Abstract
The specific mechanisms that result in the success of any species invasion case are difficult to document. Reproductive strategies are often cited as a primary driver of invasive success, with human activities further facilitating invasions by, for example, acting as seed vectors for dispersal via road, train, air, and marine traffic, and by producing efficient corridors for movement including canals, drainages, and roadways. Sahara mustard (Brassica tournefortii) is a facultative autogamous annual native to Eurasia that has rapidly invaded the southwestern United States within the past century, displacing natives, and altering water‐limited landscapes in the southwest. We used a genotyping‐by‐sequencing approach to study the population structure and spatial geography of Sahara mustard from 744 individuals from 52 sites across the range of the species’ invasion. We also used herbaria records to model range expansion since its initial introduction in the 1920s. We found that Sahara mustard occurs as three populations in the United States unstructured by geography, identified three introduction sites, and combined herbaria records with genomic analyses to map the spread of the species. Low genetic diversity and linkage disequilibrium are consistent with self‐fertilization, which likely promoted rapid invasive spread. Overall, we found that Sahara mustard experienced atypical expansion patterns, with a relatively constant rate of expansion and without the lag phase that is typical of many invasive species.
Keywords: desert, genetic diversity, genotyping by sequencing, nextRAD, SNP, southwest
1. INTRODUCTION
Successful invasions often occur when the dispersal barriers that prevent species movement break down (van Kleunen, Dawson, & Maurel, 2015; Mooney & Cleland, 2001; Wilson, Dormontt, Prentis, Lowe, & Richardson, 2009). Following the loss of dispersal barriers, invasives spread and often establish separate geographic populations. By elucidating spatial genetic patterns, one can gain insights into the ecological and evolutionary mechanisms that have enabled the success of invasives (Colautti & Lau, 2015; Cristescu, 2015; Lee, 2002). In particular, understanding the population structure of invasive species can provide insight into the history of dispersal during the colonization and expansion process (Barker, Andonian, Swope, Luster, & Dlugosch, 2017; Durka, Bossdorf, Prati, & Auge, 2005; Eriksen et al., 2014; Peccoud et al., 2008). For example, multiple introductions of the invasive yellow starthistle (Centaurea solstitialis) in North America were identified by examining the species’ population genetics across its invaded range (Barker et al., 2017; Dlugosch, Lai, Bonin, Hierro, & Rieseberg, 2013; Sun, 1997). Similarly, population structure analyses revealed that multiple introductions of the invasive pea aphid (Acyrthosiphon pisum) allowed it to colonize separate host plant species across South America (Peccoud et al., 2008). Population genetic studies of invasive species have often revealed that a mixed set of processes dictate population structure, making it difficult to find a general suite of successful invasive characteristics (Sakai et al., 2001; Simberloff et al., 2013).
Although a variety of characteristics have been used to explain successful invasive species establishment and spread, reproductive strategies are often cited as a primary driver among plants (Burrell et al., 2015; van Kleunen et al., 2015; Richards, Bossdorf, Muth, Gurevitch, & Pigliucci, 2006; Sakai et al., 2001). Indeed, self‐compatibility and other flexible reproductive strategies (e.g., vegetative propagation, apomixis) are common in invasive plant species (Baker, 1955, 1967; Colautti et al., 2005; Dlugosch & Parker, 2008; Pannell et al., 2015; Pappert, Hamrick, & Donovan, 2000). These reproductive systems enable populations to persist and spread from only one or a few individuals (Blackburn, Lockwood, & Cassey, 2015; Cheptou, 2004; Dornier, Munoz, & Cheptou, 2008; Schoen, Morgan, & Bataillon, 1996). Nonetheless, invading species typically undergo an initial lag phase where populations remain small before a relatively sudden range expansion (Bock et al., 2015; Pannell, 2015); the species’ breeding system may determine the length of the lag or ameliorate it altogether (Crooks, 2005; Crooks & Soulé, 1999; Parker, 2004).
Invasions often arise from multiple introduction events. Subsequent admixture can increase invasion success (Dlugosch & Parker, 2008; Durka et al., 2005; Hahn & Rieseberg, 2017; Lombaert et al., 2010) by increasing genetic diversity, thereby decreasing inbreeding depression and potentially enabling adaptation (Barker et al., 2017; Dlugosch, Anderson, Braasch, Cang, & Gillette, 2015; Lavergne & Molofsky, 2007; Lawson Handley et al., 2011; Parker, Rodriguez, & Loik, 2003; Peischl & Excoffier, 2015; Prentis, Wilson, Dormontt, Richardson, & Lowe, 2008; Rius & Darling, 2014). However, there is evidence that not all invasive species experience the negative effects of reduced genetic diversity when initial founder populations are large (Holle & Simberloff, 2005; Roman & Darling, 2007) or when reproductive assurance is provided by self‐fertility (Daehler, 1998; Schoen et al., 1996). Varied scenarios like these may explain why lag phases range from nearly no delay to over 300 years (Crooks & Soulé, 1999). For example, 197 of 257 datasets on invasive species in the Midwest region of the United States exhibited clear lags that ranged from 3 to 140 years while the remaining species showed no sign of a lag phase during the invasion process (Larkin, 2012). These scenarios also highlight that invasion success is in part determined by the standing genetic variation of one or multiple introductions (Estoup & Guillemaud, 2010; Kolbe et al., 2004).
Sahara mustard (Brassica tournefortii; Family: Brassicaceae) is a facultative autogamous (i.e., primarily self‐fertilizes but outcrossing is possible) diploid annual that is native to the Mediterranean basin and much of the Middle East into western India (Aldhebiani & Howladar, 2013; Prain, 1898; Thanos, Georghiou, Douma, & Marangaki, 1991). It is a pest species in agriculture fields in parts of its native range and Australia (Ahmed, Fawzy, Saeed, & Awad, 2015; El‐Saied, El‐Ghamry, Khafagi, Powell, & Bedair, 2015; Salisbury, Potter, Gurung, Mailer, & Williams, 2018), but it also has traditional dietary uses and economic value in regions where it is cultivated (Guarrera & Savo, 2016; Singh, Semwal, & Bhatt, 2015). Sahara mustard is an invasive throughout much of Australia (Chauhan, Gill, & Preston, 2006), South Africa (McGeoch, Kalwij, & Rhodes, 2009), Chile (Teillier, Prina, & Lund, 2014), and more recently, western North America (Li, Dlugosch, & Enquist, 2015). It germinates under a wide range of temperatures, light, soil conditions, and depths (Bangle, Walker, & Powell, 2008; Chauhan et al., 2006; Jurado & Westoby, 1992; Thanos et al., 1991), and it produces seeds rapidly (ca. 50 days from germination; Marushia, Brooks, & Holt, 2012) and in high quantities (Trader, Brooks, & Draper, 2006). These seeds can remain viable at least 1 year after production (Chauhan et al., 2006) and can likely undergo some level of dormancy, similar to desert annuals with which it co‐occurs (Adondakis & Venable, 2004). The seeds contain a mucilaginous film that protect seeds from desiccation and is thought to allow for increased dispersal via roadways, animals, and water (Bangle et al., 2008). Its genome is approximately 791 Mbp (Arumuganathan & Earle, 1991) and is substantially divergent from even its most closely related relatives in the Brassica genus (Sánchez‐Yélamo, Ortiz, & Gogorcena, 1992).
The first documented occurrence of Sahara mustard in the United States comes from an herbarium sample collected near Palm Springs in the Coachella Valley, California in 1927. It may have been introduced as a contaminant of cultivated date palm (Sanders & Minnich, 2000) and remained confined to the Coachella and Imperial Valleys of the Sonoran and Mojave Deserts where it established locally (Musil, 1948, 1950; Robbins, Bellue, & Ball, 1951). Some authors hypothesized a population boom beginning in the 1980s when it spread rapidly throughout the southwest (Sanders & Minnich, 2000), potentially suggesting a lag phase had previously occurred. To date, Sahara mustard's introduction point(s) in the United States remains unknown. Still, Sahara mustard is having ever‐greater impacts on natural ecosystems across the southwestern United States (Barrows, Allen, Brooks, & Allen, 2009; VanTassel et al., 2014). Since its presumed introduction in the 1920s, this invader has become increasingly common in semi‐arid regions, including all counties in Southern California (Sanders & Minnich, 2000) and throughout 500,000 km2 ha in Southwest United States and Northwest Mexico. Although a few ecological studies have examined the species’ performance and impacts in a few invaded areas (Barrows et al., 2009; Li et al., 2015; Marushia et al., 2012; Marushia, Cadotte, & Holt, 2010; VanTassel et al., 2014; Winkler, Gremer, Chapin, Kao, & Huxman, 2018), no research has been conducted to examine the genetic structure of this invasive. Identifying introduction sites and understanding how the species has, and is, spreading via population genomics is a critical first step to elucidating the mechanisms by which species invasions can rapidly occur over large distances.
In this study, we use genotyping by sequencing to generate genome‐wide polymorphism data from across the invaded range of Sahara mustard in the western United States. We used these data along with historical distribution records to answer three questions: What is the current population structure of the species throughout its invaded range? What does population structure imply about the number of introductions and their locations? Has the geography and ecology of the western United States shaped the species distribution? Given anecdotal evidence and invasion studies of other species, we expected distribution records to reveal a lag phase as Sahara mustard established and spread in the United States. We also expected Sahara mustard to have low genetic diversity given that the species can self‐fertilize. We posit both that multiple introductions are likely and that population structure has been shaped by ecosystems across the invaded range.
