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Pop. Dyn Test 2
distance sampling, exploited pops
54
Biology
Graduate
04/03/2013

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Term
Change in ratio method
Definition
estimation of population sex ratio before and after hunting as well as total harvest to calculate population size
Term
Who came up with change in ratio method and when?
Definition
Kelker 1940
Term
Assumptions of change in ratio method (2)
Definition
1. Population is composed of two types of organisms (eg. male and female, adults and young)

2. a differential change in numbers of the two types occurs during the observation period (hunting season)
Term
change in ratio terminology
x-type
y-type
N1
N2
X1
X2
Y1
Y2
P1
P2
Rx
Ry
R
Definition
type 1
type 2
total pop at time 1
total pop at time 2
# of xtype at time 1
# of x type at time 2
# of y type at time 1
# of y type at time 2
proportion of x types in pop at time 1
proportion of x types in pop at time 2
net change in #'s of x type between time 1 and 2 (+ or -)
net change in #'s of y type between time 1 and 2 (+ or -)
Net addition to or removal from the total population between time 1 and 2
Term
Change in ratio method formula:
Definition
N1= (Rx-p2^R)/(P2-P1)
Term
Go over calculation example in ppt (exploited pop)
Do you have to calculate variance on the test?
Definition
NO!
Term
Catch-Effort Methods was made by who in what year?
Definition
Leslie and Davies (1939)
Term
Why is catch/effort restricted?
Definition
Only works if large enough fraction of the population is removed to cause a decline in the Catch per unit effort.
Term
Will Catch-Effort work if the population is large relative to removals?
Definition
twill not
Term
Catch-Effort not only reports relative catch per effort, but estimating ___
Definition
population size
Term
Catch-Effort Assumptions (3)
Definition
Population is closed
constant probability of each individual being caught in a trap
equal probability of catching each individual
Term
you plot a graph on an x-axis and a _-axis
Definition
y, very good! Good thing you came to class to get that answer. Bet you could've never deduced that one!
Term
Fun with terminology: (Catch-Effort) Ci Ki fi Fi
Definition
Catch, or # of individuals removed at sample time I
Accumulated catch, from the start to the beginning of sample time I
trapping effort, or amount of trapping effort expended in time I
accumulated amount of trapping effort, from start to the beginning of time I
Term
Assuming the assumptions are true, catch per unit is directly proportional to ____
Definition
existing population size.
Term
In catch-effort, To find the existing population size, you:
Definition
plot x-axis (accumulated catch) Ki
y-axis (catch per unit effort) Ci/fi
Term
In a catch-effort graph, how do you find the initial population size (N)?
Definition
x intercept
Term
In a catch effort, what is the problem with the gear?
Definition
Most gear is selective, more vulnerable animals are captured first and then you have subsequently reduced capture rates
Term
What does selective gear in catch-effort method result in?
Definition
underestimation of population size
Term
To be an effective estimator, catch-effort requires a capture efficienct of
Definition
>30%
Term
True or False (Catch-Effort)
capture probability isn't constant among each of the trapping seasons
Definition
Truth
Term
Finite sampling approach
Definition
given a fixed area (trapping grids)
how many objects are in it?
Term
distance sampling approach
Definition
given the detection of n objects, how many objects are estimated to be within the sampled area?
Term
Are a high or low % of objects detected with distance sampling?
Definition
low
Term
distance sampling:
x=
Definition
perpendicular distance from line to object
Term
Two weird things about distance sampling:
Definition
1. size of sample area is sometimes unknown
2. many objects may not be detected for whatever reason
Term
Method of Distance Sampling
Definition
measure distance from object to the ambiguous line or point
Term
Teminology shmerminology (distance sampling)
N
X
R
Definition
number of objects detected
perpendicular distance
radial distance
Term
ssyyymmmbolism: (line transect sampling)
l
L
ri
Oi
xi
Definition
transects
Sum of the lines
sighting distance
angle to objects detected while walking the line
perpendicular distance to each object
Term
how do you calculate xi in distance sampling?
Definition
[image]
Term
about what % of the population is detected with line sampling?
Definition
10-30%
Term
g(x) the detection function
Definition
the probability of detecting an object, given that it is at distance x from the random line or point
Term
g(x) ranges from:
lower g(x) means
higher g(x) means
Definition
0 to 1
higher distance
lower distance
Term
line sampling
objects on the line are assumed to be:
Definition
seen with certainty g(0)=1
Term
what sample size should you have for distance/ line transect sampling?
Definition
60-80 is needed for a precise estimate
Term
5 assumptions of program distance
Definition
1.objects on the line will always be seen
2. objects do not move prior to detection and are only counted once
3. distances and angles are measured exactly
4. sightings are independent events
5. group size does not affect probability of detection
Term
program distance measures
Definition
density
Term
look up distance formula and variables in
Definition
distance lecture
Term
distance fits the perpendicular distance data to:
Definition
a list of models that you input
Term
models used for distance should:
Definition
have a shoulder near 0 and be robust to the assumptions
Term
Fourier series model for distance:
Definition
uniform model with a cosine series expansion term

often used to estimate f(o) in the literature
Term
Fourier series model is considered to be best because:
Definition
it is robust in most situations
Term
what does robust mean?
Definition
it can deal with some violations of assumptions and still give a precise estimate that is viable
Term
Distance terms:
D
se(d)
Definition
Density
standard error for estimate
Term
Distance uses ___ to select the best model.
Definition
AIC
Term
AIC selects a model that:
Definition
fits the data well and has the fewest parameters
Term
AIC value is calculated for ___models you input. Distance picks the model with the ____ AIC value to be the best model.
Definition
all
lowest
Term
should the distance model be used for animals in groups such as quail?
Definition
you can't use the straight density estimate without adjusting it
Term
in distance how do you estimate density if animals occur in independent clusters?
Definition
multiply average cluster size by the density calculated by distance
Term
if animals occur in clusters that are dependent on cluster size what do you have to do to the data?
Definition
stratify it according to cluster (aka 1-5, 6-20, 21+), run analysis per group, sum the estimated densities for a total density
Term
what common reasons are there for outliers in distance?
Definition
animals moving, animals easier to detect, detected differently than others
Term
how can you improve your density estimates in program distance?
Definition
truncating 5% of the animals detected farthest from the line
Term
why is it ok to truncate your data in program distance?
Definition
observations on the far right tail of the distribution usually arise from different detection process and aren't informative.
Term
why is grouping of data in program distance helpful?
Definition
it reduces problems associated with "heaping," errors in distance measurement, and movement prior to detection

you don't have to know exact distance, allows you some room for error without messing up data
Term
what is heaping?
Definition
error in measurement/judgement, many of the numbers seem to be about the same distance
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