Practice activity
Contents
Practice activity¶
If you have installed Python locally, launch JupyterLab by running:
conda activate sds
and
jupyter lab
Checkerboards and spatial autocorrelation¶
Examples of spatial autocorrelation over a 5×5 regular grid.
# Import modules
import numpy as np
# Define grids
grid_a = np.array([[1, 1, 1, 0, 0],
[1, 1, 1, 0, 0],
[1, 1, 1, 0, 0],
[0, 0, 0, 0, 0],
[0, 0, 0, 0, 0]]).astype('int8')
grid_b = np.array([[1, 0, 1, 0, 1],
[0, 1, 0, 1, 0],
[1, 0, 1, 0, 1],
[0, 1, 0, 1, 0],
[1, 0, 1, 0, 1]]).astype('int8')
grid_c = np.array([[1, 0, 0, 0, 0],
[0, 0, 0, 1, 0],
[0, 1, 1, 0, 1],
[1, 0, 0, 1, 0],
[1, 0, 1, 0, 1]]).astype('int8')
Task 1 (6 points)¶
Run the grid cells above to define the three grids. Answer the following questions as f-strings:
a) How many rows and columnns are in
grid_a?b) How many elements in
grid_a?c) Which grid has the most numbers equal to 1?
d) Print the data type of
grid_a?e) Print the data type of the first element in
grid_a? (i.e. [0,0]). What doesint8mean?f) What is the largest number that can be stored as
int8? Show your working.
Task 2 (12 points)¶
a) What is the mean of the rook neighborhoods for element
[1,1]ingrid_a,grid_bandgrid_c? (not including element[1,1])b) Repeat (a) but for bishop neighborhoods.
c) Repeat (a) but for queen neighborhoods.
Based on your answers to (a), (b), and (c):
d) In which grid does the value of element
[1,1]exhbit positive spatial autocorrelation?e) In which grid does the value of element
[1,1]exhbit negative spatial autocorrelation?
Task 3 (2 points)¶
Add a title, your name, and date of this submission to your Jupyter Notebook using Markdown text.
Add some more Markdown text to separate each task of this assignment and use f-strings to make yours answers clear.
Important
Save your notebook to your local course folder and submit assignment (in .pdf format) to Canvas by the deadline.