2. MATERIALS AND METHODS
2.1. Historical range expansion
We utilized distribution and locality records from herbaria to examine the geographic spread of Sahara mustard in North America through time. We realize these data often provide an incomplete picture of a species range perhaps due to uneven collection efforts that do not accurately represent invasion patterns (Williamson, 2006). Nevertheless, distribution records can provide insights into invasion patterns and can be considered a conservative underestimate of range expansion (Crawford & Hoagland, 2009; Delisle, Lavoie, Jean, & Lachance, 2003). We obtained 2,834 records with collection dates and spatial data from three online databases: the Consortium of California Herbaria (http://ucjeps.berkeley.edu/consortium/), the Global Biodiversity Information Facility (http://www.gbif.org), and the Southwest Environmental Information Network (http//:swbiodiversity.org/seinet/index.php). We also included observation data from our field collections, bringing our total number of localities to 2,915.
We estimated the spread of Sahara mustard populations using distribution record locality data by counting the number of spatial units that the species occupied across time (1927–2016). Spatial units were delimited by rounding geographic degrees to the nearest hundredth. Thus, records were classed into ca. 1 km2 units across the invaded range. We created accumulation curves of the number of spatial units occupied by Sahara mustard per year. Ranges are expected to expand exponentially, but lag phases can alter this curve (Crawford & Hoagland, 2009; Crooks, 2005). As such, we tested for a lag phase by examining fit of a linear regression on log10 transformed cumulative range expansion, estimated by herbaria records, while acknowledging that these rates are likely conservative underestimates given the inherent biases often found in herbaria records (Delisle et al., 2003).
2.2. Sampling and genotyping
In Spring 2015, we sampled 7–20 (with an average of 14) individuals each from 52 locations (760 individuals total) spanning a ca. 10° latitudinal and ca. 15° longitudinal gradient across the species’ invaded U.S. range in Spring 2015 (Figure 1; Table S1). Sites ranged from coastal Mediterranean to hot desert ecosystems with elevation ranging 0–1500 m asl (Table S1). Tissue for genetic analyses was desiccated with silica gel for preservation.
Figure 1.

Map of sampling sites in California, Arizona, New Mexico, Texas, Nevada, and Utah. Numbers correspond to the following site names referenced in Table S1: (1) Irvine, (2) Anza1, (3) Anza2, (4) Salton City, (5) El Centro, (6) Ocotillo, (7) San Diego, (8) Coachella, (9) Glamis, (10) Blythe, (11) Parker, (12) JOTR1, (13) JOTR2, (14) MOJA1, (15) Ibis, (16) Leeds, (17) MormonPk, (18) LAKE1, (19) Amargosa, (20) Beatty, (21) Las Vegas, (22) MOJA2, (23) MOJA3, (24) MOJA4, (25) Aguila, (26) Phoenix1, (27) Phoenix2, (28) Tortilla Flat, (29) Roosevelt, (30) Fort Apache, (31) Las Cruces, (32) Fort Hancock, (33) El Paso, (34) Dragoon, (35) SAGU1, (36) SAGU2, (37) Malibu, (38) Nipomo, (39) Chaney Ranch, (40) Murray, (41) Bakersfield, (42) Victorville, (43) JOTR3, (44) Palm Springs, (45) Anza3, (46) DEVA, (47) Dateland, (48) Gila Bend, (49) Rocky Pt, (50) ORPI1, (51) ORPI2, (52) ORPI3
We extracted DNA from 760 individuals from 52 populations using QIAGEN DNeasy Plant Mini Kits (Qiagen). We estimated DNA concentrations via fluorometry (Qubit 2.0 Fluorometer, Invitrogen, Life Technologies) and tested DNA quality for a subset of samples via 1% agarose gel electrophoresis. Single nucleotide polymorphism (SNP) data were generated via nextRAD (Nextera‐tagmented, reductively amplified DNA) sequencing (Russello, Waterhouse, Etter, & Johnson, 2015; libraries were prepared and sequenced by SNPsaurus, LLC). NextRAD uses short oligonucleotide primers to amplify arbitrary loci across genomic samples. Primers were integrated into the Nextera library preparation protocol (Illumina, Inc), which also ligates short adapter sequences to the ends of the DNA fragments. DNA fragments with one of the primers matching the adapter sequence were then amplified, and pooled samples were barcoded before purification and size selected from 350 to 500 bp. Multiplexed segments were sequenced on an Illumina HiSeq2000 platform (Genomics Core Facility, University of Oregon) producing 100 bp single read lengths.
Raw sequence data were processed using Trimmomatic software (Bolger, Lohse, & Usadel, 2014) to remove adapter sequences and filter sequences less than 50 bp. Sequences were quality‐filtered using the program process_radtags in STACKS (Catchen, Amores, Hohenlohe, Cresko, & Postlethwait, 2011; Catchen, Hohenlohe, Bassham, Amores, & Cresko, 2013). Sequences with at least 15–2,500× coverage and those that were present in at least 10% of samples were retained. To exclude paralogs, loci were removed if more than two alleles were found in a sample in more than 5% of a sampling locality (Hare, 2001; Russello et al., 2015). The remaining sequences were then mapped to a reference created using abundant reads across the combined set of samples using the program BBmap v.35.40 (http://sourceforge.net/projects/bbmap; sensu Russello et al., 2015). A total of 16 individuals were removed from the final dataset due to >75% missing data. In total, 1,525 SNPs were identified across the 744 sequenced individuals. We took 1,000 reads randomly from each sample for comparison to known sequences in the NCBI database via BLAST (https://blast.ncbi.nlm.nih.gov/Blast.cgi) to test for contamination from species other than Sahara mustard. No plausible contamination was detected in the tested reads.
2.3. Genomic analyses
We first estimated the number and location of genetic clusters using the spatial Bayesian clustering algorithm implemented in TESS 2.3.1 (Chen, Durand, Forbes, & François, 2007; Durand, Jay, Gaggiotti, & François, 2009). TESS uses spatial locations of samples to construct a neighborhood network of individuals to measure spatial patterns of genetic relatedness; a suitable method for selfing species compared to other population assignment programs (Fogelqvist, Niittyvuopio, Ågren, Savolainen, & Lascoux, 2010). We used the admixture model (CAR) set at the default spatial interaction parameter ψ = 0.6 with a burn‐in length of 10,000, a run length of 50,000, and performed 10 iterations of k = 2–10. Deviance information criterion was averaged and plotted for each k to select the optimum number of clusters (sensu Chen et al., 2007). We plotted mean membership scores per sampling site as admixture proportions following François (2016). We visualized mean membership of sample sites using the LEA R package (Frichot & François, 2015). We used the mean membership values from the ten TESS runs of the optimal k value to visualize admixture at each site by overlaying results onto a map of the sampling range.
As a compliment to TESS analyses, we visualized the population structure of sequenced individuals using a principal component analysis (PCA) that constructs population differentiation relationships (François et al., 2010; Gross, Hosoya, & Queloz, 2014; Ma & Amos, 2012). We then calculated the number of overall and per‐cluster rare variants (minor allele frequency <10%) to identify the most likely origins of clusters identified by TESS (Cubry, Vigouroux, & François, 2017). To accomplish this, we interpolated the density of rare variants on a map of the invaded area using a kriging approach without trend surface in the fields R package (Nychka, Furrer, & Sain, 2017) in order to estimate likely ancestral regions of Sahara mustard in the United States (Alvarado‐Serrano & Hickerson, 2018; Cubry et al., 2017). We also calculated the density of rare variants by site distance from the putative introduction sites using local regression in R.
We also grouped localities by ecoregions (Table S1) and used a hierarchical analysis of molecular variance (AMOVA) to estimate the variance within and between localities and ecoregions (Excoffier, Smouse, & Quattro, 1992). We estimated overall linkage disequilibrium with (a measure of the index of association that accounts for sample size; Agapow & Burt, 2001) as an indicator of selfing (Ingvarsson, 2002; Nordborg, 2000). We calculated inbreeding coefficients (F is) for each site and to calculate population‐level selfing rates (S = 2F is/(1 + F is)) and levels of outcrossing (T = 1 − S; Hedrick, 2011; Wright, 1921). We calculated the number of private alleles in each population to examine levels of isolation between groups. Analyses were executed in R 3.3.2 with the adegenet, pegas, and poppr packages (Jombart & Ahmed, 2011; Kamvar, Tabima, & Grünwald, 2014; Paradis, 2010; R Core Team, 2014).
3. RESULTS
3.1. Historical range expansion
We used 2,915 historic and contemporary locality records to study the history of Sahara mustard's range expansion. By interpolating the year of sampling with its geographic range, we infer that Sahara mustard underwent an atypical invasion with no detectable lag phase and a relatively constant postintroduction expansion pattern (Figure 2). A linear regression of year predicting log10 cumulative range expansion showed excellent fit (b = 0.0823, R 2 = 0.93, F 1,57 = 808.1, p < 0.001), consistent with the lack of a lag phase in the history of the invaded range. Herbaria records tracked the spread of Sahara mustard to Tucson, Arizona in the late 1940s, coastal California in the late 1950s, and more recently to Texas, Nevada, New Mexico, and Utah. Overall, Sahara mustard's range based on sampling sites currently stretches approximately 500,000 km2 based on herbaria records and our field sampling (Figure 1). This is an underestimate of the species range given that sampling was carried out in 2015 for this current analysis, and expansion has likely occurred since then. The most dramatic change occurred as Sahara mustard was identified as a management concern—especially after 2000. Overall observed expansion patterns have slowed since 2010 and might be reaching a stable distribution, perhaps due to environmental constraints. However, the apparent slowing of expansion could be caused by collection effort biases (Figure 2; Video S1; Cousens & Mortimer, 1995), due to rapid roadway sampling that occurred in 2004–2005 (https://www.cal-ipc.org/solutions/research/saharan/).
