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Module 3 Final Project: Analyzing Carbon Dynamics in a Northern Mixed-Grass Prairie - Prof, Study Guides, Projects, Research of Calculus

The final project for module 3 in a university course, where students are required to read a research paper on prescribed fire and grazing effects on carbon dynamics in a northern mixed-grass prairie, and use the techniques learned in lectures to find three models for the given data. The students must then decide which model is the most appropriate for the data and present their findings to the class.

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Pre 2010

Uploaded on 08/19/2009

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Module 3 Final Pro ject
Due 3rd November 2008
Your group has been given the reference for a research paper, and a set of
data taken from the paper. Read the paper with sufficient depth to know what
the data is measuring. Use the techniques that you have seen in the lectures to
find three models for the given data of form given to you. Decide which model
is the most appropriate for the data
Your group will be given 10 minutes to present its work to the class during
either November 3’s lecture or Novemeber 5’s lecture. The group will then have
to answer at least two questions from the audience. The presentation should
cover the following (not necessarily in order):
The physical meaning of the data.
The three types of model that were fitted to data.
The methods used to find the values of the parameters of the models.
Evidence for and against the validity of each model.
You final decision about which model was most suitable, with your justi-
fications.
At the end of the presentation, the group will save the Mathematica workbook
they used plus any other files they presented, and submit it in Moodle. Each
student will give a grade to each presentation not given by their group.
On Monday, November 3, three groups will be selected, at random, to present
their work. It will be an Honor Code violation for the two remaining groups to
do any further work on their projects.
pf3

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Module 3 Final Project

Due 3

rd

November 2008

Your group has been given the reference for a research paper, and a set of data taken from the paper. Read the paper with sufficient depth to know what the data is measuring. Use the techniques that you have seen in the lectures to find three models for the given data of form given to you. Decide which model is the most appropriate for the data

Your group will be given 10 minutes to present its work to the class during either November 3’s lecture or Novemeber 5’s lecture. The group will then have to answer at least two questions from the audience. The presentation should cover the following (not necessarily in order):

  • The physical meaning of the data.
  • The three types of model that were fitted to data.
  • The methods used to find the values of the parameters of the models.
  • Evidence for and against the validity of each model.
  • You final decision about which model was most suitable, with your justi- fications.

At the end of the presentation, the group will save the Mathematica workbook they used plus any other files they presented, and submit it in Moodle. Each student will give a grade to each presentation not given by their group. On Monday, November 3, three groups will be selected, at random, to present their work. It will be an Honor Code violation for the two remaining groups to do any further work on their projects.

Module 3 Project for Group S1G

Due 3

rd

November 2008

1 Research Paper

Authors M.D. MacNeil, M.R. Haferkamp, L.T. Vermeire, J.M. Muscha

Year 2008

Title Prescribed fire and grazing effects on carbon dynamics in a northern mixed-grass prairie

Journal Agriculture, Ecosystems and Environment 127 (2008) 66–

Web-site www.elsevier.com/locate/agee

2 Data

Month (0=January) Photosynthetically Active Radiation (PAR, mmol m−^2 s−^1 ) 3 1122 5 1368 9 575 16 1591 18 1529 20 839

3 Models

3.1 Exact Fit Polynomial

Find a polynomial model that passes through all the data points.Note that the first homework assignment of this module was to find this model.

3.2 Two Parameter Model

Fit an optimal model of the form:

1170 .67 + A sin

2 π 12

t

  • B cos

2 π 12

t

where t is the month.