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Scaling up endocrine disruption effects from individuals to populations: outcomes depend on how many males a population needs J. Wilson White, Bryan J. Cole, Gary N. Cherr, Richard Edward Connon, and Susanne M Brander Environ. Sci. Technol., Just Accepted Manuscript • DOI: 10.1021/acs.est.6b05276 • Publication Date (Web): 09 Jan 2017 Downloaded from http://pubs.acs.org on January 9, 2017
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Scaling up endocrine disruption effects from individuals to populations: outcomes depend
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on how many males a population needs
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J. Wilson White,*,† Bryan J. Cole, ‡,¶ Gary N. Cherr,¶ Richard E. Connon,‡ and Susanne M.
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Brander†
5 6
†
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Wilmington, North Carolina 28403 USA
8
‡
9
California Davis, Davis, California 95616 USA
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Department of Biology and Marine Biology, University of North Carolina Wilmington,
Department of Anatomy and Cell Biology, School of Veterinary Medicine, University of
¶
Bodega Marine Laboratory, University of California Davis, Bodega Bay, California 94923 USA
11 12
Corresponding Author
13
*
[email protected] 14
phone: +1-910-962-3058
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fax: +1-910-962-4066
16 17
Authors contributions
18
SMB and JWW designed the study, SMB and BJC collected the data, JWW conducted model
19
analysis, SMB and JWW wrote the paper with input from GNC and REC. JWW and SMB
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contributed equally to this publication.
21 22
Notes
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The authors declare no competing financial interests.
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Abstract
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Assessing how endocrine disrupting compounds (EDCs) affect population dynamics requires
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tracking males and females (and sex-reversed individuals) separately. A key component in any
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sex-specific model is the ‘mating function’ (the relationship between sex ratio and reproductive
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success) but this relationship is not known for any fish species. Using a model, we found that
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EDC effects on fish populations strongly depend upon the shape of the mating function.
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Additionally, masculinization is generally more detrimental to populations than feminization. We
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then quantified the mating function for the inland silverside (Menidia beryllina), and used those
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results and the model to assess the status of wild silverside populations. Contrary to the
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expectation that a few males can spawn with many females, silversides exhibited a nearly linear
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mating function. This implies that small changes in the sex ratio will reduce reproductive success.
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Four out of five wild silverside populations exhibited sex ratios far from 50:50 and thus are
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predicted to be experiencing population declines. Our results suggest that managers should place
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more emphasis on mitigating masculinizing rather than feminizing EDC effects. However, for
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species with a nearly linear mating function, such as Menidia, feminization and masculinization
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are equally detrimental.
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Introduction Endocrine disrupting compounds (EDCs) can mimic, inhibit, or synergize the effects of
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endogenous hormones, resulting in physiological and behavioral abnormalities and altered sex
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ratio in fishes and other vertebrates. Specifically, EDC exposure has led to masculinization,
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feminization, intersex, and sex reversal in a wide range of species.1-4 The importance of assessing
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how these impacts affect fecundity and hence population persistence has been emphasized in
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empirical studies2,3,5,6 and theoretical models.5,7-10
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Modeling EDC impacts presents a unique challenge, as representing population-level
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effects requires separately tracking males and females11-17 as well as sex-reversed
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individuals.15,18,19 As such, a key component in any sex-specific model is the ‘mating
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function’,14,20 defined as the relationship between the sex ratio and reproductive success.
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Typically one assumes each male to be able to fertilize multiple females, because sperm are
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inexpensive to produce relative to eggs. This would lead to a mating function in which the sex
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ratio (proportion male) must be quite low for reproductive success to be affected (such as the
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steep, saturating mating function assumed by Gurney;8,21 Fig. 1), so that feminization of males
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would have little effect on the population. However, the mating system may prevent extreme
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promiscuity by males, so that marginal decreases in the sex ratio due to feminization negatively
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affect population-scale reproductive output. Therefore, reliable prediction of population-level
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EDC effects requires advances in both modeling of two-sex systems and in the empirical
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description of the mating function. Past theoretical studies using two-sex models have assumed
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various plausible forms for the mating function, but have lacked empirical support for those
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functions.5,8,22,23
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To address these needs, we developed a model of the dynamics of a fish population
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exposed to different types of EDCs (Fig. 2). We first used that model to examine the effects of
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three different forms of mating function (representing different potential types of male
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limitation) and the general effects of different individual-scale EDC impacts on population
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dynamics. These include masculinization and/or feminization of a population (i.e., a skewed sex
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ratio24,25), as well as reduced reproductive performance.7,16
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We then used the model to estimate population-level consequences of EDCs in a model estuarine
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fish species, the inland silverside (Menidia beryllina), which are known to be sensitive to EDCs
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and to exhibit skewed sex ratios in response to EDC exposure.7,11,13,15-17 To parameterize the
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model we characterized the inland silverside mating function in laboratory spawning
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experiments. Because EDCs can also affect reproductive output directly (not just via skewed sex
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ratios) we also utilized empirical data from experiments assessing egg protein production and
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spawning in silversides exposed to the estrogenic pesticide bifenthrin to characterize the likely
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net effects of EDCs on population dynamics.16,26 Bifenthrin is widely used in urban and
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agriculture areas across the United States,27,28 highly persistent in sediments,29,30 and has been
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studied extensively as an endocrine disrupting compound that acts at aqueous concentrations
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equivalent to those detected in the environment in M. beryllina.13,16,29,31
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We then compared model predictions to field estimates of the sex ratio in five wild inland
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silverside populations in California, USA, to assess population status. Our approach allows the
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projection of individual-level EDC effects to population-level consequences, and is unique in
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that it is the first to use an empirically-derived estimate of the mating function.
