Abstract
Characterizing transcriptomes in non-model organisms has resulted in a massive increase in our understanding of biological phenomena. This boon, largely made possible via high-throughput sequencing, means that studies of functional, evolutionary, and population genomics are now being done by hundreds or even thousands of labs around the world. For many, these studies begin with a de novo transcriptome assembly, which is a technically complicated process involving several discrete steps. The Oyster River Protocol (ORP), described here, implements a standardized and benchmarked set of bioinformatic processes, resulting in an assembly with enhanced qualities over other standard assembly methods. Specifically, ORP produced assemblies have higher Detonate and TransRate scores and mapping rates, which is largely a product of the fact that it leverages a multi-assembler and kmer assembly process, thereby bypassing the shortcomings of any one approach. These improvements are important, as previously unassembled transcripts are included in ORP assemblies, resulting in a significant enhancement of the power of downstream analysis. Further, as part of this study, I show that assembly quality is unrelated with the number of reads generated, above 30 million reads. Code Availability: The version controlled open-source code is available at https://github.com/macmanes-lab/Oyster_River_Protocol. Instructions for software installation and use, and other details are available at http://oyster-river-protocol.rtfd.org/.
Keywords: Transcriptome, Assembly, Bioinformatics
Introduction
For all biology, modern sequencing technologies have provided for an unprecedented opportunity to gain a deep understanding of genome level processes that underlie a very wide array of natural phenomena, from intracellular metabolic processes to global patterns of population variability. Transcriptome sequencing has been influential (Mortazavi et al., 2008; Wang, Gerstein & Snyder, 2009), particularly in functional genomics (Lappalainen et al., 2013; Cahoy et al., 2008), and has resulted in discoveries not possible even just a few years ago. This in large part is due to the scale at which these studies may be conducted (Li et al., 2017; Tan et al., 2017). Unlike studies of adaptation based on one or a small number of candidate genes (Fitzpatrick et al., 2005; Panhuis, 2006), modern studies may assay the entire suite of expressed transcripts—the transcriptome—simultaneously. In addition to issues of scale, as a direct result of enhanced dynamic range, newer sequencing studies have increased ability to simultaneously reconstruct and quantitate lowly- and highly-expressed transcripts (Wolf, 2013; Vijay et al., 2013). Lastly, improved methods for the detection of differences in gene expression (Robinson, McCarthy & Smyth, 2010; Love, Huber & Anders, 2014) across experimental treatments have resulted in increased resolution for studies aimed at understanding changes in gene expression.
As a direct result of their widespread popularity, a diverse tool set for the assembly of transcriptome exists, with each potentially reconstructing transcripts others fail to reconstruct. Amongst the earliest of specialized de novo transcriptome assemblers were the packages Trans-ABySS (Robertson et al., 2010), Oases (Schulz et al., 2012), and SOAPdenovoTrans (Xie et al., 2014), which were fundamentally based on the popular de Bruijn graph-based genome assemblers ABySS (Simpson et al., 2009), Velvet (Zerbino & Birney, 2008), and SOAP (Li et al., 2008), respectively. These early efforts gave rise to a series of more specialized de novo transcriptome assemblers, namely Trinity (Haas et al., 2013), and IDBA-Tran (Peng et al., 2013). While the de Bruijn graph approach remains powerful, newly developed software explores novel parts of the algorithmic landscape, offering substantial benefits, assuming novel methods reconstruct different fractions of the transcriptome. BinPacker (Liu et al., 2016), for instance, abandons the de Bruijn graph approach to model the assembly problem after the classical bin packing problem, while Shannon (Kannan et al., 2016) uses information theory, rather than a set of software engineer-decided heuristics. These newer assemblers, by implementing fundamentally different assembly algorithms, may reconstruct fractions of the transcriptome that other assemblers fail to accurately assemble.
In addition to the variety of tools available for the de novo assembly of transcripts, several tools are available for pre-processing of reads via read trimming (e.g., Skewer; Jiang et al., 2014, Trimmomatic; Bolger, Lohse & Usadel, 2014, Cutadapt; Martin, 2011), read normalization (khmer; Pell et al., 2012), and read error correction (SEECER; Le et al., 2013, RCorrector; Song & Florea, 2015, Reptile; Yang, Dorman & Aluru, 2010). Similarly, benchmarking tools that evaluate the quality of assembled transcriptomes including TransRate (Smith-Unna et al., 2016), BUSCO (Benchmarking Universal Single-Copy Orthologs; Simão et al., 2015), and Detonate (Li et al., 2014) have been developed. Despite the development of these evaluative tools, this manuscript describes the first systematic effort coupling them with the development of a de novo transcriptome assembly pipeline.