Figure 2.

Estimated range expansion of Sahara mustard (Brassica tournefortii) using herbaria records with a linear regression of years (1927–2016) predicting the log10 cumulative observations of the species’ range in unique ca. 1 km2 areas (b = 0.0823, R 2 = 0.93, F 1,57 = 808.1, p < 0.001). Arrows indicate the first occurrence of Sahara mustard in each state: California (CA), Arizona (AZ), Texas (TX), Nevada (NV), New Mexico (NM), and Utah (UT)
3.2. Population structure
We gathered 744 plants from 52 locations and identified 1,525 SNPs that we analyzed with the program TESS, in order to identify potential population structure. TESS analyses revealed population structure across the invaded range of Sahara mustard, with three genotypic clusters (Figures 3a and S1). Cluster 1 included plants from across most of the species invaded range; Cluster 2 was focused on Palm Springs in the Coachella Valley but also included isolates from Coachella, CA, Parker, AZ, and Roosevelt, AZ; Cluster 3 was limited to Nipomo, CA. TESS also identified apparent admixture occurring between Clusters 1 and 2. Individuals from Palm Springs, CA had the highest probability of assignment to Cluster 2, but the Coachella, CA, Parker, AZ, and Roosevelt, AZ sites also had some significant probability of assignment to this cluster (Figure 3a). Overall, TESS analyses revealed that three genetically distinct populations exist in the United States based on the sites we sampled but that some individuals exhibited multiple assignment to Clusters 1 and 2. This was evidenced by replicates of each K value separating Clusters 2 and 3 sites from Cluster 1 across all runs of K (Figure S1). The mean log probability of the data increased with the successive addition of clusters to K = 3, after which it plateaued. Cluster 3 contained 303 private alleles that were found nowhere else in the invaded range while Cluster 1 had only 40 private alleles and Cluster 2 had 1 (Table 1), suggesting levels of isolation between populations vary.
Figure 3.

(a) Individual assignments from TESS analyses based on 1,525 SNP loci of 744 individuals from across the invaded range of Sahara mustard (Brassica tournefortii). Barplots are averaged across ten runs of the highest likely number of clustered predicted to be K = 3. (b) Map illustrating average assignment probabilities to each cluster from TESS analyses (pie chart colors: Cluster 1 = green, Cluster 2 = red, and Cluster 3 = blue). Clusters 2 and 3 are named by sampling site. Site names correspond to those referenced in Table S1
Table 1.
Summary statistics for each cluster as defined by TESS results
| Population | n | H o (±SE) | H e (±SE) | F is | S | T | Private |
|---|---|---|---|---|---|---|---|
| Cluster 1 | 668 | 0.0577 (±0.0065) | 0.0697 (±0.0041) | 0.8425 | 0.9145 | 0.0855 | 40 |
| Cluster 2 | 68 | 0.0565 (±0.0066) | 0.0562 (±0.0039) | 0.7827 | 0.8778 | 0.1222 | 1 |
| Cluster 3 | 12 | 0.0551 (±0.0066) | 0.0356 (±0.0038) | 0.7865 | 0.8805 | 0.1195 | 303 |
n = number of individuals analyzed, H o (±SE) = the observed heterozygosity for SNPs, H e (±SE) = the expected heterozygosity for SNPs, F is = index of fixation, S = selfing rate, T = outcrossing rate, and private = the number of private alleles. Standard errors are reported parenthetically.
Mapping the mean TESS assignment probabilities (= admixture coefficients) revealed no clear spatial patterns across the invaded range (Figure 3b). Cluster 1 was dominant throughout the entire invaded range and also occurred within sampling sites primarily assigned to the other clusters. The Nipomo, CA site was the only one with individuals assigned to Cluster 3. That being said, ca. 3% of individuals also exhibited multiple assignment with Cluster 1 (Figure 3b). This was a similar pattern for the Cluster 2 sampling sites but with varying degrees of assignment probabilities. The Palm Springs, CA site had the highest assignment probability to Cluster 2, followed by Coachella, CA, Parker, AZ, and Roosevelt, AZ exhibiting declines in Cluster 2 assignments as geographic distance increased from Palm Springs. Given this, the presumed Coachella Valley introduction site (Sanders & Minnich, 2000) is likely identified as Cluster 2, with a shift in genetic identity toward the more widespread genotype seen in Cluster 1.
PCA revealed similar population structure across the invaded range of Sahara mustard but suggested more admixture than TESS (Figure 4). PC1 highlighted Cluster 1 (16.8% of variance; Figure 4a) and PC2 clearly identified Cluster 2 (7.4% of variance; Figure 4b). Lastly, PC3 identified the most divergent site: Nipomo, CA (Cluster 3; 5.3% of variance; Figure 4c). The AMOVA attributed most of the genetic variance to within‐locality variation, but variance between localities was also significant, indicating some population structure (Table 2). Despite this, practically no variance was explained by ecoregion (Table S1), consistent with our TESS results (Table 2).
Figure 4.

Principal component analysis (PCA) maps of Sahara mustard (Brassica tournefortii) in its invaded range. (a) PC1 highlights the largest population (= lowest, blue‐colored sites) and earliest introduction of Sahara mustard in the United States. (b) PC2 shows the grouping of the second introduction around Palm Springs in the Coachella Valley of California. (c) PC3 shows the most recent introduction restricted to Nipomo, CA
Table 2.
Hierarchical analysis of molecular variance (AMOVA) of Brassica tournefortii in the North American invaded range
| σ | % variance | ɸ | p | |
|---|---|---|---|---|
| Within localities | 59.68 | 74.88 | 0.05 | <0.001 |
| Between localities | 16.12 | 20.23 | 0.21 | <0.001 |
| Between regions | 3.90 | 4.89 | 0.05 | 0.094 |
Most variance occurs within localities, while ecoregions explain almost no variance, indicating a lack of selection pressure across the invaded range.
Nipomo, CA (Cluster 3) contained the highest number of rare variants which, combined with assignment probabilities from TESS, suggested that this is the most recent introduction of Sahara mustard and has yet to spread out of this area (Figure 5a). Removing Nipomo's rare variants from the PCA suggested a second introduction with a likely origin for Cluster 2 near Palm Springs, CA in the Coachella Valley (Figure 5b). Individuals from this site had a high number of rare variants but ca. 25% less than observed in Nipomo, CA (Figure 5b). Consistent with TESS results, the PCA showed admixture among Clusters 1 and 2. Further, genes from Cluster 2 propagated over relatively long distances into Arizona (Figure 5b). However, which sites contained admixed individuals differed slightly between TESS and the PCA but both analyses suggested sites in the Coachella Valley (Palm Springs and Coachella) share ancestry with Parker, AZ (Figures 3 and 5). Removing Cluster 2 rare variants revealed the most likely original introduction point for Cluster 1 was near Malibu, CA because the density of rare variants generally decreased with geographic distance from the Malibu site (Figure 5c). This is further supported by a lack of admixture in Cluster 1.
Figure 5.

Density of rare variants indicating introduction sites in the invaded range of Sahara mustard (Brassica tournefortii). (a) Complete dataset highlighting Nipomo, CA as the most recent introduction site, with a decrease in rare variant density with distance from Nipomo (inset); (b) excluding the Nipomo, CA variants reveals Palm Springs in the Coachella Valley of California as the most likely origin for Cluster 2, with a decrease in rare variant density with distance from Palm Springs, CA (inset); (c) excluding all but the largest population (Cluster 1) highlights Malibu, CA as the most likely introduction point, with rare variant density generally decreasing with distance from Malibu (inset)
3.3. Genetic diversity and selfing
Linkage disequilibrium and overall genetic diversity were low across the invaded range of Sahara mustard ( = 0.120, p = 0.009; Table S2). Further, nearly all sites had slightly lower levels of heterozygosity than expected but this was not the case at the population level (Table 1). Cluster 1 exhibited the highest levels of inbreeding (F is = 0.8425) and selfing (S = 0.9145), and the lowest levels of outcrossing (T = 0.0855). Cluster 2 exhibited lower levels of inbreeding (F is = 0.7827), selfing (S = 0.8778), and higher levels of outcrossing (T = 0.1222) than Cluster 1. Cluster 3 exhibited similar levels of fixation (F is = 0.7865), selfing rates (S = 0.8805), and outcrossing rates (T = 0.1195) to Cluster 2; suggesting Clusters 2 and 3 are utilizing more of a mixed breeding system of self‐fertilization and outcrossing. That being said, all three populations appear to overwhelmingly self‐fertilized (Table 1).
4. DISCUSSION
Our study suggests Sahara mustard exists as three populations in the United States. The rapid spread and low genetic diversity of Sahara mustard are likely promoted by self‐fertilization, consistent with the observed expansion patterns and estimated selfing rates. The unusual spatial structure of non‐native Sahara mustard populations is most consistent with multiple introductions at Nipomo, Palm Springs, and Malibu, CA. Our work also suggests that subsequent range expansions have resulted in admixture among populations, which contributes to complex population structure. Despite these multiple inferred introductions, genetic diversity is generally low throughout the sampled locations and ecoregions. Low genetic diversity is likely the result of high self‐fertilization rates combined with founder effects, as suggested by other studies that have found self‐fertilization to be an important trait for colonization and rapid population expansion (Kalisz, Vogler, & Hanley, 2004; Levin, 2010; Lott, Volin, Pemberton, & Austin, 2003). We also showed that the invasion had no major lag phase, which surely accelerated its spread across the US Southwest (Crooks, 2005). Overall, we showed that Sahara mustard was most likely first introduced in the Malibu, CA area, with subsequent, independent introductions near Palm Spring, CA in the Coachella Valley and, most recently, near Nipomo, CA. Taken together, our population genomics analyses suggest that reproductive strategies and multiple introductions enabled Sahara mustard to colonize the diverse range of habitats despite the evolutionary roadblocks common to most invasions (Hargreaves & Eckert, 2014).
