Abstract

Mating preference can be a driver of sexual selection and assortative mating and is, therefore, a key element in evolutionary dynamics. Positive mating preference by similarity is the tendency for the choosy individual to select a mate which possesses a similar variant of a trait. Such preference can be modelled using Gaussian‐like mathematical functions that describe the strength of preference, but such functions cannot be applied to empirical data collected from the field. As a result, traditionally, mating preference is indirectly estimated by the degree of assortative mating (using Pearson's correlation coefficient, r) in wild captured mating pairs. Unfortunately, r and similar coefficients are often biased due to the fact that different variants of a given trait are nonrandomly distributed in the wild, and pooling of mating pairs from such heterogeneous samples may lead to “false–positive” results, termed “the scale‐of‐choice effect” (SCE). Here we provide two new estimators of mating preference (C rough and C scaled) derived from Gaussian‐like functions which can be applied to empirical data. Computer simulations demonstrated that r coefficient showed robust estimations properties of mating preference but it was severely affected by SCE, C rough showed reasonable estimation properties and it was little affected by SCE, while C scaled showed the best properties at infinite sample sizes and it was not affected by SCE but failed at biological sample sizes. We recommend using C rough combined with the r coefficient to infer mating preference in future empirical studies.

Highlights

  • Individuals of many animal taxa display mating preferences (Andersson, 1994) which can be defined as the sensory and behavioral properties that affect the propensity of individuals to mate with particular phenotypes (Heisler et al, 1987; Jennions & Petrie, 1997)

  • Several Gaussian mathematical functions have been used to infer mating preference under the similarity preference model (Carvajal-­ Rodríguez & Rolán-­Alvarez, 2014; Débarre, 2012; Dieckmann & Doebeli, 1999; Gavrilets & Vose, 2007; Gavrilets, Vose, Barluenga, Salzburger, & Meyer, 2007; Thibert-­Plante & Gavrilets, 2013; Servedio, 2015). These functions predict the probability of mating for any particular pair based on a few key parameters (Gavrilets, 2004), namely: (1) the C parameter which represents the strength of mating preference for a trait which is supposedly evolving and contributing to assortative mating; (2) the D parameter, which represents the absolute difference between male and female trait values

  • We proposed a new method to estimate positive mating preference by similarity using the FND mathematical function (Carvajal-­Rodríguez & Rolán-­Alvarez, 2014)

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Summary

Introduction

Individuals of many animal taxa display mating preferences (Andersson, 1994) which can be defined as the sensory and behavioral properties that affect the propensity of individuals to mate with particular phenotypes (Heisler et al, 1987; Jennions & Petrie, 1997). These functions predict the probability of mating for any particular pair based on a few key parameters (Gavrilets, 2004), namely: (1) the C parameter (equivalent to Pearson’s r in empirical approaches) which represents the strength of mating preference for a trait which is supposedly evolving and contributing to assortative mating; (2) the D parameter, which represents the absolute difference between male and female trait values (see Equation 1 below).

Results
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