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			<titleStmt><title level='a'>Epigenetic Potential and DNA Methylation in an Ongoing House Sparrow (Passer domesticus) Range Expansion</title></titleStmt>
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				<publisher></publisher>
				<date>2022</date>
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				<bibl> 
					<idno type="par_id">10346000</idno>
					<idno type="doi">10.1086/720950</idno>
					<title level='j'>The American Naturalist</title>
<idno>0003-0147</idno>
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					<author>Haley E Hanson</author><author>Chengqi Wang</author><author>Aaron W Schrey</author><author>Andrea L Liebl</author><author>Mark Ravinet</author><author>Rays H.Y. Jiang</author><author>Lynn B Martin</author>
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			<abstract><ab><![CDATA[During range expansions, organisms can use epigenetic mechanisms to adjust to conditions in novel areas by altering gene expression and enabling phenotypic plasticity. Here, we predicted that the number of CpG sites within the genome, one form of epigenetic potential, would be important for successful range expansions because DNA methylation can modulate gene expression, and consequently plasticity. We asked how the number of CpG sites and DNA methylation varied across five locations in the ~70 year-old Kenyan house sparrow (Passer domesticus) range expansion. We found that the number of CpG sites was highest towards the vanguard of the invasion and decreased towards the range core. Analysis suggests that this pattern may have been driven by selection, favoring birds with more CpG sites at the range edge. However, we cannot rule out other processes including non-random gene flow. Additionally, DNA methylation did not change across the range expansion, nor was it more variable. We hypothesize that as new areas are colonized, epigenetic potential may be selectively advantageous early but eventually be replaced by less plastic and perhaps genetically-canalized traits as populations adapt to local conditions. Although further work is needed on epigenetic potential, this form (CpG number) appears to be a promising mechanism to investigate as a driver of expansions via capacitated phenotypic plasticity in other natural and anthropogenic range expansions.]]></ab></abstract>
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<div xmlns="http://www.tei-c.org/ns/1.0"><head>Introduction</head><p>Epigenetic modifications, such as DNA methylation, play a critical role in linking environmental variation to phenotypic variation by modifying how genes are expressed <ref type="bibr">(Smith and Meissner 2013)</ref>. In vertebrates, DNA methylation and other molecular epigenetic mechanisms are instrumental to cellular and tissue differentiation during development. Epigenetic modifications can also affect evolutionarily-relevant behavioral, morphological, and physiological plasticity <ref type="bibr">(Feinberg 2007;</ref><ref type="bibr">Bock et al. 2012)</ref>. Epigenetic variation, including DNA methylation patterns, predominates in particular genomic regions (e.g., CpG dinucleotides in vertebrates), so depending on genomic makeup, individuals might differ in the extent to which their genomes can be modified epigenetically <ref type="bibr">(Feinberg and Irizarry 2010)</ref>. Moreover, when genetic variation associated with epigenetic marks occurs in genes that affect fitness, natural selection may follow, leading to differences in epigenetic potential among populations <ref type="bibr">(Feinberg and Irizarry 2010)</ref>.</p><p>Epigenetic potential (i.e., genomic differences in the capacity for epigenetic mechanisms to mediate phenotypic variation) might become more common or rare in populations depending on the selective value of phenotypic plasticity in a given area <ref type="bibr">(Kilvitis et al. 2017)</ref>. For instance, during range expansions, individuals face relatively novel threats and opportunities that require rapid phenotypic responses. However, they also risk diminished organismal performance because of low population genetic diversity or founder effects, which could affect the predominance of gene variants associated with low fitness <ref type="bibr">(Lee 2002</ref>). Thus, epigenetic potential may be selected for early in invasions and during expansions, but as populations adapt to colonized environments, the local value of epigenetic potential might wane as phenotypically plastic genotypes are outcompeted by genotypes with genetically canalized traits <ref type="bibr">(Kilvitis et al. 2017)</ref>. Alternatively, as epigenetic potential is underlain genetically, differences in epigenetic potential may arise via 4 mechanisms unrelated to selection. Population-level processes such as the dispersal of individuals across the invasion front could lead to differences in epigenetic potential for reasons unrelated to adavptive plasticity. Non-random dispesal of indivudals could lead to non-random gene flow contributing to patterns of epigenetic potential <ref type="bibr">(Edelaar and Bolnick 2012)</ref>. Another process contributing to differences in epigenetic potential could be the expression of transposable elements <ref type="bibr">(TEs)</ref>. During periods of stress, such as may be experienced during invasions, TEs may be activated, leading to their insertion across the genome and resulting in increased genetic variation and subsequently, higher epigenetic potential <ref type="bibr">(Stapley et al. 2015;</ref><ref type="bibr">Marin et al. 2019)</ref>. Here, we investigated epigenetic potential across an ongoing range expansion of an extremely successful introduced species, the house sparrow (Passer domesticus). We also explored genetic variation across the expansion to help parse the scenarios under which differences in epigenetic potential could have arisen. We predicted that epigenetic potential would be highest towards the advancing range edge where birds arrived most recently and decline towards the core of the population where birds were initially introduced.