Question

measures of diversity
habitat 1
habitat 2

of species text here total # of individuals text here ÷ = biodiversity index of text here

of species text here total # of individuals text here ÷ = biodiversity index of text here

Answer:

To solve for the biodiversity index of each habitat, we follow these steps:

Habitat 1:

Step 1: Count the number of species

In Habitat 1, we have two types of "species" (shapes): hexagons (yellow) and diamonds (purple). So, the number of species is \( 2 \).

Step 2: Count the total number of individuals

Count all the shapes in Habitat 1:

• Hexagons: Let's count them. From the diagram, we have 6 hexagons (yellow).
• Diamonds: We have 3 diamonds (purple).

Total individuals \( = 6 + 3 = 9 \).

Step 3: Calculate the biodiversity index

The biodiversity index is calculated as \( \frac{\text{Number of Species}}{\text{Total Number of Individuals}} \).
So, for Habitat 1: \( \frac{2}{9} \approx 0.22 \) (rounded to two decimal places).

Habitat 2:

Step 1: Count the number of species

In Habitat 2, we have different types of "species" (shapes): hexagons (yellow), rectangles (blue), diamonds (purple), heart (orange), circle (red), triangle (green), and trapezoid (blue). Let's count the unique shapes:

• Hexagon (yellow)
• Rectangle (blue)
• Diamond (purple)
• Heart (orange)
• Circle (red)
• Triangle (green)
• Trapezoid (blue)

Wait, no, we need to count the number of unique species (types of shapes). Let's list them:

1. Hexagon (yellow)
2. Rectangle (blue)
3. Diamond (purple)
4. Heart (orange)
5. Circle (red)
6. Triangle (green)
7. Trapezoid (blue) – Wait, no, trapezoid is a different shape? Wait, looking at the diagram:

Habitat 2 has:

• 1 hexagon (yellow)
• 3 rectangles (blue)
• 2 diamonds (purple)
• 1 heart (orange)
• 1 circle (red)
• 1 triangle (green)
• 1 trapezoid (blue)

Wait, no, the trapezoid is a different shape? Wait, maybe I miscounted. Let's list all unique shapes:

• Hexagon (yellow)
• Rectangle (blue)
• Diamond (purple)
• Heart (orange)
• Circle (red)
• Triangle (green)
• Trapezoid (blue) – No, trapezoid is a different shape? Wait, maybe the trapezoid is a different species. Wait, no, maybe I made a mistake. Let's count again:

Looking at Habitat 2:
Shapes:

• Yellow hexagon: 1
• Blue rectangle: 3
• Purple diamond: 2
• Orange heart: 1
• Red circle: 1
• Green triangle: 1
• Blue trapezoid: 1

Wait, but the trapezoid is a different shape from the rectangle. So the unique species (shapes) are:

1. Hexagon (yellow)
2. Rectangle (blue)
3. Diamond (purple)
4. Heart (orange)
5. Circle (red)
6. Triangle (green)
7. Trapezoid (blue)

Wait, that's 7 species? Wait, no, maybe the trapezoid is a different shape, but maybe I miscounted. Wait, let's count the number of unique shapes:

• Hexagon (1)
• Rectangle (1)
• Diamond (1)
• Heart (1)
• Circle (1)
• Triangle (1)
• Trapezoid (1)

So that's 7 species? Wait, no, maybe the trapezoid is a different shape, but maybe the problem considers each unique shape as a species. Wait, maybe I made a mistake. Let's count again:
Looking at Habitat 2:

• Yellow hexagon: 1
• Blue rectangle: 3
• Purple diamond: 2
• Orange heart: 1
• Red circle: 1
• Green triangle: 1
• Blue trapezoid: 1

Wait, but the trapezoid is a different shape from the rectangle, so that's a different species. So number of species is 7? Wait, no, maybe the trapezoid is a different shape, but maybe the problem has a different count. Wait, maybe I miscounted the number of species. Let's list all the shapes:

1. Hexagon (yellow)
2. Rectangle (blue)
3. Diamond (purple)
4. Heart (orange)
5. Circle (red)
6. Triangle (green)
7. Trapezoid (blue)

Yes, that's 7 species.

Step 2: Count the total number of individuals

Count all the shapes in Habitat 2:

• Hexagon: 1
• Rectangle: 3
• Diamond: 2
• Heart: 1
• Circle: 1
• Triangle: 1
• Trapezoid: 1

Total individuals \( = 1 + 3 + 2 + 1 + 1 + 1 + 1 = 10 \).

Step 3: Calculate the biodiversity index

The biodiversity index is \( \frac{\text{Number of Species}}{\text{Total Number of Individuals}} \).
So, for Habitat 2: \( \frac{7}{10} = 0.7 \).

Filling in the Text Boxes:

For Habitat 1:

• # of Species: \( 2 \)
• Total # of Individuals: \( 9 \)
• Biodiversity Index: \( \frac{2}{9} \approx 0.22 \)

For Habitat 2:

• # of Species: \( 7 \)
• Total # of Individuals: \( 10 \)
• Biodiversity Index: \( \frac{7}{10} = 0.7 \)

Final Answers:

• Habitat 1 Biodiversity Index: \( \boldsymbol{\frac{2}{9} \approx 0.22} \)
• Habitat 2 Biodiversity Index: \( \boldsymbol{0.7} \)