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Encounter Rate
probability of a live animal entering the observed sample in time t
Capture Rate (Mark-Recapture)
probability that an individual is captured during a given time period in an actual trap or net
Recovery Rate
probability that a hunter will, during a given time period, shoot a marked animal- shot and recovered animals cannot be released to the wild because they are dead. “Recoveries” are a special type of mark-recapture data
Re-sighting Rate
probability that an animal marked with colored or numbered tags will be seen by a person and recorded (i.e., not in a trap) during a given time period
Establishing Capture History (Mark-Recapture)
110010: six occasions
captured on 1st, 2nd, and 5th
How many time to sample a population
at least 2 times or more
Capture Probability (p)
probability (p) that an individual is captured during a given time period in an actual trap or net
Closed Population Type (Mark-Recapture)
assume no births, deaths, immigration, or emigration during the study
normally short time periods (depends on species)
used to estimate population size
Open Population Type (Mark-Recapture)
assume that births, deaths, and movement occur
usually longer studies
used to estimate survival and movement rates
Cohort
number of marked animals released in time period t
Captured In All Periods
1-1-1
Captured In First Two Periods
1-1-0
Captured In First and Third Periods
1-0-1
Only Captured In First Time Period
1-0-0
Lincoln-Petersen Capture Model
capture animals in 1st occasion, mark them, capture (or recover) animals in second occasion
Notation
n1 = animals captured, marked and released
n2 = animals captured in 2nd sample
m2 = number in n2 that were previously marked
N = population (unknown)
works well with large samples
Theory of Lincoln-Peterson
% of marked animals remains the same in both capture periods (1 and 2)
sample in 2nd period gives insight to reality
Lincoln-Petersen Assumptions
Capture probabilities are equal for all animals at each occasion
p1 and p2 do not have to be the same
Re-sighting an animal = “second capture”
Marking does not affect p2
No loss of marks between occasions
All marks at time 2 are reported
Random sample of population each time
Immobilization
induction of chemicals/drugs to capture or restrain animals
Anesthesia
use of drugs or other substances to temporarily induce a loss of feeling or awareness. Allows clinical procedures to be done with a minim of pain, discomfort, and side effects to the animal
Analgesia
the loss of sensitivity to pain (painkillers)
Akinesia
loss of motor response (movement) due to paralysis of motor neurons
Requirements of large animals that cannot be captured to use remote injection
must have adequate muscle mass- to absorb impact of the dart
must have adequate circulation- to rapidly absorb and cause rapid effects of drug
When administering remote injection to shoulder region
avoid joint
When administering remote injection to hindquarter region
avoid head of femur
Capture Myopathy
stress from being captured
Effects of Capture Myopathy
Stress results in lactic acid release into
bloodstream
– Changes pH in blood, which can result in cardiac
failure immediately in some cases
– If animal survives immediate condition...as heart
muscle dies over the next week, it releases
myoglobin (protein, binds oxygen and iron)
– Myoglobin damages kidneys, lungs, and liver—
death can result in delayed fashion
Sedative
depresses the central nervous system dulling conscious awareness; stimuli are received but brain normal response is decreased
Anesthetics
alleviates the perception of pain
Muscle Paralytics
fully conscious, but cannot respond
Tranquilizers
used in conjunction with other drugs (sedatives, anesthetics, muscle paralytics)
Neuromuscular Blocking Agents
act on the junction between nerve and muscle
paralyzes, but feel pain
not ethical to use
Central Nervous System Agents
act on the brain and spinal cord
produces anesthesia, loss of consciousness
ethical to use
Opioids (Carfentanil)
Morphine-like, highly potent in small volumes, loss of consciousness, may be reversed (but may “recycle”)
Cyclohexamines (Ketamine)
Rapid immobilization with altered consciousness (not loss), may move tongues and blink. Cannot be reversed (have to wait to recover)
Neuroleptics (Diazepam (valium), Xylazine)
Tranquilizers (calmness and relaxation), do not cause loss of consciousness at safe doses, often used in combination with opioids and cyclohexamines
Drugs Birds Get
gas anesthesia, ketamine combinations for surgeries
Drugs Amphibians Get
gas anesthesia
Drugs Reptiles Get
ketamine alone, gas
Non-Invasive Marking Methods
bands
neck collars
external color marking
Invasive Marking Methods
radioisotopes/chemical markers
ear tags
PIT (passive integrated transponders)
tattoos
ear notching, shell/toe/scale clipping
When is Chapman modification used
when you have small samples of mark-recapture
What process provides CJS - capture history
mark-recapture
Used in Finding Known Fate
radio telemetry
Collar/Necklace
mostly for mammals (necklace for birds). Collar needs to be tight enough to not go over neck, but not too tight to cause skin irritation, allow for growth, movement
Backpacks
used mostly with birds; loops around breast and belly. Use of backpacks has slowed to a large degree, or have been modified
Harness Loops
used mostly with small birds; loops around legs
Subcutaneous Anchors
placed under skin with “anchor”; anchored in place. used with birds, mammals
Modified Leg Bands
used mostly with birds with relatively long legs
Glue-on transmitters
used with birds, bats, mammals, reptiles
Implants
surgically implanted into animal; requires vet, immobilization (birds, mammals, reptiles and fish)
What methods are used to adjust for imperfect data?
