Abstract

This study develops a nearly unbiased estimator of the ratio of the contemporary effective mother size to the census size in a population, as a proxy of the ratio of contemporary effective size (or effective breeding size) to census size (Ne/N or Nb/N). The proposed estimator is based on both known mother–offspring (MO) and maternal‐sibling (MS) relationships observed within the same cohort, in which sampled individuals in the cohort probably share MO relationships with sampled mothers. The rationale is that the frequency of MO and MS pairs contains information regarding the contemporary effective mother size and the (mature) census size, respectively. Therefore, the estimator can be obtained only from genetic data. We also evaluate the performance of the estimator by running an individual‐based model. The results of this study provide the following: (a) parameter range for satisfying the unbiasedness, and (b) guidance for sample sizes to ensure the required accuracy and precision, especially when the order of the ratio is available. Furthermore, the results demonstrate the usefulness of a sibship assignment method for genetic monitoring, providing insights for interpreting environmental and/or anthropological factors fluctuating Ne/N (or Nb/N), especially in the context of conservation biology and wildlife management.

Highlights

  • The Estimation of the ratio of the contemporary effective population size to the census size (Ne/N) has attracted much research attention for providing information about a current population, especially in the context of conservation biology and wildlife management (Frankham, Bradshaw, & Brook, 2014; Palstra & Fraser, 2012)

  • We propose a new method for estimating the ratio of contemporary effective mother size to the census size (Ne,m/Nm) in a population, as a proxy of Ne/N

  • We theoretically developed a nearly unbiased estimator of the ratio of contemporary effective mother size to the census size (Ne,m/Nm) in a population (Eq 10)

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Summary

INTRODUCTION

The Estimation of the ratio of the contemporary effective population size to the census size (Ne/N) has attracted much research attention for providing information about a current population, especially in the context of conservation biology and wildlife management (Frankham, Bradshaw, & Brook, 2014; Palstra & Fraser, 2012). Close-kin mark-recapture (CKMR) is a recently developed method for estimating N that utilizes the information about kinship in a sample. This was possible owing to the recent advances in genetic methods for kinship determination (Bravington, Grewe, & Davies, 2016; Bravington, Skaug, & Anderson, 2016; Hillary et al, 2018; Skaug, 2017) similar methods have been proposed in the beginning of the 21st century (Nielsen, Mattila, Clapham, & Palsbøll, 2001; Pearse, Eckerman, Janzen, & Avise, 2001; Skaug, 2001). Assuming that kinships are genetically detected without any error, this method is based on the numbers of maternalsibling (MS) and mother–offspring (MO) pairs in a sample. The description of the model focuses on fish species, which are presently the best candidate target of our proposed method

Hypothetical population
Sampling
Individual-based model
RESULT
Findings
DISCUSSION
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