← Back to article

Equation 7 · Evolutionary Biology and Ecology in Practice: An Advanced Technical Guide

What does this equation mean?

ϕ\phi

Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.

the treats. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

Read it piece by piece

ϕ\phi

Symbol phi

the treats.

Understand this part →

How to interpret it

Read this expression with the definitions, units, and assumptions supplied by the article.

What the article says around this equation

The methodological fix, formalized by Lebreton, Burnham, Clobert, and Anderson in their 1992 Ecological Monographs synthesis, is to stop estimating population size directly from raw recapture counts and instead build an explicit statistical model of the capture history — the string of detections and non-detections for each individual across sessions — with separate parameters for survival probability ( ϕ\phi ) between sessions and capture probability ( p ) within a session [ 2 ] . Their unified framework, built on the earlier Cormack-Jolly-Seber approach, treats ϕ\phi and p as estimable quantities rather than assumed constants, and — critically — provides goodness-of-fit tests to check whether…
Read the full surrounding passage
The methodological fix, formalized by Lebreton, Burnham, Clobert, and Anderson in their 1992 Ecological Monographs synthesis, is to stop estimating population size directly from raw recapture counts and instead build an explicit statistical model of the capture history — the string of detections and non-detections for each individual across sessions — with separate parameters for survival probability ( ϕ\phi ) between sessions and capture probability ( p ) within a session [ 2 ] . Their unified framework, built on the earlier Cormack-Jolly-Seber approach, treats ϕ\phi and p as estimable quantities rather than assumed constants, and — critically — provides goodness-of-fit tests to check whether the assumption that all animals of a given class share the same ϕ\phi and p is actually defensible for the data in hand.

Read the equation in its article →

Sources cited in the surrounding passage

These citations give research context. Read each source to check which claims it supports.

Return to Evolutionary Biology and Ecology in Practice: An Advanced Technical Guide

Browse the mathematical compendium →