The reproductive strategies invasives employ are a primary driver of invasive success (Baker, 1955; Richards et al., 2006; Sakai et al., 2001). In this case, it is possible that mixed breeding systems within a species, in particular Sahara mustard's facultative autogamy, can speed the spread of invasive species by reducing inbreeding and other negative consequences that would normally affect obligate selfing species during colonization (Ansell, Grundmann, Russell, Schneider, & Vogel, 2008; Arnaud‐Haond et al., 2006; Daehler, 1998; Morgan, Wilson, & Knight, 2005; Saltonstall, 2003). Our results are consistent with the ability of a self‐fertilizing plant to rapidly expand its invaded range within decades. Self‐fertilization reduces the role of biotic interaction (i.e., does not require pollinators or sexual partners) and can promote establishment and spread (Baker, 1967; Barrett, Colautti, & Eckert, 2008; Pannell, 2015; Pannell et al., 2015). For example, Spartina alterniflora are cross‐pollination limited in the San Francisco Bay area of California and individuals that have high selfing rates also produce high viable seed sets compared to nonselfing individuals (Daehler, 1998). This is similar to patterns we observed in our current study and matches previous work showing Sahara mustard aligns its reproductive efforts based on ecological site factors (Winkler et al., 2018).
Invasive species traits and their relative importance oftentimes vary as a non‐native species goes through the phases of introduction, establishment, and spread (Bock et al., 2015; Bock, Kantar, Caseys, Matthey‐Doret, & Rieseberg, 2018; Hodgins, Bock, & Rieseberg, 2018; Pannell, 2015; Winkler et al., 2018) but reproductive strategies remain important throughout (Sakai et al., 2001). Self‐fertilization coupled with high propagule pressures can further reduce the potential negative impacts of inbreeding by increasing chances of establishment (Hargreaves & Eckert, 2014; Levin, 2010). A single Sahara mustard plant invests heavily in reproductive structures, can produce over 16,000 seeds, and disperses across relatively large distances via animals, wind, water, and roadways (Bangle et al., 2008; Berry, Gowan, Miller, & Brooks, 2014; Sánchez‐Flores, 2007; Trader et al., 2006; Winkler et al., 2018). It is likely that even if a small number of Sahara mustard were initially introduced into the United States, the species’ huge reproductive investments in offspring (Winkler et al., 2018) enable it to maintain adequate population sizes to overcome bottlenecks and establish itself at least locally (Lockwood, Cassey, & Blackburn, 2005). We observed 87%–91% selfing rates which are similar to results obtained in studies on other invasive plants (Kleunen, Fischer, & Johnson, 2007; Lott et al., 2003). Further, our analyses of herbaria records corroborate this by suggesting that a self‐compatible species is capable of avoiding the typical lag phase most invasives experience (Crooks, 2005; Crooks & Soulé, 1999; Parker, 2004). Expansion load, or the accumulation of deleterious mutations during range expansion, can prevent species from colonizing new environments if local adaptation has not occurred (Gilbert et al., 2017; Peischl & Excoffier, 2015). However, self‐fertilization can overcome these potentially expansion‐halting effects depending on the severity of the abiotic filters associated with establishment at a given site and inbreeding effects (Hamilton, Okada, Korves, & Schmitt, 2015; Hargreaves & Eckert, 2014; Pannell et al., 2015). Additionally, phenotypic plasticity may play a role in the species success across such broad environmental gradients (Richards et al., 2006), though no studies to date have identified plastic versus phenotypic variation. However, previous studies have revealed Sahara mustard occupies a wide breadth of environmental gradients and persists likely as a result of its ability to align various phenological, physiological, and morphological strategies across a broad range of environmental conditions (Winkler et al., 2018). A fruitful future direction should investigate whether self‐fertilization may have helped Sahara mustard overcome the severe environmental gradients it encounters across in the United States.
Attempts have been made to predict Sahara mustard's presence and abundance under future climate scenarios (Curtis & Bradley, 2015). Conservative models predict a considerable decline in suitable habitat, while less conservative models predict continued expansion (Curtis & Bradley, 2015). However, these models were limited by herbaria records and survey data that are biased by survey effort and timing and, in some cases, are not representative of the full extent of Sahara mustard distribution in the United States (Delisle et al., 2003; Williamson, 2006). Li et al. (2015) found that environmental variables of the native and invasive range of Sahara mustard are similar, suggesting that the species has not adapted to novel environments. However, these conclusions assume that the full suite of adapted genotypes from the native range was introduced in the invaded range. In fact, Sahara mustard natively occurs across a diverse geographic range that includes much of the Mediterranean basin and the Middle East into western India (Aldhebiani & Howladar, 2013; Prain, 1898; Thanos et al., 1991). Given that introduced species are often representative of a small regional population from the native range (Barker et al., 2017; Dlugosch & Parker, 2008; Lombaert et al., 2010), it is unlikely that the founding population would be perfectly adapted to the diversity of ecosystems in the invaded range. Our study reveals that Sahara mustard may have been introduced multiple times to California, which is particularly threatening to native systems, as admixture can produce novel genotypes, which might promote range expansion if it were to occur (Hahn & Rieseberg, 2017).
We generally detected low levels of genetic diversity across the invaded range of Sahara mustard; a pattern similar to other invasive species studied including those with mixed‐mating systems (i.e., Lott et al., 2003) and clonal species (Pappert et al., 2000; Sakai et al., 2001). This was consistent with our expectation, since facultatively self‐fertilizing species like Sahara mustard should experience reduced genetic diversity via reduced effective recombination and increased homozygosity (Charlesworth, 2003). Samples from the site at Nipomo, CA, however, showed considerable divergence from the rest of the range. This was likely caused by a recent introduction of Sahara mustard sometime after the second, Coachella Valley introduction (sensu Chen, Opp, Berlocher, & Roderick, 2006). If this is the case, the population in Nipomo, CA should receive high priority for eradication given that it is in initial invasion stages pre‐expansion. Further, the population has potential to hybridize with the other populations that, from experience with other invaders (e.g., Barker et al., 2017; Suarez & Tsutsui, 2008), could enable further range expansion. As is, the Nipomo population appears to be relatively isolated but should still be treated with concern given that humans are likely facilitating the species dispersal (Berry et al., 2014; Sánchez‐Flores, 2007; Trader et al., 2006). However, it is also possible that multiple genotypes were introduced in and around Nipomo, CA and only a subset was able to spread (Dlugosch & Parker, 2008; Lombaert et al., 2010). Further, we detected a decreasing number of rare variants with distance from the each of the presumed introductions in California. Rare variants have often been used to infer gene flow, migration, and connectivity of populations (Cubry et al., 2017; Genton, Shykoff, & Giraud, 2005; Pappert et al., 2000; Slatkin, 1985; Walker, Hulme, & Hoelzel, 2003); and our results suggest that a radiation away from Malibu and out of the Coachella Valley has occurred and also suggest isolation occurring at sites where the number of private alleles is high (Rollins, Woolnough, Wilton, Sinclair, & Sherwin, 2009; Verhoeven, Macel, Wolfe, & Biere, 2011). These sites should be targeted as high priority for land managers as they may enable localized control of these populations and could prevent future mixing with other populations (Rollins et al., 2009).
Sahara mustard has a similar invasion history in Australia where it was introduced in the early 1900s and is presumed to have dispersed via the transcontinental railroad (Kloot, 1987). The first record of Sahara mustard in the United States dates back to 1927 (Sanders & Minnich, 2000). Additional records of the species were relatively infrequent and concentrated to the deserts of southern California until around the 1970–1980s when it began appearing in neighboring states. Although the herbaria records we analyzed are intrinsically a subset of the actual occurrences of Sahara mustard, they suggest the species did not undergo a typical lag phase and, instead, was able to expand its range at a somewhat constant rate after its introduction, likely promoted by the species’ breeding system. That being said, lag phases are identified by slow range expansion early in the introduction; it could be that Sahara mustard is in the midst of a lag phase, in which case we expect rapid and wide expansion to occur in the western United States, given its prelag success. Since humans are facilitating the spread of Sahara mustard in the United States, it is unsurprising that the diversity has remained low across such a large range and that there are no clear genetic separations between populations. This low level of genetic diversity is the expected result of self‐fertilization coupled with human‐mediated dispersal. We expected population structure via vicariance or environmental variation but found that population structure seems to have been more affected by dispersal patterns. This includes human‐mediated dispersal, particularly roadways promoting long‐distance travel of seeds (Berry et al., 2014; Sánchez‐Flores, 2007; Trader et al., 2006). Our results are consistent with this dispersal mode, as evidenced by the species’ expansion from the Coachella Valley region of CA to sites as far away as Parker and Roosevelt, AZ (Figure 3).
