@misc{5551,
  abstract     = {Data from array experiments investigating pollinator behaviour on snapdragons in controlled conditions, and their effect on plant mating. Data were collected as part of Tom Ellis' PhD thesis , submitted February 2016.

We placed a total of 36 plants in a grid inside a closed organza tent, with a single hive of commercially bred bumblebees (Bombus hortorum). We used only the yellow-flowered Antirrhinum majus striatum and the magenta-flowered Antirrhinum majus pseudomajus, at ratios of 6:36, 12:24, 18:18, 24:12 and 30:6.

After 24 hours to learn how to deal with snapdragons, I observed pollinators foraging on plants, and recorded the transitions between plants. Thereafter seeds on plants were allowed to develops. A sample of these were grown to maturity when their flower colour could be determined, and they were scored as yellow, magenta, or hybrid.},
  author       = {Ellis, Thomas},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Data on pollinator observations and offpsring phenotypes}},
  doi          = {10.15479/AT:ISTA:35},
  year         = {2016},
}

@misc{5552,
  abstract     = {Data on pollinator visitation to wild snapdragons in a natural hybrid zone, collected as part of Tom Ellis' PhD thesis (submitted February 2016).

Snapdragon flowers have a mouth-like structure which pollinators must open to access nectar. We placed 5mm cellophane tags in these mouths, which are held in place by the pressure of the flower until a pollinator visits. When she opens the flower, the tag drops out, and one can infer a visit. We surveyed plants over multiple days in 2010, 2011 and 2012.

Also included are data on phenotypic and demographic variables which may be explanatory variables for pollinator visitation.},
  author       = {Ellis, Thomas},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Pollinator visitation data for wild Antirrhinum majus plants, with phenotypic and frequency data.}},
  doi          = {10.15479/AT:ISTA:36},
  year         = {2016},
}

@misc{9864,
  abstract     = {Viral capsids are structurally constrained by interactions among the amino acids (AAs) of their constituent proteins. Therefore, epistasis is expected to evolve among physically interacting sites and to influence the rates of substitution. To study the evolution of epistasis, we focused on the major structural protein of the ϕX174 phage family by, first, reconstructing the ancestral protein sequences of 18 species using a Bayesian statistical framework. The inferred ancestral reconstruction differed at eight AAs, for a total of 256 possible ancestral haplotypes. For each ancestral haplotype and the extant species, we estimated, in silico, the distribution of free energies and epistasis of the capsid structure. We found that free energy has not significantly increased but epistasis has. We decomposed epistasis up to fifth order and found that higher-order epistasis sometimes compensates pairwise interactions making the free energy seem additive. The dN/dS ratio is low, suggesting strong purifying selection, and that structure is under stabilizing selection. We synthesized phages carrying ancestral haplotypes of the coat protein gene and measured their fitness experimentally. Our findings indicate that stabilizing mutations can have higher fitness, and that fitness optima do not necessarily coincide with energy minima.},
  author       = {Fernandes Redondo, Rodrigo A and de Vladar, Harold and Włodarski, Tomasz and Bollback, Jonathan P},
  publisher    = {The Royal Society},
  title        = {{Data from evolutionary interplay between structure, energy and epistasis in the coat protein of the ϕX174 phage family}},
  doi          = {10.6084/m9.figshare.4315652.v1},
  year         = {2016},
}

