# 14.5. Lesson: Systematic Sampling Design

You have already digitized a set of polygons that represent the forest stands, but you don’t have information about the forest just yet. For that purpose you can design a survey to inventory the whole forest area and then estimate its parameters. In this lesson you will create a systematic set of sampling plots.

When you start planning your forest inventory it is important to clearly define the objectives, the types of sample plots that will be used, and the data that will be collected to achieve the objectives. For each individual case, those will depend on the type of forest and the management purpose; and should be carefully planned by someone with forestry knowledge. In this lesson, you will implement a theoretical inventory based on a systematic sampling plot design.

The goal for this lesson: To create a systematic sampling plot design to survey the forest area.

## 14.5.1. Inventorying the Forest

There are several methods to inventory forests, each of them suiting different purposes and conditions. For example, one very accurate way to inventory a forest (if you consider only tree species) would be to visit the forest and make a list of every tree and their characteristics. As you can imagine this is not commonly applicable except for some small areas or some special situations.

The most common way to find out about a forest is by sampling it, that is, taking measurements in different locations at the forest and generalizing that information to the whole forest. These measurements are often made in sample plots that are smaller forest areas that can be easily measured. The sample plots can be of any size (for ex. 50 m2, 0.5 ha) and form (for ex. circular, rectangular, variable size), and can be located in the forest in different ways (for ex. randomly, systematically, along lines). The size, form and location of the sample plots are usually decided following statistical, economical and practical considerations. If you have no forestry knowledge, you might be interested in reading this Wikipedia article.

## 14.5.2. Follow Along: Implementing a Systematic Sampling Plot Design

For the forest you are working with, the manager has decided that a systematic sampling design is the most appropriate for this forest and has decided that a fixed distance of 80 meters between the sample plots and sampling lines will yield reliable results (for this case, +- 5% average error at a probability of 68%). Variable size plots has been decided to be the most effective method for this inventory, for growing and mature stands, but a 4 meters fixed radius plots will be used for seedling stands.

In practice, you simply need to represented the sample plots as points that will be used by the field teams later:

1. Open your `digitizing_2012.qgs` project from the previous lesson.

2. Remove all the layers except for forest_stands_2012.

3. Save your project now as `forest_inventory.qgs`

Now you need to create a rectangular grid of points separated 80 meters from each other:

1. Open Vector ► Research Tools Regular points.

2. Press the drop-down button next to the Input extent field and from the Calculate from Layer menu, select forest_stands_2012.

3. In the Point spacing/count settings, enter `80` `meters`.

4. Check the Use point spacing box to indicate that the value represents the distance between the points.

5. Under Regular points, save the output as `systematic_plots.shp` in the `forestry\sampling\` folder.

6. Check Open output file after running algorithm.

7. Press Run.

Примечание

The suggested Regular points creates the systematic points starting in the upper-left corner of the extent of the selected polygon layer. If you want to add some randomness to this regular points, you could use a randomly calculated number between 0 and 80 (80 is the distance between our points), and then write it as the Initial inset from corner (LH side) parameter in the tool’s dialog.

You notice that the tool has used the whole extent of your stands layer to generate a rectangular grid of points. But you are only interested on those points that are actually inside your forest area (see the images below):

1. From the Processing toolbox, open GDAL ► Vector geoprocessing ► Clip vector by mask layer.

2. Select systematic_plots as the Input layer.

3. Set forest_stands_2012 as the Mask layer.

4. Save the Clipped (mask) result as `systematic_plots_clip.shp` in the `forestry\sampling\` folder.

5. Check Open output file after running algorithm.

6. Press Run.

You have now the points that the field teams will use to navigate to the designed sample plots locations. You can still prepare these points so that they are more useful for the field work. At the least you will have to add meaningful names for the points and export them to a format that can be used in their GPS devices.

Let’s start with the naming of the sample plots. If you check the Attribute table for the plots inside the forest area, you can see that you have the default id field automatically generated by the Regular points tool. Label the points to see them in the map and consider if you could use those numbers as part of your sample plot naming:

1. Open the Layer Properties ► Labels for the `systematic_plots_clip` layer.

2. Turn the top menu into Single Labels.

3. For the Value entry, select the field `id`.

4. Go to the Buffer tab, check the Draw text buffer and set the buffer Size to `1`.

5. Кликните на кнопку OK.

Now look at the labels on your map. You can see that the points have been created and numbered first West to East and then North to South. If you look at the attribute table again, you will notice that the order in the table is following also that pattern. Unless you would have a reason to name the sample plots in a different way, naming them in a West-East/North-South fashion follows a logical order and is a good option.

Nevertheless, the number values in the `id` field are not so good. It would be better if the naming would be something like `p_1, p_2...`. You can create a new column for the `systematic_plots_clip` layer:

1. Go to the Attribute table for `systematic_plots_clip`.

2. Enable the edit mode.

3. Open the Field calculator:

1. Check Create a new field

2. Enter `Plot_id` as Output field name

3. Set the Output field type to Text (string).

4. In the Expression field, write, copy or construct this formula `concat('P_', @rownum )`. Remember that you can also double click on the elements inside the Function list. The `concat` function can be found under String and `@rownum` is under the Variables and values group.

4. Кликните на кнопку OK.

5. Disable the edit mode and save your changes.

Now you have a new column with plot names that are meaningful to you. For the `systematic_plots_clip` layer, change the field used for labeling to your new `Plot_id` field.

## 14.5.3. Follow Along: Exporting Sample Plots as GPX format

The field teams will be probably using a GPS device to locate the sample plots you planned. The next step is to export the points you created to a format that your GPS can read. QGIS allows you to save your point and line vector data in GPS eXchange Format (GPX), which is an standard GPS data format that can be read by most of the specialized software. You need to be careful with selecting the CRS when you save your data:

1. Right-click `systematic_plots_clip` layer and select Export ► Save features as….

2. In Format select GPS eXchange Format [GPX].

3. Save the output File name as `plots_wgs84.gpx` in the `forestry\sampling\` folder.

4. In CRS select Selected CRS.

5. Browse for EPSG:4326 - WGS 84.

Примечание

The GPX format accepts only this CRS, if you select a different one, QGIS will give no error but you will get an empty file.

6. Кликните на кнопку OK.

7. In the dialog that opens, select only the `waypoints` layer (the rest of the layers are empty).

The inventory sample plots are now in a standard format that can be managed by most of the GPS software. The field teams can now upload the locations of the sample plots to their devices. That would be done by using the specific devices own software and the `plots_wgs84.gpx` file you just saved. Other option would be to use the GPS Tools plugin but it would most likely involve setting the tool to work with your specific GPS device. If you are working with your own data and want to see how the tool works you can find out information about it in the section Работа с данными GPS in the QGIS User Manual.