j. Optimize the monitoring network using the criterion of minimum mean kriging variances.  Which data point has the maximum mean kriging variance?(0.5 mark)

To solve the problem of optimizing the monitoring network using the criterion of minimum mean kriging variances and identify the data point with the maximum mean kriging variance, we will outline the response as follows:

1. Break Down the Problem

1.1. Understand what kriging variances are and their role in spatial analysis. 1.2. Identify the data points in the network and their corresponding kriging variances. 1.3. Determine the mean kriging variance for the network of data points.

2. Relevant Concepts

2.1. The mean kriging variance is given by the formula: $\sigma^2_{K} = \frac{1}{n} \sum_{i=1}^{n} \sigma^2_i$ where $\sigma^2_i$ is the kriging variance of each data point, and $n$ is the total number of data points.

3. Analysis and Detail

3.1. Calculate the mean kriging variance by summing the kriging variances of all data points and dividing by the number of points. 3.2. Identify each individual kriging variance to find the maximum among them.

4. Verify and Summarize

4.1. Ensure all variances are correctly calculated. 4.2. Summarize the mean kriging variance and point out the data point with the maximum variance.

Final Answer

The data point with the maximum mean kriging variance and the calculated mean kriging variance of the monitoring network would need numerical values for exact calculations. Please provide the kriging variances for each data point for further analysis.