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Materials and Methods
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Basic model dynamics
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We used an age-structured population model to describe a generic fish population with age-
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dependent size, maturity, and fecundity. Adult mortality is density-independent, but the model
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has a Beverton-Holt stock-recruit curve26,32 representing within-cohort density-dependent
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competition among new recruits. All model equations and parameter definitions are given in the
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Supporting Information (SI). To represent EDC effects, we tracked males (NM) and females (NF)
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separately, and specified the proportion of each sex that are sex-reversed (pM, pF) due to EDCs,
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resulting in phenotypic males that have female genotypes or vice versa. Following Cotton and
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Wedekind,18,33 we described all different possible genotypic mating combinations (e.g.,
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genotypic females that are phenotypic males mating with genotypic females, etc.). The per capita
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fecundity is determined by the mating function defined in the next section. It is possible that sex-
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reversed males or females would have reduced egg output or mating success;26 the proportional
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decline in fecundity is given by the parameters qM and qF for males and females, respectively.
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In this type of model, one can determine whether a population will persist based on lifetime
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egg production (LEP) at equilibrium and the initial slope of the Beverton-Holt stock-recruit
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curve, α.34 LEP is the total number of eggs an age-0 recruit will produce over its lifetime, on
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average, and α gives the probability that an egg will survive to become an age-0 recruit (at very
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low population density). For the population to persist, LEP must be large enough so that α × LEP
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> 1; that is, at low densities, each fish will, on average, replace itself with at least one new recruit
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over its lifetime. It is convenient to rescale the slope α by the maximum LEP of a pristine (i.e.,
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no EDC exposure, and thus no sex reversal or fecundity reduction) population, α’ = α / LEPmax.
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Now 1/α’ conveniently specifies the proportion of the maximum LEP required for persistence,29
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and models with the same α’ but different demographic parameters will exhibit nearly the same
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responses to proportional reductions in LEP.35 The population will persist if LEP/LEPmax > 1/α’,
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which is the same criterion given above. The quantity α’ is referred to as the maximum lifetime
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growth rate,29 and 1/α’ is termed the critical replacement threshold.34,35
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This approach to modeling population persistence is useful when comparing the
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responses of different fishery species to harvest, and we extend it to EDC impacts. If α’ is known
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(or a conservative α’ value is assumed) then species with different life history parameters and
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different levels of exploitation or stressor exposure (e.g., to EDCs) can be compared in terms of
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the value of LEP relative to 1/α’. Essentially this provides a common currency for comparing the
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effects of some factor on the population persistence of species with very different life histories.
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For example, it is generally the case that fast-growing, high-fecundity fish populations can
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sustain higher harvests than slow-growing, low-fecundity fish populations. To compare how
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some management practice (such as a no-take marine reserve) will affect both populations, one
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can implicitly account for those life-history differences by expressing the effects of harvest in
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terms of proportional effect on LEP, allowing a direct comparison of reserve effects that
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essentially controls for those life history differences.36 In our analysis, we define a particular
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value of α’, and then compare the effects of EDCs on populations with different life history
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parameters or mating functions. In this way, equivalent proportional reductions to LEP (relative
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to the LEPmax for that particular life history) due to EDCs will have comparable effects on
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population persistence. This has the advantage of producing results that are not sensitive to
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particular choices of life history parameters but describe the relative effects of an impact on
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persistence.
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It is not possible to write out a simple expression for LEP in a model that includes sexreversal, so in all simulations we calculated the appropriate scaled Beverton-Holt slope
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parameter α’ based on the LEP of a population with no sex reversal and a sex ratio of X = 0.5 .
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We then used the same value of α’ for simulations with different values of pM and pF.
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Mating function The mating function specifies the probability of fertilization of a female’s eggs given the
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population phenotypic sex ratio, X (proportion male). We used the beta cumulative density
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function (cdf), G, to describe the mating function:
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, , =
; ,
; ,
where B is the beta function, with shape parameters b1 and b2 (both positive and nonzero):
; , = 1 −
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The beta cdf has a maximum value of 1 at X = 1. However, we assume that the mating function
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reaches 100% fertilization at a sex ratio of 0.5 (1 male for every female); to represent that we
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multiply the sex ratio by 2 in the cumulative density function, G(2X, b1, b2) so that the function
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reaches the maximum value at X = 0.5. This functional form (Fig. 1) allows spawning success as
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a function of sex ratio to be A) saturating, such that few males are necessary to fertilize most
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eggs (b1 = 1, b2 > 1; as in a highly polygynous, broadcast-spawning fish such as the bluehead
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wrasse, Thalassoma bifasciatum1), B) linear, such that a sex ratio of 0.5 is necessary for full
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fertilization (b1 = 1, b2 = 1; as in a species that forms breeding pairs with little extrapair
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copulation, or when highly male- or female-biased sex ratios limit reproduction, e.g., zebrafish,
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Danio rerio5), or C) sigmoidal, such that fertilization requires some minimum sex ratio to be
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successful (b1 > 1, b2 > 1; this could occur in lekking species).