</p><p>House sparrows expanded out of the Middle East thousands of years ago as agriculture spread into Europe <ref type="bibr">(Ravinet et al. 2018)</ref>. Over the last 170 years, this species has achieved a nearglobal distribution, largely due to intentional or accidental movements by humans <ref type="bibr">(Ravinet et al. 2018;</ref><ref type="bibr">Hanson et al. 2020b</ref>). As house sparrows spread globally, they have had to cope with a wide range of biotic and abiotic novelties. Concurrently, some introduced groups are expected to have faced founder effects and genetic bottlenecks, yet despite these challenges, house sparrows endure and often thrive in non-native areas, exhibiting extensive seemingly adaptive phenotypic variation across much of the globe <ref type="bibr">(Johnston and Selander 1971;</ref><ref type="bibr">Blem 1973;</ref><ref type="bibr">Kendeigh 1976;</ref><ref type="bibr">Parkin and Cole 1985;</ref><ref type="bibr">Schrey et al. 2011)</ref>. In one of their most recent range expansions in Kenya, house sparrow trait variation, including the regulation of glucocorticoid hormones, immune genes, and several behaviors, track relative population age <ref type="bibr">(Liebl and</ref><ref type="bibr">Martin 2012, 2013;</ref><ref type="bibr">Martin and Liebl 2014;</ref><ref type="bibr">Martin et al. 2014</ref><ref type="bibr">Martin et al. , 2017))</ref>. This paradox of extensive trait variation when genetic variation is comparatively low (relative to native populations) might be resolved by phenotypic plasticity and/or epigenetic compensation, a result observed previously in this system <ref type="bibr">(Schrey et al. 2012)</ref>.</p><p>Epigenetic potential may take several forms, but here we investigate one form: the number of cytosine-phosphate-guanine sites, or CpG sites, in the genome, the genetic motifs upon which DNA can be methylated <ref type="bibr">(Branciamore et al. 2010;</ref><ref type="bibr">Zhu et al. 2016;</ref><ref type="bibr">Kilvitis et al. 2017)</ref>. In vertebrates, DNA methylation occurs when a methyl group is added to the fifth carbon position of a cytosine predominately within a CpG site <ref type="bibr">(Smith and Meissner 2013)</ref>. Depending on where DNA methylation occurs in the genome, it may suppress or enhance gene expression <ref type="bibr">(Jones 2012)</ref>. In principle, each CpG site represents an opportunity for DNA methylation to alter gene expression <ref type="bibr">(Branciamore et al. 2010)</ref>. DNA methylation can originate stochastically, due to underlying genetic variation (in cis or trans), or in response to particular environmental simuli <ref type="bibr">(Richards 2006;</ref><ref type="bibr">Sepers et al. 2019)</ref>. Indeed, DNA methylation can be induced or eliminated rapidly following stimulation from a range of factors (e.g., diet, transcription factor activity, stressors, etc.), or may remain fixed after induction during development <ref type="bibr">(Richards 2006;</ref><ref type="bibr">Smith and Meissner 2013;</ref><ref type="bibr">Wu and Zhang 2014)</ref>. In the context of range expansions or introductions, DNA methylation originating in response to external conditions during development and adulthood is expected to be particularly critical for allowing individuals to respond to unfamiliar environments. Regardless of the origin of DNA methylation, this type of epigenetic potential reflects the capacity for DNA methylation to occur. 6 Already, there is evidence that epigenetic potential of this form (i.e., CpG number) i) differs across house sparrow populations and ii) capacitates gene expression in one microbial surveillance gene, Toll-like receptor 4 (TLR4). First, epigenetic potential in the putative promoter region of TLR4 was higher in introduced compared to native house sparrows from across the globe <ref type="bibr">(Hanson et al. 2020a</ref>). There, the pattern was argued to reflect evidence for epigenetic potential fostering invasions because more plasticity in immune responses should be favorable in novel areas where many pathogens would also be novel to their hosts. Second, epigenetic potential in the gene promoter affected TLR4 expression over time in house sparrows <ref type="bibr">(Hanson et al. 2021</ref>). Specifically, birds with higher epigenetic potential expressed more TLR4 in blood over the course of the experiment, and there was also an unexpected sex difference such that females with higher epigenetic potential exhibited greater reversibility in gene expression than those with low epigenetic potential. Epigenetic potential also had tissue-specific effects on TLR4 expression, suggesting a further means by which epigenetic potential could underpin phenotypic plasticity.</p><p>Altogether, these results suggest that epigenetic potential might enable more variation in gene expression among tissues and over time to provide a comparatively malleable response to parasites <ref type="bibr">(Hanson et al. 2021)</ref>.</p><p>Building off of these studies, here we asked whether epigenetic potential varied predictably across the ~70 year old Kenyan range expansion, by using a reduced representation library-based sequencing to compare CpG number and DNA methylation among house sparrows from five cities <ref type="bibr">(Schield et al. 2016)</ref>. These five cities spanned the extent of the ongoing invasion, from the location of intitial introduction into Kenya (range core), where house sparrows have been established for significant periods of time (~70 years), to the range edge at the time where birds arrived relatively recently <ref type="bibr">(Martin et al. 2010;</ref><ref type="bibr">Liebl and Martin 2012;</ref><ref type="bibr">Schrey et al. 2014)</ref>. We queried i) how the 7 number of CpG sites changed across the range expansion; ii) whether existing CpG sites were being lost or novel CpG sites gained; and iii.) whether these patterns potentially arose via selection or other processes. From our past research in the Kenyan house sparrow system, we predicted that epigenetic potential would