@inproceedings{1430,
  abstract     = {Evolutionary algorithms (EAs) form a popular optimisation paradigm inspired by natural evolution. In recent years the field of evolutionary computation has developed a rigorous analytical theory to analyse their runtime on many illustrative problems. Here we apply this theory to a simple model of natural evolution. In the Strong Selection Weak Mutation (SSWM) evolutionary regime the time between occurrence of new mutations is much longer than the time it takes for a new beneficial mutation to take over the population. In this situation, the population only contains copies of one genotype and evolution can be modelled as a (1+1)-type process where the probability of accepting a new genotype (improvements or worsenings) depends on the change in fitness. We present an initial runtime analysis of SSWM, quantifying its performance for various parameters and investigating differences to the (1+1) EA. We show that SSWM can have a moderate advantage over the (1+1) EA at crossing fitness valleys and study an example where SSWM outperforms the (1+1) EA by taking advantage of information on the fitness gradient.},
  author       = {Paixao, Tiago and Sudholt, Dirk and Heredia, Jorge and Trubenova, Barbora},
  booktitle    = {Proceedings of the 2015 Annual Conference on Genetic and Evolutionary Computation},
  location     = {Madrid, Spain},
  pages        = {1455 -- 1462},
  publisher    = {ACM},
  title        = {{First steps towards a runtime comparison of natural and artificial evolution}},
  doi          = {10.1145/2739480.2754758},
  year         = {2015},
}

@article{1519,
  abstract     = {Evolutionary biologists have an array of powerful theoretical techniques that can accurately predict changes in the genetic composition of populations. Changes in gene frequencies and genetic associations between loci can be tracked as they respond to a wide variety of evolutionary forces. However, it is often less clear how to decompose these various forces into components that accurately reflect the underlying biology. Here, we present several issues that arise in the definition and interpretation of selection and selection coefficients, focusing on insights gained through the examination of selection coefficients in multilocus notation. Using this notation, we discuss how its flexibility-which allows different biological units to be identified as targets of selection-is reflected in the interpretation of the coefficients that the notation generates. In many situations, it can be difficult to agree on whether loci can be considered to be under &quot;direct&quot; versus &quot;indirect&quot; selection, or to quantify this selection. We present arguments for what the terms direct and indirect selection might best encompass, considering a range of issues, from viability and sexual selection to kin selection. We show how multilocus notation can discriminate between direct and indirect selection, and describe when it can do so.},
  author       = {Barton, Nicholas H and Servedio, Maria},
  journal      = {Evolution},
  number       = {5},
  pages        = {1101 -- 1112},
  publisher    = {Wiley},
  title        = {{The interpretation of selection coefficients}},
  doi          = {10.1111/evo.12641},
  volume       = {69},
  year         = {2015},
}

@article{1681,
  abstract     = {In many social situations, individuals endeavor to find the single best possible partner, but are constrained to evaluate the candidates in sequence. Examples include the search for mates, economic partnerships, or any other long-term ties where the choice to interact involves two parties. Surprisingly, however, previous theoretical work on mutual choice problems focuses on finding equilibrium solutions, while ignoring the evolutionary dynamics of decisions. Empirically, this may be of high importance, as some equilibrium solutions can never be reached unless the population undergoes radical changes and a sufficient number of individuals change their decisions simultaneously. To address this question, we apply a mutual choice sequential search problem in an evolutionary game-theoretical model that allows one to find solutions that are favored by evolution. As an example, we study the influence of sequential search on the evolutionary dynamics of cooperation. For this, we focus on the classic snowdrift game and the prisoner’s dilemma game.},
  author       = {Priklopil, Tadeas and Chatterjee, Krishnendu},
  issn         = {2073-4336},
  journal      = {Games},
  number       = {4},
  pages        = {413 -- 437},
  publisher    = {MDPI},
  title        = {{Evolution of decisions in population games with sequentially searching individuals}},
  doi          = {10.3390/g6040413},
  volume       = {6},
  year         = {2015},
}

