1 Introduction
MAT2580  Project
The Wildlife Conservation Society1 (WCS) is an organization dedicated to helping wildlife around the world. Based out of New York City, WCS manages hundreds of conservation projects in an attempt to protect the world’s biodiversity. In this project, we will analyze the New York City robin population using data gathered by WCS.
Figure 1: Typical American robin.
The goal of this project is twofold:
1. To develop a matrix model that describes the population/age distribution of robins in New York City.
2. To examine the longterm population/age distribution of robins in New York City if current trends persist.
2 Data
The table below (Table 1) represents the average 2year birth and survival rates for di↵erent age groups of robins. For example, the 39.1% in row 2, column 4 means that, on average over the course of 2 years, 39.1% of all robins aged 67 survived to age 89.
1 http://www.wcs.org
1
01 
23 
45 
67 
89 
1011 

Birth Rate 
5.2% 
25.4% 
46.7% 
64.3% 
32.6% 
10.3% 
Survival Rate 
78.4% 
67.8% 
65.5% 
39.1% 
12.6% 
0% 
Table 1: Average robin population survival and birth rates per age group.
The following table (Table 2) gives a count of the total number of robins (by age group) observed in May of 2014.
Table 2: Robin population per age group observed in May of 2014.
3 Task
In this project, you will work in groups of 3 to 4 on a technical report. Using the data given above, your goals are to:
01 
23 
45 
67 
89 
1011 
405 
343 
332 
210 
157 
120 
4
• Construct a matrix model
that describes the population/age distribution of robins in New York City over time.
• Use any methods from class to determine the number of expected robins in each age group in 20 years and decide if any immediate action is needed to prevent their disappearance from the New York City area.
Report Template
xn =Axn1,forn1,
Reports should be doublespaced in 11 pt New Times Roman font. Outside of the cover sheet and abstract (see below), the report should not exceed 3 pages.
Your report should contain each of the following sections:
Cover Page  The cover page should include the names of the people in your group as well as the title of the project report.
Abstract  The abstract should appear on its own page. This should be a oneparagraph summary of the paper. It should state the problem you are studying, the methodology used to solve it, and the end results.
Introduction  Briefly introduce the problem. What are you looking to solve? What is the point of your paper?
Assumptions and Definitions  List any assumptions you make on the given data and explain why they are reasonable. Also, include any definitions you need (including mathematical definitions) for the next section.
2
Analysis  Explain what methods you used to solve the problem mathematically. You do not have to show every step in your computation, but you should explain what you did to arrive at your result.
Example: “Using MATLAB, we computed the eigenvectors of A to be...”
Interpretation and Conclusion  This section should summarize your results and address all
questions posed. Explain what your results mean and what you can conclude from them.
5 Grading
The report is due DECEMBER 17. Grades will be assigned out of 50 points using the following criteria:
(25 points) Mathematical content  This includes appropriate methods and computations.
(5 points) Assumptions  This includes making reasonable and necessary assumptions for your
matrix model.
(10 points) Conclusion  This includes how you answer the questions posed and whether or not they are reasonable based on your computations.
(10 points) Organization  This includes making sure that the template was followed, neatness, and appropriate grammar.
3
Subject  Mathematics 
Due By (Pacific Time)  12/16/2014 11:59 pm 
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