be highest towards the range edge where the selective value of phenotypic plasticity should be high compared to the range core. We hypothesized that towards the range edge, positive section would be the most evident process, leading to less frequent losses of existing CpG sites. We also considered non-random gene flow and the activity of transposable elements as alternative mechanisms that could generate patterns of epigenetic potential. Nonrandom gene flow is not expected to generate any specific pattern of epigenetic potential across the range expansion, but if this process were occurring, we would expect to see high levels of population structure due to the dispersal of similar genotypes across the range expansion. If the activation of transposable elements was occurring, we would expect to see not only high levels of epigenetic potential at the range edge, but also high levels of genetic diversity. Moreover, we would also expect to see gains of novel CpG sites due to the insertion of new genetic material, rather than an increase in frequency of exisiting CpG sites. Lastly, from our epigenetic data, we described iv) global DNA methylation patterns amongst cities across the expansion. We did not make specific predictions about the directionality of DNA methylation across the range expansion as DNA methylation patterns can be highly context dependent, contingent on the gene or gene region where the CpG site is located, the tissue from which they are generated, and the environmental conditions to which individuals were exposed over their lives. We could not account for any of these factors here, as we have no information about prior experiences of these birds that might have affected gene expression patterns, nor specific expectations about methylation variability among and within genomic regions.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Materials and Methods</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>House sparrow sampling</head><p>House sparrows were captured via mist nets in five cities across southern Kenya in February through May of 2013. House sparrows were initially introduced to Mombasa in the 1950s, so as in other studies, we used distance (in km) from Mombasa as a proxy for time since introduction (see <ref type="bibr">Liebl and Martin 2012;</ref><ref type="bibr">Schrey et al. 2014;</ref><ref type="bibr">Martin, Liebl, and Kilvitis 2015;</ref><ref type="bibr">Martin et al. 2014</ref><ref type="bibr">Martin et al. , 2010))</ref>. This house sparrow range expansion seems to have occured northwestwards from Mombasa following the Mombasa highway <ref type="bibr">(Schrey et al. 2014)</ref>. House sparrows reached Nairobi between the late 1980s and mid 1990s and spread west since 2000, supporting the assumption that house sparrows have occupied different cities for differing amounts of time <ref type="bibr">(Martin et al. 2010;</ref><ref type="bibr">Liebl and Martin 2012;</ref><ref type="bibr">Schrey et al. 2014)</ref>. Genetic analyses indicate that populations are structured and hence behave as independent units, but they also indicate that admixture is still occurring among cities <ref type="bibr">(Schrey et al. 2014)</ref>.</p><p>Birds in the present study were captured from the following cities: Mombasa (0 km), Voi (160 km), Nairobi (500 km), Nakuru (650 km), and Kakamega (850 km). The distance did not differ for house sparrows captured within the same city (i.e. all house sparrows captured in Nairobi were considered 500 km away from Mombasa in these analyses, as all Nairobi sparrows were captured from the same specific location within Nairobi). Individuals were brought into captivity and housed at ambient conditions with ad libitum access to food and water for another study focused on neurogenesis. After five days of captivity, house sparrows were euthanized via isoflurane overdose and rapid decapitation. Whole brains were removed and stored in PBS with sodium azide at 4&#176;C. Before DNA extraction, hippocampi were excised from whole brains and 0.1 g was used for DNA extraction. We used hippocampal samples here as they were collected from house sparrows for the aforementioned study. DNA was extracted in August 2017 using phenol/chloroform/isoamyl and stored at -20&#176;C until sequencing <ref type="bibr">(Green and Sambrook 2001)</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Sequencing</head><p>Sequencing was performed on an Ion Torrent Personal Genome Machine (PGM) at Georgia Southern University Armstrong Campus' facility (Life Technologies). For library creation, we modified a standard GBS protocol for ddRAD and epiRAD sequencing on the Ion Torrent platform (Life Technologies) (ddRAD-seq; n= 64, epiRAD-seq; n = 53-sample sizes by city listed in Table <ref type="table">1</ref>) <ref type="bibr">(Mascher et al. 2013;</ref><ref type="bibr">Schield et al. 2016)</ref>. For ddRAD, we used enzymes MspI and PstI (all enzymes New England Biolabs, Ipswich, MA). For epiRAD, we used enzymes HpaII and PstI. HpaII and MspI cut DNA at the same sequence (CCGG), but HpaII is sensitive to methylation at the restriction site, allowing us to calculate population genetic statistics and compare the presence or absence of methylation among individuals <ref type="bibr">(Schield et al. 2016</ref>). After restriction digestion, we ligated on barcodes and y-adaptors of the Ion Torrent IonXpress sequences. We conducted emulsion PCR following manufacturers protocols of the Ion PGM-Hi-Q-View OT2-200 kit on the Ion Express OneTouch2 platform. We then sequenced resultant fragments following manufacturers protocols of the Ion PGM-Hi-Q-View Sequencing 200 Kit using an Ion 316v2 BC Chip. This process generated two datasets; the genetic ddRAD data that were used to determine epigenetic potential (MspI with PstI), and the epigenetic epiRAD data that were used to measure DNA methylation among HpaII restriction sites (HpaII and PstI).