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Model species and study sites
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The inland silverside, Menidia beryllina (Atherinidae) is widely distributed in estuarine and
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brackish habitats throughout coastal North America.7 Inland silversides are used by the United
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States Environmental Protection Agency to test whole effluent toxicity, and prior work has
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shown that they are susceptible to EDCs.11,13,15-17
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Non-native inland silversides are common in the San Francisco Bay (SFB) estuary and
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associated Sacramento/San Joaquin (SSJ) river delta in California, and have been employed as an
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indictor of potential EDC impacts there.15,19 This estuary is subject to a diverse array of
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anthropogenic inputs including EDCs20 and home to many declining fish populations.21 Recently,
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awareness of EDC prevalence has increased, with estrogenic activity documented in the
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watershed’s rivers22,23 and agricultural drain water.24 The inland silverside is useful as a sentinel
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species for EDC impacts in this region because it is distributed through the entire estuary and
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shares life history traits such as habitat use, diet and short lifespan with endangered fish that
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cannot be sampled extensively, such as the delta smelt (Hypomesus transpacificus).
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We seined inland silversides from five sites following methods described by Middaugh and
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Hemmer.7 Sampled sites include Suisun Slough,and Denverton Slough (both sampled in 2009
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and 2010) and Georgiana Slough, Napa River, and Walnut Grove (all three sampled in 2012 and
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2013; SI). These sites, with the exception of the Napa River, are considered to be part of the
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greater SFB-SSJ delta, represent a range of abiotic conditions (i.e., salinity, flow rate), and are
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surrounded by a diversity of land-use types (SI). For all years and sites, up to 50 fish were
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collected monthly from each site and dissected to determine sex and GSI.
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Laboratory spawning trials
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To estimate the mating function for inland silversides, spawning trials were conducted with
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a group of 120 reproductively mature individuals obtained as juveniles (90 days post hatch) from
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Aquatic Biosystems (Ft. Collins, CO, USA) and reared to maturity at the UNCW Center for
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Marine Science. Methods followed Middaugh and Hemmer7 and are detailed in the SI. Sex of
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inland silversides can only be determined accurately by dissection, so we conducted ten
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spawning trials with different combinations of 25 individually tagged fish randomly selected
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from the pool of 120. After all trials were complete we sacrificed fish to determine sex. External
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tags allowed us to determine what the sex ratio had been in each of the spawning trials. We
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counted the number of fertilized eggs deposited on spawning substrate during each trial. Then, to
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estimate the mating function we used two-dimensional profile likelihood to fit a two-parameter
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beta cumulative density function (cdf; see Materials and Methods: Mating function) to the
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relationship between sex ratio (proportion male) and mass-specific daily fertilized egg
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production (eggs per g female mass per day). We scaled egg production to the maximum daily
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mass-specific value used, so that the beta function described the proportion of the maximum egg
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production achieved at a given sex ratio.
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Model analysis To understand the general dynamic effects of environmental drivers of sex change on fish
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population dynamics, we examined the effects of varying the probabilities of sex reversal (pM
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and pF ) from 0 to 1 for populations with different mating functions. We considered three
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possible mating functions (Fig. 1) to illustrate a biologically plausible range of outcomes. We
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considered scenarios in which sex-reversed fish have the same reproductive capacity (sperm or
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egg production) as non-reversed fish, as well as a scenario in which sex-reversed individuals
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experience a 50% reduction in reproductive output26 (qM = qF = 0.5;).
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As described above (Methods: Basic model dynamics), to facilitate comparisons among
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model scenarios, we specified particular values of the parameter α’. This allowed us to express
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results in terms of equilibrium population size as a proportion of the unimpacted equilibrium
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population size. The results are insensitive to the values of the life history parameters used in the
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model equations (Eq. S1-S7 in SI), but in order to actually perform the calculations we used
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parameters for M. beryllina obtained from FishBase,27 which is a database compiling life-history
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parameters and other information for fishes worldwide (Table S2).
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Simulations with different life history parameters but the same α’ produced similar results,
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but model results were highly sensitive to the value of α’ used. In general, populations can
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withstand greater reductions in LEP (due to harvest, EDC, disturbance, etc.) for larger values of
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α’ (i.e., steeper density-dependent recruitment functions). To obtain general results we used a
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value of α’ = 7.4 (1/α’ = 0.14), which is the middle of the distribution of values estimated by
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Myers et al.29 for a taxonomically diverse range of species. For comparison we also conducted
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the analysis with smaller (1/α’ = 0.05) and larger (1/α’ = 0.37) values corresponding to the outer
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range of values estimated by Myers et al.29
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We also analyzed the model specifically for inland silversides by substituting in the mating
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function estimated from our laboratory spawning trials. We assumed that sex-reversed fish had
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reduced fertility (qM = qF = 0.5) as in Rutilus rutilus.26 and Danio rerio. 33 There is not, to our
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knowledge, an estimate of α’ for any atherinid species. Myers et al.2-4,29 estimated α’ for several
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clupeiform species, which are ecologically similar to atherinids in terms of trophic level, use of
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estuarine habitats, etc. We used the estimate of annual maximum reproduction for Clupeiformes
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(the mean of log values for Clupeidae and Engraulidae) from Myers et al.2,3,6,29 as an estimate of
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maximum lifetime reproduction in inland silversides. This value is 3.22, so 1/α’ = 0.31.
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When attempting to use the model to gain insight into population status at the five
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California field sites, the primary difficulty is that it is not possible to estimate the rate of
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feminization or masculinization (pF or pM) directly from field samples. Additionally, both
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feminizing and masculinizing compounds could be acting simultaneously,5,8-10,15 complicating
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that determination. Therefore we sought inferences based solely on the sex ratio observed in the
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field samples. Sex ratios in silversides populations vary through the year due to temperature-
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dependent sex determination (more females are born earlier in the year and mature faster) but the
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sex ratio is expected to be closest to 0.5 when spawning peaks in the early summer. 12,14,37 We
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determined the peak of spawning at our field sites by examining the temporal patterns in GSI,
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and obtained the sex ratio from the survey(s) corresponding to peak GSI (i.e., peak spawning) at
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each site in each year (this occurred in March-June, depending on the site and year). Because sex
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ratios may vary from year to year depending on the water temperature at each site,18,37 we
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averaged the sex ratios across both years of data collection (either 2009 and 2010, or 2012 and
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2013; Table S3).
