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Evolution, 2023, 77(10), 2326–2333
https://doi.org/10.1093/evolut/qpad149
Advance access publication 24 August 2023
Brief Communication
Meiotic drive does not impede success in sperm
competition in the stalk-eyed fly, Teleopsis dalmanni
SadéBates1,, LaraMeade1,, AndrewPomiankowski1,2,
1Department of Genetics, Evolution and Environment, University College London, London, United Kingdom
2CoMPLEX, University College London, London, United Kingdom
Corresponding author: Department of Genetics, Evolution and Environment, University College London, Gower Street, London, WC1E 6BT, United Kingdom.
Email: ucbhpom@ucl.ac.uk
Abstract
Male X-linked meiotic drive systems, which cause the degeneration of Y-bearing sperm, are common in the Diptera. Sperm killing is typically
associated with fitness costs that arise from the destruction of wildtype sperm and collateral damage to maturing drive sperm, resulting in poor
success under sperm competition. We investigate X-linked meiotic drive fertility in the stalk-eyed fly, Teleopsis dalmanni. Drive male paternity
was measured in double mating trials under sperm competition against a wildtype male. Drive males sired the same number of offspring as
wildtype males, both when mated first or second. This is the first evidence that drive males can compete equally with non-drive males in double
matings, challenging the assumption that drive males inevitably suffer reduced fertility. The finding is in accord with previous work showing that
the number of sperm per ejaculate transferred to females during non-competitive single matings does not differ between drive and wildtype
males, which is likely due to the adaptive evolution of enlarged testes in drive males. Future experiments will determine whether the competitive
ability of drive males is maintained under higher rates of female remating likely to be experienced in nature.
Keywords: meiotic drive, stalk-eyed fly, sperm competition, multiple mating
Introduction
Meiotic drive causes the unequal transmission of genes to
the next generation, violating Mendelian laws of segrega-
tion (Gershenson, 1928; Sandler & Novitski, 1957). In the
extreme, the driver entirely excludes wildtype alleles and is
transmitted to all offspring (Searle & de Villena, 2022; Wolf
et al., 2022). X-linked drivers are common among Diptera
species and lead to dysfunction of Y-bearing sperm and the
production of female-only broods (Hurst & Pomiankowski,
1991; James & Jaenike, 1990; Jiggins et al., 1999; Newton et
al., 1976; Policansky, 1974; Presgraves et al., 1997). Such a sig-
nicant transmission advantage could potentially lead to pop-
ulation extinction due to the lack of males (Hamilton, 1967;
Hatcher et al., 1999; Mackintosh et al., 2021). However, the
tness costs associated with carrying drive genes often result
in negative frequency-dependent selection, which limits their
spread (Finnegan et al., 2019; Lindholm et al., 2016).
One factor that strongly impacts the spread of meiotic drive
genes is reduced fertility (Zanders & Unckless, 2019). Males
with drive not only lose wildtype gametes but typically suf-
fer pleiotropic “collateral damage” that reduces the activity
or number of mature drive sperm, leading to poor outcomes,
especially under sperm competition (Price & Wedell, 2008).
This decit is likely to be prominent in insects that possess
reproductive organs specialized for long-term storage of via-
ble sperm, increasing interactions between ejaculates (Parker,
1970). Evidence from sperm competition studies of X-linked
meiotic drive systems in Drosophila species supports this pre-
diction. In Drosophila pseudoobscura, SR drive males sire
fewer offspring than standard males in double mating trials
(Price et al., 2008a). Drive males have a disproportionally
lower success both in their ability to defend against other
sperm as the rst (P1) male or to displace sperm already in
storage as the second (P2) male (Price et al., 2008a). A similar
pattern occurs in Drosophila simulans with reduced success
in P1 and P2 positions for drive males, and preferential drive
male sperm ejection from the female reproductive tract even
without competition from the second male’s sperm (Angelard
et al., 2008; Atlan et al., 2004). It has been suggested that in-
creased female polyandry evolves to undermine the success of
drive sperm and an experimental evolution study in D. pseu-
doobscura and a double mating experiment in Drosophila
recens support this possibility, linking the frequency of drive
with the rate of multiple mating (Courret et al., 2019; Dyer
& Hall, 2019; Haig & Bergstrom, 1995; Price et al., 2008b;
Zeh & Zeh, 1997).
In this article, we investigate the association between
X-linked meiotic drive and reduced male fertility using
the X-linked SR meiotic drive system in the stalk-eyed y,
Teleopsis dalmanni. Stalk-eyed y females store sperm in
the spermathecae (long-term storage organs) after mating,
before sperm migrate to the ventral receptacle, where they
are individually packaged into pouches prior to release into
the oviduct for fertilization of mature eggs (Kotrba, 1995;
Presgraves et al., 1999). In several stalk-eyed y species, the
main mode of sperm competition is sperm mixing, rather than
male precedence (Bellamy, 2012; Corley et al., 2006; Lorch
et al., 1993; Wilkinson et al., 1998a). Double mating trials
Received October 10, 2022; revisions received July 14, 2023; accepted August 21, 2023
Associate Editor: Brandon S.Cooper; Handling Editor: TraceyChapman
© The Author(s) 2023. Published by Oxford University Press on behalf of The Society for the Study of Evolution (SSE).
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/),
which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
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2327Evolution (2023), Vol. 77, No. 10
appear to conrm that drive males should be poor competi-
tors as drive (SR) males sired fewer offspring than wildtype
(ST) males (Wilkinson & Fry, 2001; Wilkinson et al., 2006).
However, several factors raise concerns about a simplistic
interpretation of these ndings. The rst study was an in-
ter-population cross of Malaysian and Thai ies. It was car-
ried out before genetic markers had been developed and used
variation in leg color to assign parentage, which has an un-
known error rate (Wilkinson & Fry, 2001). In addition, this
study was in the conger Teleopsis whitei which may well have
a different pattern of sperm competition than in T. dalmanni.
The second study is in T. dalmanni and reported a lower SR
male paternity using double mating trials (Wilkinson et al.,
2006). However, this effect was limited to broods in which
all offspring were sired by a single parent, that were less fre-
quently fathered by SR males. There was no difference in SR
and ST paternity in mixed paternity broods. In addition, this
experiment only considered the competitive ability of SR
males when mating second. This means that defensive traits
of SR sperm and ejaculate were not assessed, so it is unclear
whether the lack of success of SR males is general or limited
to lower sperm precedence when mating second.
In addition, a profound challenge arises from recent nd-
ings that SR males transfer similar numbers of sperm per
ejaculate (Meade et al., 2019, 2020). This was measured in
females both in the spermathecae and the ventral receptacle
after matings with SR or ST males, as well as after up to three
sequential matings by a single male (Meade et al., 2019).
Furthermore, when egg counts were used to measure fertil-
ity after single matings, it did not differ for females mated
to SR or ST males (Meade et al., 2020). Dissection of adult
SR males reveals that they have greatly enlarged testes, which
allow sperm delivery and fertility to be maintained despite
the destruction of sperm caused by meiotic drive (Meade et
al., 2019, 2020). This challenges the conventional view that
drive males are weak competitors, and specically, the nding
of a competitive decit of drive males in double mating trials.
Here, the competitive success of SR males was measured in
a standard sperm competition assay using reciprocal double
mating trials in which the SR male mated rst followed by
the ST male, or vice versa. This allowed an assessment of the
SR male’s success in both the offensive and defensive role and
revealed whether there is rst or last male sperm precedence.
Even though multiple mating well above two is the norm in
T. dalmanni stalk-eyed ies (Baker, 2001; Baker et al., 2003;
Chapman et al., 2005), the simplicity of the double mating
trial allows clear assessment of whether SR sperm suffer a
disadvantage in competition with ST sperm when the two
males mate equally. The offspring arising from these trials
were collected and genotyped at the larval stage to determine
the proportion of offspring sired by SR males. This enabled
the study to avoid confounds in paternity share relating to egg
to adult viability differences, which have recently been shown
to disadvantage SR-carrying larvae (Finnegan et al., 2019).
Methods
Stock populations
Flies for the standard stock (ST-stock) population carry
only the wildtype X chromosome (XST). They were collect-
ed (by S. Cotton and A. Pomiankowski) in 2005 from the
Ulu Gombak valley, Peninsular Malaysia (3°19ʹN 101°45ʹE).
They have since been maintained in high-density cages (>200
individuals) to minimize inbreeding and are regularly moni-
tored to ensure they do not contain the meiotic drive.
The meiotic drive stock (SR-stock) population is composed
of females that are homozygous for a sex-ratio-distorting X
chromosome (XSR). They were derived from ies collected in
2012 (by A. Cotton and S. Cotton) from the same location
as the ST-stock. XSR/Y males produce 100% female offspring
due to transmission distortion. The XSR female stock is main-
tained by crossing XSR/XSR females with XST/Y males to pro-
duce XSR/Y drive males, who are then mated to the XSR/XSR
females to generate the next generation of the SR-stock fe-
males. The outcrossing to ST males from the ST-stock ensures
that the two stocks only differ in their X chromosomes and
are homogenized for autosomal content.
Both stock populations were kept at 25 °C, with a 12:12
hr dark:light cycle and fed puréed sweetcorn twice weekly.
Fifteen-minute articial dawn and dusk periods were created
by illumination from a single 60W bulb at the start and end
of the light phase.
Experimental populations
Experimental ST (XST/Y) and SR males (XSR/Y) were drawn
from the ST-stock and SR-stock, respectively. They were
housed separately in cages of ~50 individuals until sexually
mature, in groups of similar age (6–8 weeks). ST-stock females
were added to these cages at an equal sex ratio for > 3 days
to allow males to mate. The females were then removed and
discarded. Experimental males were then kept in single-sex
groups for a further 3–6 days to allow their accessory glands
to return to full size (Rogers et al., 2005).
Experimental ST females (XST/XST) were drawn from the
ST-stock. All experimental females were virgins, 6–8 weeks
old, and had reached sexual maturity (Baker et al., 2003).
ST females were anesthetized on ice and their eyespans were
measured (see below method) to exclude small ies and limit
variation in size and fecundity that could inuence sperm al-
location strategies in males (Cotton et al., 2015). Only large
females with an eyespan > 5.4 mm were used in mating trials
(range 5.4–5.8 mm).
Sperm competitiveness of SR and ST males
Mating trials were conducted to measure the competitiveness
of SR and ST males. On the day preceding each assay, ex-
perimental females were housed singly in 500 ml clear plas-
tic containers with a moist cotton wool base. On the trial
day, a single male was added to each container ~15 min after
dawn, as this is the period during which mating is most likely
(Chapman et al., 2005). Males were allowed to mate, dened
as a copulation lasting ≥ 30 s, as durations shorter than this
are usually insufcient for sperm transfer (Cotton et al., 2015;
Rogers et al., 2006). The mating duration was recorded. If no
mating was observed after 15 min, the male was moved to a
new container with a new female. If mating still did not occur
after a further 15 min, the male was discarded. The origi-
nal unmated female was used again and placed with another
male. If this did not result in a copulation after 15 min, the
female was discarded.
