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Modeling Exam 2
part dos
55
Other
Graduate
04/20/2014

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Term
What are 2 points to consider when estimating abundance?
Definition

1. Detection probability (β) is almost always <1.0

2.  Detection probability also varies among samples

§Heterogeneity due to random variation in sampling

 

§β also varies over space, time, among observers, among sample units (i.e., individual animals within a population)
Term

How do you estimate abundance when β = 1?

Definition

  N bar=C bar/βhat

Term
How do you estimate abundance when β = 1?
Definition
[image]

Nhat = est abundance

M = ind sampling area

ybar = # animals counter per area/ number of areas

Term
What happens to your variance if B=1 and the entire area is sampled?
Definition
There is no sample variance
Term
How do you account for different sample sizes when B=1 and you are estimating abundance?
Definition
[image]
Term
What is a disadvantage to distance sampling?
Definition
You need 60-80 minimum detections
Term
What are advantages of distance sampling?
Definition
est of density even when not every indiviudal is counted, can account for observer bias, even if youonly detect 10% you're good!, can have an unknwn sampes area size, efficient for large areas
Term
What concept is central to the concept of distance sampling?
Definition
The detection function! The p(detecting an object|distance from origin)
Term
What are potential sources of bias in distance sampling?
Definition
observer, time of day, weather, veg density, topography, bird response to obs, and so on...
Term
Where is distance sampling most useful?
Definition
Where reliable est of density are needed for comparisons between sites, though time, or for the investigation of a single pop (provided you can get 60 samples)
Term
Name the main 4 models in distance
Definition
- Single species, single season
- Single species, multiple season
- Multiple species, single season
- Multiple species, multiple seasons
Term
What is distance sampling?
Definition
A widely used group of closely related methods for estimating the density/abundance of biological populations
Term
What is the key to distance sampling analyses?
Definition
To fit a detection function to the observed distances and use this fitted function to estimate the proportion of objects missed during the survey
Term
What methods does distance sampling extend?
Definition
Quadrat-based methods - by relaxing the assumption that all the objects within the strip or study area are counted
Term
How do you estimate animal density?
Definition
Dhat = n/2wLPhat

Dhat = density
2wL = surveyed area
Phat = halfwidth/w
Term
What type of animal are point counts used most often for?
Definition
SONGBIRDS
Term
What are the perks of a point count?
Definition
Less walking (good for difficult terrain), and the obs can sit and focus in the organisms observed
Term
What are the disadvantages of a point count?
Definition
Time spent traveling between points is a waste (you can't record species detected); this method is unsuited for species that need to be flushed to be detected
Term
How do you calculate abundance?
Definition
Nhat = n/Phat

Abundance = number obs individuals/detection probability
Term
What is the probability detection function (PDF)?
Definition
P = 1/f(0)w
P = P(detection)
f(0) = represents the PDF of the detected distances, evaluated at distance 0
Term
What is the standard formula to estimate density using distance methods?
Definition
Dhat = nf(0)/2L

f(0) = represents the PDF of the detected distances, evaluated at distance 0
Term
What are the 3 main assumptions of distance sampling? And the 2 little ones? Why are they little assumptions?
Definition
1. Object 0 distance from the line are all detected
2. Detections are recorded as a snapshot in time (objects don't move)
3. Measurements are precise
4. Object locations are independent of the line (is your line parallel to a road?)
5. Detections are independent events
They are little bc Distance is robust to violations to the last 2
Term
What is the difference between design-based and model-based estimation?
Definition
design-based estimation extrapolates from the sampled areas to the region

model-based estimation assumes animals are uniformly and independently distributed through the landscape - your estimates of precision suffer

We use a hybrid approach with program Distance
Term
What are the 3 main assumptions of distance sampling? And the 2 little ones? Why are they little assumptions?
Definition
1. Object 0 distance from the line are all detected
2. Detections are recorded as a snapshot in time (objects don't move)
3. Measurements are precise
4. Object locations are independent of the line (is your line parallel to a road?)
5. Detections are independent events
They are little bc Distance is robust to violations to the last 2
Term
What is the difference between design-based and model-based estimation?
Definition
design-based estimation extrapolates from the sampled areas to the region

model-based estimation assumes animals are uniformly and independently distributed through the landscape - your estimates of precision suffer

We use a hybrid approach with program Distance
Term
What is spiked data and what are some causes of it?
Definition
Spiked data occur when there is a disproportionately high shoulder at zero (left skewed). This happens when observers are not accurate with measurements or animals are attracted to the observer.
Term
What are the 3 stages of data analysis in Distance?
Definition
Exploratory (make a histogram), model selection, and final analysis/inference
Term
What are the assumptions of occupancy analysis?
Definition
1. Closed pop
2. Constant P(occupation) across all sites
3. Detection among sites is independent, unless modeled differently
4. (Added by Ben) No unexplained heterogeneity in P(presence) or P(detection) across sites
Term
What are some perks of Presence?
Definition
More stable than Mark
More user-friendly than R
Term
Name 2 secondary Occupancy models
Definition
- Falso positive detections
- Multi-state
- Season heterogenetiy
- Season staggered entry
- Spatial dependence
- Integrate habitat occupancy
- Heterogeneous detection probabilities
Term
How often will your sampling covariance change in Presence?
Definition
With each site visit (weather, observer, date, etc.)
Term
T or F
Occupancy< Naive occupancy
Definition
FALSE
Occupancy > Naive occupancy
Term
What are 4 factors that influence density?
Definition
Births, deaths, imm, emm
Term
What is Nhat?

Distance
Definition
Estimated abundance
Term
What is M?

Distance
Definition
Individual sample area
Term
When do you use m/M?

Distance
Definition
When sample area size is uneven
Term
what is ybar?

Distance
Definition
mean count
aka # animals counted/area/# areas
Term
What is A?

Distance
Definition
Study size area
Term
What do you use the coefficient of variation for?
Definition
To tell you what sample size you need to obtain a desired level of precision
Term
Why is Distance more robust and sound than Presence or Mark?
Definition
Euclidean geometry (very sound in mathematical theory)
Term
What is Dhat?
Definition
Perfect detection
Term
What is the AUC in distance sampling?
Definition
The effective half-width (w) of the samping plot (mew)

When detection is perfect, mew=w
Term
List line transect assumptions
Definition
1. Objects 0 distance from the line have perfect detectability
2. Objects do not move prior to count in response to observer presence
3. Measurements are precise
4. Transects are randomly placed
5. Independent detections
6. 60 - 80 detections minimum
Term
What does this mean?

g(x) = P(object detected|x)
Definition
THe probability an object is detected given distance x from the center of the line/point
Term
What does this mean?

f(x) = g(x)/mew
Definition
probability an object is detected given the effective half width
Term
What is g(x)?
Definition
probability of an object given distance
Term
What is f(x)?
Definition
cumulative distribution of animals detected grouped by distance from the line
Term
What is mew?
Definition
Effective half width
Term
What is Fhat?
Definition
all detection probabilities
Term
What is 2L
Definition
Your transect
Term
What is a key function?
Definition
The shape of your histogram (how probablity drops off as you leave the line)
Term
When do you use a uniform key function?
Definition
It's outdated, don't do it
Term
When do you use a half-normal key function?
Definition
Good when your data declines markedly from the center line
Term
When do you use a hazard rate key function?
Definition
when data are spiked
Term
When do you use a exponential key function?
Definition
salvage analysis of poorly collected data when there is strong reason to believe the data are spiked
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