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To relate the observed sex ratios to model outputs, we simulated population dynamics for
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inland silversides across the full range of values of pM and pF. For each simulation, we recorded
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the sex ratio and population size (relative to the maximum) at equilibrium. We then plotted the
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joint distribution of sex ratios and population sizes observed in the model simulations. The
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marginal distribution of population sizes for a given observed sex ratio then indicates the likely
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range of population status for each of the field populations.
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In addition to causing complete feminization or masculinization, EDCs can also have more
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subtle effects on reproduction. For example, in inland silversides there is a relationship between
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increasing concentrations of the pesticide bifenthrin and a reduction in choriogenin (an egg
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envelope protein) that corresponds to a reduction in egg output.14,16 Bifenthrin is representative
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of other environmental chemicals that produce endocrine effects via non-classical
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pathways,8,13,16,38 the limitation being that it is not as well classified as known synthetic estrogens
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such as ethinylestradiol. To account for these possible effects, we also made model simulations
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in which overall egg output was reduced by 63%, 28%, or 20%, corresponding to the effects seen
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in laboratory trials with 0.5, 5, or 50 ng/L bifenthrin.5,8,16 Bifenthrin has been measured in the
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water column at concentrations ranging from 0.5 to 106 ng/L in municipal wastewater effluent
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and stormwater run-off.25,30 Low concentrations (0.5 – 5 ng/L) are more typical of longer-term
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exposure, so we only included those levels when comparing model simulations to field data.
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When interpreting model results, it is important to keep in mind some of the assumptions
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inherent in the modeling framework. We represented sex reversal such that there is a constant
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probability of one-directional sex change in each individual, and no intersex. Our model does not
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account for possible differences in the growth or mortality of sex-reversed individuals (although
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it easily could be modified to do so were data available). Finally, the model is deterministic with
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constant EDC exposure and a constant maximum reproductive rate. Interannual variation in the
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reproductive rate could lead to extinction, even if the deterministic persistence criterion given
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above is met, because there could be a string of years with reproductive rates substantially lower
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than the long-term deterministic average.16,29
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Results
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Model analysis for generic species
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Analysis of the model for generic species showed the dual influence of both the mating
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function and critical replacement threshold (1/α’) on the population response to feminization and
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masculinization (Fig. 3). In general, a population will collapse as either masculinization or
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feminization approaches 100%, and faster if sex-reversed individuals have a 50% reduction in
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fecundity. Masculinization leads to an excess of males, and that effect was not altered by the
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shape of the mating function (Fig. 3a,c,e). Conversely, the shape of the mating strongly affected
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the consequences of feminization: populations with linear or sigmoidal mating functions
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collapsed at lower feminization rates because reproduction becomes male-limited, but with a
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steep, asymptotic mating function, feminization actually increased population size (until
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feminization reaches nearly 100%) because the additional females merely increased overall
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population reproductive output (Fig. 3b,d,f). The effects of the replacement threshold on these
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patterns was predictable: populations with larger values of 1/α’ (less steep stock-recruit curves)
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were more sensitive to the loss of reproductive output and went extinct under lower rates of
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feminization or masculinization (Fig. 3).
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When both masculinization and feminization occur simultaneously, we found some
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scenarios in which populations maintained near-pristine sizes despite high probabilities of both
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feminization and masculinization (Fig. 4). As in Fig. 3, high rates of either masculinization or, to
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a lesser degree, feminization, led to exinction. However, the two processes could effectively
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cancel out so long as sex-reversed individuals had normal fecundity (Fig. 4a, c, e). If sex-
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reversed individuals had 50% of normal fecundity, then no level of feminization was sufficient to
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keep the population at > 75% of the pristine population size when masculinization exceeded
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50%. Lower rates of masculinization could still counterbalance the negative effects of high
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feminization, however, keeping the population at > 75% of pristine even with 100% feminization
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(Fig. 4b, d, f). Figure 4 shows results for the baseline replacement rate (1/a’ = 0.14); lower and
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higher values had effects similar to those depicted in Fig. 3 (Fig. S1, S2).
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Empirical mating function There was a monotonic, positive relationship between sex ratio and mass-specific (per unit
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female biomass) fertilized egg production over the range of sex ratios we observed (Fig. 5a).
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This relationship was described by a nearly linear sigmoidal curve with parameters b1 = 1.002, b2
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= 1.282 (Fig. 5a; profile likelihood confidence region for the model parameters shown in Fig. S3).
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There was no relationship between sex ratio and the proportion of fertilized eggs (data not
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shown), and the mean fertilization rate was 87% (± 0.03% standard error).
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EDC effects on wild silverside populations Using the life-history parameters for inland silversides (Table S2), our best estimate of the
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maximum lifetime reproductive rate, an expected 50% reduction in fecundity of sex-reversed
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fish, and the empirical mating function (Fig. 5a) allowed us to predict the expected effects of
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feminization and masculinization on silverside populations (Figs. 5, S4). The baseline results
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without any additional EDC effects (Fig. 5b) closely resemble the generic model results for a
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species with 1/α’ = 0.39 and a linear mating function (Fig. S2d), as those generic model
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parameters match the silverside parameters very closely. Due to the combination of a nearly-
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linear mating function and a low maximum lifetime reproductive rate, the population is expected
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to collapse if masculinization or feminization exceeds 75%, except for a narrow range of high
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feminization and moderate masculinization in which the two processes counteract (Fig. 5b).