A second mating was performed 24 hr later, following the
same protocol. Again, if the male failed to copulate with the
female after 30 min, he was replaced, and if a mating still did
not occur, the female was discarded. The mating failure rate
was extremely low: one ST male failed to mate on day 1 (P1),
one SR male failed to mate on day 2 (P2), and one female was
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2328 Bates et al.
discarded as she failed to mate with any male. Females were
mated either to an SR male followed by an ST male, or an ST
male followed by an SR male. Once females had been double
mated, the containers were lined with a fresh moist cotton
wool base and 1tsp puréed sweetcorn to collect eggs, which
was renewed every 2–3 days for 2 weeks. This kept larval
density low, maximizing survival. Bases were stored in Petri
dishes at 25 °C. In total, 62 females were successfully mated
twice: 30 to an SR male rst and 32 to an ST male rst. For
ease, these matings were carried out in two batches, 1 week
apart.
After mating, experimental males were removed and fro-
zen, and their eyespan and thorax length were measured
under a Leica microscope using ImageJ (v1.46; Schneider
et al., 2012). Eyespan was dened as the distance between
the outer tips of the eyes (Hingle et al., 2001). Thorax length
was dened as the distance ventrally from the anterior tip
of the prothorax along the midline, to the joint between the
metathoracic legs and the thorax (Rogers et al., 2008).
Progeny genotyping
Petri dishes were examined for larvae one week after collec-
tion. Larvae that had developed to be large enough to be seen
by eye were transferred to a 96-well plate. Each Petri dish
was then examined daily to collect the remaining growing
larvae until there was no further evidence of their presence.
Each well of the plate contained 100 µl digestion solution (20
mM EDTA, 120 mM NaCl, 50 mM Tris-HCL, 1% SDS, pH
8.0) and 4 µl proteinase K (10 mg ml−1). A standard proto-
col was adapted to extract and purify DNA from larvae (see
Supplementary Information 1 for details; protocol from Burke
et al., 1998). The X-linked INDEL marker comp162710 was
used to identify offspring of ST and SR fathers, due to its
reported accuracy in determining phenotype (>90%; Meade
et al., 2019). XST carries a large allele (286 bp), whereas XSR
carries a small allele (201 bp).
Nine females produced no offspring. A further two females
produced low numbers of offspring (2, 6), of which none and
one were successfully genotyped, respectively. Overall, in 7
of 31 cases, the mating order was P1 ST—P2 SR, and in 4 of
31 cases, the mating order was P1 SR—P2 ST. There was no
mating order effect on failure to produce genotyped offspring
(Fisher exact test p = .508). These 11 females were removed
from further analysis.
Not all offspring collected over the 2-week period were
genotyped for logistical reasons. On average, 39.8 (range
0–116) offspring were collected, and 21.9 (range 0–59) off-
spring were genotyped per female; a total of 1,161 successful
PCRs. The 96-well plates were genotyped without regard to
the offspring of particular females as they were collected on
particular days. This approach led to a high correlation be-
tween offspring production and genotyping (ρ = 0.872, n =
51, p < .001).
Statistical methods
All tests were carried out in R version 4.1.2 (R Core Team,
2021). To test if mating order or genotype affected the number
of offspring sired by each male, P1:P2 offspring (the number of
offspring sired by P1 relative to the number of offspring sired
by the P2 male) or ST:SR offspring (the number of offspring
sired by the ST relative to the number of offspring sired by the
SR male) were tted as the response variable in generalized
linear models (GLMs) with a binomial error distribution. The
response variables were coded using the R cbind function.
Count data of offspring sired by each male was used in the
binomial analysis rather than one male’s paternity proportion
to account for the variable sample size of offspring assigned
to each male (larger sample sizes provide better estimates), as
used by others (Dobler et al., 2022). It is not possible to treat
mating order and genotype in a single “global” model com-
bining genotype and mating order as each female’s offspring
are derived from only two males who have both a genotype
and mating order. Hence, the binomial analysis (y1, y2) enters
offspring either according to mating order (y1 = P1, y2 = P2)
or genotype (y1 = ST, y2 = SR) in two separate analyses. As
the GLMs were over-dispersed, a quasi-binomial error distri-
bution was used. Tests were repeated excluding females that
had ≤10 offspring genotyped. The number of larvae collect-
ed and the batch in which the matings were performed were
assessed as potential confounding variables. In addition, the
data were split in two, considering offspring number of SR/
ST or in the P1/P2 role, with linear models on genotype. In
order to assess the power of the experiment to detect differ-
ences in mating order or genotype, the same GLM statistic
was calculated with up to a 10-fold increase in sample size
on re-sampled data (with replacement). One thousand repeats
were performed at each sample size, and the resulting GLM
statistics examined for evidence of difference in paternity due
to mating order or genotype (see Supplementary Information
4 for detailed method description and code).
The effect of male thorax length (a proxy for body size) and
relative eyespan (the variation in eyespan after controlling
for thorax length) were also considered in the analysis. Both
traits are strongly condition dependent and indicators of male
genetic and phenotypic quality (Cotton et al., 2015; David et
al., 2000; Howie et al., 2019). Whether these male trait sizes
differed between genotypes was tested by tting thorax length
and relative eyespan as the response variable in linear mod-
els. In addition, whether mating duration differed by mating
order and genotype was tested by tting mating duration as
a response variable in linear models, and by its inclusion as
a xed effect in GLMs with the number of offspring sired
by each male. Full statistical analyses are reported in the
Supplementary Informations 2 and 3.
Results
Male fertility
In total, 62 females were reciprocally mated to males of each
genotype. Fifty-one females had offspring (between 4–59)
that were successfully genotyped (27 P1 SR—P2 ST and 24
P1 ST—P2 SR matings), and of these, 47 females had ≥10
genotyped offspring (23 P1 SR—P2 ST and 24 P1 ST—P2
SR). For two of the reciprocal matings, one mating was 29
s in duration; these matings were included in the subsequent
analysis as, in both cases, the male in question produced off-
spring.
The distribution of proportions sired by the two males
was at, including offspring broods that were exclusive-
ly sired by either the P1 or P2 male (Figure 1A) or by ei-
ther the ST or SR male (Figure 1B), with means around
equality (mean ± SD P2 male = 0.522 ± 0.327, SR male
= 0.575 ± 0.316). Using offspring numbers (rather than
proportions), there was no effect of mating order (F1,49 =
1.307, p = .259; Figure 2A) or genotype (F1,49 = 0.196, p =
.660; Figure 2B) on the number of offspring sired by each
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2329Evolution (2023), Vol. 77, No. 10
male. Nor was there an effect of genotype when the data
were split in halves, either with the SR male in the P1 role
(F1,49 = 0.002, p = .963), or in the P2 role (F1,49 = 0.434,
p = .513). An additional test added the total number of
offspring collected as a covariate as it varied between fe-
males (mean ± SD; 48.196 ± 22.735 offspring; range 6–116
offspring), but its inclusion did not alter the main effects
of mating order or genotype (p > .05; see Supplementary
Information 2, Figure S2). Likewise, the main effects were
unchanged when batch number was included as a covariate
(p > .05; see Supplementary Information 2). The results of
these tests were also unchanged after the exclusion of the
four females that had less than 10 offspring genotyped (see
Supplementary Information 3).
In 11 of the 47 cases with ≥10 offspring genotyped, one
male sired more than 0.95 of the offspring, with no difference
between male mating position (four sired by the P1 male, and
seven sired by the P2 male, F1,9 = 0.986, p = .351) or male
genotype (eight sired by the SR male and three were sired by
the ST male, F1,9 = 0.841, p = .383). When these extreme cases
were excluded, there was still no effect of mating order (F1,32
= 0.094, p = .761) or male genotype (F1,32 = 0.589, p = .448)
on the number of offspring sired.
To assess the power of the data to detect differences, the
data were resampled (with replacement) using a 1–10-fold
increase in sample size compared to the original data (1,000
repeats for each fold increase, Supplementary Information 4).
As expected, the fraction of runs with signicant differences
Figure 1. (A) The distribution of P2, the proportion of offspring sired by the second male, is shown per brood (blue). (B) The distribution of the proportion
of offspring sired by the SR male is shown per brood (red).
Figure 2. (A) Points correspond to the number of P2 offspring against the total number of offspring per brood. The solid blue line represents the
regression of the number of P2 offspring against the total number of offspring (β = 0.539; intercept constrained to zero). The blue dashed line
represents P2 = 1.000 (all P2 offspring), the black dashed line represents P2 = 0.500 (equal P1 and P2 offspring), and the blue dotted line represents
P2 = 0.000 (all P1 offspring). (B) Points correspond to the number of SR offspring against the total number of offspring per brood. The solid red line
represents the regression of the number of SR offspring against the total number of offspring (β = 0.472; intercept constrained to zero). The red
dashed line represents SR = 1.000 (all SR offspring), the black dashed line represents SR = 0.500 (equal SR and ST offspring), and the red dotted line
represents SR = 0.000 (all ST offspring).
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2330 Bates et al.
(at p < .05) increased with sample size. The increase was
marked for mating order with a P2 advantage evident at a
4-fold increase in sample size (95% condence interval [CI]
0.207–4.567 in favor of P2). However, the increase was mi-
nor for genotype, and there was no advantage to either gen-
otype even with a 10-fold increase in sample size (95% CI
−0.789–3.667 in favor of SR).
Male trait size and mating duration
Thorax length was smaller in SR than ST males (mean ± SE,
SR = 2.190 ± 0.023 mm, N = 49, ST = 2.297 ± 0.025 mm, N =
50; F1,97 = 9.783, p = .002). Eyespan is strongly colinear with
thorax (F1,97 = 167.242, p < .001) and was likewise smaller in
SR males (SR = 7.304 ± 0.111 mm, ST = 7.897 ± 0.115 mm;
F1,97 =13.766, p < .001; Supplementary Information 2, Figure
S1). However, the relative eyespan did not differ between gen-
otypes (F1,96 = 3.734, P = 0.056; Supplementary Information
2, Figure S1). As thorax length differed between genotypes,
it was added as a covariate, but there was still no effect of
mating order (F1,44 = 1.161, p = .287) or male genotype (F1,44
= 0.369, p = .547) on the number of offspring sired by each
male.
Mating duration did not differ with mating order (mean ±
SE, P1 = 63.94 ± 3.43 s, P2 = 73.45 ± 3.43 s; F1,100 = 0.943,
p = .334) or genotype (ST = 60.82 ± 2.36 s, SR = 76.57 s
± 9.42 s, F1,100 = 2.627, p = .108). Mating duration did not
affect the number of offspring sired by the P2 male (F1,48 =
0.022, p = .882), but P1 males with a shorter mating duration
sired a greater number of offspring (F1,48 = 4.082, p = .049).
Mating duration did not affect the number of offspring sired
by the SR male (F1,48 = 0.246, p = .622) or the ST male (F1,48 =
3.366, p = .073). Given its inconsistent effect on the number
of offspring sired, the mating durations of the two males were
added as covariates, but there was still no effect of mating
order (F1,47 = 1.208, p = .277) or genotype (F1,47 = 0.071, p =
.791) on the number of offspring sired.