The ease with which these tools may be used to produce and characterize transcriptome assemblies belies the true complexity underlying the overall process (Ungaro et al., 2017; Wang & Gribskov, 2017; Moreton, Izquierdo & Emes, 2015; Yang & Smith, 2013). Indeed, the subtle (and not so subtle) methodological challenges associated with transcriptome reconstruction may result in highly variable assembly quality. In particular, while most tools run using default settings, these defaults may be sensible only for one specific (often unspecified) use case or data type. Because parameter optimization is both dataset-dependent and factorial in nature, an exhaustive optimization particularly of entire pipelines, is never possible. Given this, the production of a de novo transcriptome assembly requires a large investment in time and resources, with each step requiring careful consideration. Here, I propose an evidence-based protocol for assembly that results in the production of high quality transcriptome assemblies, across a variety of commonplace experimental conditions or taxonomic groups.
This manuscript describes the development of The Oyster River Protocol (ORP)1 for transcriptome assembly. It explicitly considers and attempts to address many of the shortcomings described in Vijay et al. (2013), by leveraging a multi-kmer and multi-assembler strategy. This innovation is critical, as all assembly solutions treat the sequence read data in ways that bias transcript recovery. Specifically, with the development of assembly software comes the use of a set of heuristics that are necessary given the scope of the assembly problem itself. Given each software development team carries with it a unique set of ideas related to these heuristics while implementing various assembly algorithms, individual assemblers exhibit unique assembly behavior. By leveraging a multi-assembler approach, the strengths of one assembler may complement the weaknesses of another. In addition to biases related to assembly heuristics, it is well known that assembly kmer-length has important effects on transcript reconstruction, with shorter kmers more efficiently reconstructing lower-abundance transcripts relative to more highly abundant transcripts. Given this, assembling with multiple different kmer lengths, then merging the resultant assemblies may effectively reduce this type of bias. Recognizing these issue, I hypothesize that an assembly that results from the combination of multiple different assemblers and lengths of assembly-kmers will be better than each individual assembly, across a variety of metrics.
In addition to developing an enhanced pipeline, the work suggests an exhaustive way of characterizing assemblies while making available a set of fully-benchmarked reference assemblies that may be used by other researchers in developing new assembly algorithms and pipelines. Although many other researchers have published comparisons of assembly methods, up until now these have been limited to single datasets assembled a few different ways (Marchant et al., 2016; Finseth & Harrison, 2014), thereby failing to provide more general insights.
Methods
Datasets
In an effort at benchmarking the assembly and merging protocols, I downloaded a set of publicly available RNAseq datasets (Table 1) that had been produced on the Illumina sequencing platform. These datasets were chosen to represent a variety of taxonomic groups, so as to demonstrate the broad utility of the developed methods. Because datasets were selected randomly with respect to sequencing center and read number, they are likely to represent the typical quality of Illumina data circa 2014–2017.
Table 1. Lists the datasets used in this study.
Type | Accession | Species | Number of reads (M) | Read length (bp) |
---|---|---|---|---|
Animalia | ERR489297 | Anopheles gambiae | 206 | 100 |
Animalia | DRR030368 | Echinococcus multilocularis | 73 | 100 |
Animalia | ERR1016675 | Heterorhabditis indica | 51 | 100 |
Animalia | SRR2086412 | Mus musculus | 54 | 100 |
Animalia | DRR036858 | Mus musculus | 114 | 100 |
Animalia | DRR046632 | Oncorhynchus mykiss | 82 | 76 |
Animalia | SRR1789336 | Oryctolagus cuniculus | 31 | 100 |
Animalia | SRR2016923 | Phyllodoce medipapillata | 86 | 100 |
Animalia | ERR1674585 | Schistosoma mansoni | 39 | 100 |
Plant | DRR082659 | Aeginetia indica | 69 | 90 |
Plant | DRR053698 | Cephalotus follicularis | 126 | 90 |
Plant | DRR069093 | Hevea brasiliensis | 103 | 100 |
Plant | SRR3499127 | Nicotiana tabacum | 30 | 150 |
Plant | DRR031870 | Vigna angularis | 60 | 100 |
Protozoa | ERR058009 | Entamoeba histolytica | 68 | 100 |
Note:
All datasets are publicly available for download by accession number at the European Nucleotide Archive or NCBI Short Read Archive.