@article{1699,
  abstract     = {By hybridization and backcrossing, alleles can surmount species boundaries and be incorporated into the genome of a related species. This introgression of genes is of particular evolutionary relevance if it involves the transfer of adaptations between populations. However, any beneficial allele will typically be associated with other alien alleles that are often deleterious and hamper the introgression process. In order to describe the introgression of an adaptive allele, we set up a stochastic model with an explicit genetic makeup of linked and unlinked deleterious alleles. Based on the theory of reducible multitype branching processes, we derive a recursive expression for the establishment probability of the beneficial allele after a single hybridization event. We furthermore study the probability that slightly deleterious alleles hitchhike to fixation. The key to the analysis is a split of the process into a stochastic phase in which the advantageous alleles establishes and a deterministic phase in which it sweeps to fixation. We thereafter apply the theory to a set of biologically relevant scenarios such as introgression in the presence of many unlinked or few closely linked deleterious alleles. A comparison to computer simulations shows that the approximations work well over a large parameter range.},
  author       = {Uecker, Hildegard and Setter, Derek and Hermisson, Joachim},
  journal      = {Journal of Mathematical Biology},
  number       = {7},
  pages        = {1523 -- 1580},
  publisher    = {Springer},
  title        = {{Adaptive gene introgression after secondary contact}},
  doi          = {10.1007/s00285-014-0802-y},
  volume       = {70},
  year         = {2015},
}

@article{1703,
  abstract     = {Vegetation clearing and land-use change have depleted many natural plant communities to the point where restoration is required. A major impediment to the success of rebuilding complex vegetation communities is having regular access to sufficient quantities of high-quality seed. Seed-production areas (SPAs) can help generate this seed, but these must be underpinned by a broad genetic base to maximise the evolutionary potential of restored populations. However, genetic bottlenecks can occur at the collection, establishment and production stages in SPAs, requiring genetic evaluation. This is especially relevant for species that may take many years before a return on SPA investment is realised. Two recently established yellow box (Eucalyptus melliodora A.Cunn. ex Schauer, Myrtaceae) SPAs were evaluated to determine whether genetic bottlenecks had occurred between seed collection and SPA establishment. No evidence was found to suggest that a significant loss of genetic diversity had occurred at this stage, although there was a significant difference in diversity between the two SPAs. Complex population genetic structure was also observed in the seed used to source the SPAs, with up to eight groups identified. Plant survival in the SPAs was influenced by seed collection location but not by SPA location and was not associated with genetic diversity. There were also no associations between genetic diversity and plant growth. These data highlighted the importance of chance events when establishing SPAs and indicated that the two yellow box SPAs are likely to provide genetically diverse seed sources for future restoration projects, especially by pooling seed from both SPAs.},
  author       = {Broadhurst, Linda and Fifield, Graham and Vanzella, Bindi and Pickup, Melinda},
  journal      = {Australian Journal of Botany},
  number       = {5},
  pages        = {455 -- 466},
  publisher    = {CSIRO},
  title        = {{An evaluation of the genetic structure of seed sources and the maintenance of genetic diversity during establishment of two yellow box (Eucalyptus melliodora) seed-production areas}},
  doi          = {10.1071/BT15023},
  volume       = {63},
  year         = {2015},
}

@article{1850,
  abstract     = {Entomopathogenic fungi are potent biocontrol agents that are widely used against insect pests, many of which are social insects. Nevertheless, theoretical investigations of their particular life history are scarce. We develop a model that takes into account the main distinguishing features between traditionally studied diseases and obligate killing pathogens, like the (biocontrol-relevant) insect-pathogenic fungi Metarhizium and Beauveria. First, obligate killing entomopathogenic fungi produce new infectious particles (conidiospores) only after host death and not yet on the living host. Second, the killing rates of entomopathogenic fungi depend strongly on the initial exposure dosage, thus we explicitly consider the pathogen load of individual hosts. Further, we make the model applicable not only to solitary host species, but also to group living species by incorporating social interactions between hosts, like the collective disease defences of insect societies. Our results identify the optimal killing rate for the pathogen that minimises its invasion threshold. Furthermore, we find that the rate of contact between hosts has an ambivalent effect: dense interaction networks between individuals are considered to facilitate disease outbreaks because of increased pathogen transmission. In social insects, this is compensated by their collective disease defences, i.e., social immunity. For the type of pathogens considered here, we show that even without social immunity, high contact rates between live individuals dilute the pathogen in the host colony and hence can reduce individual pathogen loads below disease-causing levels.},
  author       = {Novak, Sebastian and Cremer, Sylvia},
  journal      = {Journal of Theoretical Biology},
  number       = {5},
  pages        = {54 -- 64},
  publisher    = {Elsevier},
  title        = {{Fungal disease dynamics in insect societies: Optimal killing rates and the ambivalent effect of high social interaction rates}},
  doi          = {10.1016/j.jtbi.2015.02.018},
  volume       = {372},
  year         = {2015},
}