Discussion
Our study provides little support for the idea that males
carrying X-linked meiotic drive are at a disadvantage un-
der sperm competition due to sperm loss and other delete-
rious effects of meiotic drive on sperm function (Courret et
al., 2019; Verspoor et al., 2020). Here, the paternity of SR
males did not differ from ST males overall, nor in the P1 or P2
positions considered separately. This challenges the general
pattern which has been reported across the Diptera (Dyer &
Hall, 2019; Hurst & Pomiankowski, 1991; James & Jaenike,
1990; Jiggins et al., 1999; Newton et al., 1976; Policansky,
1974; Presgraves et al., 1997; Price et al., 2008a). It is also
in opposition to previous evidence of lower drive male pa-
ternity in stalk-eyed y double-mating experiments, which
were discussed in the Introduction (Wilkinson & Fry, 2001;
Wilkinson et al., 2006). Our results are robust to a number
of potential confounding factors: matings were performed be-
tween ies from the same population, offspring paternity was
assessed using highly accurate genetic markers, larvae were
used to assess paternity—which reduces the impact of lower
egg-adult viability in SR females—and double matings were
carried out with SR males in the rst and second mating po-
sition to reliably assess sperm precedence. Furthermore, the
ndings here align with those of Meade et al. (2019, 2020),
who showed that sperm numbers transferred to females and
the resulting fertility do not differ in single matings by SR and
ST males.
Our results do not invalidate previous ndings, which
likely reect genuine experimental differences. The study of
Wilkinson and Fry (2001) was carried out on the closely re-
lated species T. whitei, which also carries X-linked SR meiotic
drive that is thought to have evolved prior to the divergence
of these two species (Meier & Baker, 2002; Presgraves et al.,
1997). Genetic markers for drive have not been identied in
T. whitei (G. S. Wilkinson, personal communication), imply-
ing a small inversion is associated with drive in this species,
unlike the multiple inversions that cover most of the T. dal-
manni SR X chromosome (Christianson et al., 2011; Paczolt
et al., 2017; Reinhardt et al., 2014, 2023; Wilkinson et al.,
2006). This means that few X-linked genes are in linkage dis-
equilibrium with those that control drive, potentially limit-
ing the possibility of compensatory testes enlargement and
explaining why T. whitei drive males have reduced fertility
under sperm competition. The second study of Wilkinson et
al. (2006) used a similar double mating design in T. dalmanni
(although only with SR males in the P2 role). As in this study,
it reported no difference between SR and ST success in mixed
paternity broods. However, in single-parent broods (where
only one male fathered offspring), there were 11 from the ST
male and only three from the SR male (rate 14/40 = 35%).
In this study, we found the pattern was reversed with three
from the ST male and eight from the SR male (rate 11/51 =
22%). There were experimental design differences that might
be important. In particular, Wilkinson et al. (2006) took ex-
perimental males from mixed sex cages with no control over
prior mating, whereas we kept males without females for
several days to allow their accessory glands to return to full
size (Rogers et al., 2005). This could explain the higher rate
of single-parent broods in Wilkinson et al. (2006). However,
combining across these two studies, we conclude that there
can be little condence that there is a large decit in SR male
single-parent broods. This is consistent with previous work,
which showed no difference in the failure rate of sperm trans-
fer to the spermatheca of females mated once either to ST or
SR males (Meade et al., 2019).
In line with earlier work on sperm competition in stalk-
eyed ies, there was no effect of mating order on paternity,
suggesting that the sperm of the rst and second male simply
mix and there is no sperm precedence in T. dalmanni (Bellamy,
2012; Corley et al., 2006; Wilkinson & Fry, 2001). Corley et
al. (2006) found evidence of a trimodal P2 distribution, cen-
tered around equal paternity as well as a strong bias to either
the rst or second male (double matings with ST males). This
contrasts with the at distribution shown here (Figure 1). The
difference could be due to the multiple mating design used by
Corley et al. (2006), in which each female was mated three
times with the rst and second males. A trimodal pattern was
also reported in a double mating design in the distantly relat-
ed South African stalk-eyed y species Diasemopsis meigenii,
where extreme paternity bias was explained by the failure
of sperm transfer after a single copulation (Bellamy, 2012).
Whatever the explanation, none of these studies support the
idea of a competitive advantage associated with mating posi-
tion in stalk-eyed ies.
The lack of difference found in this study may be limited by
sample size (n = 51), like all statistical comparisons. We ad-
dressed this by re-sampling the data with up to a 10-fold in-
ation in sample size. This increased the likelihood of nding
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2331Evolution (2023), Vol. 77, No. 10
a mating order difference (favoring P2 at a 4-fold increase in
sample size) to a much greater extent than a genotypic differ-
ence (no difference even at a 10-fold increase in sample size).
Given that these comparisons rely on the same distribution of
the data, they allow us to conclude that if there is a difference
in the paternity gain due to genotype, it is of a lower order
than that relating to mating order, and there is no evidence
to support the hypothesis of a competitive disadvantage as-
sociated with drive (if anything, the data favors a SR advan-
tage). Our approach is not wholly satisfactory as re-sampling
maintains the distribution of offspring genotyped per female,
which was variable (95% condence range 19–26), although
to some extent this is accounted for by the binomial tests.
A re-sampling of this distribution would inevitably require
further assumptions and end-up being contrived. We adopted
an approach that maintains the distribution of offspring gen-
otyped per female to frame our conclusions within the limita-
tions of the data collected.
In this study of T. dalmanni, sperm competition was as-
sessed under low-stress conditions. Virgin females were mat-
ed to two males separated by a 24-hr period. Experimental
males were not virgins but had been kept for several days
in single-sex groups. The objective was to assess SR and ST
males under standardized conditions as a rst step to under-
standing how SR males perform under sperm competition.
This is a highly specic experiment, designed to test whether
a male gains an advantage after a single competitive mating,
either because there is rst/last male precedence or variation
due to genotype. In the wild, competitive conditions are more
complex. Males form leks with multiple females at dusk
and then mate in a short period at dawn before dispersal,
with occasional matings interspersed during daylight hours
(Chapman et al., 2005; Cotton et al., 2010, 2015; Wilkinson
et al., 1998b). Females mate repeatedly in a life span that can
extend over several months (Reguera et al., 2004; Wilkinson
et al., 1998b). Multiple matings are required to maxise fer-
tility as males transfer low numbers of sperm per ejaculate
(Meade et al., 2019; Rogers et al., 2006; Wilkinson et al.,
2005; Baker, 2001), and sperm usage leads to a quick drop
in female fertility over time (Meade et al., 2017; Wilkinson et
al., 1998a). Future experiments need to assess the success of
single SR and ST male matings in females with a background
of multiple mating, closer to the conditions found in nature.
There may be differences when female sperm storage organs
are saturated compared to the situation with double mating
when females are below maximal fertility (Baker, 2001). In
addition, it will be important to assess the effect of the mating
rate, which is lower in SR males (Meade et al., 2020; Rogers
et al., 2008; Wilkinson et al., 2003). SR males may be less
able to compete in populations at high density where there
are multiple opportunities to mate, even though sperm trans-
fer does not differ between genotypes in sequential matings
over a short period of time (Meade et al., 2019). These fur-
ther studies will provide a more comprehensive assessment of
sperm competition as a factor contributing to the fertility of
drive males and its consequences for the frequency of SR in
wild populations.
In summary, we demonstrate that meiotic drive is not al-
ways associated with male fertility reduction under condi-
tions of sperm competition, even though drive destroys half
of carrier-male sperm. The lack of a fertility cost potentially
contributes to the relatively high frequency of meiotic drive
in T. dalmanni, which is around 20% in wild populations
(Cotton et al., 2014; Paczolt et al., 2017; Wilkinson et al.,
2003). This pattern is unlike other species where drive males
do poorly under sperm competition and the spread of drive is
reliant on a high frequency of monandrous matings (Courret
et al., 2019; Dyer and Hall, 2019; Price et al., 2008b). The
absence of a fertility cost is likely an evolved response to the
loss of sperm caused by meiotic drive, which is supported by
the nding in T. dalmanni that drive male testes are larger
at eclosion, have higher growth rates and are considerably
enlarged at maturity (Bradshaw et al., 2022; Meade et al.,
2020). We provide strong evidence against the consensus that
drive males are outperformed by non-drive males under sperm
competition—which suggests that other species should be in-
vestigated for evidence of mitigation of drive fertility costs.
Supplementary material
Supplementary material is available online at Evolution.
Data availability
The data that support the ndings of this study are openly
available in the Dryad at https://doi.org/10.5061/dryad.mkk-
wh713g.
Author contributions
S.B., L.M., and A.P. conceived the study. S.B. and L.M. car-
ried out experiments and S.B. collected the data. S.B., L.M.,
and A.P. analyzed the data. S.B. and A.P. wrote the paper. All
authors read, reviewed, and agreed on the submitted version.
Conict of interest: The authors declare no conict of interest.
Acknowledgments
We thank Rebecca Finley, Wendy Hart, and Matteo Mondani
for maintaining the y stocks and help with genotyping,
and Kevin Fowler for advice on experimental design. S.B.
is supported by a Studentship from the BBSRC LIDo DTP
(BB/M009513/1), A.P. is supported by funding from the
Engineering and Physical Sciences Research Council (EP/
F500351/1, EP/I017909/1), Natural Environment Research
Council (NE/R010579/1, NE/X009734/1) and Biotechnology
and Biological Sciences Research Council (BB/V003542/1).
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The following pages contain Supplementary Information from: “Meiotic drive does not
impede success in sperm competition in the stalk-eyed fly, Teleopsis dalmanni”.
Supplementary Figures have been renumbered in this document to fit the main thesis
text.
Authors: Sadé Bates1, Lara Meade1 and Andrew Pomiankowski1,2
1 Department of Genetics, Evolution and Environment, University College London, Gower
Street, London, WC1E 6BT, UK
2 CoMPLEX, University College London, Gower Street, London, WC1E 6BT, UK
Address correspondence to: A. Pomiankowski. E-mail: ucbhpom@ucl.ac.uk
ORCID
Sade Bates, 0000-0002-9736-1077
Lara Meade, 0000-0002-5724-7413
Andrew Pomiankowski, 0000-0002-5171-8755
Supplementary Information 1:
• supplementary methods
Supplementary Information 2:
• all statistical models and effect sizes for all broods
• supplementary Figures S2.2.1 and S2.2.2
Supplementary Information 3:
• all statistical models and effect sizes for broods with ≥ 10 genotyped offspring
Supplementary Information 4:
• resampling
Supplementary Information 1: supplementary methods
The following protocol was used to extract and purify larval DNA (adapted from standard
protocol in Burke et al., 1998):
Larvae within each well were crushed using a micro-pestle prior to incubation for 16hrs at
55ºC, to extract DNA. The following day, 35µL 4M ammonium acetate was added to each
sample to precipitate out proteins, and the plates chilled on ice for 5mins. The plates were
then spun at 4450rpm, 4ºC for 60min. Next, the DNA was precipitated out by transferring
80µL of the supernatant from each sample to a new plate containing 80µL isopropanol per
well. Centrifugation at 4450rpm, 4ºC for 60min pelleted out the DNA. The supernatant was
discarded, and the DNA pellets were washed by adding 100µL 70% ethanol and spinning at
4450rpm for 30min. The ethanol was then removed, and the plates left to air dry for 1hr
before adding 30µL T10 E0.1 buffer to each sample and incubating at 37ºC for 30mins to re-
dissolve the DNA. Samples were stored at -20ºC prior to PCR analysis.
