Abstract

Observed rates of increase calculated from trends in the numbers of animals present in a population should generally agree with those estimated from life-history data. However, for a small population of individually identified sperm whales Physeter macrocephalus occupying the waters of the eastern Caribbean there is a discrepancy. Using a mark-recapture analysis that included heterogeneity in identification, the population, numbering about 156 adults (95% CI 126−195) in 1998, has been increasing at 3.4% yr −1 (95% CI: 1.0−5.7% yr −1 ). However, a 2-stage matrix population model including unweaned calves and adults (and excluding mature males), whose parameters were estimated directly from empirical data, gave a projected rate of increase of −2.7% yr −1 (95% CI: −5.4 to −0.4% yr −1 ). This estimate is primarily sensitive to calculated adult mortality. The discrepancy between the observed and projected rates of increase for this popula- tion may be explained by a high, probably anthropogenic, mortality of sperm whales in the east- ern Caribbean, coupled with immigration from surrounding regions, so the area becomes an attractive sink (ecological trap). The analysis emphasizes the fragility of sperm whale populations. More generally, our analysis of this population shows that a positive observed rate of increase is not necessarily a sign of a healthy population. This case study highlights the importance of analysing populations of endangered species using multiple methodologies and with a solid base of individual-level empirical data based on longitudinal monitoring.

Highlights

  • The rate of increase is a fundamental concept in population biology

  • The calculated observed rate of increase of eastern Caribbean sperm whales is r = + 3.4% yr−1

  • The sperm whale population of the eastern Caribbean looks healthy from a numeric perspective, increasing at about 3.4% yr−1

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Summary

Introduction

The rate of increase is a fundamental concept in population biology. As such, it has been incorporated into conservation biology, constituting a metric of the health of an at-risk population, as well as its potential for recovery The ‘observed rate of increase’ (r) is the per capita rate at which the population size is increasing or. We will call the rate of increase predicted by schedules of survival and fecundity the ‘projected rate of increase’ (rs). This was traditionally calculated from life table data, but nowadays often comes from. The finite growth rate is the eigenvalue corresponding to the dominant eigenvector of this matrix, and its logarithm gives the projected rate of increase

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