In summary, our study is the first to document the genetic patterns of Sahara mustard's invasion in the United States and reveals the species exists as three populations with low levels of diversity—likely the result of self‐fertilization, combined with human‐mediated dispersal. The native range origins of these introductions remain unidentified. Future research is needed that will apply similar population genetic methods in the species’ native range to identify source populations and reconstruct the species’ invasion history globally. It will also be valuable to investigate the genetics of herbarium samples in the invaded ranges of the species to better understand invasion dynamics of this species. Successful management efforts will likely be achieved if human‐mediated spread is curtailed along roadways first, with special focus on newly introduced populations like that at Nipomo, CA, which have not yet expanded. Future introductions should be expected, necessitating further investigation as new localities are discovered. Additionally, future research focusing on phenotypic plasticity is needed to reveal the strategies that enable Sahara mustard to invade multiple environments despite low genetic diversity.
CONFLICT OF INTEREST
None declared.
AUTHOR CONTRIBUTIONS
D.E.W. conceived of and designed the project with help from T.E.H., K.J.C., and J.D.G. Additionally, D.E.W. and K.J.C. carried out field and laboratory work. D.E.W., K.J.C., and O.F. performed analyses and drafted the manuscript with T.E.H. All authors contributed to writing the final version of the manuscript.
Supporting information
ACKNOWLEDGMENTS
This research was supported by the Tubb Canyon Desert Conservancy, the Robert Lee Graduate Student Research Grant through the Joshua Tree National Park Association, the Howie Wier Memorial Conservation Grant through the Anza‐Borrego Foundation, the Forrest Shreve Student Research Fund through the Ecological Society of America, the Mildred E. Mathias Graduate Student Research Grant through the UC Natural Reserve System, the Mayhew Graduate Research Award through the Boyd Deep Canyon Desert Research Center, a Graduate Assistance in Areas of National Need Research Grant (GAANN), UCI's Department of Ecology & Evolutionary Biology, the UCI Data Science Initiative at the University of California, Irvine, and the Victor and Virginia Voth Family Trust. Plant material was collected under the following permits from the National Park Service: DEVA‐2015‐SCI‐0015, JOTR‐2015‐SCI‐0015, LAKE‐2015‐SCI‐0005, MOJA‐2015‐SCI‐0021, and ORPI‐2015‐SCI‐0004. Thanks to M. Barker, A. Collins, C. Bell, K. Dlugosch, J. Dong, G. Ferguson, R. Gaut, M. Goulden, P. Holm, S. Hug, D. Hughson, A. Kaiser, M. Kao, A. Kearns, M. Li, K. Lund, R. Massatti, K. Mooney, V. Olson, J. Ross‐Ibarra, K. Roessler, A. Sakai, T. Scott, L. Smith, R. Staehle, C. Vagnier, S. Weller, and W. Yang.
Winkler DE, Chapin KJ, François O, Garmon JD, Gaut BS, Huxman TE. Multiple introductions and population structure during the rapid expansion of the invasive Sahara mustard (Brassica tournefortii). Ecol Evol. 2019;9:7928–7941. 10.1002/ece3.5239
Data Availability Statement: Molecular data used in these analyses are available as a NCBI's sequence read archive (BioProject for B. tournefortii: PRJNA534338), subject to a 1‐year embargo period postpublication.
DATA AVAILABILITY STATEMENT
Molecular data used in these analyses are available as a NCBI's sequence read archive (BioProject for B. tournefortii: PRJNA534338), subject to a 1‐year embargo period postpublication.
REFERENCES
- Adondakis, S. , & Venable, D. L. (2004). Dormancy and germination in a guild of Sonoran Desert annuals. Ecology, 85, 2582–2590. 10.1890/03-0587 [DOI] [Google Scholar]
- Agapow, P. M. , & Burt, A. (2001). Indices of multilocus linkage disequilibrium. Molecular Ecology Notes, 1, 101–102. 10.1046/j.1471-8278.2000.00014.x [DOI] [Google Scholar]
- Ahmed, D. A. , Fawzy, M. , Saeed, N. M. , & Awad, M. A. (2015). Effect of the recent land use on the plant diversity and community structure of Omayed Biosphere Reserve, Egypt. Global Ecology and Conservation, 4, 26–37. 10.1016/j.gecco.2015.05.005 [DOI] [Google Scholar]
- Aldhebiani, A. Y. , & Howladar, S. M. (2013). Floristic diversity and environmental relations in two valleys, south west Saudi Arabia. International Journal of Science and Research, 4, 1916–1925. [Google Scholar]
- Alvarado‐Serrano, D. F. , & Hickerson, M. J. (2018). Detecting spatial dynamics of range expansions with geo‐referenced genome‐wide SNP data and the geographic spectrum of shared alleles. bioRxiv, 457556. [Google Scholar]
- Ansell, S. W. , Grundmann, M. , Russell, S. J. , Schneider, H. , & Vogel, J. C. (2008). Genetic discontinuity, breeding‐system change and population history of Arabis alpina in the Italian Peninsula and adjacent Alps. Molecular Ecology, 17, 2245–2257. [DOI] [PubMed] [Google Scholar]
- Arnaud‐Haond, S. , Teixeira, S. , Massa, I. , Billot, C. , Saenger, P. , Coupland, G. , … Serrao, E. A. (2006). Genetic structure at range edge: Low diversity and high inbreeding in Southeast Asian mangrove (Avicennia marina) populations. Molecular Ecology, 15, 3515–3525. 10.1111/j.1365-294X.2006.02997.x [DOI] [PubMed] [Google Scholar]
- Arumuganathan, K. , & Earle, E. D. (1991). Nuclear DNA content of some important plant species. Plant Molecular Biology Reporter, 9, 208–218. 10.1007/BF02672069 [DOI] [Google Scholar]
- Baker, H. G. (1955). Self‐compatibility and establishment after “long‐distance” dispersal. Evolution, 9, 347–348. [Google Scholar]
- Baker, H. G. (1967). Support for Baker's law—as a rule. Evolution, 21, 853–856. 10.1111/j.1558-5646.1967.tb03440.x [DOI] [PubMed] [Google Scholar]
- Bangle, D. N. , Walker, L. R. , & Powell, E. A. (2008). Seed germination of the invasive plant Brassica tournefortii (Sahara mustard) in the Mojave Desert. Western North American Naturalist, 68, 334–342. 10.3398/1527-0904(2008)68[334:SGOTIP]2.0.CO;2 [DOI] [Google Scholar]
- Barker, B. S. , Andonian, K. , Swope, S. M. , Luster, D. G. , & Dlugosch, K. M. (2017). Population genomic analyses reveal a history of range expansion and trait evolution across the native and invaded range of yellow starthistle (Centaurea solstitialis). Molecular Ecology, 26, 1131–1147. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Barrett, S. C. , Colautti, R. I. , & Eckert, C. G. (2008). Plant reproductive systems and evolution during biological invasion. Molecular Ecology, 17, 373–383. 10.1111/j.1365-294X.2007.03503.x [DOI] [PubMed] [Google Scholar]
- Barrows, C. , Allen, E. , Brooks, M. , & Allen, M. (2009). Effects of an invasive plant on a desert sand dune landscape. Biological Invasions, 11, 673–686. 10.1007/s10530-008-9282-6 [DOI] [Google Scholar]
- Berry, K. H. , Gowan, T. A. , Miller, D. M. , & Brooks, M. L. (2014). Models of invasion and establishment for African Mustard (Brassica tournefortii). Invasive Plant Science and Management, 7, 599–616. [Google Scholar]
- Blackburn, T. M. , Lockwood, J. L. , & Cassey, P. (2015). The influence of numbers on invasion success. Molecular Ecology, 24, 1942–1953. 10.1111/mec.13075 [DOI] [PubMed] [Google Scholar]
- Bock, D. G. , Caseys, C. , Cousens, R. D. , Hahn, M. A. , Heredia, S. M. , Hübner, S. , … Rieseberg, L. H. (2015). What we still don't know about invasion genetics. Molecular Ecology, 24, 2277–2297. 10.1111/mec.13032 [DOI] [PubMed] [Google Scholar]
- Bock, D. G. , Kantar, M. B. , Caseys, C. , Matthey‐Doret, R. , & Rieseberg, L. H. (2018). Evolution of invasiveness by genetic accommodation. Nature Ecology & Evolution, 2, 991–999. 10.1038/s41559-018-0553-z [DOI] [PubMed] [Google Scholar]