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Genetic Data Quality Control and Analysis</head><p>The ddRADseq reads were demultiplexed within Torrent Suite TM version 4.4.3 (Life Technologies) and were returned in BAM format. The read lengths for each individual were extracted using SAMtools and imported into R (version 3.5.1) <ref type="bibr">(Li et al. 2009</ref>; R: A language and environment for statistical computing 2018). For each of the five cities, a density plot showing the distribution of read lengths against number of reads retained was created (Supplementary Fig. <ref type="figure">S1</ref>).</p><p>The average read length peaked at 75, and all reads fewer than 75 base pairs were removed (Supplementary Fig. <ref type="figure">S1</ref>). Reads were mapped back to the house sparrow genome using BWA using default parameters <ref type="bibr">(Li and Durbin 2009;</ref><ref type="bibr">Elgvin et al. 2017)</ref>. This genome belonged to an individual from an inbred, insular population of house sparrows in their native range <ref type="bibr">(Elgvin et al. 2017)</ref>. The output file from BWA was converted to bam format and sorted. The resulting bam files were used in the STACKS (Version 2.5.3) pipeline, starting with the function "gstacks" to identify variants, followed by "populations" to calculate population genetic statistics <ref type="bibr">(Catchen et al. 2013</ref>).</p><p>Here, we filtered for loci that occurred in a minimum of 60% of individuals using the parameterr 0.6. The Variant Call Format (VCF) file was returned from "populations".</p><p>All CpG and GpC dinucleotides were identified within the mapped reads and the house sparrow genome. To identify gains or losses of a CpG sites, reads were compared with the house sparrow genome. SNPs occurring within a CpG (e.g. CpG -&gt; CpA) or within a GpC (e.g. GpC -&gt; ApC) were considered a loss of that dinucleotide (e.g. loss of an existing CpG site compared to the house sparrow genome). SNPs leading to the formation of a distinct CpG or GpC motif were considered gains (e.g. novel CpG sites compared to the house sparrow genome). In R, CpG sites were relativized to GpC dinucleotides <ref type="bibr">(Fryxell and Moon 2005;</ref><ref type="bibr">Saxonov et al. 2006)</ref>  </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>)</head><p>In all equations, X represents the changing base pair, N represents the number of mutations, and &#8594; represents mutation direction. Linear mixed models were used to ask about the relationship between distance from Mombasa (as a continuous variable) and relativized CpG sites, gains of novel CpG sites, and losses of existing CpG sites using capture city as a random factor (Fig. <ref type="figure">1</ref>).</p><p>Linear mixed models were run in R using the package lme4. To determine whether CpG patterns were artifacts of history as birds moved among comparatively small populations, we used Discriminant Analysis of Principal Components (DAPC) to elucidate population structure using variants called by STACKS <ref type="bibr">(Jombart 2008;</ref><ref type="bibr">Jombart et al. 2010;</ref><ref type="bibr">Catchen et al. 2013)</ref>. Within the R package adgenet, the function "find.clusters" was used to predict the number of genetic clusters.</p><p>The function "dapc" was then run to describe the relationship between clusters. Observed heterozygosity, expected heterozygosity, private allelic sites, and the inbreeding coefficient calculated by STACKS were compared to distance to Mombasa using Pearson correlation coefficients.</p><p>Tajima's D and Fay and Wu's H were calculated for both CpG sites and non-CpG sites for each city to determine whether selection or other mechanisms were driving spatial patterns in epigenetic potential. CpG sites here includes a CpG dinucleotide in which the C or the G position contained a SNP across any individual. Note that other literature refers to non-CpGs as motifs other than CpG sites at which methylation may occur, but here we define non-CpG as any SNP not present in the C or G location of a CpG site or at the loci at which a CpG site was gained or lost. Negative values of Tajima's D suggest selection or population expansion, but cannot distinguish between these alternatives <ref type="bibr">(Tajima 1989)</ref>. However, by incorporating information from an outgroup, Fay and Wu's H can distinguish between selection or expansion and thus was also estimated for each city <ref type="bibr">(Fay and Wu 2000</ref>). Tajima's D and Fay and Wu's H were calculated using both the R package PopGenome (Version 2.7.5) and DnaSP software (Version 6.12.04) using default parameters <ref type="bibr">(Pfeifer et al. 2014;</ref><ref type="bibr">Rozas et al. 2017)</ref>. Both methods returned the same results confirming the calculation accuracy. To perform calculations, we used the "populations" module of STACKS to output consensus sequences for each RAD locus as a FASTA file (converted from a VCF file). In order to calculate Fay and Wu's H, the Eurasian tree sparrow (Passer montanus) was used as an outgroup <ref type="bibr">(Ravinet et al. 2018</ref>).</p><p>To ask whether Tajima's D and Fay and Wu's H changed across the range expansion, we used permutation tests. We randomized the sequence source (sampling city) in the extracted FASTA file. The shuffled file was then used to calculate Tajima's D and Fay and Wu's H for both CpG sites and non-CpG sites. This process was repeated 1000 times (Fig. <ref type="figure">2A</ref>). Next, the Pearson correlation coefficients between the distance from Mombasa and i) Tajima's D and ii) Fay and Wu's H were calculated. This process was repeated 100 times (Fig. <ref type="figure">2B</ref>). Next, the p-value, used to detect significant changes in either metric with distance from Mombasa, was calculated. If the Pearson correlation coefficient calculated on the actual (non-shuffled data) was negative (red line, Fig. <ref type="figure">2B</ref>), the p-value was calculated as the fraction of the Pearson correlation coefficients from the shuffling procedure that fell below the actual value. Conversely, if the Pearson correlation This is the author's accepted manuscript without copyediting, formatting, or final corrections. It will be published in its final form in an upcoming issue of</p><p>The American Naturalist, published by The University of Chicago Press. Include the DOI when citing or quoting: <ref type="url">https://doi.org/10.1086/720950</ref> </p><p>Copyright 2022 The University of Chicago Press.