Cardinal direction relations in qualitative spatial reasoning
Lab 8 - Spatial Relations
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Transcript of Lab 8 - Spatial Relations
Spatial Relations
BSC 2011L
Distribute yourselves!
• Plant in the desert – need to have your roots
reach water.
• Poison arrow tree
• Algae in deep ocean
• Mushrooms on a rotting log
• Mayfly mating frenzy
Spatial relations• Distribution of individuals within a population
– how individuals are arranged in space
Random
Not random
---Even/Uniform
---Clumped 1. Clumped
2. Even/Uniform
3. RandomWhich is most common?
Non-random – Clumped
“Patchy” Physical, chemical, and
environmental conditions
Hiding places (prey or predators)
Limited dispersal of juveniles,
seeds, larvae, baby birds
Social Factors
Selfish herd
Family groups
Non-random -- Uniform• Distances between individuals
are maximized
• strong competition for a resource
– Ex. Allelopathy
– Other examples?
nest distribution of blue
tilapia in sewage treatment
ponds
creosote bushes in southwest
Random
• The location of one individual bears no relationship to the locations of other individuals
• Usually found:
– in homogeneous environments
– individuals neither attract nor repel one another
• Distributions may change:
– seasons as resources change
– spatial scale is very important
Collect data for 3 tests.
2 tests of species distribution (clumped,
even, or random)
-- Clark-Evans nearest neighbor
method
-- Variance/Mean ratio
1 test of Interspecific Association
Clark-Evans nearest neighbor
method – Ant Lions
Measure to 4 nearest neighbors
Estimate area in cm2
Clark-Evans nearest neighbor
method – ant lions
• Measure distance to „nearest neighbor‟
• Calculate RATIO of measured / expected
R = 1 RANDOM
R > 1 EVEN
R < 1 CLUMPED
Do t test to test if the R value is „significantly different
that 1 (at alpha level of 0.05)
Variance/mean ratio method
50 hoop tosses
(for our class)
COUNT
NUMBER OF
PLANTS
Colocasia esculenta
(Araceae)
Variance/mean ratio method
• If v/m near 1 random
• If v/m <1 even distribution
• If v/m >1 clumped
• TEST for significance using t test
Interspecific association
At same time as above, record presence or absence of species B in quadrant.
For each hoop
toss, record
presence or
absence of each
species
Justicia americana(Acanthaceae) 50 hoop tosses
(for our class)
Interspecific Association
Record number of hoop tosses in each category (W,X, Y, Z)
N = number of total hoop tosses
If W x Z > X x Y, positive association
If W x Z < X x Y, negative association
Do Chi-squared test
You will be doing this
worksheet at home.
*Remember this sheet is
worth 15 points
• Pgs. 147-148 in the lab manual
• Do not do computer version on
bioviewer!
Due Wednesday
• 1. Spatial Relations datasheet (pgs 147-148
using data collected in lab Saturday) (15
pts).
• 2. Quiz 4 -- Do quiz bank questions OR
improve one of the WIKI articles (turn in
paragraph explaining briefly what you did)
OR take quiz at end of lab on Spatial
Relations. (5 pts)
• 3. Population Ecology PRE-LAB (pgs 129-
130) (5 pts)