References
Burke, T. A. et al. (1998) ‘Multilocus and single-locus DNA fingerprinting’. IRL Press.
The following PCR conditions were used for progeny genotyping:
A 2720 Thermal Cycler (Applied Biosystems, Woolston, UK) was used to perform the
reactions, which were carried out in 11µL volumes per sample, containing: 0.6µL forward
and 0.6µL reverse primers (see Supp. Table 1 for sequences), both at 10µM, 0.12µL
Phusion® High-Fidelity DNA Polymerase (New England Biolabs, Herts), 2.4µL Phusion® HF
buffer (New England Biolabs, Herts), 6.4µL ddH20 and either 1µL 10x diluted DNA, 5x
diluted or pure DNA (depending on DNA concentration). The PCR programme was a 10min
initial denaturation stage at 98ºC, followed by 45 cycles of 10sec denaturation at 98ºC, 30sec
annealing time at 63ºC and 20sec extension at 72ºC. The reaction was completed by a 7min
final extension step at 72ºC. The PCR products were analysed via gel electrophoresis on a 3%
agarose/TBE gel run at 100V for ~1hr to separate them according to size and the results were
visualised using a gel imaging system.
Supplementary Table 1: comp16710 primer sequences
STRAND
Sequence
Forward
CGTGTCCGCATTTATACCAC
Reverse
GGTAGGCTTGTTCTAACGGC
Supplementary Information 2: all model tables and effect sizes for
all broods
Contents
1 Data 3
2 Male fertility 3
2.1 Variation in number of offspring sired with mating position . . . . . . . . . . . . . . . . . . . 3
2.2 Variation in number of offspring sired with male genotype . . . . . . . . . . . . . . . . . . . . 3
2.3 Variation in number of offspring sired with male genotype in the P1 role or P2 role . . . . . . 4
2.4 Number of larvae collected and batch number . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
2.4.1 Variation in P2 number of offspring sired with larvae collected . . . . . . . . . . . . . 5
2.4.2 Variation in SR number of offspring sired with larvae collected . . . . . . . . . . . . . 5
2.4.3 Variation in P2 number of offspring sired with larvae collected and mating order . . . 6
2.4.4 Variation in SR number of offspring sired with larvae collected and genotype . . . . . 6
2.4.5 Variation in P2 number of offspring sired with mating order and batch number . . . . 7
2.4.6 Variation in SR number of offspring sired with genotype and batch number . . . . . . 7
2.5 Male fertility and single parent broods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
2.5.1 Variation in number of offspring sired with mating position with only single parent
broods............................................. 8
2.5.2 Variation in number of offspring sired with male genotype with only single parent broods 8
2.5.3 Variation in number of offspring sired with mating position when single parent broods
areexcluded ......................................... 9
2.5.4 Variation in male number of offspring sired with male genotype when single parent
broodsareexcluded ..................................... 10
3 Male trait size and mating duration 10
3.1 Variationinmaletraits ....................................... 10
3.2 Male fertility with thorax length . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
3.3 Male fertility with mating duration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
3.3.1 Variation in mating duration with mating position . . . . . . . . . . . . . . . . . . . . 13
3.3.2 Variation in mating duration with male genotype . . . . . . . . . . . . . . . . . . . . . 14
3.3.3 The effect of mating duration on the number of offspring sired per mating position . . 14
3.3.4 The effect of mating duration on the number of offspring sired per male genotype . . . 15
1
1 Data
This analysis includes all broods with more than 2 offspring genotyped, N = 51. 2 matings were 29secs in
duration, however these copulations were still deemed successful they resulted in offspring.
1 ST male failed to mate in the P1 position and was replaced, and 1 SR male failed to mate in the in P2
position and was replaced. 1 female failed to mate with any male and was discarded.
2 Male fertility
2.1 Variation in number of offspring sired with mating position
glm(formula = cbind(SR_offspring, ST_offspring) ~ as.factor(mating_position),
family = quasibinomial, data = by_brood2)
Table 1: Analysis of variance table
Df Deviance Resid. Df Resid. Dev F Pr(>F)
NULL 50 554.310
as.factor(mating_position) 1 12.022 49 542.288 1.307 0.259
Table 2: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.125 0.250 -0.501 0.619
as.factor(mating_position)P2 0.409 0.358 1.140 0.260
The mean proportion of offspring sired by the P2 male was 0.522 ±0.327 (mean P2 ±sd) and there was no
effect of mating position on the number of offspring sired per male.
2.2 Variation in number of offspring sired with male genotype
glm(formula = cbind(P2_offspring, P1_offspring) ~ as.factor(male_genotype),
family = quasibinomial, data = by_brood2)
Table 3: Analysis of variance table
Df Deviance Resid. Df Resid. Dev F Pr(>F)
NULL 50 544.092
as.factor(male_genotype) 1 1.805 49 542.288 0.196 0.66
3
Table 4: Model coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.284 0.257 1.103 0.275
as.factor(male_genotype)ST -0.159 0.358 -0.443 0.660
The mean proportion of offspring sired by the SR male was 0.577 ±0.319 (SR ±sd) and there was no effect
of male genotype on the number of offspring sired per male.
2.3 Variation in number of offspring sired with male genotype in the P1 role
or P2 role
lm(formula = P1_offspring ~ as.factor(male_genotype), data = P1_males_only)
Table 5: Analysis of variance table
Df Sum Sq Mean Sq F value Pr(>F)
as.factor(male_genotype) 1 0.214 0.214 0.002 0.963
Residuals 49 4916.963 100.346
Table 6: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 10.296 1.928 5.341 0.000
as.factor(male_genotype)ST -0.130 2.810 -0.046 0.963
lm(formula = P2_offspring ~ as.factor(male_genotype), data = P2_males_only)
Table 7: Analysis of variance table
Df Sum Sq Mean Sq F value Pr(>F)
as.factor(male_genotype) 1 42.706 42.706 0.434 0.513
Residuals 49 4826.000 98.490
Table 8: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 13.500 2.026 6.664 0.000
as.factor(male_genotype)ST -1.833 2.784 -0.658 0.513
Examining the data from P1 males only, there was no effect of genotype on number of offspring sired by the
P1 male (F1,49 = 0.002, P= 0.963). The same was true when examining data from P2 males only (F1,49 =
0.434, P= 0.513).
4
2.4 Number of larvae collected and batch number
The number of larvae collected is a measure of female fecundity, as it is the total number of offspring that
were collected including the random sample of offspring from each female weren’t genotyped (for logistic
reasons). The mean number of larvae collected per female was 48.196 ±22.735 (mean ±sd), with a range
of 6 - 116 offspring.
2.4.1 Variation in P2 number of offspring sired with larvae collected
glm(formula = cbind(P2_offspring, P1_offspring) ~ larvae_collected,
family = quasibinomial, data = by_brood2)
Table 9: Analysis of variance table
Df Deviance Resid. Df Resid. Dev F Pr(>F)
NULL 50 544.092
larvae_collected 1 0.342 49 543.750 0.037 0.848
Table 10: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.287 0.475 0.605 0.548
larvae_collected -0.001 0.008 -0.193 0.848
2.4.2 Variation in SR number of offspring sired with larvae collected
glm(formula = cbind(SR_offspring, ST_offspring) ~ larvae_collected,
family = quasibinomial, data = by_brood2)
Table 11: Analysis of variance table
Df Deviance Resid. Df Resid. Dev F Pr(>F)
NULL 50 554.310
larvae_collected 1 44.381 49 509.928 5.09 0.029
Table 12: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 1.060 0.481 2.201 0.032
larvae_collected -0.017 0.008 -2.193 0.033
The number of Larvae collected was not associated with the numbers of P2 or SR offspring.
5
2.4.3 Variation in P2 number of offspring sired with larvae collected and mating order
glm(formula = cbind(SR_offspring, ST_offspring) ~ larvae_collected +
mating_position, family = quasibinomial, data = by_brood2)
Table 13: Analysis of variance table (Type II tests)
Sum Sq Df F value Pr(>F)
larvae_collected 58.453 1 6.745 0.012
mating_position 26.093 1 3.011 0.089
Residuals 415.988 48
Table 14: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.939 0.488 1.925 0.060
larvae_collected -0.020 0.008 -2.514 0.015
mating_positionP2 0.634 0.369 1.716 0.093
2.4.4 Variation in SR number of offspring sired with larvae collected and genotype
glm(formula = cbind(P2_offspring, P1_offspring) ~ larvae_collected +
male_genotype, family = quasibinomial, data = by_brood2)
Table 15: Analysis of variance table (Type II tests)
Sum Sq Df F value Pr(>F)
larvae_collected 0.805 1 0.086 0.771
male_genotype 2.268 1 0.242 0.625
Residuals 450.489 48
Table 16: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.429 0.561 0.765 0.448
larvae_collected -0.002 0.008 -0.293 0.771
male_genotypeST -0.182 0.371 -0.491 0.626
When the number of larvae collected was added as a covariate, there was no affect on the trends previously
observed: neither mating order nor male genotype had an affect on the number of offspring sired by each
male (P> 0.05).
6
2.4.5 Variation in P2 number of offspring sired with mating order and batch number
glm(formula = cbind(SR_offspring, ST_offspring) ~ batch + mating_position,
family = quasibinomial, data = by_brood2)
Table 17: Analysis of variance table (Type II tests)
Sum Sq Df F value Pr(>F)
batch 26.229 1 2.881 0.096
mating_position 12.733 1 1.399 0.243
Residuals 437.002 48
Table 18: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) -1.134 0.652 -1.740 0.088
batch 0.623 0.369 1.687 0.098
mating_positionP2 0.425 0.361 1.179 0.244
2.4.6 Variation in SR number of offspring sired with genotype and batch number
glm(formula = cbind(P2_offspring, P1_offspring) ~ batch + male_genotype,
family = quasibinomial, data = by_brood2)
Table 19: Analysis of variance table (Type II tests)
Sum Sq Df F value Pr(>F)
batch 14.562 1 1.581 0.215
male_genotype 1.954 1 0.212 0.647
Residuals 442.084 48
Table 20: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.453 0.640 -0.708 0.482
batch 0.462 0.368 1.255 0.216
male_genotypeST -0.166 0.361 -0.460 0.647
The effects of mating order and genotype remained insignificant (P> 0.05) when Batch number (mating
trials were carried out in two batches, for ease) was added as a covariate.
7
2.5 Male fertility and single parent broods
Table 21: Single parent broods
mating position proportion P2 offspring male genotype proportion SR offspring
P1 0.028 ST 0.972
P1 0.000 ST 1.000
P1 0.956 ST 0.044
P1 0.000 ST 1.000
P2 1.000 SR 1.000
P1 0.000 ST 1.000
P2 0.955 SR 0.955
P2 0.958 SR 0.958
P1 0.000 ST 1.000
P1 0.967 ST 0.033
P1 0.000 ST 1.000
P2 0.960 SR 0.960
P2 0.969 SR 0.969
P2 0.034 SR 0.034
P2 1.000 SR 1.000
2.5.1 Variation in number of offspring sired with mating position with only single parent
broods
glm(formula = cbind(SR_offspring, ST_offspring) ~ as.factor(mating_position),
family = quasibinomial, data = subset(by_brood2, proportion_SR <=
0.05 | proportion_SR >= 0.95))
Table 22: Analysis of variance table
Df Deviance Resid. Df Resid. Dev F Pr(>F)
NULL 14 325.901
as.factor(mating_position) 1 24.816 13 301.085 1.188 0.296
Table 23: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.152 0.729 0.209 0.838
as.factor(mating_position)P2 1.226 1.162 1.056 0.310
When only extreme P2 offspring proportions of ≤0.05 and ≥0.95 are considered, the proportion of offspring
sired by the P2 male was not different from 0.5 (proportion P2 = 0.522 ±0.497), and mating order had no
effect on the number of offspring sired.
