Tree Biomass (Tidyr)

Estimating the total amount of biomass (the total mass of all individuals) in forests is important for understanding the global carbon budget and how the earth will respond to increases in carbon dioxide emissions. We can estimate the mass of a tree based on its diameter.

There are lots of equations for estimating the mass of a tree from its diameter, but one good option is the equation:

Mass = 0.124 * Diameter^2.53

where Mass is measured in kg of dry above-ground biomass and Diameter is in cm DBH (Brown 1997).

We’re going to estimate the total tree biomass for trees in a 96 hectare area of the Western Ghats in India. The data needs to be tidied before all of the tree stems can be used for analysis. f If the Macroplot_data_Rev.txt is not already in your working directory download a copy.

1. Use pivot_longer() to create a longer data frame with one row for each measured stem. Use dplyr’s filter function to remove all of the girths that are zero. Store this longer data frame in a variable and also display it.
2. Write a function that takes a vector of tree diameters as an argument and
   returns a vector of tree masses using the equation above. Test it using mass_from_diameter(22).
3. Stems are measured in girth (i.e., circumference) rather than diameter. Write a function that takes a vector of circumferences as an argument and returns a vector of diameters (diameter = circumference / pi). Test it using diameter_from_circumference(26).
4. Use the two functions you’ve written to and dplyr to add a mass column to your longer data frame. Store this data in a variable and display it.
5. Estimate the total biomass by summing the mass of all of the stems in dataset.
6. separate() the SpCode column into GenusCode and SpEpCode columns and then use group_by and summarize to the total biomass for each unique GenusCode.
7. Use ggplot to make a histogram of the diameter values. Make the x label "Diameter [cm] and the y label "Number of Stems"

Expected outputs for Tree Biomass: 1