</p><p>coefficient calculated on the actual (non-shuffled data) was positive, the p-value was calculated as the fraction of the Pearson correlation coefficients from the shuffling procedure that fell above the actual value. To avoid bias due to extremely low p-values, the entire procedure (from shuffling to p-value calculation) was repeated an additional 100x to calculate the p-value distribution (Fig. <ref type="figure">2C</ref>).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>DNA Methylation Quality Control and Analysis</head><p>The epiRADseq reads were demultiplexed within Torrent Suite TM and were returned in BAM format and were converted to SAM format using SAMtools <ref type="bibr">(Li et al. 2009</ref>). The resulting SAM file was converted to FASTQ in the Linux environment. The files were filtered using TRIMMOMATIC with default options <ref type="bibr">(Bolger et al. 2014</ref>). The files were mapped to the house sparrow genome using BWA <ref type="bibr">(Li and Durbin 2009)</ref>. The output file from BWA was converted to BAM format and sorted, then converted to a BED file using the function "bamToBed" in BEDTools <ref type="bibr">(Quinlan and Hall 2010)</ref>. Loci mapped by at least one read in all samples in 5 cities were extracted using "mergeBed" in BEDTools <ref type="bibr">(Quinlan and Hall 2010)</ref>. For these extracted loci, 'coverageBed' from BedTools was used to calculate the mapped read counts for every individual.</p><p>Any individual with fewer than 1000 reads was removed from the analysis (Supplementary Fig. <ref type="figure">S2</ref>). Additionally, coverage filtering was performed by comparing the distribution of reads per million mapped reads (RPM) to quantile value to identify extremely high and low coverage loci, which were removed. Specifically, the top 3% of loci or any with less than 10x coverage were removed. A Wilcoxon test with p-value &lt; 0.05 was used to detect loci that exhibited differential RPM between any two of the sampled cities. This step detected 4,518 differentially methylated loci. To investigate the difference among individuals for each locus, and to exclude the RPM fluctuations between different loci, Z-scores were used to normalize the RPM value for each locus among all individuals. Given the number of individuals for each city (generally higher than 10), this resulted in more than 45,180 RPM values (4,518 different loci &#215; number of individuals for each city) for each city. Therefore, we used the median level of normalized RPM to represent methylation level. The minimum level of normalized RPM was removed before calculating the median value for each city. The methylation level was represented as the negative value of calculated median RPM because the absence of a counted fragment indicated the presence of methylation. It is important to note that hippocampal samples were collected after house sparrows spent five days in captivity. While captive housing may have impacted methylation patterns, all birds were exposed to the same duration and conditions of captivity. We hoped to ask about DNA methylation data within genes relevant to range expansions, such as those related to memory and exploration of novel environments, but unfortunately the coarse nature of this sequencing approach made it so very few specific genes or gene regions could be identified <ref type="bibr">(Kilvitis et al. 2017)</ref>. Linear mixed models were used to ask about the relationship between the distance from Mombasa (as a continuous variable) and DNA methylation and the standard deviation of DNA methylation using capture city as a random factor. Linear mixed models were run in R using the package lme4.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Results</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>CpG Sites Across the Range Expansion</head><p>Following quality control, ddRADseq returned 452,465 reads and 1,205 single nucleotide polymorphisms (SNPs) across 257 unique loci. The number of CpG sites was highest towards the range edge and decreased towards the range core (Fig. <ref type="figure">1</ref>  <ref type="figure">S3</ref>).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>DNA Methylation Across the Range Expansion</head><p>Of 14,659 loci, 4,518 loci were differentially methylation between pairs of sampled cities.</p><p>We detected no significant change in DNA methylation or variation in DNA methylation across the range expansion (DNA methylation: &#120573;= -0.0003 (&#177; 0.0002), t= -1.593, p= 0.1112; standard deviation of DNA methylation: &#120573;= 4.9e-05 (&#177; 0.0002), t= 0.2429, p= 0.8081).</p><p>This is the author's accepted manuscript without copyediting, formatting, or final corrections. It will be published in its final form in an upcoming issue of The American Naturalist, published by The University of Chicago Press. Include the DOI when citing or quoting: <ref type="url">https://doi.org/10.1086/720950</ref> </p><p>Copyright 2022 The University of Chicago Press.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Population Statistics and Structure</head><p>Among the five Kenyan cities, observed heterozygosity ranged from 0.160 to 0.258, expected heterozygosity ranged from 0.125 to 0.187, number of private alleles ranged from 0 to 31, and the inbreeding coefficient ranged from -0.115 to -0.029 (Table <ref type="table">1</ref>). None of these variables were related to distance from Mombasa (Supplementary Fig. <ref type="figure">S4</ref>). The DAPC predicted two genetic clusters, yet both clusters contained at least one individual from every city. Collectively, there was little evidence that genetic diversity or founder effects explain geographic patterns in CpG number (Supplementary Figs <ref type="figure">S4</ref> and<ref type="figure">S5</ref>).