The topology of the possible: formal spaces underlying patterns of evolutionary change.

By B. Stadler, Peter F. Stadler, Günter P. Wagner, W. Fontana. Journal of Theoretical Biology, 2001

1,767 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/0791af4f93a61a76e4925d728a6c2683f1870f8a

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Citations in the corpus

Technology as Problem-Solving Procedures and Technology as Input-Output Relations: Some Perspectives on the Theory of Production (2006, background): “A somewhat similar problem, which the authors of this article found to be a tall challenging analogy is, in biology, the mapping between genetic structures and phenotypical characters which are in fact subject to environmental selection: see Stadler et al. (2001).”
The Concept of Morphospaces in Evolutionary and Developmental Biology: Mathematics and Metaphors (2009, background): “But it allows several inferences that are likely to apply to the realm of macroscopic anatomy as well (see also Stadler et al. 2001).”
Functional Versus Morphological Diversity in Macroevolution (2007, neutral): “…(Carroll 2001, Collar et al. 2005, Erwin 2007, Foote 1997, Gavrilets & Vose 2005, Harmon et al. 2003, Losos & Miles 2002, Losos et al. 1998, Lovette et al. 2002, Niklas 1986, 2004, Ricklefs 2006, Schaefer & Lauder 1996, Stadler et al. 2001, Vermeij 1973, Wagner et al. 2006, Warheit et al. 1999).”
The Continuous pi-Calculus: A Process Algebra for Biochemical Modelling (2008, neutral): “The methods applied to study this phenomenon range from pure mathematics [20] to exhaustive computations [21].”
Typology now: homology and developmental constraints explain evolvability (2007, neutral): “…approach is strongly influenced by the recent account of Günter Wagner and his collaborators, who have worked towards a mathematical account of homologues as units of evolution, explicating the concept of a character (Wagner and Laubichler 2000; Stadler et al. 2001; Wagner and Stadler 2003).”
The Wind Driven Optimization Technique and its Application in Electromagnetics (2013, background): “Along with the GA, Particle Swarm Optimization (PSO) [2], Ant Colony Optimization (ACO) [3], Differential Evolution (DE) [4], [5], Clonal Selection Algorithm (CLONALG) [6], Covariance Matrix Adaptation Evolutionary Strategy (CMA-ES) [7] and many others have been proposed and successfully implemented”
Why We Need a Generalized Darwinism, And Why Generalized Darwinism is Not Enough (2006, neutral): “Nevertheless, even if phylogeny it is less important, development requires both phylogeny and ontogeny (Stadler et al., 2001).”
Economic Opportunity and Evolution: Beyond Landscapes and Bounded Rationality (2013, neutral): “Scholars of course have tried to capture the developmental portions of the evolution of organisms mathematically, for example, in an effort to map the “topology of the possible” (Fontana and Schuster, 1998; Stadler et al., 2001).”
Clonal Selection Algorithm for Design of Reconfigurable Antenna Array with Discrete Phase Shifters (2007, methodology): “The method is based on the clonal selection algorithm (CLONALG) [9].”
Recombination Spaces, Metrics, and Pretopologies (2002, background): “Pretopologies provide a meaningful theory of neighborhood systems without recourse to open sets, which do not seem to arise naturally in the context of either genotype or phenotype spaces [ 27 ].”
Technical Change and Industrial Dynamics as Evolutionary Processes (2009, neutral): “A somewhat similar problem in biology is the mapping between genotypic and phenotypic structures: cf. Stadler et al (2001).”
A brief review of shape, form, and allometry in geometric morphometrics, with applications to human facial morphology (2013, background): “Shape space and form space Mathematical spaces are widely used in the sciences to represent relationships between complex objects (e.g., Stadler et al. 2001; Mitteroecker and Huttegger 2009).”