@article{1851,
  abstract     = {We consider mating strategies for females who search for males sequentially during a season of limited length. We show that the best strategy rejects a given male type if encountered before a time-threshold but accepts him after. For frequency-independent benefits, we obtain the optimal time-thresholds explicitly for both discrete and continuous distributions of males, and allow for mistakes being made in assessing the correct male type. When the benefits are indirect (genes for the offspring) and the population is under frequency-dependent ecological selection, the benefits depend on the mating strategy of other females as well. This case is particularly relevant to speciation models that seek to explore the stability of reproductive isolation by assortative mating under frequency-dependent ecological selection. We show that the indirect benefits are to be quantified by the reproductive values of couples, and describe how the evolutionarily stable time-thresholds can be found. We conclude with an example based on the Levene model, in which we analyze the evolutionarily stable assortative mating strategies and the strength of reproductive isolation provided by them.},
  author       = {Priklopil, Tadeas and Kisdi, Eva and Gyllenberg, Mats},
  issn         = {1558-5646},
  journal      = {Evolution},
  number       = {4},
  pages        = {1015 -- 1026},
  publisher    = {Wiley},
  title        = {{Evolutionarily stable mating decisions for sequentially searching females and the stability of reproductive isolation by assortative mating}},
  doi          = {10.1111/evo.12618},
  volume       = {69},
  year         = {2015},
}

@misc{9712,
  author       = {Tugrul, Murat and Paixao, Tiago and Barton, Nicholas H and Tkačik, Gašper},
  publisher    = {Public Library of Science},
  title        = {{Other fitness models for comparison & for interacting TFBSs}},
  doi          = {10.1371/journal.pgen.1005639.s001},
  year         = {2015},
}

@misc{9715,
  author       = {Trubenova, Barbora and Novak, Sebastian and Hager, Reinmar},
  publisher    = {Public Library of Science},
  title        = {{Mathematical inference of the results}},
  doi          = {10.1371/journal.pone.0126907.s001},
  year         = {2015},
}

@misc{9772,
  author       = {Trubenova, Barbora and Novak, Sebastian and Hager, Reinmar},
  publisher    = {Public Library of Science},
  title        = {{Description of the agent based simulations}},
  doi          = {10.1371/journal.pone.0126907.s003},
  year         = {2015},
}

@article{1809,
  abstract     = {Background: Indirect genetic effects (IGEs) occur when genes expressed in one individual alter the expression of traits in social partners. Previous studies focused on the evolutionary consequences and evolutionary dynamics of IGEs, using equilibrium solutions to predict phenotypes in subsequent generations. However, whether or not such steady states may be reached may depend on the dynamics of interactions themselves. Results: In our study, we focus on the dynamics of social interactions and indirect genetic effects and investigate how they modify phenotypes over time. Unlike previous IGE studies, we do not analyse evolutionary dynamics; rather we consider within-individual phenotypic changes, also referred to as phenotypic plasticity. We analyse iterative interactions, when individuals interact in a series of discontinuous events, and investigate the stability of steady state solutions and the dependence on model parameters, such as population size, strength, and the nature of interactions. We show that for interactions where a feedback loop occurs, the possible parameter space of interaction strength is fairly limited, affecting the evolutionary consequences of IGEs. We discuss the implications of our results for current IGE model predictions and their limitations.},
  author       = {Trubenova, Barbora and Novak, Sebastian and Hager, Reinmar},
  journal      = {PLoS One},
  number       = {5},
  publisher    = {Public Library of Science},
  title        = {{Indirect genetic effects and the dynamics of social interactions}},
  doi          = {10.1371/journal.pone.0126907},
  volume       = {10},
  year         = {2015},
}