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Discussion</head><p>Epigenetic potential (i.e. relativized CpG sites) was highest towards the range edge and decreased towards the range core of the house sparrow invasion (Fig. <ref type="figure">1</ref>). Losses of existing and gains of novel CpG sites were unrelated to position along the range expansion. Comparisons of Tajima's D and Fay and Wu's H indices among cities lends support to our hypothesis that positive selection is acting on CpG sites towards the range edge. However, we cannot definitively rule out other processes, including non-random gene flow or the activation of TEs (Fig. <ref type="figure">2</ref>; Table <ref type="table">1</ref>). Both our inability to include Voi (the city located 160 km from Mombasa) due to an insufficient number of SNPs and the relatively small number of cities we had available to study overall require cautious interpretation of the data. Nevertheless, as there was no evidence that genetic artifacts associated with small population size (Table <ref type="table">1</ref>), nor that genetic differentiation among cities alone could explain these patterns (Supplementary Figs S4 and S5), we argue that the distribution of epigenetic potential along the invasion is likely a consequence of selection for phenotypic plasticity capacitated by epigenetic potential. Lastly, we found no pattern of DNA methylation or variation in DNA methylation across the range expansion. Below we discuss the ramifications for these results for house sparrow invasions.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Epigenetic Potential Underlying Phenotypic Plasticity</head><p>Epigenetic potential was highest towards the expanding edge of the Kenyan house sparrow invasion and decreased towards the range core (Fig. <ref type="figure">1</ref>). We propose that this particular pattern arose because epigenetic potential of this form may facilitate phenotypic plasticity via DNA methylation, a trait of great value in new contexts. As CpG sites in genomes represent the places at which methylation can impact gene expression, epigenetic potential could be an important mediator of phenotypic variation, and also can be subject to natural selection and other evolutionary processes <ref type="bibr">(Feinberg and Irizarry 2010;</ref><ref type="bibr">Kilvitis et al. 2017)</ref>. As an analogy, consider two stereo systems: the first has only one knob for volume whereas a second knobs for volume, bass, treble, and balance. Although both stereos produce sound, the second system allows finer tuning, matching better the sound quality to the environment in which it is being played. CpG sites are similar to stereo knobs, except that they are adjusted via DNA methylation; as the environment changes, knobs are turned, increasing or decreasing gene expression and hence adjusting phenotypic plasticity. The elegance of epigenetic potential as a gene regulatory trait is that no knob gets turned until a relevant environmental stimulus occurs. In other words, epigenetic potential may enable phenotypic variation to remain latent until environmental conditions release it.</p><p>In theory, the more CpG sites a genome has (i.e., the more epigenetic potential), the more gene expression may be tuned via DNA methylation to match the environment. This expectation seems reasonable for epigenetic potential in the putative promoter of TLR4, where individuals with high epigenetic potential had greater inducibility and reversibility (in females) of gene expression This is the author's accepted manuscript without copyediting, formatting, or final corrections. It will be published in its final form in an upcoming issue of The American Naturalist, published by The University of Chicago Press. Include the DOI when citing or quoting: <ref type="url">https://doi.org/10.1086/720950</ref> </p><p>Copyright 2022 The University of Chicago Press. <ref type="bibr">(Hanson et al. 2021</ref>). There, epigenetic potential also seemed to imbue birds with tissue-and sexspecific gene expression, which may allow for additional flexibility in response to exposure to bacteria. It would be unreasonable to assume that there will always be a simple linear relationship between CpG sites and gene regulation, and indeed an enormous number of other factors play a role in gene regulation <ref type="bibr">(Lelli et al. 2012)</ref>. Our argument here is simply that, overall, epigenetic potential may represent one measurable form of capacitated phenotypic plasticity, despite its complexities. In support ot this idea, in two species of cnidarians, CpG site density was higher in the promoter regions of genes important for environmental adaptation compared to other functional classes of genes, which may facilitate for the regulation of these genes via DNA methylation <ref type="bibr">(Marsh et al. 2016)</ref>. Additionally, across taxa, the abundance of CpG sites near transcription start sites predicts levels of gene expression <ref type="bibr">(Cheng et al. 2012;</ref><ref type="bibr">Yang et al. 2014)</ref>.</p><p>Further, in humans, the loss of CpG sites correlates with the loss of DNA methylation at that CpG site and sometimes in surrounding CpG sites <ref type="bibr">(Zhi et al. 2013;</ref><ref type="bibr">Zhou et al. 2015)</ref>. It is important to acknowledge we were not able to examine epigenetic potential across genes or gene regions in this study due to the coarse sequencing technique (see methods). Many studies have noted the different functional consequences of CpG sites between gene regions, which may lead to different evolutionary trajectories for CpG sites within these gene regions <ref type="bibr">(Subramanian and Kumar 2003;</ref><ref type="bibr">Cohen et al. 2011;</ref><ref type="bibr">Jones 2012)</ref>. Gene regions should be explored in relation to differences in epigenetic potential in future studies. Despite these complexities, we found a clear pattern of epigenetic potential across the range expansion with CpG sites being most abundant in birds towards the range edge which may imbue more phenotypic plasticity to birds there compared to birds at the range core where birds tend to have fewer CpG sites (Fig. <ref type="figure">1</ref>; <ref type="bibr">(Lande 2015)</ref>).