Software
The ORP can be installed on the Linux platform, and does not require superuser privileges, assuming Linuxbrew (Jackman & Birol, 2016) is installed. The software is implemented as a stand-alone makefile which coordinates all steps described below. All scripts are available at https://github.com/macmanes-lab/Oyster_River_Protocol, and run on the Linux platform. The software is version controlled and openly-licensed to promote sharing and reuse. A guide for users is available at http://oyster-river-protocol.rtfd.io.
Pre-assembly procedures
For all assemblies performed, Illumina sequencing adapters were removed from both ends of the sequencing reads, as were nucleotides with quality Phred ≤2, using the program Trimmomatic version 0.36 (Bolger, Lohse & Usadel, 2014), following the recommendations from MacManes (2014). After trimming, reads were error corrected using the software RCorrector version 1.0.2 (Song & Florea, 2015), following recommendations from MacManes & Eisen (2013). The code for running this step of the ORPs is available at https://github.com/macmanes-lab/Oyster_River_Protocol/blob/master/oyster.mk#L145. The trimmed and error corrected reads were then subjected to de novo assembly.
Assembly
I assembled each trimmed and error corrected dataset using three different de novo transcriptome assemblers and three different kmer lengths, producing four unique assemblies. First, I assembled the reads using Trinity release 2.4.0 (Haas et al., 2013), and default settings (k = 25), without read normalization. The decision to forgo normalization is based on previous work (MacManes, 2015) showing slightly worse performance of normalized datasets. Next, the SPAdes RNAseq assembler (version 3.10) (Chikhi & Medvedev, 2014) was used, in two distinct runs, using kmer sizes 55 and 75. Lastly, reads were assembled using the assembler Shannon version 0.0.2 (Kannan et al., 2016), using a kmer length of 75. These assemblers were chosen based on the fact that they (1) use an open-science development model, whereby end-users may contribute code, (2) are all actively maintained and are undergoing continuous development, and (3) occupy different parts of the algorithmic landscape.
This assembly process resulted in the production of four distinct assemblies. The code for running this step of the ORPs is available at https://github.com/macmanes-lab/Oyster_River_Protocol/blob/master/oyster.mk#L148.
Assembly merging via OrthoFuse
To merge the four assemblies produced as part of the ORP, I developed new software that effectively merges transcriptome assemblies. Described in brief, OrthoFuse begins by concatenating all assemblies together, then forms groups of transcripts by running a version of OrthoFinder (Emms & Kelly, 2015) packaged with the ORP, modified to accept nucleotide sequences from the merged assembly. These groupings represent groups of homologous transcripts. While isoform reconstruction using short-read data is notoriously poor, by increasing the inflation parameter by default to I = 4, it attempts to prevent the collapsing of transcript isoforms into single groups. After Orthofinder has completed, a modified version of TransRate version 1.0.3 (Smith-Unna et al., 2016) which is packaged with the ORP, is run on the merged assembly, after which the best (= highest contig score) transcript is selected from each group and placed in a new assembly file to represent the entire group. The resultant file, which contains the highest scoring contig for each orthogroup, may be used for all downstream analyses. OrthoFuse is run automatically as part of the ORP, and additionally is available as a stand alone script, https://github.com/macmanes-lab/Oyster_River_Protocol/blob/master/orthofuser.mk.
Assembly evaluation
All assemblies were evaluated using ORP-TransRate, Detonate version 1.11 (Li et al., 2014), shmlast version 1.2 (Scott, 2017), and BUSCO version 3.0.2 (Simão et al., 2015). TransRate evaluates transcriptome assembly contiguity by producing a score based on length-based and mapping metrics, while Detonate conducts an orthogonal analysis, producing a score that is maximized by an assembly that is representative of input sequence read data. BUSCO evaluates assembly content by searching the assemblies for conserved single copy orthologs found in all Eukaryotes. I report default BUSCO metrics as described in Simão et al. (2015). Specifically, “complete orthologs,” are defined as query transcripts that are within two standard deviations of the length of the BUSCO group mean, while contigs falling short of this metric are listed as “fragmented.” Shmlast implements the conditional reciprocal best hits test (Aubry et al., 2014), conducted in this case against the Swiss-Prot protein database (downloaded October, 2017) using an e-value of 1E-10.