- Bolger, A. M. , Lohse, M. , & Usadel, B. (2014). Trimmomatic: A flexible trimmer for Illumina sequence data. Bioinformatics, 30, 2114–2120. 10.1093/bioinformatics/btu170 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Burrell, A. M. , Pepper, A. E. , Hodnett, G. , Goolsby, J. A. , Overholt, W. A. , Racelis, A. E. , … Klein, P. E. (2015). Exploring origins, invasion history and genetic diversity of Imperata cylindrica (L.) P. Beauv. (Cogongrass) in the United States using genotyping by sequencing. Molecular Ecology, 24, 2177–2193. [DOI] [PubMed] [Google Scholar]
- Catchen, J. M. , Amores, A. , Hohenlohe, P. , Cresko, W. , & Postlethwait, J. H. (2011). Stacks: Building and genotyping loci de novo from short‐read sequences. G3: Genes, Genomes, Genetics, 1, 171–182. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Catchen, J. , Hohenlohe, P. A. , Bassham, S. , Amores, A. , & Cresko, W. A. (2013). Stacks: An analysis tool set for population genomics. Molecular Ecology, 22, 3124–3140. 10.1111/mec.12354 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Charlesworth, D. (2003). Effects of inbreeding on the genetic diversity of populations. Philosophical Transactions of the Royal Society of London B: Biological Sciences, 358, 1051–1070. 10.1098/rstb.2003.1296 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Chauhan, B. S. , Gill, G. , & Preston, C. (2006). African mustard (Brassica tournefortii) germination in southern Australia. Weed Science, 54, 891–897. 10.1614/WS-06-053R.1 [DOI] [Google Scholar]
- Chen, C. , Durand, E. , Forbes, F. , & François, O. (2007). Bayesian clustering algorithms ascertaining spatial population structure: A new computer program and a comparison study. Molecular Ecology Notes, 7, 747–756. 10.1111/j.1471-8286.2007.01769.x [DOI] [Google Scholar]
- Chen, Y. H. , Opp, S. B. , Berlocher, S. H. , & Roderick, G. K. (2006). Are bottlenecks associated with colonization? Genetic diversity and diapause variation of native and introduced Rhagoletis completa populations. Oecologia, 149(4), 656–667. 10.1007/s00442-006-0482-4 [DOI] [PubMed] [Google Scholar]
- Cheptou, P. O. (2004). Allee effect and self‐fertilization in hermaphrodites: Reproductive assurance in demographically stable populations. Evolution, 58, 2613–2621. 10.1111/j.0014-3820.2004.tb01615.x [DOI] [PubMed] [Google Scholar]
- Colautti, R. I. , & Lau, J. A. (2015). Contemporary evolution during invasion: Evidence for differentiation, natural selection, and local adaptation. Molecular Ecology, 24, 1999–2017. 10.1111/mec.13162 [DOI] [PubMed] [Google Scholar]
- Colautti, R. I. , Manca, M. , Viljanen, M. , Ketelaars, H. A. , Buergi, H. , Macisaac, H. J. , & Heath, D. D. (2005). Invasion genetics of the Eurasian spiny waterflea: Evidence for bottlenecks and gene flow using microsatellites. Molecular Ecology, 14, 1869–1879. 10.1111/j.1365-294X.2005.02565.x [DOI] [PubMed] [Google Scholar]
- Cousens, R. , & Mortimer, M. (1995). Dynamics of weed populations. Cambridge, UK: Cambridge University Press. [Google Scholar]
- Crawford, P. H. , & Hoagland, B. W. (2009). Can herbarium records be used to map alien species invasion and native species expansion over the past 100 years? Journal of Biogeography, 36, 651–661. [Google Scholar]
- Cristescu, M. E. (2015). Genetic reconstructions of invasion history. Molecular Ecology, 24, 2212–2225. 10.1111/mec.13117 [DOI] [PubMed] [Google Scholar]
- Crooks, J. A. (2005). Lag times and exotic species: The ecology and management of biological invasions in slow‐motion. Ecoscience, 12, 316–329. [Google Scholar]
- Crooks, J. A. , Soulé, M. E. (1999). Lag times in population explosions of invasive species: Causes and implications In Sandlund O. T., Schei P. J., & Viken Å. (Eds.), Invasive species and biodiversity management (pp. 103–125). Dordrecht, Netherlands: Kluwer Academic Publishers. [Google Scholar]
- Cubry, P. , Vigouroux, Y. , & François, O. (2017). The empirical distribution of singletons for geographic samples of DNA sequences. Frontiers in Genetics, 8, 139 10.3389/fgene.2017.00139 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Curtis, C. A. , & Bradley, B. A. (2015). Climate change may alter both establishment and high abundance of red brome (Bromus rubens) and African mustard (Brassica tournefortii) in the semiarid southwest United States. Invasive Plant Science and Management, 8, 341–352. [Google Scholar]
- Daehler, C. C. (1998). Variation in self‐fertility and the reproductive advantage of self‐fertility for an invading plant (Spartina alterniflora). Evolutionary Ecology, 12, 553–568. 10.1023/A:1006556709662 [DOI] [Google Scholar]
- Delisle, F. , Lavoie, C. , Jean, M. , & Lachance, D. (2003). Reconstructing the spread of invasive plants: Taking into account biases associated with herbarium specimens. Journal of Biogeography, 30, 1033–1042. 10.1046/j.1365-2699.2003.00897.x [DOI] [Google Scholar]
- Dlugosch, K. M. , Anderson, S. R. , Braasch, J. , Cang, F. A. , & Gillette, H. D. (2015). The devil is in the details: Genetic variation in introduced populations and its contributions to invasion. Molecular Ecology, 24, 2095–2111. 10.1111/mec.13183 [DOI] [PubMed] [Google Scholar]
- Dlugosch, K. M. , Lai, Z. , Bonin, A. , Hierro, J. , & Rieseberg, L. H. (2013). Allele identification for transcriptome‐based population genomics in the invasive plant Centaurea solstitialis . G3: Genes, Genomes, Genetics, 3, 359–367. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Dlugosch, K. M. , & Parker, I. M. (2008). Founding events in species invasions: Genetic variation, adaptive evolution, and the role of multiple introductions. Molecular Ecology, 17, 431–449. 10.1111/j.1365-294X.2007.03538.x [DOI] [PubMed] [Google Scholar]
- Dornier, A. , Munoz, F. , & Cheptou, P. O. (2008). Allee effect and self‐fertilization in hermaphrodites: Reproductive assurance in a structured metapopulation. Evolution, 62, 2558–2569. 10.1111/j.1558-5646.2008.00464.x [DOI] [PubMed] [Google Scholar]
- Durand, E. , Jay, F. , Gaggiotti, O. E. , & François, O. (2009). Spatial inference of admixture proportions and secondary contact zones. Molecular Biology and Evolution, 26(9), 1963–1973. 10.1093/molbev/msp106 [DOI] [PubMed] [Google Scholar]
- Durka, W. , Bossdorf, O. , Prati, D. , & Auge, H. (2005). Molecular evidence for multiple introductions of garlic mustard (Alliaria petiolata, Brassicaceae) to North America. Molecular Ecology, 14, 1697–1706. 10.1111/j.1365-294X.2005.02521.x [DOI] [PubMed] [Google Scholar]
- El‐Saied, A. B. , El‐Ghamry, A. , Khafagi, O. M. A. , Powell, O. , & Bedair, R. (2015). Floristic diversity and vegetation analysis of Siwa Oasis: An ancient agro‐ecosystem in Egypt's Western Desert. Annals of Agricultural Sciences, 60, 361–372. 10.1016/j.aoas.2015.10.010 [DOI] [Google Scholar]
- Eriksen, R. L. , Hierro, J. L. , Eren, Ö. , Andonian, K. , Török, K. , Becerra, P. I. , … Kesseli, R. (2014). Dispersal pathways and genetic differentiation among worldwide populations of the invasive weed Centaurea solstitialis L. (Asteraceae). PLoS ONE, 9, e114786 10.1371/journal.pone.0114786 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Estoup, A. , & Guillemaud, T. (2010). Reconstructing routes of invasion using genetic data: Why, how and so what? Molecular Ecology, 19, 4113–4130. 10.1111/j.1365-294X.2010.04773.x [DOI] [PubMed] [Google Scholar]
- Excoffier, L. , Smouse, P. E. , & Quattro, J. M. (1992). Analysis of molecular variance inferred from metric distances among DNA haplotypes: Application to human mitochondrial DNA restriction data. Genetics, 131, 479–491. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Fogelqvist, J. , Niittyvuopio, A. , Ågren, J. , Savolainen, O. , & Lascoux, M. (2010). Cryptic population genetic structure: The number of inferred clusters depends on sample size. Molecular Ecology Resources, 10, 314–323. 10.1111/j.1755-0998.2009.02756.x [DOI] [PubMed] [Google Scholar]
- François, O. (2016). Running structure‐like population genetic analyses with R. R tutorials in population genetics, U. Grenoble‐Alpes, 1–9.