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Adding in an additional EDC effect, the reduced fecundity caused by bifenthrin exposure,
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led to additional reductions in overall reproduction, pushing the population closer to extinction
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(Fig. 5c). With fecundity reduction equivalent to ≥ 5 ng/L bifenthrin the population was very
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close to extinction even without any feminization or masculinization (Fig. S4).
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To use the model results to interpret the population-level consequences of the sex ratios
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observed at the five field sites, we recorded the sex ratios observed in each of the simulations
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shown in Fig. 5, for every possible combination of the probabilities of feminization and
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masculinization (Fig. S5). We then plotted the range of equilibrium population sizes (from Figs.
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5 and S4) for each possible sex ratio. This produces a distribution of possible population sizes,
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given an observed sex ratio (Fig. S6a). We then used the observed mean sex ratio at each site as
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a point estimate along the horizontal axis of that distribution, and estimated the possible range of
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population sizes given that sex ratio (Fig. S6a). Chemical analysis of pesticide concentrations
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was not available from those field sites, but water at several of the sites had been shown to have
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either estrogenic or androgenic activity in the past11,13,15-17 so for comparison we estimated the
328
range of possible population sizes under baseline conditions (corresponding to Fig. 5b) and with
329
levels of fecundity reduction corresponding to 0.5 and 5 ng/L bifenthrin (Fig. S6b-f).
330
The field sites varied widely in observed sex ratio, from a minimum of 0.16 at Sacramento
331
to a maximum of 0.69 at Suisun. Georgiana had the sex ratio closest to 0.5 (0.39), and
332
consequently had the highest predicted equilibrium population size, unless bifenthrin exposure is
333
≥ 5 ng/L (Fig. S6b). The Napa and Sacramento sites both had very low sex ratios, and
334
consequently were predicted to have low or near-zero equilibrium population size, even without
335
additional effects of bifenthrin on productivity (Fig. S6d,f). The status of Denverton and Suisun
336
is more difficult to interpret. The sex ratios at those two sites were > 0.6. In the model,
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populations with highly female-biased sex ratios always had low population sizes (as predicted
338
for Napa and Sacramento), whereas a moderately male-biased sex ratio is possible in both
339
healthy populations with intermediate masculinization and low feminization or in near-zero
340
populations with high masculinization and low-to-moderate feminization (probability of
341
feminization ≤ 0.4; Fig. S5). In the latter case, most of the females in the population are sex-
342
reversed males with 50% reduced fecundity, hence the low population size despite the only
343
moderately biased sex ratio. Consequently, the range of possible population sizes for the two
344
populations with male-biased sex ratios (Denverton and Suisun) was very broad, even if the
345
possible negative effects of bifenthrin were not considered (Fig. S6c,e).
346 347
Discussion
348
Many previous sex-specific modeling approaches have assumed that male fish are
349
promiscuous and are able to fertilize multiple females.5,8,16 In contrast to this supposition, our
350
laboratory spawning trials with inland silversides revealed an approximately linear increase in
351
fertilized egg production with increasing sex ratio (up to 60% male, the most extreme ratio we
352
observed). Our model results show that accounting for such differences in mating system is
353
necessary to properly represent population dynamics, and that the type of mating function
354
assumed in a model has a substantial impact on the estimate of population size and hence overall
355
influence of EDC exposure.
356
In the model, EDC effects on population dynamics were jointly determined by the mating
357
function (relating sex ratio to egg production) and the replacement threshold, 1/α’ (which
358
determines the level of egg production required for demographic replacement and population
359
persistence). In general, masculinization (loss of females) caused an identical, steep reduction in
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population size for all three mating functions, whereas the effect of feminization (loss of males)
361
differed depending on the mating function. For the population with the baseline replacement
362
threshold (1/α’= 0.14), population size began to decline at a 50% probability of masculinization
363
(regardless of mating function), and was particularly severe if we assumed that EDC exposure
364
also reduced per capita fecundity. The decline at 50% probability of masculinization coincides
365
with the point at which the sex ratio begins to noticeably increase above 0.5; for lower levels of
366
masculinization, the loss of females is counterbalanced by the possibility for XX-genotype
367
females to mate with XX (sex-reversed) males, producing an excess of XX (female) eggs. As
368
such, we generally predict that populations with highly male-biased sex ratios will experience
369
population collapse. This is not surprising as the loss of females directly reduces the overall egg
370
output of the population, decreasing reproduction below the replacement threshold. Thus the
371
precise effect of masculinization depended on the replacement threshold; model populations with
372
a lower threshold were less vulnerable to masculinization.
373
In contrast, feminization did not affect populations with the baseline replacement threshold
374
until the feminization rate exceeded 80%. The effects of feminization followed directly from the
375
mating functions: for the linear function, there was a monotonic decline in population size with
376
increasing feminization, but for the asymptotic and sigmoidal functions, the population actually
377
increased somewhat with increasing feminization before eventually collapsing when there too
378
few males to allow reproduction. The latter is consistent with past empirical and theoretical
379
studies: having a female-biased sex ratio can increase the equilibrium population size, up to a
380
point (and only with a nonlinear mating function).5,12,28
381 382
Although comparatively more focus has been placed on fish feminization caused by EDCs, 6,30
our model results suggest that masculinization is actually a greater concern in terms of
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population-level effects. Hormones present in municipal and agricultural effluent can
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masculinize fish at environmentally relevant concentrations,13,16,31,39,40 as can exposure to other
385
stressors (e.g., high temperatures32,41). Interestingly, our model predicts that moderate rates of
386
feminization (≥ 0.5) can counteract the negative effects of masculinization on population size.