In addition to the generation of metrics to evaluation the quality of transcriptome assemblies, I generated a distance matrix of assemblies for each dataset using the sourmash package (Titus Brown & Irber, 2016), in an attempt at characterizing the algorithmic landscape of assemblers. Specifically, each assembly was characterized using the compute function using 5,000 independent sketches. The distance between assemblies was calculated using the compare function and a kmer length of 51. These distance matrices were visualized using the isoMDS function of the MASS package (https://CRAN.R-project.org/package=MASS).
Statistics
All statistical analyses were conducted in R version 3.4.0 (R Core Development Team, 2011). Violin plots were constructed using the beanplot (Kampstra, 2008) and the beeswarm R packages (https://CRAN.R-project.org/package=beeswarm). Expression distributions were plotted using the ggridges package (https://CRAN.R-project.org/package=ggridges).
Results and Discussion
A total of 15 RNAseq datasets, ranging in size from (30–206 M paired end reads) were assembled using the ORP and with Trinity. Each assembly was evaluated using the software BUSCO, shmlast, Detonate, and TransRate. From these, several metrics were chosen to represent the quality of the produced assemblies. Of note, all the assemblies produced as part of this work are available at DOI 10.5281/zenodo.1320141. A file containing the evaluative metrics is available at https://github.com/macmanes-lab/Oyster_River_Protocol/blob/master/manuscript/orp.csv, while the distance matrices are available within the folder https://github.com/macmanes-lab/Oyster_River_Protocol/blob/master/manuscript/. R code used to conduct analyses and make figures is found at https://github.com/macmanes-lab/Oyster_River_Protocol/blob/master/manuscript/R-analysis.Rmd.
Assembled transcriptomes
The Trinity assembly of trimmed and error corrected reads generally completed on a standard Linux server using 24 cores, in less than 24 h. RAM requirement is estimated to be close to 0.5 Gb per million paired-end reads. The assemblies on average contained 176 k transcripts (range 19–643 k) and 97 Mb (range 14 MB–198 Mb). Other quality metrics will be discussed below, specifically in relation to the ORP produced assemblies.
Oyster River Protocol assemblies generally completed on a standard Linux server using 24 cores in 3 days. Typically Trinity was the longest running assembler, with the individual SPAdes assemblies being the shortest. RAM requirement is estimated to be 1.5–2 Gb per million paired-end reads, with SPAdes requiring the most. The assemblies on average contained 153 k transcripts (range 23–625 k) and 64 Mb (range 8 MB–181 Mb).
MinHash sketch signatures (Ondov et al., 2016) of each assemblies of a given dataset were calculated using sourmash (Titus Brown & Irber, 2016), and a MDS plot was generated (Fig. 1) from their distances. Interestingly, each assembler tends to produce a specific signature which is relatively consistent between the fifteen datasets. Shannon differentiates itself from the other assemblers on the first (x) MDS axis, while the other assemblers (SPAdes and Trinity) are separated on the second (y) MDS axis.
Assembly structure
The structural integrity of each assembly was evaluated using the TransRate and Detonate software packages. As many downstream applications depend critically on accurate read mapping, assembly quality is correlated with increased mapping rates. The split violin plot presented in Fig. 2A visually represents the mapping rates of each assembly, with lines connecting the mapping rates of datasets assembled with Trinity and with the ORP, respectively. The average mapping rate of the Trinity assembled datasets was 87% (sd = 8%), while the average mapping rates of the ORP assembled datasets was 93% (sd = 4%). This test is statistically significant (one-sided Wilcoxon rank sum test, p = 2E-2). Mapping rates of the other assemblies are less than that of the ORP assembly, but in most cases, greater than that of the Trinity assembly. This aspect of assembly quality is critical. Specifically mapping rates measure how representative the assembly is of the reads. If I assume that the vast majority of generated reads come from the biological sample under study, when reads fail to map, that fraction of the biology is lost from all downstream analysis and inference. This study demonstrates that across a wide variety of taxa, assembling RNAseq reads with any single assembler alone may result in a decrease in mapping rate and in turn, the lost ability to draw conclusions from that fraction of the sample.