@article{1818,
  abstract     = {Why do species not adapt to ever-wider ranges of conditions, gradually expanding their ecological niche and geographic range? Gene flow across environments has two conflicting effects: although it increases genetic variation, which is a prerequisite for adaptation, gene flow may swamp adaptation to local conditions. In 1956, Haldane proposed that, when the environment varies across space, &quot;swamping&quot; by gene flow creates a positive feedback between low population size and maladaptation, leading to a sharp range margin. However, current deterministic theory shows that, when variance can evolve, there is no such limit. Using simple analytical tools and simulations, we show that genetic drift can generate a sharp margin to a species' range, by reducing genetic variance below the level needed for adaptation to spatially variable conditions. Aided by separation of ecological and evolutionary timescales, the identified effective dimensionless parameters reveal a simple threshold that predicts when adaptation at the range margin fails. Two observable parameters determine the threshold: (i) the effective environmental gradient, which can be measured by the loss of fitness due to dispersal to a different environment; and (ii) the efficacy of selection relative to genetic drift. The theory predicts sharp range margins even in the absence of abrupt changes in the environment. Furthermore, it implies that gradual worsening of conditions across a species' habitat may lead to a sudden range fragmentation, when adaptation to a wide span of conditions within a single species becomes impossible.},
  author       = {Polechova, Jitka and Barton, Nicholas H},
  journal      = {PNAS},
  number       = {20},
  pages        = {6401 -- 6406},
  publisher    = {National Academy of Sciences},
  title        = {{Limits to adaptation along environmental gradients}},
  doi          = {10.1073/pnas.1421515112},
  volume       = {112},
  year         = {2015},
}

@inproceedings{1835,
  abstract     = {The behaviour of gene regulatory networks (GRNs) is typically analysed using simulation-based statistical testing-like methods. In this paper, we demonstrate that we can replace this approach by a formal verification-like method that gives higher assurance and scalability. We focus on Wagner’s weighted GRN model with varying weights, which is used in evolutionary biology. In the model, weight parameters represent the gene interaction strength that may change due to genetic mutations. For a property of interest, we synthesise the constraints over the parameter space that represent the set of GRNs satisfying the property. We experimentally show that our parameter synthesis procedure computes the mutational robustness of GRNs –an important problem of interest in evolutionary biology– more efficiently than the classical simulation method. We specify the property in linear temporal logics. We employ symbolic bounded model checking and SMT solving to compute the space of GRNs that satisfy the property, which amounts to synthesizing a set of linear constraints on the weights.},
  author       = {Giacobbe, Mirco and Guet, Calin C and Gupta, Ashutosh and Henzinger, Thomas A and Paixao, Tiago and Petrov, Tatjana},
  location     = {London, United Kingdom},
  pages        = {469 -- 483},
  publisher    = {Springer},
  title        = {{Model checking gene regulatory networks}},
  doi          = {10.1007/978-3-662-46681-0_47},
  volume       = {9035},
  year         = {2015},
}

@article{1542,
  abstract     = {The theory of population genetics and evolutionary computation have been evolving separately for nearly 30 years. Many results have been independently obtained in both fields and many others are unique to its respective field. We aim to bridge this gap by developing a unifying framework for evolutionary processes that allows both evolutionary algorithms and population genetics models to be cast in the same formal framework. The framework we present here decomposes the evolutionary process into its several components in order to facilitate the identification of similarities between different models. In particular, we propose a classification of evolutionary operators based on the defining properties of the different components. We cast several commonly used operators from both fields into this common framework. Using this, we map different evolutionary and genetic algorithms to different evolutionary regimes and identify candidates with the most potential for the translation of results between the fields. This provides a unified description of evolutionary processes and represents a stepping stone towards new tools and results to both fields. },
  author       = {Paixao, Tiago and Badkobeh, Golnaz and Barton, Nicholas H and Çörüş, Doğan and Dang, Duccuong and Friedrich, Tobias and Lehre, Per and Sudholt, Dirk and Sutton, Andrew and Trubenova, Barbora},
  journal      = {Journal of Theoretical Biology},
  pages        = {28 -- 43},
  publisher    = {Elsevier},
  title        = {{Toward a unifying framework for evolutionary processes}},
  doi          = {10.1016/j.jtbi.2015.07.011},
  volume       = {383},
  year         = {2015},
}

