Large Herb Garden, Poor Soil
Input: Garden Size = 1000 sq ft, Plant Density = 5 plants/sq ft, Plant Type = Herbs, Soil Quality = Poor
Result: Total Yield: 1750 pounds, Yield per Plant: 0.35 pounds/plant, Growth Efficiency: 2.80%