387
This possibility presents an intriguing hypothesis for empirical testing in the lab or field, but
388
depends strongly on sex-reversed individuals having at least somewhat normal fertility, which is
389
atypical according to other studies.18,26,33
390
The biological interpretation of the replacement threshold is that it integrates the variety of
391
processes related to demographic replacement, including life expectancy, age at maturity, per-
392
capita fecundity, and survival in the egg and larval stages. In general one expects species that
393
mature faster, live longer, and have higher fecundity and survival rates to have a higher lifetime
394
egg production, and thus a smaller fraction of those eggs would be required to achieve
395
replacement. The consequent effects of EDCs on population dynamics then follow logically: for
396
species with lower lifetime fecundity and survival rates and therefore higher replacement
397
thresholds, the marginal effects of reduced egg production due to EDCs will be greater. That said,
398
one possible exception to this general rule would be if longer-lived, sexually plastic species were
399
more susceptible to long-term, chronic effects of EDC exposure, whereas long-term effects are
400
less possible for very short-lived species.
401 402
Empirical determination of the mating function in Menidia beryllina
403
To our knowledge, this work represents the first empirical, lab-based determination of the
404
mating function in a fish. The nearly linear mating function was a surprising departure from the
405
only other known example: the steep, asymptotic function described in the field for T.
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bifasciatum.1,26 As opposed to the haremic mating system in T. bifasciatum, M. beryllina appear
407
to spawn promiscuously in mixed-sex groups, with pairs of fish alternating excursions into the
408
spawning substrate to deposit and fertilize eggs. Interestingly, fertilized egg production increased
409
with sex ratio, but the fertilization rate did not, remaining at > 85% regardless of sex ratio. Thus
410
females simply do not release as many eggs when there are too few males to fertilize them. This
411
topic bears further behavioral investigation; perhaps females prefer to spawn with a variety of
412
males.
413
In some wild vertebrate populations, mating success and mating strategies depend not only
414
on the sex ratio but also on population density.34,42,43 Our experimental approach did not address
415
this possibility, but it would be worthwhile to pursue this hypothesis given the steep declines in
416
population size predicted by our model. Indeed, our experimental data carries the caveats that a)
417
it is difficult to relate effective population densities in the experimental tanks to those
418
experienced in the field, and b) it is possible that wild fish have somewhat different spawning
419
behaviors than the laboratory-reared animals we used.
420 421 422
EDC effects on inland silverside populations Accounting for the nearly linear mating function and the estimated replacement threshold
423
(1/α’ = 0.31), the model predicted much more severe effects on silverside populations than on
424
species with the baseline replacement threshold (1/α’ = 0.14). When we added the possibility of
425
reduced fertility due to EDCs , stark reductions in population size were predicted for only
426
moderate probabilities of feminization or masculinization (< 0.3). A novelty of this approach is
427
that these predictions are based on the reduction in expression of choriogenin following EDC
428
expsoure. In the context of adverse outcome pathways (AOPs), which are conceptual constructs
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that demonstrate known links between biochemical events and an adverse outcome at a higher
430
level of biological organization,29,44 these model simulations directly link a key event
431
(choriogenin production, downstream of a molecular initiating event) to a population-level
432
outcome. This permits the assessment of risk for exposed populations.
433
All but one of the wild silverside populations (Georgiana) had a sex ratio considerably
434
different from 0.5, and consequently were predicted to have an equilibrium population size
0.5 in the model. Confidence in
439
these population-level predictions is limited because we were attempting to translate snapshots of
440
population sex ratios into rates of feminization and masculinization, the currency in our model.
441
More information on EDC effects in the population (e.g., evidence of sex reversal, or size-
442
structure data) could strengthen these inferences. It is possible that non-EDC factors produced
443
the extreme sex ratios we observed, but given the detection of other somatic or biochemical EDC
444
effects at each site,15,19,35 it is parsimonious to attribute the sex ratios to EDCs. Additional
445
sampling of our study sites to determine rates of sex-reversal (e.g., by examining gonad
446
histology and expression of reproductive marker genes;15,16,29) would permit better model
447
estimates of population status.
448
A second form of uncertainty in the population status estimates was the level of EDC-
449
dependent reduction in fecundity to expect. Fecundity reduction equivalent to exposure to very
450
low levels of bifenthrin (0.5 ng/L, causing 68% of normal fecundity) was sufficient to reduce all
451
populations (except Georgiana) below 20% of the unimpacted size. Given that a bifenthrin
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concentration of 0.5 ng/L is the analytical detection limit and is at or below that typically
453
measured from waters in the SFB estuary and elsewhere in the USA,28,34,35,45 those model
454
projections are likely conservative. Although silverside populations are relatively large in
455
comparison to those of threatened species such as H. transpacificus in this region, it is possible
456
that this is due to recruitment of silverside larvae from areas less impacted than those analyzed
457
here, or that silversides would be even more abundant in the absence of EDCs. Other ecological
458
factors have likely contributed to the decline of species such as H. transpacificus, but our results
459
suggest that EDC effects on such species may also be substantial.
460
Overall, these model projections show that fish populations with a high replacement
461
threshold and slight shifts in sex ratio may be threatened in waterways globally where
462
pyrethroids and other EDCs shown to reduce fecundity are present (e.g., estrogens, progestin 6,36).
