Questions tagged [capture-mark-recapture]

capture-mark-recapture is a statistical sampling method to estimate an unknown population size by taking two independent samples and gauging the degree of overlap between them.

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dmultinom discrepancy [closed]

I am trying to write a simple Maximum Likelihood Estimator based on the following pmf for the multinomial distribution. $$f(x_{1},\ldots ,x_{k};n,p_{1},\ldots ,p_{k})=\frac{n!}{x_1!\cdots x_k!} p_1^{...
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Posterior predictive check for capture-recapture data using jagsUI wrapper

The R package jagsUI is a wrapper for JAGS that has some awesome functions, including a posterior predictive check. As discussed here, you simulate the new data for the parameters based on the ...
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Estimating Size of a Set based on three or more Overlapping Subsets

What's the solution to the capture-recapture problem with 3 or more overlapping subsets, not just 2, as in the standard version of the problem?
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Hypergeometric distribution when K is unknown

The probability to have $k$ white balls in a sample of size $n$ taken from an urn of $N$ balls with $K$ of them being white is equal to: $$ P(k|n,N,K) = \frac{{{n}\choose{k}}{{N-n}\choose{K-k}}}{{{N}\...
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Tradeoff between Survival probability and detection probability: Mark-recapture

When scientists are using mark-recapture models on an open population model to estimate the survival probability and the recapture probability (also known as "detection"), how can we be sure that the ...
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1answer
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Check a sortition

[Warning: newbie in stats. It's a practical problem at work, not a homework, I'm not a student.] I have N entities and a process chooses M randomly (in theory...). M < N If there are two ...
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Capture-recapture analysis with only one recapture event

I am analyzing within-season variation of the components of reproductive success looking at temporal changes and their relationship. I have a problem with pre-fledging survival (the survival ...
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Occupancy vs mark-recapture?

What are the differences between occupancy models and mark-recapture in ecology? As I understand it, we use occupancy models when we aren't sure if detectability is a given (not sure of presence/ ...
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Capture recapture model validation

In the absence of an actual population to test on, what are the best practices for validating capture recapture models?
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Clarification on calculating odds ratios for interaction between continuous variables

I know this or a similar question has been addressed more than once on CV, and I've tried to read/understand the responses, but I'm still stuck and hoping for some further clarification. Results from ...
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Contaminated mark-recapture: estimating set size from sampled subsets

Someone poured marked balls in my urn! Simplistically, I think this is a capture-recapture problem where, after drawing and marking balls from the urn, somebody added an unknown number (approx 25% of ...
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Estimating Size of a Set based on two Overlapping Subsets

I've searched everywhere for a similar question and many things come close but are not the same. I'm looking for a way to estimate the size of a set if two partially overlapping subsets are known (...
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Estimating number of balls by successively selecting a ball and marking it

Lets say I have N balls in a bag. On my first draw, I mark the ball and replace it in the bag. On my second draw, if I pick up a marked ball I return it to the bag. If, however I pick up a non-...
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Capture Recapture Method for Estimating Crowds

Does anyone know of a study that has actually used capture recapture methodology to estimate visitor numbers at an open air event? We are thinking of using this method at our annual festival, which ...
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Estimation/simulation of homing with time effect

I have birds translocated from site A (original, capture site) to site B (new, release site) and I want to analyse homing behaviour. Translocation of individuals was performed continuously (several ...
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Mark and recapture with known upper bound

I was thinking this may be similar to a Mark and recapture problem where there is a known upper bound, hence the title. I am doing a proportion but sometimes the estimate is larger than the known ...
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Estimating overlap from subsamples (a mark-recapture problem?)

I have a population at two time points, $N_t$ and $N_{t+1}$. Some members persist from one time point to the next, but many die out, and many are added. I want to know the fraction of $N_t$ that ...
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sketching sampling distribution

I have another question about distributions as I am going through an exercise. I apologize for posting on the other site by mistake. Millions of birds are released, 100 of them have tags and 7 of the ...
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Estimating repeat shoppers from an incomplete sampling

I'm trying to estimate how many people visited the farmers market once, twice, thrice, etc. in a given time period, using sampled data. We have interview data from approximately 50% of visitors as ...
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Estimating population size and a proportion

I am interested in the following sampling problem, which I will try to describe by a motivating example. Suppose we want to estimate how many people in a certain area, has blue eyes, how many have ...
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Capture-recapture sampling valid in literary analysis?

So I've been compiling a list of fictional (anime/manga) characters which meet a certain criteria (http://www.gwern.net/hafu#list) from a universe of all anime/manga characters since 1963 (which is of ...
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What does “return rate” mean in population ecology models?

What does "return rate" (tasa de retorno in spanish) mean in population ecology models? In context of capture-mark-recapture models. I have found many articles on ...
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Predicting total number of bugs based on number of bugs revealed by each tester

Assuming n testers were independently testing the same application for a given period. Each tester found a given set of bugs (Some of the bugs were detected by more than one tester). For example: ...