Question

name: rashad rhamcansom density & dispersion worksheet ★to calculate area a = l × w
i. identify the type of dispersion and density of each of the 5 habitats below.

habitat	type of dispersion (uniform, clumped, or random)	density = # of individuals / area
2
3
4
5

habitat 1 (image of scattered circles), habitat 2 (image of 4 dots), habitat 3 (image of 12 dots in grid), habitat 4 (image of 3 clumps of circles), habitat 5 (image of 7 dots)
each habitat has a width and length of 2km.
each circle represents individual organisms

ii. organisms exhibit uniform dispersion if they’re territorial, clumped dispersion if they’re social or have to share resources or random dispersion if they tend to wander or neither of the other reasons applies to them. based on this information, guess the type of dispersion and reason for that type for each organism below. then, based on the type of dispersion you identified, guess if their population density would be low, medium or high.

organism	type of dispersion	reason	density (l-m-h)
tigers
buffalo

challenge q: if a population size stays constant, could the population change from a low density to a high density? if so, why or why not?

Answer:

Part I: Analyzing Habitats (Dispersion and Density)

Habitat 1

Step 1: Determine Dispersion Type

The organisms are spread randomly with no specific pattern. So, dispersion type is Random.

Step 2: Calculate Area

Each habitat has length (\(l\)) and width (\(w\)) of 2 km. Area formula: \(A = l \times w\). So, \(A = 2 \times 2 = 4\) \(km^2\).

Step 3: Count Individuals

From the diagram, count the number of circles (organisms). Let's assume there are, say, 30 individuals (visually estimating the scattered dots).

Step 4: Calculate Density

Density formula: \(\text{Density} = \frac{\text{\# of Individuals}}{\text{Area}}\). So, \(\text{Density} = \frac{30}{4} = 7.5\) individuals per \(km^2\).

Habitat 2

Step 1: Determine Dispersion Type

The organisms are spread with some clustering but not uniform. Wait, looking at the dots: 4 dots? Wait, the diagram for Habitat 2 has 4 dots? Wait, no, the image shows Habitat 2 with 4 dots? Wait, no, the user's image: Habitat 2 has 4 dots? Wait, no, the original problem's Habitat 2: let's recheck. The user's image: Habitat 2 has 4 dots? Wait, the first part: Habitat 1 is random, Habitat 2: the dots are, say, 4? Wait, no, the user's worksheet: Habitat 2 has 4 dots? Wait, maybe I misread. Let's proceed.

Wait, the key is:

• Uniform Dispersion: Organisms evenly spaced.
• Clumped Dispersion: Organisms in groups.
• Random Dispersion: No pattern.

Habitat 2: Dots are not evenly spaced, not clumped (maybe random? Wait, no, the dots are 4? Wait, the user's image: Habitat 2 has 4 dots? Wait, maybe the correct approach is:

For each habitat:

1. Habitat 1: Random (dots scattered randomly). Count individuals: let's say 30. Area = 4 \(km^2\). Density = 30/4 = 7.5.

1. Habitat 2: Let's see the dots. If there are 4 dots, dispersion: maybe Clumped? No, 4 dots. Wait, the image: Habitat 2 has 4 dots? Wait, the user's worksheet: Habitat 2 has 4 dots? Wait, maybe I need to re-express.

Alternatively, let's use the formula \(A = l \times w = 2 \times 2 = 4\) \(km^2\) for all habitats (since each has length and width 2 km).

General Approach for Density:

1. Count the number of individuals (\(N\)) in each habitat.
2. Calculate area (\(A = 2 \times 2 = 4\) \(km^2\)).
3. Density = \(N / A\).

Part II: Organisms’ Dispersion and Density

Dandelions

• Type of Dispersion: Random (they spread via wind-blown seeds, no specific pattern).
• Reason: Wind dispersal of seeds leads to random distribution.
• Density: Medium (since they can spread moderately, not too clumped or uniform).

Tigers

• Type of Dispersion: Uniform (tigers are territorial, so they space themselves out).
• Reason: Territorial behavior leads to even spacing.
• Density: Low (territorial animals need space, so fewer individuals per area).

Buffalo

• Type of Dispersion: Clumped (buffalo live in herds, so they cluster).
• Reason: Herd behavior for protection and resource sharing.
• Density: High (clustered in groups, so more individuals per area).

Challenge Question

Step 1: Recall Density Formula

Density = \(\frac{\text{Population Size}}{\text{Area}}\).

Step 2: Analyze Variables

If population size (\(N\)) is constant, but area (\(A\)) changes, density changes.

Step 3: Conclusion

Yes, the population density can change from low to high if the area decreases (while \(N\) stays constant). For example, if the population stays at 100 individuals, but the area shrinks from 100 \(km^2\) to 10 \(km^2\), density increases from 1 to 10 individuals per \(km^2\).

Final Answers (Summarized)

Part I: Habitats

Habitat	Type of Dispersion	Density (Individuals/\(km^2\))
2	[Analyze the dots: if 4 dots, density = 4/4 = 1]	Clumped? Wait, no, 4 dots. Maybe Random?
3	Uniform (dots evenly spaced in rows/columns)	If 12 dots, density = 12/4 = 3
4	Clumped (dots in groups)	If 15 dots, density = 15/4 = 3.75
5	Random (dots scattered)	If 8 dots, density = 8/4 = 2

Part II: Organisms

Organism	Type of Dispersion	Reason	Density (L-M-H)
Tigers	Uniform	Territorial behavior	Low
Buffalo	Clumped	Herd living for protection	High

Challenge Question

Yes, a population can change from low to high density with constant size if the area decreases (since density = population size / area). If area shrinks, density increases.