Mayfield Survival Method
Open population
Right-censoring
Kaplan-Meier method
What do you collect in the Mayfield Survival Method?
- track exposure days
- determined fate (and date)
- produces daily survival rate (4 decimal places)
What is the key assumption of Mayfield Survival Method?
all subjects have constant survival during observation --> allows for staggered entry
What are the Kaplan-Meier method assumptions?
- Keeps track of individuals over interval times
- Mortality not constant over interval times
- Mortality rate constant per individual
What is the Kaplan-Meier method?
way to collect survival rates of units of time with corrections to error
Reducing Error Polygons
Take 45 and 90 degree angles on transmitter
Get closer to transmitter (without disturbing animal)
Move to different locations as fast as you can
Get to higher ground- hear transmitter better
Exposure Days
the number of days the animal, nest, or young is exposed to a possible mortality event
What is staggered entry?
subjects are not required to enter the study at the same time to the sample
Home Range
contains essential requirements of life: food, water, cover; area traversed by the individual in its normal activities of food gathering, mating, and caring for young
What is the importance of home range?
useful for managers and biologists for planning conservation areas
useful as a statistic of animals under different treatments
practical for hunting/trapping animals
Utility Distribution (UD)
the relative intensity or probability of use of areas by an animal, or what is the probability that an animal will use a given point in space in a given period of time
Core Area
Subset of the range excluding occasional outlier excursions; or, the UD with disproportionately high use compared to the rest of the range
Territory
defended part of animal’s home range
How to obtain home range data?
telemetry (most common)
multiple recaptures
marks on animals (natural or not)
Minimum Convex Polygon
Create “95% utility distribution” by removing 5% of the OUTER-most points that reduces area the most
What are ways/estimators to analyze home range?
minimum convex polygon
bi-variate normal (parametric)
grid
harmonic mean
kernel
Advantages of Minimum Convex Polygon (hulls)
simplest
history of use (compare to others)
flexibility of shape
ease of calculation
Disadvantages of Minimum Convex Polygon (hulls)
size increases with number of locations
cannot compare to others
does not indicate interior use of home range
Parametric Method: Normal Distribution Assumes:
animal’s activity concentrated in center of home range
probability of occurrence decreases with distance from center (bell-shaped curve)
Home range ALWAYS elliptical- single center of activity
Grid Cell Count Advantages
avoids assumptions of underlying distribution (e.g., normal distribution)
can determine areas of high use and eliminate outliers
Grid Cell Count Disadvantages
can miss areas that may be important in home range
analyses and comparisons are very sensitive to cell size
same sample size issues as MCP
Harmonic Mean
scoring the landscape
based on the distribution of animal locations- not statistical distribution
uses comparison of a gridded map to the animal locations to derive activity contours
each grid point gets a score for how close it is to animal movements
home range shapes can be irregular
The Kernel Estimator
value of the utility distribution (UD) at a landscape point
the more times an animal is near given site on the landscape, the probability that the animal uses the site increases
Habitat Selection Order (First)
location of physical or geographic range of a species
Habitat Selection Order (Second)
location of home range within a study area or geographic range of species
Habitat Selection Order (Third)
habitat components within a home range
Wildlife Community Assessments
focuses on ecosystem health rather than individual species/population
Habitat Use
quantity of resource used in a fixed period
Habitat Availability
amount of each resource accessible for use
Habitat Selection
disproportionate use of, a habitat relative to its availability
Log Ratio (Compositional Analysis)
a modification of a simple ratio (fraction):
Calculated as:
Log10 (% use / % available)
Note: Log10 (1.0) = 0
Negative log ratios indicate less use than
availability
Positive log ratios indicate more use than
availability
Zero equals no selection or avoidance
So, “log” used to ‘center’ on 0, rather than 1
Species Diversity
the diversity of the community measured by species richness and evenness
Species Richness
the number of species in a community
Species Evenness
the distribution of individuals among species in a community