2.5.2 Variation in number of offspring sired with male genotype with only single parent
broods
glm(formula = cbind(P2_offspring, P1_offspring) ~ as.factor(male_genotype),
8
family = quasibinomial, data = subset(by_brood2, proportion_P2 <=
0.05 | proportion_P2 >= 0.95))
Table 24: Analysis of variance table
Df Deviance Resid. Df Resid. Dev F Pr(>F)
NULL 14 340.750
as.factor(male_genotype) 1 39.665 13 301.085 1.898 0.192
Table 25: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 1.378 0.904 1.525 0.151
as.factor(male_genotype)ST -1.531 1.162 -1.318 0.210
When only extreme SR offspring proportions of ≤0.05 and ≥0.95 are considered, the proportion of offspring
sired by the SR male did not differ from 0.5 (proportion SR ±sd = 0.795 ±0.393), and male genotype had
no effect on number of offspring sired.
2.5.3 Variation in number of offspring sired with mating position when single parent broods
are excluded
glm(formula = cbind(SR_offspring, ST_offspring) ~ as.factor(mating_position),
family = quasibinomial, data = subset(by_brood2, proportion_SR >
0.05 & proportion_SR < 0.95))
Table 26: Analysis of variance table
Df Deviance Resid. Df Resid. Dev F Pr(>F)
NULL 35 188.308
as.factor(mating_position) 1 1.224 34 187.084 0.243 0.625
Table 27: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.226 0.216 -1.045 0.303
as.factor(mating_position)P2 0.153 0.310 0.493 0.625
When extreme P2 offspring proportions of ≤0.05 and ≥0.95 are excluded, the proportion of offspring sired
by the P2 male was not different from 0.5 (proportion P2 ±sd = 0.522 ±0.233) and mating order had no
effect on number of offspring sired.
9
2.5.4 Variation in male number of offspring sired with male genotype when single parent
broods are excluded
glm(formula = cbind(P2_offspring, P1_offspring) ~ as.factor(male_genotype),
family = quasibinomial, data = subset(by_brood2, proportion_P2 >=
0.05 & proportion_P2 <= 0.95))
Table 28: Analysis of variance table
Df Deviance Resid. Df Resid. Dev F Pr(>F)
NULL 35 191.796
as.factor(male_genotype) 1 4.711 34 187.084 0.936 0.34
Table 29: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.073 0.222 -0.331 0.743
as.factor(male_genotype)ST 0.300 0.310 0.966 0.341
When extreme SR offspring proportions of ≤0.05 and ≥0.95 are excluded, the proportion of offspring sired
by the SR male was not different from 0.5 (proportion SR ±sd = 0.486 ±0.234) and male genotype had no
effect on number of offspring sired.
3 Male trait size and mating duration
3.1 Variation in male traits
Table 30: Mean thorax length per male genotype
male_genotype N thorax sd se ci
SR 49 2.190 0.163 0.023 0.047
ST 50 2.297 0.178 0.025 0.051
Table 31: Mean eyespan per male genotype
male_genotype N eyespan sd se ci
SR 49 7.304 0.776 0.111 0.223
ST 50 7.897 0.815 0.115 0.232
Table 32: Mean residual eyespan per male genotype
male_genotype N residual_eyespan sd se ci
SR 49 -0.112 0.478 0.068 0.137
ST 50 0.092 0.531 0.075 0.151
10
lm(formula = eyespan ~ thorax, data = by_male_id2)
Table 33: Analysis of variance table
Df Sum Sq Mean Sq F value Pr(>F)
thorax 1 44.406 44.406 167.242 0
Residuals 97 25.756 0.266
Table 34: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.875 0.658 -1.330 0.187
thorax 3.778 0.292 12.932 0.000
lm(formula = thorax ~ male_genotype, data = by_male_id2)
Table 35: Analysis of variance table
Df Sum Sq Mean Sq F value Pr(>F)
male_genotype 1 0.285 0.285 9.783 0.002
Residuals 97 2.826 0.029
Table 36: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 2.190 0.024 89.812 0.000
male_genotypeST 0.107 0.034 3.128 0.002
lm(formula = eyespan ~ male_genotype, data = by_male_id2)
Table 37: Analysis of variance table
Df Sum Sq Mean Sq F value Pr(>F)
male_genotype 1 8.720 8.720 13.766 0
Residuals 97 61.442 0.633
Table 38: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 7.304 0.114 64.239 0
male_genotypeST 0.594 0.160 3.710 0
lm(formula = eyespan ~ thorax + male_genotype, data = by_male_id2)
11
Table 39: Analysis of variance table (Type II tests)
Sum Sq Df F value Pr(>F)
thorax 36.651 1 141.924 0.000
male_genotype 0.964 1 3.734 0.056
Residuals 24.791 96
Table 40: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.583 0.666 -0.875 0.384
thorax 3.601 0.302 11.913 0.000
male_genotypeST 0.207 0.107 1.932 0.056
Thorax length varies between male genotypes. Eyespan has strong covariance with thorax. Relative eyespan
— the variation in eyespan not predicted by thorax length — is not significantly different between genotypes.
Therefore, relative eyespan is not added to binomial GLMs for paternity.
3.2 Male fertility with thorax length
glm(formula = cbind(ST_offspring, SR_offspring) ~ thorax.P1 +
thorax.P2 + mating_position, family = quasibinomial, data = by_brood2)
Table 41: Analysis of variance table (Type II tests)
Sum Sq Df F value Pr(>F)
thorax.P1 9.464 1 0.977 0.328
thorax.P2 0.515 1 0.053 0.819
mating_position 11.241 1 1.161 0.287
Residuals 426.130 44
Table 42: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 3.139 3.542 0.886 0.380
thorax.P1 -1.058 1.076 -0.984 0.330
thorax.P2 -0.291 1.265 -0.230 0.819
mating_positionP2 -0.452 0.421 -1.074 0.289
glm(formula = cbind(P1_offspring, P2_offspring) ~ thorax.ST +
thorax.SR + male_genotype, family = quasibinomial, data = by_brood2)
12
Table 43: Analysis of variance table (Type II tests)
Sum Sq Df F value Pr(>F)
thorax.ST 0.023 1 0.002 0.961
thorax.SR 7.167 1 0.731 0.397
male_genotype 3.619 1 0.369 0.547
Residuals 431.689 44
Table 44: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) -2.510 3.512 -0.715 0.479
thorax.ST -0.055 1.127 -0.049 0.961
thorax.SR 1.026 1.204 0.852 0.399
male_genotypeST 0.236 0.388 0.607 0.547
Though thorax length is different between SR and ST males, it does not affect number of offspring sired by
each male, nor does it affect number of offspring sired by P2 and SR males.
3.3 Male fertility with mating duration
Mating duration is the observed time taken for a single copulation in seconds.
3.3.1 Variation in mating duration with mating position
lm(formula = mating_duration_sec ~ mating_position, data = by_male_id2)
Table 45: Analysis of variance table
Df Sum Sq Mean Sq F value Pr(>F)
mating_position 1 2306.127 2306.127 0.943 0.334
Residuals 100 244633.451 2446.335
Table 46: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 63.941 6.926 9.232 0.000
mating_positionP2 9.510 9.795 0.971 0.334
Mating duration did not differ between P1 and P2 males (mean P1 mating duration ±se: 63.94sec ±3.43sec,
mean P2 mating duration ±se: 73.45sec ±3.43sec; F1,100 = 0.943, P= 0.334).
13
3.3.2 Variation in mating duration with male genotype
lm(formula = mating_duration_sec ~ male_genotype, data = by_male_id2)
Table 47: Analysis of variance table
Df Sum Sq Mean Sq F value Pr(>F)
male_genotype 1 6321.657 6321.657 2.627 0.108
Residuals 100 240617.922 2406.179
Table 48: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 76.569 6.869 11.147 0.000
male_genotypeST -15.745 9.714 -1.621 0.108
Mating duration did not differ between ST and SR males (mean ST mating duration ±se: 60.82sec ±
2.36sec, mean SR mating duration ±se: 76.57sec ±9.42sec; F1,100 = 2.627, P= 0.108).
3.3.3 The effect of mating duration on the number of offspring sired per mating position
glm(formula = cbind(P2_offspring, P1_offspring) ~ mating_duration_sec.P1 +
mating_duration_sec.P2, family = quasibinomial, data = by_brood2)
Table 49: Analysis of variance table (Type II tests)
Sum Sq Df F value Pr(>F)
mating_duration_sec.P1 35.880 1 4.082 0.049
mating_duration_sec.P2 0.196 1 0.022 0.882
Residuals 421.956 48
Table 50: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 1.094 0.577 1.895 0.064
mating_duration_sec.P1 -0.015 0.008 -1.913 0.062
mating_duration_sec.P2 0.000 0.003 0.149 0.882
Mating duration did not affect the number of offspring sired by the P2 males (F1,48 = 0.022, P= 0.882),
but P1 males with shorter mating durations sired more offspring (F1,48 = 4.082, P= 0.049).
14
3.3.4 The effect of mating duration on the number of offspring sired per male genotype
glm(formula = cbind(ST_offspring, SR_offspring) ~ mating_duration_sec.ST +
mating_duration_sec.SR, family = quasibinomial, data = by_brood2)
Table 51: Analysis of variance table
Sum Sq Df F value Pr(>F)
mating_duration_sec.ST 30.422 1 3.366 0.073
mating_duration_sec.SR 2.226 1 0.246 0.622
Residuals 433.796 48
Table 52: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) -1.380 0.896 -1.541 0.130
mating_duration_sec.ST 0.024 0.014 1.734 0.089
mating_duration_sec.SR -0.001 0.003 -0.488 0.628
Mating duration did not affect the number of offspring sired by the SR males (F1,48 = 0.246, P= 0.622).
However, it did affect the number of offspring sired by the ST males (F1,48 = 3.366, P= 0.073).
3.3.5 The effect of mating position with mating duration on the number of offspring sired
glm(formula = cbind(ST_offspring, SR_offspring) ~ mating_duration_sec.ST +
mating_duration_sec.SR + mating_position, family = quasibinomial,
data = by_brood2)
Table 53: Analysis of variance table (Type II tests)
Sum Sq Df F value Pr(>F)
mating_duration_sec.ST 32.549 1 3.565 0.065
mating_duration_sec.SR 0.535 1 0.059 0.810
mating_position 11.025 1 1.208 0.277
Residuals 429.068 47
Table 54: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) -1.269 0.892 -1.423 0.161
mating_duration_sec.ST 0.024 0.013 1.797 0.079
mating_duration_sec.SR -0.001 0.003 -0.240 0.811
mating_positionP2 -0.407 0.372 -1.096 0.279
Mating position still did not affect number of offspring sired by each male when mating duration was included
as a covariate (F1,47 = 1.208, P= 0.277).