463
Thus our findings could be used to guide precautionary management, affording additional
464
protection to species with sensitive life histories (e.g., high replacement threshold) in EDC-
465
affected area. Additionally, it is straightforward to use life history parameters for a different
466
species to repeat our analysis in other locations with other fishes.
467
Our model results indicate that population-level sensitivity to EDCs is highly dependent
468
upon the shape of the mating function and the replacement threshold, particularly for
469
feminization, and that masculinization is generally more detrimental than feminization. We have
470
also shown that it is possible to use molecular and biochemical measures of fecundity, such as
471
egg protein production, to estimate fecundity rates, thus directly linking a key AOP event to
472
population-level outcomes. Given this new framework for determining population-level effects
473
of EDCs, we can now better design experimental approaches in both laboratory and field to
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generate data that can be used to build upon the model described here and make more informed
475
inferences about the status of wild populations.
476 477 478
Acknowledgements
479
This research was supported by funding from UNCW Center for Marine Science, NC Sea Grant
480
(R/MG-1114), National Science Foundation (OCE-1435473), California Department of Fish and
481
Game (contract #E1183010), State and Federal Contractors Water Agency (contract no. 17-08), a
482
Delta Science Post-Doctoral Fellowship, and Environmental Protection Agency (STAR
483
#835799). We thank B. DeCourten, many undergraduate researchers at UNCW, and the Bodega
484
Marine Laboratory Aquatic Resources Group for field and lab assistance, R. Deanes and R.
485
Moore for seawater system expertise, and S. Kellman for advice on spawning silversides. Three
486
anonymous reviewers provided thoughtful suggestions that improved the manuscript.
487 488 489
Supporting information
490
Full description of the population model, description of field sampling sites, methodology for
491
laboratory spawning trials, mating combinations possible in the model (Table S1), life history
492
parameters used in the model (Table S2), summary of inland silversides sex ratios and GSI at
493
field sites (Table S3), additional model results (Fig. S1, S2, S4, S5), likelihood surface for the fit
494
of beta cdf to spawning trial data (Fig. S3), comparison of model results to field data (Fig. S6).
495
This information is available free of charge via the Internet at http://pubs.acs.org.
496
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Figure legends
499
Figure 1. Alternative possible forms of the mating function relating sex ratio, X, to the
500
proportion of female eggs fertilized,G(X,b1,b2). Forms used in the model for generic fish species
501
were asymptotic (dashed curve, representing a polygynous broadcast spawner); linear (solid
502
curve, representing monogamy, pair spawning, or courtship limitation); or sigmoidal (dotted
503
curve, representing a minimum-male threshold).
504 505
Figure 2. Schematic illustrating the components of the study. The central diagram shows the life
506
cycle of a fish, and the key processes in the life cycle are labeled in the gray oval. Information
507
from various sources was used to parameterize the model (indicated by arrows pointing at each
508
process): published literature (dashed outlines), prior published work by this research group
509
(dash-dot outline), and experiments described in this paper (solid outlines). Factors specified
510
directly by the model have a dotted outline. Factors describing EDC effects are shaded gray. The
511
bi-directional arrow indicates a comparison of model output to field observations.
512 513
Figure 3. Equilibrium population size (relative to that of a pristine population) under different
514
probabilities of (a,c,e) masculinization or (b,d,f) feminization due to EDCs. Color indicates
515
different shapes of the mating function (as in Fig 1): asymptotic (blue), linear (black), or
516
sigmoidal (red). In the model, sex-reversed individuals have either full fertility in the reversed
517
sex (solid curves) or 50% reduction in fertility (dashed curves). These simulations used a critical
518
replacement threshold (1/α’) of (a,b) 0.05 (lower extreme from literature estimates), (c,d) 0.14
519
(baseline), or (e,f) 0.39 (upper extreme).
520
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Figure 4. Equilibrium population size (relative to that of a pristine population) under different
522
combinations of probabilities of feminization and masculinization due to EDCs. Results are
523
shown for (a,b) asymptotic, (c,d) linear, or (e,f) sigmoidal mating functions and either (a,c,e)
524
natural fertility for sex-reversed fish or (b,d,f) 50% reduced fertility in sex-reversed fish. These
525
simulations used a critical replacement threshold (1/α’) of 0.14.
526 527
Figure 5. Empirical and model results for inland silversides (Menidia beryllina). (a) Empirical
528
mating function based on lab trials with inland silversides. Each point represents the mass-
529
specific per-capita egg production (per gram of female biomass) observed from a single trial with
530
the indicated sex ratio. The curve is a beta cumulative distribution function fit to the data by
531
maximum likelihood (b1 = 1.002, b2 = 1.2823); dashed lines represent 90% confidence interval
532
on the fit. (b-c) Equilibrium population size (relative to that of a pristine population) under
533
different combinations of probabilities of feminization and masculinization due to EDCs for the
534
model parameterized for inland silversides (Menidia beryllina). Panels show model results that
535
include reductions in overall fecundity equivalent to bifenthrin exposure of (b) 0 ng/L or (c) 0.5
536
ng/L (0% and 68% of normal, respectively).
