Spatial Statistic Term Paper

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Dot Maps of Three Datasets

Cell

Pine

RedwoodFigure 1. Dot plot representations of the normalized datasets. Leftmost of the screen shows the sample sizes of the biological cell, pine tree and redwood seedling. The mean center was computed for each dataset (see the red dots). The figure on the lower right side is a comparative representation of three datasets along with respective mean centers (se the scatter dots in the respective colors)

The visual representation of three data sets provides information about the distributions. First of all, the average intensity of cell data is very homogenous whereas redwood and pine datasets are distributed inhomogeneous. Accordingly, figure 1 provides information about the stochastic dependence between the data points in a unit area. The neighboring data points of redwood dataset are clustered. Therefore, the data points constructing the same pattern interact with each other. On the other hand, the distribution of pine dataset is random; therefore, the visual representation suggests that the data points are independent. In the case of cell dataset, the distribution of data points is regular. In other words, number of data points in a unit area is approximately equal.

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2. Quadrat Counts and Histogram

Three data sets (biological cells, redwood seedlings, and pine trees) are divided into rectangular grids of size 2x2 and 4x4. Figure 2 and 3 show the numbering and location of the quadrats. Tables 1 and 2 represents the data point counts in each quatrad, 2x2 grids and 4x4 grids, respectively. Subsequently, figures 4, and 5 show the histograms of frequency distributions of the quadrat counts for respective grids.

Figure 2. 2x2 grid. Each rectangular unit represents a quadrat. The quadrats were divided into equal sizes.

Figure 3. 4x4 grid. Each rectangular unit represents a quadrat. The quadrats were divided into equal sizes.

Table 1. Number of data points in 2x2 grids.

Quadrat

Cell

Redwood

Pine

1

11

9

13

2

10

18

13

3

10

21

22

4

11

14

17

Figure 4. Histogram of the frequency distribution of the quadrat counts of 2x2 grids.

Table 2. Number of data points in 4x4 grids.

Quadrat

Cell

Redwood

Pine

1

2

0

2

2

2

5

4

3

2

8

5

4

3

2

4

5.....

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