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Ch. 9: Known Fate Models
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18
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Undergraduate 4
04/11/2012

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Cards

Term
Cormack-Jolly-Seber Model
Definition

Estimate survival rate 

based on recapture and/or resighting of marked 

individuals (fates are not known for all individuals, 

because p < 1).

Term
Known-fate model
Definition

Estimate survival rate when fates 

(i.e., alive or dead) of individuals can be determined 

with certainty (probability of detection, p = 1).

Term
Band recovery models
Definition

Estimate survival rate and 

other parameters based on recoveries of tags from 

harvested individuals (fates are not known for all 

individuals, because recovery rate < 1).

Term
Estimating the Probability of Survival
Definition
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Term
Interval Survival Data
Definition

* A group of animals are radiomarked @beginning of study and then observed at the end of some interval.

 

maximum likelihood estimate:    

Š= yi/n

yi: days

variance: (where n>30)

var(Š) = Š (1-Š)/n

**Issue: info is lost when only option is dead or alive**

survival rate is not constant over time

Term

Capture history

*1st position*

Definition

1: the individual is known to be alive at the start of interval

 

0: the individual is not yet tagged or has been censored

Term

Capture history

*2nd position*

Definition

0: the individual survived to the end of the interval

 

1: the individual died sometime during interval

Term
Censoring
Definition

The loss of potential observations, because the fate of an individual is not known for some occasion or multiple occasions.

 

Due to:

-radio failure

- emigration

- Termination of study before animals die

Term

Known Fate model

ln(likelihood function)

 

 

Definition
ln(L(S/ni)=Σ (frequency)*ln(probability)
Term

5 Assumptions of

Known Fate Model

Definition

1. The sample is representative of the sample studied.

2. "Marked" animals are independent samples.

3. Survival rate is homogenous across individuals

(rate can vary over time)

4. Detection probability is 1 at each occasion

5. Censoring is independent of the fate of the animal. Any animal not located must be as likely to be alive as dead.

Term
BIDE v. bide
Definition
BIDE= true abundance
bide= per capita rates
Term

Encounter History


10 10 10 10

Definition

Probability

S1 S2 S3 S4


Interpretation

Tagged on occasion 1 and survived to the end of the study




Term

Encounter History


10 10 11 00

Definition

Probability

S1 S2 (1-S3)


Interpretation

Tagged at occasion 1, known alive during 2nd interval, died during 3rd interval

Term

Encounter History


10 11 00 00

Definition

Probability

S1 (1-S2)


Tagged on occasion 1, died during 2nd interval

Term

Encounter History


11 00 00 00

Definition

Probability


(1-S1)

Tagged on occasion 1 and died during the 1st interval

Term

Encounter History


10 00 00 10

Definition

Probability


S1 S4

Tagged on occasion 1, censored for intervals 2 and 3 (not detected) and re-inserted into the study on occasion 4

Term

Encounter History


00 00 10 11

Definition

Probability


S3 (1-S4)

Tagged on occasion 3, died during the 4th interval

Term

Encounter History


10 00 00 00

Definition

Probability


S1

Tagged on occasion 1, known alive at the end of the 1st interval, but not released at occasion 2 and therefore censored after the first interval

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