Question

1. using the total area of the environment where you performed quadrat sampling, calculate the estimated population sizes for each plant species. describe your data here.

Explanation:

To solve this, we use the quadrat sampling method formula for population estimation:

Step 1: Recall the formula

The formula for estimating population size (\(N\)) using quadrat sampling is:
$$N = \frac{\text{Total Area of Study Region} \times \text{Average Number of Individuals per Quadrat}}{\text{Area of One Quadrat}}$$

Step 2: Define variables (example data)

Suppose:

• Total area of the environment (\(A_{\text{total}}\)) = \(100 \, \text{m}^2\)
• Area of one quadrat (\(A_{\text{quadrat}}\)) = \(1 \, \text{m}^2\)
• For Plant Species X: Average number of individuals per quadrat (\(\bar{x}\)) = \(5\)
• For Plant Species Y: Average number of individuals per quadrat (\(\bar{y}\)) = \(3\)

Step 3: Calculate for Plant Species X

Substitute into the formula:
$$N_X = \frac{100 \times 5}{1} = 500$$

Step 4: Calculate for Plant Species Y

Substitute into the formula:
$$N_Y = \frac{100 \times 3}{1} = 300$$

Data Description (Example):

• Total study area: \(100 \, \text{m}^2\) (e.g., a rectangular plot or natural habitat).
• Quadrat size: \(1 \, \text{m}^2\) (standardized for consistency).
• Sampling process: Randomly placed 10 quadrats, counted individuals of each species in each, then averaged.
• Average counts: Species X had 5 individuals/quadrat (range: 3–7), Species Y had 3 individuals/quadrat (range: 1–5).

Answer:

(Example Population Sizes):

• Estimated population of Species X: \(\boldsymbol{500}\) individuals.
• Estimated population of Species Y: \(\boldsymbol{300}\) individuals.

(Note: Replace example values with your actual data from quadrat sampling.)