15
3.3.6 The effect of male genotype with mating duration on the number of offspring sired
glm(formula = cbind(P1_offspring, P2_offspring) ~ mating_duration_sec.P1 +
mating_duration_sec.P2 + male_genotype, family = quasibinomial,
data = by_brood2)
Table 55: Analysis of variance table (Type II tests)
Sum Sq Df F value Pr(>F)
mating_duration_sec.P1 35.442 1 3.950 0.053
mating_duration_sec.P2 0.052 1 0.006 0.940
male_genotype 0.636 1 0.071 0.791
Residuals 421.668 47
Table 56: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) -1.156 0.630 -1.835 0.073
mating_duration_sec.P1 0.015 0.008 1.882 0.066
mating_duration_sec.P2 0.000 0.003 -0.076 0.940
male_genotypeST 0.099 0.372 0.266 0.791
Male genotype type still does not affect the number of offspring sired by each male when mating during is
included as a covariate (F1,47 = 0.071, P= 0.791).
16
4 Supplementary figures
Figure S1: Variation in thorax length and eyespan with male genotype
17
Figure S2: Variation in relative eyespan with genotype
18
Supplementary Information 3: all model tables and effect sizes for
broods with 10 or more offspring genotyped
Contents
1 Data 3
2 Male fertility 3
2.1 Variation in number of offspring sired with mating position . . . . . . . . . . . . . . . . . . . 3
2.2 Variation in number of offspring sired with male genotype . . . . . . . . . . . . . . . . . . . . 3
2.3 Variation in number of offspring sired with male genotype in the P1 role or P2 role . . . . . . 4
2.4 Number of larvae collected and batch number . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
2.4.1 Variation in P2 number of offspring sired with larvae collected . . . . . . . . . . . . . 5
2.4.2 Variation in SR number of offspring sired with larvae collected . . . . . . . . . . . . . 5
2.4.3 Variation in P2 number of offspring sired with larvae collected and mating order . . . 6
2.4.4 Variation in SR number of offspring sired with larvae collected and genotype . . . . . 6
2.4.5 Variation in P2 number of offspring sired with mating order and batch number . . . . 7
2.4.6 Variation in SR number of offspring sired with genotype and batch number . . . . . . 7
2.5 Male fertility and single parent broods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
2.5.1 Variation in number of offspring sired with mating position with only single parent
broods............................................. 8
2.5.2 Variation in number of offspring sired with male genotype with only single parent broods 8
2.5.3 Variation in number of offspring sired with mating position when single parent broods
areexcluded ......................................... 9
2.5.4 Variation in male number of offspring sired with male genotype when single parent
broodsareexcluded ..................................... 9
3 Male trait size and mating duration 10
3.1 Variationinmaletraits ....................................... 10
3.2 Male fertility with thorax length . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
3.3 Male fertility with mating duration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
3.3.1 Variation in mating duration with mating position . . . . . . . . . . . . . . . . . . . . 13
3.3.2 Variation in mating duration with male genotype . . . . . . . . . . . . . . . . . . . . . 14
3.3.3 The effect of mating duration on the number of offspring sired per mating position . . 14
3.3.4 The effect of mating duration on the number of offspring sired per male genotype . . . 15
1
1 Data
This analysis includes all broods with ≥10 offspring genotyped, N = 47. 2 matings were 29secs in duration,
however the copulations were still deemed successful as they resulted in offspring.
1 ST male failed to mate in the P1 position and was replaced, and 1 SR male failed to mate in the in P2
position and was replaced. 1 female failed to mate with any male and was discarded.
2 Male fertility
2.1 Variation in number of offspring sired with mating position
glm(formula = cbind(SR_offspring, ST_offspring) ~ as.factor(mating_position),
family = quasibinomial, data = by_brood2)
Table 1: Analysis of variance table
Df Deviance Resid. Df Resid. Dev F Pr(>F)
NULL 46 533.470
as.factor(mating_position) 1 15.801 45 517.669 1.643 0.207
Table 2: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.189 0.26 -0.726 0.472
as.factor(mating_position)P2 0.472 0.37 1.277 0.208
The mean proportion of offspring sired by the P2 male was 0.561 ±0.309 (mean P2 ±sd) and there was no
effect of mating position on the number of offspring sired per male.
2.2 Variation in number of offspring sired with male genotype
glm(formula = cbind(P2_offspring, P1_offspring) ~ as.factor(male_genotype),
family = quasibinomial, data = by_brood2)
Table 3: Analysis of variance table
Df Deviance Resid. Df Resid. Dev F Pr(>F)
NULL 46 518.302
as.factor(male_genotype) 1 0.633 45 517.669 0.066 0.799
3
Table 4: Model coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.284 0.263 1.079 0.286
as.factor(male_genotype)ST -0.095 0.370 -0.257 0.799
The mean proportion of offspring sired by the SR male was 0.546 ±0.312 (SR ±sd) and there was no effect
of male genotype on the number of offspring sired per male.
2.3 Variation in number of offspring sired with male genotype in the P1 role
or P2 role
lm(formula = P1_offspring ~ as.factor(male_genotype), data = P1_males_only)
Table 5: Analysis of variance table
Df Sum Sq Mean Sq F value Pr(>F)
as.factor(male_genotype) 1 15.201 15.201 0.144 0.706
Residuals 45 4754.203 105.649
Table 6: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 11.304 2.143 5.274 0.000
as.factor(male_genotype)ST -1.138 2.999 -0.379 0.706
lm(formula = P2_offspring ~ as.factor(male_genotype), data = P2_males_only)
Table 7: Analysis of variance table
Df Sum Sq Mean Sq F value Pr(>F)
as.factor(male_genotype) 1 0.272 0.272 0.003 0.957
Residuals 45 4213.217 93.627
Table 8: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 13.500 1.975 6.835 0.000
as.factor(male_genotype)ST 0.152 2.823 0.054 0.957
Examining the data from P1 males only, there was no effect of genotype on number of offspring sired by the
P1 male (F1,45 = 0.144, P= 0.706). The same was true when examining data from P2 males only (F1,45 =
0.003, P= 0.957).
4
2.4 Number of larvae collected and batch number
The number of larvae collected is a measure of female fecundity, as it is the total number of offspring that
were collected including the random sample of offspring from each female weren’t genotyped (for logistic
reasons). The mean number of larvae collected per female was 50.957 ±21.159 (mean ±sd), with a range
of 15 - 116 offspring.
2.4.1 Variation in P2 number of offspring sired with larvae collected
glm(formula = cbind(P2_offspring, P1_offspring) ~ larvae_collected,
family = quasibinomial, data = by_brood2)
Table 9: Analysis of variance table
Df Deviance Resid. Df Resid. Dev F Pr(>F)
NULL 46 518.302
larvae_collected 1 2.723 45 515.579 0.284 0.597
Table 10: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.486 0.505 0.962 0.341
larvae_collected -0.004 0.008 -0.533 0.597
2.4.2 Variation in SR number of offspring sired with larvae collected
glm(formula = cbind(SR_offspring, ST_offspring) ~ larvae_collected,
family = quasibinomial, data = by_brood2)
Table 11: Analysis of variance table
Df Deviance Resid. Df Resid. Dev F Pr(>F)
NULL 46 533.470
larvae_collected 1 35.504 45 497.966 3.826 0.057
Table 12: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.960 0.511 1.881 0.066
larvae_collected -0.016 0.008 -1.912 0.062
The number of Larvae collected was not associated with the numbers of P2 or SR offspring.
5
2.4.3 Variation in P2 number of offspring sired with larvae collected and mating order
glm(formula = cbind(SR_offspring, ST_offspring) ~ larvae_collected +
mating_position, family = quasibinomial, data = by_brood2)
Table 13: Analysis of variance table (Type II tests)
Sum Sq Df F value Pr(>F)
larvae_collected 47.848 1 5.202 0.027
mating_position 28.145 1 3.060 0.087
Residuals 404.700 44
Table 14: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.817 0.519 1.576 0.122
larvae_collected -0.019 0.008 -2.219 0.032
mating_positionP2 0.658 0.380 1.730 0.091
2.4.4 Variation in SR number of offspring sired with larvae collected and genotype
glm(formula = cbind(P2_offspring, P1_offspring) ~ larvae_collected +
male_genotype, family = quasibinomial, data = by_brood2)
Table 15: Analysis of variance table (Type II tests)
Sum Sq Df F value Pr(>F)
larvae_collected 3.393 1 0.346 0.559
male_genotype 1.302 1 0.133 0.717
Residuals 431.023 44
Table 16: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.591 0.588 1.005 0.320
larvae_collected -0.005 0.008 -0.588 0.560
male_genotypeST -0.139 0.381 -0.364 0.717
When the number of larvae collected was added as a covariate, there was no affect on the trends previously
observed: neither mating order nor male genotype had an affect on the number of offspring sired by each
male (P> 0.05).
6
2.4.5 Variation in P2 number of offspring sired with mating order and batch number
glm(formula = cbind(SR_offspring, ST_offspring) ~ batch + mating_position,
family = quasibinomial, data = by_brood2)
Table 17: Analysis of variance table (Type II tests)
Sum Sq Df F value Pr(>F)
batch 25.582 1 2.681 0.109
mating_position 16.480 1 1.727 0.196
Residuals 419.803 44
Table 18: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) -1.194 0.675 -1.769 0.084
batch 0.621 0.382 1.627 0.111
mating_positionP2 0.488 0.373 1.309 0.197
2.4.6 Variation in SR number of offspring sired with genotype and batch number
glm(formula = cbind(P2_offspring, P1_offspring) ~ batch + male_genotype,
family = quasibinomial, data = by_brood2)
Table 19: Analysis of variance table (Type II tests)
Sum Sq Df F value Pr(>F)
batch 15.656 1 1.628 0.209
male_genotype 0.693 1 0.072 0.790
Residuals 423.024 44
Table 20: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.486 0.658 -0.739 0.464
batch 0.483 0.379 1.273 0.210
male_genotypeST -0.100 0.372 -0.268 0.790
The effects of mating order and genotype remained insignificant (P> 0.05) when Batch number (mating
trials were carried out in two batches, for ease) was added as a covariate.
7
2.5 Male fertility and single parent broods
Table 21: Single parent broods
mating position proportion P2 offspring male genotype proportion SR offspring
P1 0.028 ST 0.972
P1 0.000 ST 1.000
P1 0.956 ST 0.044
P2 1.000 SR 1.000
P2 0.955 SR 0.955
P2 0.958 SR 0.958
P1 0.967 ST 0.033
P1 0.000 ST 1.000
P2 0.960 SR 0.960
P2 0.969 SR 0.969
P2 0.034 SR 0.034
P2 1.000 SR 1.000
2.5.1 Variation in number of offspring sired with mating position with only single parent
broods
glm(formula = cbind(SR_offspring, ST_offspring) ~ as.factor(mating_position),
family = quasibinomial, data = subset(by_brood2, proportion_SR <=
0.05 | proportion_SR >= 0.95))
Table 22: Analysis of variance table
Df Deviance Resid. Df Resid. Dev F Pr(>F)
NULL 11 313.466
as.factor(mating_position) 1 32.326 10 281.140 1.259 0.288
Table 23: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.042 0.848 -0.050 0.961
as.factor(mating_position)P2 1.420 1.312 1.082 0.305
When only extreme P2 offspring proportions of ≤0.05 and ≥0.95 are considered, the proportion of offspring
sired by the P2 male was not different from 0.5 (proportion P2 = 0.652 ±0.471), and mating order had no
effect on the number of offspring sired.
