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<h1 class="title toc-ignore">Assignment 02 - Exploratory Data
Analysis</h1>

</div>


<hr />
<p>Complete the following exercises within the lab period and submit to
Canvas before leaving. In addition to the points detailed below, 5
points are assigned to the quality of the annotation and to the
‘cleanliness’ of the code and resulting pdf document.</p>
<div id="exercise-1-2-points" class="section level2">
<h2>Exercise 1 – 2 points</h2>
<p>We will again be working with the BC Parks dataset, which contains
information on the locations of Provincial Parks in British Columbia.
The parks belong to 5 different regions. There is also information on
elevation (in m) contained within the dataset.</p>
<ul>
<li>Import the BC park locations dataset and convert the data to a
<code>ppp</code> object (being sure to include information on regions as
marks). – 0.5 point(s)</li>
<li>Plot the resulting <code>ppp</code> object. The marks need to be
visually distinct. – 0.5 point(s)</li>
<li>Inspect the spatial distribution of parks. Do you expect the process
to be homogeneous? Justify why you came to this expectation. – 1
point(s)</li>
</ul>
<p>Note: You will need to load the <code>maptools</code> or
<code>sp</code> packages and make use of the <code>as.owin()</code>
function.</p>
</div>
<div id="exercise-2-2-points" class="section level2">
<h2>Exercise 2 – 2 points</h2>
<ul>
<li>Under an assumption of homogeneity, what is the intensity of
parks/km<span class="math inline">\(^2\)</span> in BC? – 1 point(s)</li>
<li>Is the estimated intensity trustworthy? Why/why not? – 1
point(s)</li>
</ul>
<p>Hint: see <code>?rescale</code></p>
</div>
<div id="exercise-3-2-points" class="section level2">
<h2>Exercise 3 – 2 points</h2>
<ul>
<li>Use a quadrat test to determine whether the assumption of
homogeneity is met. – 1 point(s) Note: Be sure to set the number of
quadrats appropriately, to avoid issues with the quadrat test.</li>
<li>Visualise both the quadrats and estimated intensity, being sure to
include the points in each figure. – 1 point(s)</li>
<li>Is the estimated intensity from exercise 2 trustworthy, and why? – 1
point(s)</li>
</ul>
</div>
<div id="exercise-4-4-points" class="section level2">
<h2>Exercise 4 – 4 points</h2>
<ul>
<li>Estimate the intensity using kernel estimation with likelihood cross
validation bandwidth selection. – 1 point(s)</li>
<li>Perform hotspot analysis to identify locations of elevated
intensity. – 1 point(s)</li>
<li>Visualise the output (be sure to include the window). – 1
point(s)</li>
<li>Based on the estimated intensity and hotspot analysis, where would
choose to go if you were planning a vacation to tour different
provincial parks. – 1 point(s)</li>
</ul>
</div>
<div id="exercise-5-3-points" class="section level2">
<h2>Exercise 5 – 3 points</h2>
<ul>
<li>Estimate <span class="math inline">\(\rho\)</span> for the locations
of parks as a function of elevation. – 1 point(s)</li>
<li>Plot <span class="math inline">\(\rho\)</span> vs. elevation. Be
sure that the x-axis for elevation does not go below 0. – 1
point(s)</li>
<li>Do you think that there is a relationship between elevation and park
intensity? Use the results/data to support your statements. – 0.5
point(s)</li>
<li>Would you be more or less likely to find a park at 1500m compared to
the average intensity of parks across B.C.? Why? – 0.5 point(s)</li>
</ul>
<p>Note: Estimating rho can be slow (<span
class="math inline">\(\sim\)</span> 1-2 min). Be sure to leave enough
time for the document to knit.</p>
</div>
<div id="exercise-6-5-points" class="section level2">
<h2>Exercise 6 – 5 points</h2>
<ul>
<li>Using Ripley’s <span class="math inline">\(K\)</span>-function, test
for a significant (i.e., <span class="math inline">\(\alpha\)</span> =
0.05) correlation between park locations. – 4 point(s)</li>
<li>Is there any evidence of correlations in park locations? Why? – 1
point(s)</li>
</ul>
<p>Notes: Use border corrections (i.e.,
<code>correction="border"</code>) and be sure the estimators assumptions
are being met.</p>
</div>
<div id="exercise-7-3-points" class="section level2">
<h2>Exercise 7 – 3 points</h2>
<ul>
<li>Using simulation envelopes, estimate both the homogeneous and
inhomogeneous pair correlation functions. – 1.5 point(s)</li>
<li>Visualise the results. – 0.5 point(s)</li>
<li>Are the estimates comparable? Which of these would you use to draw
conclusions about the clustering of provincial parks? – 0.5
point(s)</li>
<li>Are parks in BC clustered? – 0.5 point(s)</li>
</ul>
<p>Note: These steps can be slow (<span
class="math inline">\(\sim\)</span> 1-2 min). Be sure to leave enough
time for the document to knit.</p>
</div>
<div id="exercise-8-3-points" class="section level2">
<h2>Exercise 8 – 3 points</h2>
<ul>
<li>Based on these descriptive statistics, what have you learned about
the spatial distribution of parks in BC?</li>
</ul>
</div>


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