@article{1666,
  abstract     = {Evolution of gene regulation is crucial for our understanding of the phenotypic differences between species, populations and individuals. Sequence-specific binding of transcription factors to the regulatory regions on the DNA is a key regulatory mechanism that determines gene expression and hence heritable phenotypic variation. We use a biophysical model for directional selection on gene expression to estimate the rates of gain and loss of transcription factor binding sites (TFBS) in finite populations under both point and insertion/deletion mutations. Our results show that these rates are typically slow for a single TFBS in an isolated DNA region, unless the selection is extremely strong. These rates decrease drastically with increasing TFBS length or increasingly specific protein-DNA interactions, making the evolution of sites longer than ∼ 10 bp unlikely on typical eukaryotic speciation timescales. Similarly, evolution converges to the stationary distribution of binding sequences very slowly, making the equilibrium assumption questionable. The availability of longer regulatory sequences in which multiple binding sites can evolve simultaneously, the presence of “pre-sites” or partially decayed old sites in the initial sequence, and biophysical cooperativity between transcription factors, can all facilitate gain of TFBS and reconcile theoretical calculations with timescales inferred from comparative genomics.},
  author       = {Tugrul, Murat and Paixao, Tiago and Barton, Nicholas H and Tkacik, Gasper},
  journal      = {PLoS Genetics},
  number       = {11},
  publisher    = {Public Library of Science},
  title        = {{Dynamics of transcription factor binding site evolution}},
  doi          = {10.1371/journal.pgen.1005639},
  volume       = {11},
  year         = {2015},
}

@article{1883,
  abstract     = {We introduce a one-parametric family of tree growth models, in which branching probabilities decrease with branch age τ as τ-α. Depending on the exponent α, the scaling of tree depth with tree size n displays a transition between the logarithmic scaling of random trees and an algebraic growth. At the transition (α=1) tree depth grows as (logn)2. This anomalous scaling is in good agreement with the trend observed in evolution of biological species, thus providing a theoretical support for age-dependent speciation and associating it to the occurrence of a critical point.
},
  author       = {Keller-Schmidt, Stephanie and Tugrul, Murat and Eguíluz, Víctor and Hernandez Garcia, Emilio and Klemm, Konstantin},
  journal      = {Physical Review E},
  number       = {2},
  publisher    = {American Physical Society},
  title        = {{Anomalous scaling in an age-dependent branching model}},
  doi          = {10.1103/PhysRevE.91.022803},
  volume       = {91},
  year         = {2015},
}

@article{2252,
  abstract     = {The pattern of inheritance and mechanism of sex determination can have important evolutionary consequences. We studied probabilistic sex determination in the ciliate Tetrahymena thermophila, which was previously shown to cause evolution of skewed sex ratios. We find that the genetic background alters the sex determination patterns of mat alleles in heterozygotes and that allelic interaction can differentially influence the expression probability of the 7 sexes. We quantify the dominance relationships between several mat alleles and find that A-type alleles, which specify sex I, are indeed recessive to B-type alleles, which are unable to specify that sex. Our results provide additional support for the presence of modifier loci and raise implications for the dynamics of sex ratios in populations of T. thermophila.},
  author       = {Phadke, Sujal and Paixao, Tiago and Pham, Tuan and Pham, Stephanie and Zufall, Rebecca},
  issn         = {0022-1503},
  journal      = {Journal of Heredity},
  number       = {1},
  pages        = {130 -- 135},
  publisher    = {Oxford University Press},
  title        = {{Genetic background alters dominance relationships between mat alleles in the ciliate Tetrahymena Thermophila}},
  doi          = {10.1093/jhered/est063},
  volume       = {105},
  year         = {2014},
}