</p><p>This is the author's accepted manuscript without copyediting, formatting, or final corrections. It will be published in its final form in an upcoming issue of The American Naturalist, published by The University of Chicago Press. Include the DOI when citing or quoting: <ref type="url">https://doi.org/10.1086/720950</ref> </p><p>Copyright 2022 The University of Chicago Press.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Possible Processes Contributing to the Distribution of Epigenetic Potential Across Kenya</head><p>Generally, we expect that epigenetic potential predominates in invasions, at range edges, or in other dynamic environments as it could allow for more and faster (within-generation) phenotypic change than through selection on fixed genetic variation. In invasions, there may be a minimum level of epigenetic potential required for any successful colonization or related event;</p><p>initial colonizers may need to harbor relatively high levels of epigenetic potential or die before breeding. As populations age and adapt to the surrounding conditions, we expect that epigenetic potential could decline as the selective advantage of phenotypic plasticity decreases, allowing for fixed genetic variants to predominate. Many natural and anthropogenic introductions fail, and whereas the cause of some failures are obvious, some are not <ref type="bibr">(Zenni and Nu&#241;ez 2013)</ref>. Epigenetic potential might represent a general mechanism whereby some small populations can surmount genetic bottlenecks, the accumulation of rare lethal recessive alleles, or other phenomena associated with the founding of populations <ref type="bibr">(Lee 2002;</ref><ref type="bibr">Taylor and Hastings 2005)</ref>. Some modest level of epigenetic potential might provide just enough latent phenotypic plasticity in contexts where increases in genetic diversity via recombination is impossible. In this light, epigenetic potential might be less of an individual trait promoting adaptation via plasticity and more of a necessity for the viability of small or isolated populations.</p><p>Processes such as the activation of TEs or the mutation of methylated cytosines may contribute to the underlying genetic variation in invasive populations for which evolutionary processes may act upon and lead to differences in epigenetic potential <ref type="bibr">(Bird 1980;</ref><ref type="bibr">Marin et al. 2019</ref>). Whereas we do not have data from the initial colonizers to understand the original distribution of standing variation in epigenetic potential, we hypothesize that as the Kenyan range expansion occurred, house sparrows with high epigenetic potential were more likely to survive and reproduce in relatively novel areas, leading to positive selection on CpG sites, especially towards the range edge. As house sparrow populations ultimately adapt to local conditions, genetically-canalized responses may become more advantageous than plastic ones. Consistent with these hypotheses, CpG sites were more numerous towards the range edge (Fig. <ref type="figure">1</ref>). We found no difference in the losses of existing or gains of novel CpG sites across the range expansion.</p><p>Differing selection pressures for CpG sites across the expansion could be generating these patterns, as Tajima's D values for CpG sites decreased significantly towards the range edge, a trend not shared by non-CpG sites (Fig. <ref type="figure">2</ref>). Although we did not detect a linear decrease in values of Fay and Wu's H for CpG sites or non-CpG sites across the range expansion, we did observe negative values of both Tajima's D and Fay and Wu's H at the range edge, indicating positive selection could be acting on CpG sites, at least in the city of Kakamega (Fig. <ref type="figure">2</ref>, Table <ref type="table">1</ref>). Importantly, extensive admixture has been detected previously among these populations, so even though birds are intermixing among cities, the patterns of CpG sites across the expansion persist <ref type="bibr">(Schrey et al. 2014)</ref>. Further, population genetic statistics do not correlate with distance from Mombasa, indicating that the distribution of epigenetic potential among cities is not obviously an artifact of prior bottlenecks or founder effects (Supplementary Fig. <ref type="figure">S4</ref>). Given the conservative nature of our sequencing approach, the detection of any trends across Kenya (especially patterns of Tajima's D) lends further support to our interpretation; the coarse technique used here returned a largely random subset of the genome based on restriction sites, rather than a battery of sequences from genes related to traits that might facilitate range expansions. Altogether, there is support for selection acting on CpG sites already present in Kenyan house sparrows, leading to their higher frequency at the range edge (Figs. <ref type="figure">1</ref> and<ref type="figure">2</ref>), but we remain cautious in concluding that selection important to range expansions and investigate their patterns directly while also studying additional cities along many range expansions.</p><p>One other potential explanation for the observed patterns of epigenetic potential is the activation of TEs. TEs have been proposed as one mechanism by which the genetic paradox of invasions may be explained, as increased TE activity may increase genetic variation via their replication and insertion across the genome <ref type="bibr">(Stapley et al. 2015;</ref><ref type="bibr">Marin et al. 2019)</ref>. TE activity may be higher under periods of stress, such as that experienced during biological invasions <ref type="bibr">(Dennenmoser et al. 2017;</ref><ref type="bibr">Goubert et al. 2017)</ref>. If range edge individuals experience more stress than range core birds, TE activity may be be higher, leading to a higher rate of TE replication and insertion across the genome <ref type="bibr">(Stapley et al. 2015;</ref><ref type="bibr">Marin et al. 2019)</ref>. The insertion of TEs should increase genetic variation and subsequently epigenetic potential <ref type="bibr">(Marin et al. 2019)</ref>. We find this scenario unlikely, as we found no correlation between population genetic statistics across the range expansion, which would be expected with the addition of genetic variation via TEs (Table <ref type="table">1</ref>).