Springer & Lilje's (1988) "Broken Stick" model

Equation 3 from Springer & Lilje 1988. Estimates a one-sided \(1 - \alpha\) confidence interval on the time of extinction.

Usage

SL88F1(records, alpha = 0.05)

Arguments

records: sighting records in ccon format (see convert_dodo for details).
alpha: desired significance level (defaults to \(\alpha = 0.05\)) of the \(1 - \alpha\) confidence interval.

Value

a list object with the original parameters and the confidence interval included as elements. The confidence interval is a two-element numeric vector called conf.int.

Note

All sighting records are assumed to be certain and sampling effort is assumed to be constant.

References

Key Reference

Springer, M., & Lilje, A. (1988). Biostratigraphy and Gap Analysis - the Expected Sequence of Biostratigraphic Events. Journal of Geology, 96(2), 228-236. doi:10.1086/629212

Other References

McFarlane, D. A. (1999). A Comparison of Methods for the Probabilistic Determination of Vertebrate Extinction Chronologies. In R. D. E. MacPhee (Ed.), Extinctions in Near Time (pp. 95-103). Springer US. doi:10.1007/978-1-4757-5202-1_5

Strauss, D., & Sadler, P. M. (1989). Classical Confidence Intervals and Bayesian Probability Estimates for Ends of Local Taxon Ranges. Mathematical Geology, 21(4), 411-421. doi:10.1007/Bf00897326

Examples

# Run an example analysis using the Caribbean Monk Seal data
SL88F1(monk_seal)
#> $records
#> [1] 1915 1922 1932 1948 1952
#> 
#> $alpha
#> [1] 0.05
#> 
#> $conf.int
#> [1] 1952.000 1979.711
#> 
if (FALSE) { # \dontrun{
# Run an example analysis using the Slender-billed Curlew data
SL88F1(curlew$ccon)
} # }