2.5.2 Variation in number of offspring sired with male genotype with only single parent
broods
glm(formula = cbind(P2_offspring, P1_offspring) ~ as.factor(male_genotype),
family = quasibinomial, data = subset(by_brood2, proportion_P2 <=
0.05 | proportion_P2 >= 0.95))
8
Table 24: Analysis of variance table
Df Deviance Resid. Df Resid. Dev F Pr(>F)
NULL 11 309.558
as.factor(male_genotype) 1 28.418 10 281.140 1.107 0.317
Table 25: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 1.378 1.002 1.376 0.199
as.factor(male_genotype)ST -1.336 1.312 -1.018 0.333
When only extreme SR offspring proportions of ≤0.05 and ≥0.95 are considered, the proportion of offspring
sired by the SR male did not differ from 0.5 (proportion SR ±sd = 0.744 ±0.426), and male genotype had
no effect on number of offspring sired.
2.5.3 Variation in number of offspring sired with mating position when single parent broods
are excluded
glm(formula = cbind(SR_offspring, ST_offspring) ~ as.factor(mating_position),
family = quasibinomial, data = subset(by_brood2, proportion_SR >
0.05 & proportion_SR < 0.95))
Table 26: Analysis of variance table
Df Deviance Resid. Df Resid. Dev F Pr(>F)
NULL 34 186.928
as.factor(mating_position) 1 1.408 33 185.520 0.274 0.604
Table 27: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.238 0.220 -1.081 0.288
as.factor(mating_position)P2 0.164 0.314 0.523 0.604
When extreme P2 offspring proportions of ≤0.05 and ≥0.95 are excluded, the proportion of offspring sired
by the P2 male was not different from 0.5 (proportion P2 ±sd = 0.53 ±0.232) and mating order had no
effect on number of offspring sired.
2.5.4 Variation in male number of offspring sired with male genotype when single parent
broods are excluded
glm(formula = cbind(P2_offspring, P1_offspring) ~ as.factor(male_genotype),
family = quasibinomial, data = subset(by_brood2, proportion_P2 >=
0.05 & proportion_P2 <= 0.95))
9
Table 28: Analysis of variance table
Df Deviance Resid. Df Resid. Dev F Pr(>F)
NULL 34 190.576
as.factor(male_genotype) 1 5.056 33 185.520 0.984 0.329
Table 29: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.073 0.224 -0.327 0.746
as.factor(male_genotype)ST 0.311 0.314 0.990 0.329
When extreme SR offspring proportions of ≤0.05 and ≥0.95 are excluded, the proportion of offspring sired
by the SR male was not different from 0.5 (proportion SR ±sd = 0.478 ±0.233) and male genotype had no
effect on number of offspring sired.
3 Male trait size and mating duration
3.1 Variation in male traits
Table 30: Mean thorax length per male genotype
male_genotype N thorax sd se ci
SR 46 2.194 0.167 0.025 0.050
ST 46 2.284 0.177 0.026 0.053
Table 31: Mean eyespan per male genotype
male_genotype N eyespan sd se ci
SR 46 7.329 0.788 0.116 0.234
ST 46 7.844 0.828 0.122 0.246
Table 32: Mean residual eyespan per male genotype
male_genotype N residual_eyespan sd se ci
SR 46 -0.103 0.485 0.072 0.144
ST 46 0.085 0.542 0.080 0.161
lm(formula = eyespan ~ thorax, data = by_male_id2)
10
Table 33: Analysis of variance table
Df Sum Sq Mean Sq F value Pr(>F)
thorax 1 40.285 40.285 147.627 0
Residuals 90 24.559 0.273
Table 34: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.815 0.694 -1.175 0.243
thorax 3.752 0.309 12.150 0.000
lm(formula = thorax ~ male_genotype, data = by_male_id2)
Table 35: Analysis of variance table
Df Sum Sq Mean Sq F value Pr(>F)
male_genotype 1 0.187 0.187 6.275 0.014
Residuals 90 2.676 0.030
Table 36: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 2.194 0.025 86.316 0.000
male_genotypeST 0.090 0.036 2.505 0.014
lm(formula = eyespan ~ male_genotype, data = by_male_id2)
Table 37: Analysis of variance table
Df Sum Sq Mean Sq F value Pr(>F)
male_genotype 1 6.081 6.081 9.314 0.003
Residuals 90 58.763 0.653
Table 38: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 7.329 0.119 61.520 0.000
male_genotypeST 0.514 0.168 3.052 0.003
lm(formula = eyespan ~ thorax + male_genotype, data = by_male_id2)
11
Table 39: Analysis of variance table (Type II tests)
Sum Sq Df F value Pr(>F)
thorax 34.969 1 130.795 0.000
male_genotype 0.765 1 2.861 0.094
Residuals 23.795 89
Table 40: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.604 0.698 -0.865 0.389
thorax 3.615 0.316 11.437 0.000
male_genotypeST 0.189 0.112 1.691 0.094
Thorax length varies between male genotypes. Eyespan has strong covariance with thorax. Relative eyespan
— the variation in eyespan not predicted by thorax length — is not significantly different between genotypes.
Therefore, relative eyespan is not added to binomial GLMs for paternity.
3.2 Male fertility with thorax length
glm(formula = cbind(ST_offspring, SR_offspring) ~ thorax.P1 +
thorax.P2 + mating_position, family = quasibinomial, data = by_brood2)
Table 41: Analysis of variance table (Type II tests)
Sum Sq Df F value Pr(>F)
thorax.P1 10.918 1 1.084 0.304
thorax.P2 0.007 1 0.001 0.979
mating_position 12.006 1 1.193 0.281
Residuals 412.771 41
Table 42: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 2.781 3.625 0.767 0.447
thorax.P1 -1.142 1.103 -1.036 0.306
thorax.P2 -0.034 1.311 -0.026 0.979
mating_positionP2 -0.468 0.429 -1.089 0.282
glm(formula = cbind(P1_offspring, P2_offspring) ~ thorax.ST +
thorax.SR + male_genotype, family = quasibinomial, data = by_brood2)
12
Table 43: Analysis of variance table (Type II tests)
Sum Sq Df F value Pr(>F)
thorax.ST 0.532 1 0.052 0.820
thorax.SR 8.547 1 0.840 0.365
male_genotype 2.133 1 0.210 0.649
Residuals 417.152 41
Table 44: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) -2.241 3.585 -0.625 0.535
thorax.ST -0.266 1.165 -0.229 0.820
thorax.SR 1.125 1.233 0.913 0.367
male_genotypeST 0.182 0.399 0.458 0.650
Though thorax length is different between SR and ST males, it does not affect number of offspring sired by
each male, nor does it affect number of offspring sired by P2 and SR males.
3.3 Male fertility with mating duration
Mating duration is the observed time taken for a single copulation in seconds.
3.3.1 Variation in mating duration with mating position
lm(formula = mating_duration_sec ~ mating_position, data = by_male_id2)
Table 45: Analysis of variance table
Df Sum Sq Mean Sq F value Pr(>F)
mating_position 1 3529.532 3529.532 1.361 0.246
Residuals 92 238504.085 2592.436
Table 46: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 62.936 7.427 8.474 0.000
mating_positionP2 12.255 10.503 1.167 0.246
Mating duration did not differ between P1 and P2 males (mean P1 mating duration ±se: 62.94sec ±3.46sec,
mean P2 mating duration ±se: 75.19sec ±3.46sec; F1,92 = 1.361, P= 0.246).
13
3.3.2 Variation in mating duration with male genotype
lm(formula = mating_duration_sec ~ male_genotype, data = by_male_id2)
Table 47: Analysis of variance table
Df Sum Sq Mean Sq F value Pr(>F)
male_genotype 1 5393.021 5393.021 2.097 0.151
Residuals 92 236640.596 2572.180
Table 48: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 76.638 7.398 10.360 0.000
male_genotypeST -15.149 10.462 -1.448 0.151
Mating duration did not differ between ST and SR males (mean ST mating duration ±se: 61.49sec ±
2.51sec, mean SR mating duration ±se: 76.64sec ±10.16sec; F1,92 = 2.097, P= 0.151).
3.3.3 The effect of mating duration on the number of offspring sired per mating position
glm(formula = cbind(P2_offspring, P1_offspring) ~ mating_duration_sec.P1 +
mating_duration_sec.P2, family = quasibinomial, data = by_brood2)
Table 49: Analysis of variance table (Type II tests)
Sum Sq Df F value Pr(>F)
mating_duration_sec.P1 33.151 1 3.600 0.064
mating_duration_sec.P2 0.075 1 0.008 0.928
Residuals 405.137 44
Table 50: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) 1.111 0.595 1.868 0.068
mating_duration_sec.P1 -0.014 0.008 -1.803 0.078
mating_duration_sec.P2 0.000 0.003 0.090 0.929
Mating duration did not affect the number of offspring sired by the P1 (F1,44 = 3.6, P= 0.064) or P2 males
(F1,44 = 0.008, P= 0.928).
14
3.3.4 The effect of mating duration on the number of offspring sired per male genotype
glm(formula = cbind(ST_offspring, SR_offspring) ~ mating_duration_sec.ST +
mating_duration_sec.SR, family = quasibinomial, data = by_brood2)
Table 51: Analysis of variance table
Sum Sq Df F value Pr(>F)
mating_duration_sec.ST 27.681 1 2.897 0.096
mating_duration_sec.SR 2.373 1 0.248 0.621
Residuals 420.368 44
Table 52: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) -1.289 0.922 -1.397 0.169
mating_duration_sec.ST 0.023 0.014 1.613 0.114
mating_duration_sec.SR -0.001 0.003 -0.490 0.626
Mating duration did not affect the number of offspring sired by the SR males (F1,44 = 0.248, P= 0.621).
However, it did affect the number of offspring sired by the ST males (F1,44 = 2.897, P= 0.096).
3.3.5 The effect of mating position with mating duration on the number of offspring sired
glm(formula = cbind(ST_offspring, SR_offspring) ~ mating_duration_sec.ST +
mating_duration_sec.SR + mating_position, family = quasibinomial,
data = by_brood2)
Table 53: Analysis of variance table (Type II tests)
Sum Sq Df F value Pr(>F)
mating_duration_sec.ST 29.783 1 3.095 0.086
mating_duration_sec.SR 0.451 1 0.047 0.830
mating_position 14.324 1 1.488 0.229
Residuals 413.839 43
Table 54: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) -1.152 0.916 -1.258 0.215
mating_duration_sec.ST 0.023 0.014 1.681 0.100
mating_duration_sec.SR -0.001 0.003 -0.215 0.831
mating_positionP2 -0.467 0.385 -1.215 0.231
Mating position still did not affect number of offspring sired by each male when mating duration was included
as a covariate (F1,43 = 1.488, P= 0.229).