- François, O. , Currat, M. , Ray, N. , Han, E. , Excoffier, L. , & Novembre, J. (2010). Principal component analysis under population genetic models of range expansion and admixture. Molecular Biology and Evolution, 27, 1257–1268. 10.1093/molbev/msq010 [DOI] [PubMed] [Google Scholar]
- Frichot, E. , & François, O. (2015). LEA: An R package for landscape and ecological association studies. Methods in Ecology and Evolution, 6, 925–929. [Google Scholar]
- Genton, B. J. , Shykoff, J. A. , & Giraud, T. (2005). High genetic diversity in French invasive populations of common ragweed, Ambrosia artemisiifolia, as a result of multiple sources of introduction. Molecular Ecology, 14, 4275–4285. 10.1111/j.1365-294X.2005.02750.x [DOI] [PubMed] [Google Scholar]
- Gilbert, K. J. , Sharp, N. P. , Angert, A. L. , Conte, G. L. , Draghi, J. A. , Guillaume, F. , … Whitlock, M. C. (2017). Local adaptation interacts with expansion load during range expansion: Maladaptation reduces expansion load. The American Naturalist, 189, 368–380. 10.1086/690673 [DOI] [PubMed] [Google Scholar]
- Gross, A. , Hosoya, T. , & Queloz, V. (2014). Population structure of the invasive forest pathogen Hymenoscyphus pseudoalbidus . Molecular Ecology, 23, 2943–2960. [DOI] [PubMed] [Google Scholar]
- Guarrera, P. M. , & Savo, V. (2016). Wild food plants used in traditional vegetable mixtures in Italy. Journal of Ethnopharmacology, 185, 202–234. 10.1016/j.jep.2016.02.050 [DOI] [PubMed] [Google Scholar]
- Hahn, M. A. , & Rieseberg, L. H. (2017). Genetic admixture and heterosis may enhance the invasiveness of common ragweed. Evolutionary Applications, 10, 241–250. 10.1111/eva.12445 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Hamilton, J. A. , Okada, M. , Korves, T. , & Schmitt, J. (2015). The role of climate adaptation in colonization success in Arabidopsis thaliana . Molecular Ecology, 24, 2253–2263. [DOI] [PubMed] [Google Scholar]
- Hare, M. P. (2001). Prospects for nuclear gene phylogeography. Trends in Ecology & Evolution, 16, 700–706. 10.1016/S0169-5347(01)02326-6 [DOI] [Google Scholar]
- Hargreaves, A. L. , & Eckert, C. G. (2014). Evolution of dispersal and mating systems along geographic gradients: Implications for shifting ranges. Functional Ecology, 28, 5–21. 10.1111/1365-2435.12170 [DOI] [Google Scholar]
- Hedrick, P. W. (2011). Genetics of populations. Sudbury: Jones & Bartlett Learning. [Google Scholar]
- Hodgins, K. A. , Bock, D. G. , & Rieseberg, L. H. (2018). Trait evolution in invasive species. Annual Plant Reviews Online, 1, 1–37. [Google Scholar]
- Holle, B. V. , & Simberloff, D. (2005). Ecological resistance to biological invasion overwhelmed by propagule pressure. Ecology, 86, 3212–3218. 10.1890/05-0427 [DOI] [Google Scholar]
- Ingvarsson, P. (2002). A metapopulation perspective on genetic diversity and differentiation in partially self‐fertilizing plants. Evolution, 56, 2368–2373. 10.1111/j.0014-3820.2002.tb00162.x [DOI] [PubMed] [Google Scholar]
- Jombart, T. , & Ahmed, I. (2011). adegenet 1.3‐1: New tools for the analysis of genome‐wide SNP data. Bioinformatics, 27, 3070–3071. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Jurado, E. , & Westoby, M. (1992). Seedling growth in relation to seed size among species of arid Australia. Journal of Ecology, 80, 407–416. 10.2307/2260686 [DOI] [Google Scholar]
- Kalisz, S. , Vogler, D. W. , & Hanley, K. M. (2004). Context‐dependent autonomous self‐fertilization yields reproductive assurance and mixed mating. Nature, 430, 884–887. 10.1038/nature02776 [DOI] [PubMed] [Google Scholar]
- Kamvar, Z. N. , Tabima, J. F. , & Grünwald, N. J. (2014). Poppr: An R package for genetic analysis of populations with clonal, partially clonal, and/or sexual reproduction. PeerJ, 2, e281. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Kloot, P. M. (1987). The naturalised flora of South Australia 3. Its origin, introduction, distribution, growth forms and significance. Journal of the Adelaide Botanic Garden, 10, 99–111. [Google Scholar]
- Kolbe, J. J. , Glor, R. E. , Schettino, L. R. , Lara, A. C. , Larson, A. , & Losos, J. B. (2004). Genetic variation increases during biological invasion by a Cuban lizard. Nature, 431, 177–181. 10.1038/nature02807 [DOI] [PubMed] [Google Scholar]
- Larkin, D. J. (2012). Lengths and correlates of lag phases in upper‐Midwest plant invasions. Biological Invasions, 14, 827–838. 10.1007/s10530-011-0119-3 [DOI] [Google Scholar]
- Lavergne, S. , & Molofsky, J. (2007). Increased genetic variation and evolutionary potential drive the success of an invasive grass. Proceedings of the National Academy of Sciences, 104, 3883–3888. 10.1073/pnas.0607324104 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Lawson Handley, L. J. , Estoup, A. , Evans, D. M. , Thomas, C. E. , Lombaert, E. , Facon, B. , … Roy, H. E. (2011). Ecological genetics of invasive alien species. BioControl, 56, 409–428. 10.1007/s10526-011-9386-2 [DOI] [Google Scholar]
- Lee, C. E. (2002). Evolutionary genetics of invasive species. Trends in Ecology & Evolution, 17, 386–391. 10.1016/S0169-5347(02)02554-5 [DOI] [Google Scholar]
- Levin, D. A. (2010). Environment‐enhanced self‐fertilization: Implications for niche shifts in adjacent populations. Journal of Ecology, 98, 1276–1283. 10.1111/j.1365-2745.2010.01715.x [DOI] [Google Scholar]
- Li, Y. M. , Dlugosch, K. M. , & Enquist, B. J. (2015). Novel spatial analysis methods reveal scale‐dependent spread and infer limiting factors of invasion by Sahara mustard. Ecography, 38, 311–320. 10.1111/ecog.00722 [DOI] [Google Scholar]
- Lockwood, J. L. , Cassey, P. , & Blackburn, T. (2005). The role of propagule pressure in explaining species invasions. Trends in Ecology & Evolution, 20, 223–228. 10.1016/j.tree.2005.02.004 [DOI] [PubMed] [Google Scholar]
- Lombaert, E. , Guillemaud, T. , Cornuet, J. M. , Malausa, T. , Facon, B. , & Estoup, A. (2010). Bridgehead effect in the worldwide invasion of the biocontrol harlequin ladybird. PLoS ONE, 5, e9743 10.1371/journal.pone.0009743 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Lott, M. S. , Volin, J. C. , Pemberton, R. W. , & Austin, D. F. (2003). The reproductive biology of the invasive ferns Lygodium microphyllum and L. japonicum (Schizaeaceae): Implications for invasive potential. American Journal of Botany, 90, 1144–1152. 10.3732/ajb.90.8.1144 [DOI] [PubMed] [Google Scholar]
- Ma, J. , & Amos, C. I. (2012). Principal components analysis of population admixture. PLoS ONE, 7, e40115 10.1371/journal.pone.0040115 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Marushia, R. G. , Brooks, M. L. , & Holt, J. S. (2012). Phenology, growth, and fecundity as determinants of distribution in closely related nonnative taxa. Invasive Plant Science and Management, 5, 217–229. 10.1614/IPSM-D-11-00074.1 [DOI] [Google Scholar]
- Marushia, R. G. , Cadotte, M. W. , & Holt, J. S. (2010). Phenology as a basis for management of exotic annual plants in desert invasions. Journal of Applied Ecology, 47, 1290–1299. 10.1111/j.1365-2664.2010.01881.x [DOI] [Google Scholar]
- McGeoch, M. A. , Kalwij, J. M. , & Rhodes, J. I. (2009). A spatial assessment of Brassica napus gene flow potential to wild and weedy relatives in the Fynbos Biome. South African Journal of Science, 105, 109–115. [Google Scholar]
- Mooney, H. A. , & Cleland, E. E. (2001). The evolutionary impact of invasive species. Proceedings of the National Academy of Sciences, 98, 5446–5451. 10.1073/pnas.091093398 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Morgan, M. T. , Wilson, W. G. , & Knight, T. M. (2005). Plant population dynamics, pollinator foraging, and the selection of self‐fertilization. The American Naturalist, 166, 169–183. 10.1086/431317 [DOI] [PubMed] [Google Scholar]
- Musil, A. F. (1948). Distinguishing the species of Brassica by their seed (No. 643). Washington, DC: United States Department of Agriculture. [Google Scholar]
- Musil, A. F. (1950). Identification of brassicas by seedling growth or later vegetative stages (No. 857). Washington, DC: United States Department of Agriculture. [Google Scholar]
- Nordborg, M. (2000). Linkage disequilibrium, gene trees and selfing: An ancestral recombination graph with partial self‐fertilization. Genetics, 154, 923–929. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Nychka, D. , Furrer, R. , & Sain, S. ( 2017). fields: Tools for spatial data. R Package Version, 9.6. 10.5065/D6W957CT [DOI]
- Pannell, J. R. (2015). Evolution of the mating system in colonizing plants. Molecular Ecology, 24, 2018–2037. 10.1111/mec.13087 [DOI] [PubMed] [Google Scholar]
- Pannell, J. R. , Auld, J. R. , Brandvain, Y. , Burd, M. , Busch, J. W. , Cheptou, P.‐O. , … Winn, A. A. (2015). The scope of Baker's law. New Phytologist, 208, 656–667. 10.1111/nph.13539 [DOI] [PubMed] [Google Scholar]
- Pappert, R. A. , Hamrick, J. L. , & Donovan, L. A. (2000). Genetic variation in Pueraria lobata (Fabaceae), an introduced, clonal, invasive plant of the southeastern United States. American Journal of Botany, 87, 1240–1245. [PubMed] [Google Scholar]
- Paradis, E. (2010). pegas: An R package for population genetics with an integrated‐modular approach. Bioinformatics, 26, 419–420. [DOI] [PubMed] [Google Scholar]