Figure 2B describes the distribution of TransRate assembly scores, which is a synthetic metric taking into account the quality of read mapping and coverage-based statistics. The Trinity assemblies had an average optimal score of 0.35 (sd = 0.14), while the ORP assembled datasets had an average score of 0.46 (sd = 0.07). This test is statistically significant (one-sided Wilcoxon rank sum test, p-value = 1.8E-2). Optimal scores of the other assemblies are less than that of the ORP assembly, but in most cases, greater than that of the Trinity assembly. Figure 2C describes the distribution of Detonate scores. The Trinity assemblies had an average score of −6.9E9 (sd = 5.2E9), while the ORP assembled datasets had an average score of −5.3E9 (sd = 3.5E9). This test not is statistically significant, though in all cases, relative to all other assemblies, scores of the ORP assemblies are improved (become less negative), indicating that the ORP produced assemblies of higher quality.
In addition to reporting synthetic metrics related to assembly structure, TransRate reports individual metrics related to specific elements of assembly quality. One such metric estimates the rate of chimerism, a phenomenon which is known to be problematic in de novo assembly (Ungaro et al., 2017; Singhal, 2013). Rates of chimerism are relatively constant between all assemblers, ranging from 10% for the Shannon assembly, to 12% for the SPAdes75 assembly. The chimerism rate for the ORP assemblies averaged 10.5% (± 4.7%). While the new method would ideally improve this metric by exclusively selecting non-chimeric transcripts, this does not seem to be the case, and may be related to the inherent shortcomings of short-read transcriptome assembly.
Of note, consistent with all short-read assemblers (Ungaro et al., 2017), the ORP assemblies may not accurately reflect the true isoform complexity. Specifically, because of the way that single representative transcripts are chosen from a cluster of related sequences, some transcriptional complexity may be lost. Consider the cluster containing contigs {AB, A, B} where AB is a false-chimera, selecting a single representative transcript with the best score could yield either A or B, thereby excluding an important transcript in the final output. I believe this type of transcript loss is not common, based on how contigs are scored (Table 1; Fig. 3; Smith-Unna et al., 2016), though strict demonstration of this is not possible, given the lack of high-quality reference genomes for the majority of the datasets. More generally, mapping rates, Detonate and TransRate score improvements suggest that this type of loss is not widespread.
Assembly content
The genic content of assemblies was measured using the software package Shmlast, which implements the conditional reciprocal blast test against the Swiss-prot database. Presented in Table 2 and in Fig. 3A, ORP assemblies recovered on average 13,364 (sd = 3,391) blast hits, while all other assemblies recovered fewer (minimum Shannon, mean = 10,299). In every case across all assemblers, the ORP assembler retained more reciprocal blast hits, though only the comparison between the ORP assembly and Shannon was significant (one-sided Wilcoxon rank sum test, p = 4E-3). Notably, in all cases, each assembler was both missing transcripts contained in other assemblies, and contributed unique transcripts to the final merged assembly (Table 2), highlighting the utility of using multiple assemblers.
Table 2. Describes the number of genes contained in the assemblies, with the row labeled concatenated representing the combined average (± standard deviation) number of genes contained in all assemblies of a given dataset.
Assembly | Genes | Delta | Unique |
---|---|---|---|
Concatenated | 14,674 ± 3,590 | ||
SPAdes55 | −1,739 ± 758 | 570 ± 266 | |
SPAdes75 | −2,711 ± 2,047 | 301 ± 195 | |
Shannon | −4,375 ± 3,508 | 302 ± 241 | |
Trinity | −1,952 ± 803 | 520 ± 301 |
Note:
The other rows contain information about each assembly. The column labeled delta contains the average number (± standard deviation) of genes missing, relative to the concatenated number. The unique column contains the average number of genes (± standard deviation) unique to that assembly.