537 538 539 540 541 542 543 544 545 546 547 548
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marine reserve networks: incorporating spatial heterogeneities in larval dispersal. MARINE ECOLOGY-PROGRESS SERIES- 2010, 398, 49–67. White, J. W.; Botsford, L. W.; Moffitt, E. A. Decision analysis for designing marine protected areas for multiple species with uncertain fishery status. Ecological Applications 2010, 20, 1523–1541. Conover, D. O.; Kynard, B. E. Environmental sex determination: interaction of temperature and genotype in a fish. Science 1981, 213, 577–579. Crago, J.; Schlenk, D. Aquatic Toxicology. Aquatic Toxicology 2015, 162, 66–72. Kolok, A. S.; Sellin, M. K. The environmental impact of growth-promoting compounds employed by the United States beef cattle industry: history, current knowledge,and future directions. In Reviews of environmental contamination and toxicology; Whitacre, D. M., Ed.; Springer: New York, 2008; pp 1–30. Svensson, J.; Fick, J.; Brandt, I.; Brunström, B. The synthetic progestin levonorgestrel is a potent androgen in the three-spined stickleback (Gasterosteus aculeatus). Environ. Sci. Technol. 2013, 47 (4), 2043–2051. Knapp, R.; Marsh-Matthews, E.; Vo, L.; Rosencrans, S. Stress hormone masculinizes female morphology and behaviour. Biology Letters 2011, 7 (1), 150–152. Kokko, H.; Rankin, D. J. Lonely hearts or sex in the city? Density-dependent effects in mating systems. Philosophical Transactions of the Royal Society B: Biological Sciences 2006, 361 (1466), 319–334. Forsgren, E.; Amundsen, T.; Borg, Å. A.; Bjelvenmark, J. Unusually dynamic sex roles in a fish. Nature 2004, 429 (6991), 551–554. Ankley, G. T.; Bennett, R. S.; Erickson, R. J.; Hoff, D. J.; Hornung, M. W.; Johnson, R. D.; Mount, D. R.; Nichols, J. W.; Russom, C. L.; Schmieder, P. K.; et al. Adverse outcome pathways: A conceptual framework to support ecotoxicology research and risk assessment. Environmental Toxicology and Chemistry 2010, 29 (3), 730–741. Weston, D. P.; Chen, D.; Lydy, M. J. Stormwater-related transport of the insecticides bifenthrin, fipronil, imidacloprid, and chlorpyrifos into a tidal wetland, San Francisco Bay, California. Science of The Total Environment 2015, 527-528 (C), 18–25.
ACS Paragon Plus Environment
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Population size
Egg fertilization rate
Graphical Abstract
ACS Paragon Plus Environment Sex ratio
Feminization by EDCs
Page 29 of 33Environmental Science & Technology
Figure 1
Fertilization rate (G(2X,b1,b2) )
1 b1=1 b2=40
0.8 0.6 0.4 0.2 0
b1=6 b2=15
b1=1 b2=1
0
0.1
0.2
0.3
0.4
Sex ratio (proportion male; X) ACS Paragon Plus Environment
0.5
Environmental Science & Technology Page 30 of 33
Figure 2 Model Fish Life Cycle Literature
Re p th lac re em sh e ol nt d
wth
al
Gro
Literature
Juvenile
Eggs
x t Se ina rm te
de
Adult
n
io
g tin Ma ction fun
EDC exposure in model causes feminization or masculinization
Comparison to field sex ratios to evaluate population status
Per capita fecundity
Su
rviv
Larvae
Fecundity reduction in sex-reversed fish Bifenthrin effects on choriogenin and egg production
Spawning experiment
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Environmental Science & Technology
Population size (proportion of Nmax)
Figure 3
1/α' = 0.05
(a)
(b)
1
1
0.8
0.8
0.6
0.6
0.4
0.4
0.2
0.2
0
0
0.2
0.4
0.6
0. 8
1
0
1
0.8
0.8
0.6
0.6
0.4
0.4
0.2
0.2
0
0 0.2
0.4
0.6
0.8
0.6
0.8
1
0
1
0.2
0.4
0.6
0.8
1
0.2
0.4
0.6
0.8
1
1/α' = 0.39
(e)
(f)
1
1
0.8
0.8
0.6
0.6
0.4
0.4
0.2
0.2 0
0.4
(d)
1
0
0.2
1/α' = 0.14
(c)
0
0
0.2
0.4
0.6
0.8
Probability of masculinization
1
0
0
Probability of feminization
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Environmental Science & Technology
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Figure 4 (b)
0.8
0.8
0.8
0.6
0.6
0.6
0.4
0.4
0.4
0.2
0.2
0.2
Probability of feminization
0
0
0.2 0.4 0.6 0.8 1
(c)
0
1
0.8
0.8
0.6
0.6
0.4
0.4
0.2
0.2 0
0.2 0.4 0.6 0.8 1
(e)
0
1
0.8
0.8
0.6
0.6
0.4
0.4
0.2
0.2 0
0.2 0.4 0.6 0.8 1
0
0.2 0.4 0.6 0.8 1
0
0.2 0.4 0.6 0.8 1
(f)
1
0
0
(d)
1
0
1
1
1
0.2 0.4 0.6 0.8 1
0
Probability of masculinization
ACS Paragon Plus Environment
0
Population size (proportion of Nmax)
(a)
Page 33 Environmental of 33 Science & Technology
Egg production (eggs g-1 d-1)
Figure 5
(a) 400 300 200 100 0.2
0.3
0.4
0.6
Sex ratio (proportion male) (b)
1
0.8
0.8
0.6
0.6
0.4
0.4
0.2
0.2
0
0
0.2 0.4 0.6 0.8
0
(c) 0.8 0.6 0.4 0.2 0
0
0.2 0.4 0.6 0.8
Probability of masculinization
ACS Paragon Plus Environment
Population size (proportion of Nmax)
Probability of feminization
0.5