</p><p>Additionally, insertion of new genetic material should also lead to the gain of novel CpG sites. We found no evidence of Kenyan house sparrows gaining CpG sites differently across the range expansion. As we do not have data from the initial colonizers, we cannot completely exclude TEs playing a role in the early house sparrow invasion or in native populations generating genetic variation upon which evolutionary forces may act.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>DNA Methylation Across Kenya</head><p>Across the Kenyan range expansion, we found no detectable pattern of DNA methylation or variation in DNA methylation. As DNA methylation is highly context dependent, with patterns varying among cell types, genes, and gene regions, the absence of a pattern is not surprising (Smith and Meissner 2013; <ref type="bibr">Lanata et al. 2018)</ref>. These results are consistent with a previous study of Kenyan house sparrows, where no detectable methylation signature was found across the range expansion either <ref type="bibr">(Liebl et al. 2013)</ref>. In Australian house sparrows, which are also non-native, methylation differences were found across the sampled cities and these differences were attributed to local environmental conditions <ref type="bibr">(Sheldon et al. 2018)</ref>. We must caution interpretation and reiterate the descriptive nature of our epigenetic results even though we did not detect a pattern, as we could not account for many factors that could have affected DNA methylation, including the time that the house sparrows spent in captivity prior to sampling. Until we can account better for context (i.e., gene, type of stimulus), it will be difficult to interlink epigenetic potential, methylation, gene expression, phenotypic plasticity, and fitness, but this goal is a very important one <ref type="bibr">(Smith and Meissner 2013)</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Conclusions</head><p>Epigenetic potential represents the capacity for DNA methylation to occur within the genome of an individual and thus could in part affect the range of phenotypic plasticity achievable by an organism. While other mechanisms also influence phenotypic plasticity, epigenetic potential may be especially advantageous to initial colonizers and expanding populations, helping them overcome genetic, demographic, and environmental challenges associated with novel areas. Here, we revealed that epigenetic potential follows patterns we would expect; birds towards the range edge tended to have more CpG sites than those from the range core (Fig. <ref type="figure">1</ref>). As CpG sites are genomic motifs, they can be inherited and positively selected, or be subject to other processes such as non-random gene flow <ref type="bibr">(Branciamore et al. 2010)</ref>. Selection seems to be acting on CpG sites at the range edge (Fig. <ref type="figure">2</ref>, Table <ref type="table">1</ref>), but non-random gene flow could also be contributing to the patterns we observed. We found no evidence that trends were artifacts of population structure, founder effects, or genetic bottlenecks. As we had individuals from relatively few cities to consider, we caution over-interpretation, but because we investigated distance from the city of initial introduction into Kenya in relation to CpG content, we think our result implicate epigenetic potential as consequential in this range expansion and perhaps others. Additional studies should be designed to better parse the contribution of selection, non-random gene flow, or other processes that may give rise to differences in epigenetic potential, especially as evolutionary drivers are likely to differ across ecological contexts. Importantly, here, we only considered one form of epigenetic potential <ref type="bibr">(Kilvitis et al. 2017)</ref>. Other forms may also be important and should be investigated in the future. Further, differences in this form of epigenetic potential across gene regions (e.g. gene bodies and promoters) should be examined. Factors direcetly related to range expansion, including predictability and variability in climate, altitude, parasite pressure, and more could also be impacting selection for CpG sites and patterns of DNA methylation. Consequently, future studies investigating additional range expansions as well as response to other environmental contexts will be vital to uncover whether epigenetic potential represents a type of adaptive plasticity. If so, epigenetic potential may be applicable across many fields besides invasion biology.</p><p>Tables <ref type="table">Table 1:</ref> House sparrow sampling locations across Kenya, sample sizes, and estimates of observed heterozygosity (Ho), expected heterozygosity (He), private allelic sites, the inbreeding coefficient (Fis),   the true value was used to calculate p-values. Each p-value is calculated based on 100 permutations of the data. This procedure was repeated an additional 100 times to generate the distribution of pvalues seen here. Note that Voi (160 km) was excluded from these analyses as it lacked the number of SNPs necessary for its inclusion.</p><note type="other">Figure Legends</note></div><note xmlns="http://www.tei-c.org/ns/1.0" place="foot" xml:id="foot_0"><p>This is the author's accepted manuscript without copyediting, formatting, or final corrections. It will be published in its final form in an upcoming issue ofThe American Naturalist, published by The University of Chicago Press. Include the DOI when citing or quoting: https://doi.org/10.1086/720950Copyright 2022 The University of Chicago Press.</p></note>
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