College

**QUESTION 1**

Dennstaedtia punctilobula is a fern that grows on the forest floor and often crowds out tree seedlings, blocking efforts to regrow trees after logging or other disturbances. To understand the fern better, scientists measured the number of viable fern spores per square centimeter of soil at various distances from a plot of existing fern plants. They counted spores in the soil in July, as the ferns were just beginning to grow, and in November, after they had released their spores.

\[
\begin{tabular}{|c|c|c|}
\hline
\multicolumn{3}{|c|}{Number of spores in soil} \\
\hline
\begin{tabular}{c}
Distance from plot of \\
ferns (m)
\end{tabular} & \text{Before dispersal (July)} & \begin{tabular}{c}
After dispersal \\
(November)
\end{tabular} \\
\hline
0 & 14 & 54 \\
\hline
2 & 16 & 18 \\
\hline
4 & 5 & 9 \\
\hline
10 & 10 & 17 \\
\hline
50 & 2 & 7 \\
\hline
\end{tabular}
\]

1.1 Formulate a hypothesis for this investigation.
(2 points)

1.2 Name the:
(i) Dependent variable.
(ii) Independent variable.
(1 point)

1.3 Mention TWO factors that must be kept constant in this investigation.
(2 points)

1.4 What percentage of spores after dispersal are found within 4 meters of the parent plants?
(2 points)

1.5 Are spore numbers higher before dispersal or after dispersal?
(1 point)

1.6 Motivate your answer in QUESTION 1.5 above.
(2 points)

1.7 State how the reliability of the results could be increased.
(2 points)

1.8 Place the data from the table on a line graph to show the results of this experiment.
(7 points)

[Total: 20 points]

Answer :

Sure, let's go through each part of the question step-by-step:

### 1.1 Formulate a hypothesis for this investigation.
A possible hypothesis could be: "Spore dispersal increases the number of spores per square centimeter of soil near fern plants after they release their spores."

### 1.2 Name the:
- (i) Dependent variable: The number of fern spores per square centimeter of soil.
- (ii) Independent variable: The distance from the plot of existing fern plants.

### 1.3 Mention TWO factors that must be kept constant in this investigation.
Two factors that should be kept constant are:
- Soil type: Ensure all samples are taken from soil with the same properties.
- Climate conditions: Conduct the experiment under consistent weather conditions to avoid any interference from varying environmental factors.

### 1.4 What percentage of spores after dispersal are found within 4 meters of the parent plants?
First, calculate the total number of spores found within 4 meters after dispersal:

- At 0 meters: 54 spores
- At 2 meters: 18 spores
- At 4 meters: 9 spores

So, the total within 4 meters is [tex]\(54 + 18 + 9 = 81\)[/tex] spores.

Next, sum the total number of spores at all distances after dispersal:

- [tex]\(54 + 18 + 9 + 17 + 7 = 105\)[/tex] spores

Finally, calculate the percentage of spores found within 4 meters:

[tex]\[
\text{Percentage} = \left( \frac{81}{105} \right) \times 100 \approx 77.14\%
\][/tex]

### 1.5 Are spore numbers higher before dispersal or after dispersal?
Spore numbers are higher after dispersal.

### 1.6 Motivate your answer in QUESTION 1.5 above.
The total number of spores in the soil after dispersal (105 spores) is greater than the total number of spores before dispersal (47 spores: [tex]\(14 + 16 + 5 + 10 + 2\)[/tex]). This indicates an increase in the spore count after they are released.

### 1.7 State how could the reliability of the results be increased.
To increase the reliability of the results, you could:
- Increase the sample size by testing more locations at varying distances.
- Repeat the experiments multiple times and at different sites to ensure consistency and represent a broader area.

### 1.8 Place the data from the table on a line graph to show the results of this experiment.
To create the line graph, you can follow these steps:

1. On a graph, label the x-axis as "Distance from Plot of Ferns (m)" and the y-axis as "Number of Spores in Soil".
2. Plot two lines: one for the "Before dispersal (July)" data and another for "After dispersal (December)" data.
3. Use different colors or markers for each line to distinguish them.
4. Connect the points in each dataset with lines to form a graph.
5. Add a legend to indicate which line represents before and after dispersal.

A graph visually demonstrating these steps would show the trend and distribution of spores before and after dispersal.