15
3.3.6 The effect of male genotype with mating duration on the number of offspring sired
glm(formula = cbind(P1_offspring, P2_offspring) ~ mating_duration_sec.P1 +
mating_duration_sec.P2 + male_genotype, family = quasibinomial,
data = by_brood2)
Table 55: Analysis of variance table (Type II tests)
Sum Sq Df F value Pr(>F)
mating_duration_sec.P1 32.985 1 3.501 0.068
mating_duration_sec.P2 0.033 1 0.004 0.953
male_genotype 0.113 1 0.012 0.913
Residuals 405.125 43
Table 56: Model Coefficients
Estimate Std. Error t value Pr(>|t|)
(Intercept) -1.137 0.648 -1.754 0.087
mating_duration_sec.P1 0.014 0.008 1.778 0.082
mating_duration_sec.P2 0.000 0.003 -0.059 0.953
male_genotypeST 0.042 0.384 0.110 0.913
Male genotype type still does not affect the number of offspring sired by each male when mating during is
included as a covariate (F1,43 = 0.012, P= 0.913).
16
Supplementary Information 4: resampling
Contents
1 Building the resampling method 2
1.1 Settingaseed............................................. 2
1.2 Write a function to fit a GLM and extract the whole model coefficient table . . . . . . . . . . 2
1.3 Example loop x10 repetitions: resample to increase the orginal matrix 2 fold and compute the
modelcoefficents ........................................... 2
2 Implementing the resampling method for the whole dataset 5
2.1 Resampling the effect of mating order on paternity . . . . . . . . . . . . . . . . . . . . . . . . 5
2.1.1 1 fold sample size increase, x1000 model repeats . . . . . . . . . . . . . . . . . . . . . 5
2.1.2 2 fold sample size increase, x1000 model repeats . . . . . . . . . . . . . . . . . . . . . 6
2.1.3 3 fold sample size increase, x1000 model repeats . . . . . . . . . . . . . . . . . . . . . 7
2.1.4 4 fold sample size increase, x1000 model repeats . . . . . . . . . . . . . . . . . . . . . 8
2.1.5 Summary table of the 95% confidence intervals for the t statistic associated with each
resamplingofmatingposition................................ 8
2.2 Resampling the effect of male genotype on paternity . . . . . . . . . . . . . . . . . . . . . . . 9
2.2.1 1 fold sample size increase, x1000 model repeats . . . . . . . . . . . . . . . . . . . . . 9
2.2.2 2 fold sample size increase, x1000 model repeats . . . . . . . . . . . . . . . . . . . . . 10
2.2.3 10 fold sample size increase, x1000 model repeats . . . . . . . . . . . . . . . . . . . . . 11
2.2.4 Summary table of the 95% confidence intervals for the t statistic associated with each
resamplingofmalegenotype ................................ 11
1
1 Building the resampling method
1.1 Setting a seed
Here, a seed was set using the set.seed() function. It is used for all subsequent random number generation
functions, including sample(), runif(), rnorm(), etc., unless it is explicitly reset with a different value or by
calling set.seed(NULL).
set.seed(1234)
1.2 Write a function to fit a GLM and extract the whole model coefficient table
In this case we fit the following binomial GLM of the same form that we fitted to our data:
(Y1, Y2)˜X
We extract the t and p values associated with the explanatory variable, X, which corresponds to either
mating position or male genotype.
Mating position: The response variable is the numbers of SR and ST offspring, explained by mating position.
Male genotype: The response variable is the numbers of P2 and P1 offspring, explained by male genotype.
# Define the function to compute and extract the model
# coefficients where X is the explanatory variable,
# male_genotypeST or mating_positionP1
compute_coefficients <- function(matrix) {
# Fit GLM with quasibinomial family
model <- glm(cbind(y1, y2) ~as.factor(X), family = quasibinomial,
data = matrix)
# Extract the coefficients from the model coefficients
# table
coeffs <- summary(model)$coefficients
# Extract the row index from the model coefficents
# table
row_index <- grep("X",rownames(coeffs))
# Extract the coefficient values and store them in a
# dataframe
df <- data.frame(variable = row.names(coeffs)[row_index],
estimate = coeffs[row_index, "Estimate"], std.error = coeffs[row_index,
"Std. Error"], t.value = coeffs[row_index, "t value"],
p.value = coeffs[row_index, "Pr(>|t|)"], row.names = NULL)
return(df)
}
1.3 Example loop x10 repetitions: resample to increase the orginal matrix 2
fold and compute the model coefficents
2
# Define the number of repetitions
n_repetitions <- 10
# Define the fold change to increase the sample size by -
# this time we double the sample size
fold <- 2
# Extract 10 rows data from the original dataset
original_matrix <- by_brood[1:10,c("SR_offspring","ST_offspring",
"mating_position")]
# reset the row numbers for extraction during random
# sampling
row.names(original_matrix) <- NULL
# reset the column names for model fitting
names(original_matrix) <- c("y1","y2","X")
# Get the number of rows in the original matrix
n_original <- nrow(original_matrix)
# Create an empty dataframe to store the coefficient values
master_df <- data.frame(variable = character(), coefficient = numeric(),
std.error = numeric(), t.value = numeric(), p.value = numeric(),
stringsAsFactors = FALSE)
# Run the loop 10 times
for (i in 1:n_repetitions) {
# randomly sample 2x 10 from the original 10 rows to
# generate new dataset where n = 2x
resampled_matrix <- original_matrix[sample(n_original, n_original *
2,replace = TRUE), , drop = FALSE]
# Call the function and get the coefficients for each
# iteration
coefficients_df <- compute_coefficients(resampled_matrix)
# Append the coefficients to the master dataframe
master_df <- rbind(master_df, coefficients_df)
}
# show the model coefficients table
kable(master_df, caption = "male genotype model coefficients for
repeats 1:10 of resampling with 2fold sample size increase")
Table 1: male genotype model coefficients for repeats 1:10 of re-
sampling with 2fold sample size increase
variable estimate std.error t.value p.value
as.factor(X)P2 -2.4760600 0.5339495 -4.6372552 0.0002048
as.factor(X)P2 -2.1153677 0.6856259 -3.0853090 0.0063810
as.factor(X)P2 -0.9765096 0.5065651 -1.9277082 0.0698217
as.factor(X)P2 -2.8602662 0.9950266 -2.8745625 0.0100840
as.factor(X)P2 -1.3142481 0.7778277 -1.6896390 0.1083424
as.factor(X)P2 -0.3630761 0.5629462 -0.6449569 0.5270907
as.factor(X)P2 -0.8490216 0.4175205 -2.0334848 0.0570170
3
variable estimate std.error t.value p.value
as.factor(X)P2 -0.9892438 0.8265421 -1.1968461 0.2468926
as.factor(X)P2 -1.9793221 0.6842462 -2.8927045 0.0096969
as.factor(X)P2 -0.1110940 0.5953275 -0.1866100 0.8540535
4
2 Implementing the resampling method for the whole dataset
2.1 Resampling the effect of mating order on paternity
2.1.1 1 fold sample size increase, x1000 model repeats
0
10
20
−2 0 2 4
t value
Percentage
0
5
10
15
20
25
0.00 0.25 0.50 0.75 1.00
P value
Percentage
Figure S1: Percentage distribution of t statitics and associated p values from a 1 fold resampling of the effect
of mating position on paternity. 95% confidence interval of the t statistic: -0.982-3.353 . For mating order
positive values indicate that P2>P1.
5
2.1.2 2 fold sample size increase, x1000 model repeats
0
5
10
15
20
−2 0 2 4
t value
Percentage
0
10
20
30
0.00 0.25 0.50 0.75 1.00
P value
Percentage
Figure S2: Percentage distribution of t statitics and associated p values from a 2 fold resampling of the effect
of mating position on paternity. 95% confidence interval of the t statistic: -0.598-3.707 . For mating order
positive values indicate that P2>P1.
6
2.1.3 3 fold sample size increase, x1000 model repeats
0
5
10
15
20
−2 0 2 4
t value
Percentage
0
10
20
30
40
50
0.00 0.25 0.50 0.75 1.00
P value
Percentage
Figure S3: Percentage distribution of t statitics and associated p values from a 3 fold resampling of the effect
of mating position on paternity. 95% confidence interval of the t statistic: -0.187-4.091 . For mating order
positive values indicate that P2>P1.
7
2.1.4 4 fold sample size increase, x1000 model repeats
0
10
20
−2 0 2 4 6
t value
Percentage
0
20
40
60
0.00 0.25 0.50 0.75 1.00
P value
Percentage
Figure S4: Percentage distribution of t statitics and associated p values from a 4 fold resampling of the effect
of mating position on paternity. 95% confidence interval of the t statistic: 0.216-4.549 . For mating order
positive values indicate that P2>P1.
2.1.5 Summary table of the 95% confidence intervals for the t statistic associated with each
resampling of mating position
Table 2: Confidence intervals assocatiated with t statistic from
resampling the effect of mating position on offspring ratio, where
‘fold’ is the increase in sample size. Note that the confindence
interval no longer spans 0 at a 4 fold increase in sample size.
2.5% 97.5%
1 fold -0.982 3.353
2 fold -0.598 3.707
3 fold -0.187 4.091
4 fold 0.216 4.549
10 fold 1.484 5.996
8
2.2 Resampling the effect of male genotype on paternity
2.2.1 1 fold sample size increase, x1000 model repeats
0
10
20
−6 −4 −2 0 2 4
t value
Percentage
0
5
10
0.00 0.25 0.50 0.75 1.00
P value
Percentage
Figure S5: Percentage distribution of t statitics and associated p values from a 1 fold resampling of the
effect of male genotype on paternity. 95% confidence interval of the t statistic: -2.717-1.595 . For genotype
negative values indicate that SR>ST.
9
2.2.2 2 fold sample size increase, x1000 model repeats
0
10
20
−2.5 0.0 2.5
t value
Percentage
0
5
10
0.00 0.25 0.50 0.75 1.00
P value
Percentage
Figure S6: Percentage distribution of t statitics and associated p values from a 2 fold resampling of the
effect of male genotype on paternity. 95% confidence interval of the t statistic: -2.966-1.311 . For genotype
negative values indicate that SR>ST.
10
2.2.3 10 fold sample size increase, x1000 model repeats
0
5
10
15
20
25
−5.0 −2.5 0.0 2.5
t value
Percentage
0
10
20
30
0.00 0.25 0.50 0.75 1.00
P value
Percentage
Figure S7: Percentage distribution of t statitics and associated p values from a 10 fold resampling of the
effect of male genotype on paternity. 95% confidence interval of the t statistic: -3.663-0.735 . For genotype
negative values indicate that SR>ST.
2.2.4 Summary table of the 95% confidence intervals for the t statistic associated with each
resampling of male genotype
Table 3: Confidence intervals assocatiated with t statistic from
resampling the effect of male genotype on offspring ratio, where
‘fold’ is the increase in sample size. Note that even at 10 fold the
confidence interval spans zero.
2.5% 97.5%
1 fold -2.717 1.595
2 fold -2.966 1.311
10 fold -3.663 0.735
11