Regarding BUSCO scores, Trinity assemblies contained on average 86% (sd = 21%) of the full-length orthologs as defined by the BUSCO developers, while the ORP assembled datasets contained on average 86% (sd = 13%) of the full length transcripts. Other assemblers contained fewer full-length orthologs. The Trinity and ORP assemblies were missing, on average 4.5% (sd = 8.7%) of orthologs. The Trinity assembled datasets contained 9.5% (sd = 17%) of fragmented transcripts while the ORP assemblies each contained on average 9.4% (sd = 9%) of fragmented orthologs. The other assemblers in all cases contained more fragmentation. The rate of transcript duplication, depicted in Fig. 3B is 47% (sd = 20%) for Trinity assemblies, and 34% (sd = 15%) for ORP assemblies. This result is statistically significant (One sided Wilcoxon rank sum test, p-value = 0.02). Of note, all other assemblers produce less transcript duplication than does the ORP assembly, but none of these differences arise to the level of statistical significance.
While the majority of the BUSCO metrics were unchanged, the number of orthologs recovered in duplicate (>1 copy), was decreased when using the ORP. This difference is important, given that the relative frequency of transcript duplication may have important implications for downstream abundance estimation, with less duplication potentially resulting in more accurate estimation. Although gene expression quantitation software (Patro et al., 2017; Bray et al., 2016) probabilistically assigns reads to transcripts in an attempt at mitigating this issue, a primary solution related to decreasing artificial transcript duplication could offer significant advantages.
Assembler contributions
To understand the relative contribution of each assembler to the final merged assembly produced by the ORP, I counted the number of transcripts in the final merged assembly that originated from a given assembler (Fig. 4). On average, 36% of transcripts in the merged assembly were produced by the Trinity assembler. A total of 16% were produced by Shannon. SPAdes run with a kmer value of length = 55 produced 28% of transcripts, while SPAdes run with a kmer value of length = 75 produced 20% of transcripts.
To further understand the potential biases intrinsic to each assembler, I plotted the distribution of gene expression estimates for each merged assembly, broken down by the assembler of origin (Fig. 5, depicting four randomly selected representative assemblies). As is evident, most transcripts are lowly expressed, with SPAdes and Trinity both doing a sufficient job in reconstructing these transcripts. Of note, the SPAdes assemblies using kmer-length = 75 is biased, as expected, toward more highly expressed transcripts relative to kmer-length 55 assemblies. Shannon demonstrates a unique profile, consisting of, almost exclusively high-expression transcripts, showing a previously undescribed bias against low-abundance transcripts. These differences may reflect a set of assembler-specific heuristics which translate into differential recovery of distinct fractions of the transcript community. Figure 5 and Table 2 describe the outcomes of these processes in terms of transcript recovery. Taken together, these expression profiles suggest a mechanism by which the ORP outperforms single-assembler assemblies. While there is substantial overlap in transcript recovery, each assembler recovers unique transcripts (Table 2; Fig. 5) based on expression (and potentially other properties), which when merged together into a final assembly, increases the completeness.
Quality is independent of read depth
This study included read datasets of a variety of sizes. Because of this, I was interested in understanding if the number of reads used in assembly was strongly related to the quality of the resultant assembly. Conclusively, this study demonstrates that between 30 million paired-end reads and 200 million paired-end reads, no strong patterns in quality are evident (Fig. 6). This finding is in line with previous work (MacManes, 2015), suggesting that assembly metrics plateau at between 20 and 40 M read pairs, with sequencing beyond this level resulting in minimal gain in performance.
Funding Statement
The author received no funding for this work.
Footnotes
Named the Oyster River Protocol because the ideas, and some of the code, was developed while overlooking the Oyster River, located in Durham, New Hampshire. NB, the naming assembly of protocols after bodies of water was, to the best of my knowledge, first done by C. Titus Brown (The Eel Pond Protocol: http://khmer-protocols.readthedocs.io/en/latest/mrnaseq/index.html), and may have subconsciously influenced me in naming this protocol.
Additional Information and Declarations
Competing Interests
The author declares that they have no competing interests.
Author Contributions
Matthew D. MacManes conceived and designed the experiments, performed the experiments, analyzed the data, contributed reagents/materials/analysis tools, prepared figures and/or tables, authored or reviewed drafts of the paper, approved the final draft.
Data Availability
The following information was supplied regarding data availability:
GitHub: https://github.com/macmanes-lab/Oyster_River_Protocol
Zenodo: DOI 10.5281/zenodo.1320141.
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Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.
Data Availability Statement
The following information was supplied regarding data availability:
GitHub: https://github.com/macmanes-lab/Oyster_River_Protocol
Zenodo: DOI 10.5281/zenodo.1320141.