- Parker, I. M. (2004). Mating patterns and rates of biological invasion. Proceedings of the National Academy of Sciences of the United States of America, 101, 13695–13696. 10.1073/pnas.0405787101 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Parker, I. M. , Rodriguez, J. , & Loik, M. E. (2003). An evolutionary approach to understanding the biology of invasions: Local adaptation and general‐purpose genotypes in the weed Verbascum Thapsus . Conservation Biology, 17, 59–72. 10.1046/j.1523-1739.2003.02019.x [DOI] [Google Scholar]
- Peccoud, J. , Figueroa, C. C. , Silva, A. X. , Ramirez, C. C. , Mieuzet, L. , Bonhomme, J. , … Simon, J. C. (2008). Host range expansion of an introduced insect pest through multiple colonizations of specialized clones. Molecular Ecology, 17, 4608–4618. 10.1111/j.1365-294X.2008.03949.x [DOI] [PubMed] [Google Scholar]
- Peischl, S. , & Excoffier, L. (2015). Expansion load: Recessive mutations and the role of standing genetic variation. Molecular Ecology, 24, 2084–2094. 10.1111/mec.13154 [DOI] [PubMed] [Google Scholar]
- Prain, D. (1898). Note on the mustards cultivated in Bengal. Bulletin No. 4, pp 1–80. Bengal, India: Department of Land Records and Agriculture. [Google Scholar]
- Prentis, P. J. , Wilson, J. R. , Dormontt, E. E. , Richardson, D. M. , & Lowe, A. J. (2008). Adaptive evolution in invasive species. Trends in Plant Science, 13, 288–294. 10.1016/j.tplants.2008.03.004 [DOI] [PubMed] [Google Scholar]
- R Core Team . (2014). R: A language and environment for statistical computing. Vienna, Austria: R Foundation for Statistical Computing. [Google Scholar]
- Richards, C. L. , Bossdorf, O. , Muth, N. Z. , Gurevitch, J. , & Pigliucci, M. (2006). Jack of all trades, master of some? On the role of phenotypic plasticity in plant invasions. Ecology Letters, 9, 981–993. 10.1111/j.1461-0248.2006.00950.x [DOI] [PubMed] [Google Scholar]
- Rius, M. , & Darling, J. A. (2014). How important is intraspecific genetic admixture to the success of colonising populations? Trends in Ecology & Evolution, 29, 233–242. 10.1016/j.tree.2014.02.003 [DOI] [PubMed] [Google Scholar]
- Robbins, W. W. , Bellue, M. K. , & Ball, W. S. (1951). Weeds of California. Sacramento, CA: California Department of Agriculture. [Google Scholar]
- Rollins, L. A. , Woolnough, A. P. , Wilton, A. N. , Sinclair, R. O. N. , & Sherwin, W. B. (2009). Invasive species can't cover their tracks: Using microsatellites to assist management of starling (Sturnus vulgaris) populations in Western Australia. Molecular Ecology, 18, 1560–1573. [DOI] [PubMed] [Google Scholar]
- Roman, J. , & Darling, J. A. (2007). Paradox lost: Genetic diversity and the success of aquatic invasions. Trends in Ecology & Evolution, 22, 454–464. 10.1016/j.tree.2007.07.002 [DOI] [PubMed] [Google Scholar]
- Russello, M. A. , Waterhouse, M. D. , Etter, P. D. , & Johnson, E. A. (2015). From promise to practice: Pairing non‐invasive sampling with genomics in conservation. PeerJ, 3, e1106 10.7717/peerj.1106 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Sakai, A. K. , Allendorf, F. W. , Holt, J. S. , Lodge, D. M. , Molofsky, J. , With, K. A. , … Weller, S. G. (2001). The population biology of invasive species. Annual Review of Ecology and Systematics, 32, 305–332. 10.1146/annurev.ecolsys.32.081501.114037 [DOI] [Google Scholar]
- Salisbury, P. A. , Potter, T. D. , Gurung, A. M. , Mailer, R. J. , & Williams, W. M. (2018). Potential impact of weedy Brassicaceae species on oil and meal quality of oilseed rape (canola) in Australia. Weed Research, 58, 200–209. 10.1111/wre.12296 [DOI] [Google Scholar]
- Saltonstall, K. (2003). Microsatellite variation within and among North American lineages of Phragmites australis. Molecular Ecology, 12, 1689–1702. 10.1046/j.1365-294X.2003.01849.x [DOI] [PubMed] [Google Scholar]
- Sánchez‐Flores, E. (2007). GARP modeling of natural and human factors affecting the potential distribution of the invasives Schismus arabicus and Brassica tournefortii in ‘El Pinacate y Gran Desierto de Altar Biosphere Reserve. Ecological Modelling, 3, 457–474. 10.1016/j.ecolmodel.2007.02.002 [DOI] [Google Scholar]
- Sánchez‐Yélamo, M. D. , Ortiz, J. M. , & Gogorcena, Y. (1992). Comparative electrophoretic studies of seed proteins in some species of the genera Diplotaxis, Erucastrum, and Brassica (Cruciferae: Brassicaceae). Taxon, 477–483. [Google Scholar]
- Sanders, A. , & Minnich, R. (2000). Brassica tournefortii. Invasive plants of California's wildlands. Berkeley, CA: University of California Press. [Google Scholar]
- Schoen, D. J. , Morgan, M. T. , & Bataillon, T. (1996). How does self‐pollination evolve? Inferences from floral ecology and molecular genetic variation. Philosophical Transactions of the Royal Society of London. Series B, 351, 1281–1290. [Google Scholar]
- Simberloff, D. , Martin, J.‐L. , Genovesi, P. , Maris, V. , Wardle, D. A. , Aronson, J. , … Vilà, M. (2013). Impacts of biological invasions: What's what and the way forward. Trends in Ecology & Evolution, 28, 58–66. 10.1016/j.tree.2012.07.013 [DOI] [PubMed] [Google Scholar]
- Singh, R. , Semwal, D. P. , & Bhatt, K. C. (2015). Characterization and evaluation of Asian Mustard (Brassica tournefortii Gouan.)—an endangered oilseed crop of Northwestern India. Indian Journal of Plant Genetic Resources, 28, 278–281. [Google Scholar]
- Slatkin, M. (1985). Rare alleles as indicators of gene flow. Evolution, 39, 53–65. 10.1111/j.1558-5646.1985.tb04079.x [DOI] [PubMed] [Google Scholar]
- Suarez, A. V. , & Tsutsui, N. D. (2008). The evolutionary consequences of biological invasions. Molecular Ecology, 17, 351–360. 10.1111/j.1365-294X.2007.03456.x [DOI] [PubMed] [Google Scholar]
- Sun, M. (1997). Population genetic structure of yellow starthistle (Centaurea solstitialis), a colonizing weed in the western United States. Canadian Journal of Botany, 75, 1470–1478. [Google Scholar]
- Teillier, S. , Prina, A. , & Lund, R. (2014). Brassica tournefortii Gouan (Brassicaceae), a new record for the Chilean asylum allotted flora. Gayana Botany, 71, 284–286. [Google Scholar]
- Thanos, C. A. , Georghiou, K. , Douma, D. J. , & Marangaki, C. J. (1991). Photoinhibition of seed germination in Mediterranean maritime plants. Annals of Botany, 68, 469–475. 10.1093/oxfordjournals.aob.a088280 [DOI] [Google Scholar]
- Trader, M. R. , Brooks, M. L. , & Draper, J. V. (2006). Seed production by the non‐native Brassica tournefortii (Sahara mustard) along desert roadsides. Madroño, 53, 313–320. 10.3120/0024-9637(2006)53[313:SPBTNB]2.0.CO;2 [DOI] [Google Scholar]
- van Kleunen, M. , Dawson, W. , & Maurel, N. (2015). Characteristics of successful alien plants. Molecular Ecology, 24, 1954–1968. 10.1111/mec.13013 [DOI] [PubMed] [Google Scholar]
- van Kleunen, M. , Fischer, M. , & Johnson, S. D. (2007). Reproductive assurance through self‐fertilization does not vary with population size in the alien invasive plant Datura stramonium . Oikos, 116, 1400–1412. [Google Scholar]
- VanTassel, H. L. H. , Hansen, A. M. , Barrows, C. W. , Latif, Q. , Simon, M. W. , & Anderson, K. E. (2014). Declines in a ground‐dwelling arthropod community during an invasion by Sahara mustard (Brassica tournefortii) in aeolian sand habitats. Biological Invasions, 16, 1675–1687. 10.1007/s10530-013-0616-7 [DOI] [Google Scholar]
- Verhoeven, K. J. , Macel, M. , Wolfe, L. M. , & Biere, A. (2011). Population admixture, biological invasions and the balance between local adaptation and inbreeding depression. Proceedings of the Royal Society of London B: Biological Sciences, 278, 2–8. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Walker, N. F. , Hulme, P. E. , & Hoelzel, A. R. (2003). Population genetics of an invasive species, Heracleum mantegazzianum: Implications for the role of life history, demographics and independent introductions. Molecular Ecology, 12, 1747–1756. 10.1046/j.1365-294X.2003.01866.x [DOI] [PubMed] [Google Scholar]
- Williamson, M. (2006). Explaining and predicting the success of invading species at different stages of invasion. Biological Invasions, 8, 1561–1568. 10.1007/s10530-005-5849-7 [DOI] [Google Scholar]
- Wilson, J. R. , Dormontt, E. E. , Prentis, P. J. , Lowe, A. J. , & Richardson, D. M. (2009). Something in the way you move: Dispersal pathways affect invasion success. Trends in Ecology & Evolution, 24, 136–144. 10.1016/j.tree.2008.10.007 [DOI] [PubMed] [Google Scholar]
- Winkler, D. E. , Gremer, J. R. , Chapin, K. J. , Kao, M. , & Huxman, T. E. (2018). Rapid alignment of functional trait variation with locality across the invaded range of Sahara mustard (Brassica tournefortii). American Journal of Botany, 105, 1188–1197. [DOI] [PubMed] [Google Scholar]
- Wright, S. (1921). Systems of mating. II. The effects of inbreeding on the genetic composition of a population. Genetics, 6, 124–143. [DOI] [PMC free article] [PubMed] [Google Scholar]
Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.
Supplementary Materials
Data Availability Statement
Molecular data used in these analyses are available as a NCBI's sequence read archive (BioProject for B. tournefortii: PRJNA534338), subject to a 1‐year embargo period postpublication.
