Exploring variation in fitness surfaces over time or space

Evolution

Volumn 66, Issue 4, 2012, Pages 1126-1137

  Calsbeek, Brittny ^a  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

Natural selection; Projection pursuit regression; Tensor decomposition

Indexed keywords

ECOLOGICAL MODELING; ESTIMATION METHOD; FITNESS; MULTIVARIATE ANALYSIS; NATURAL SELECTION; PRINCIPAL COMPONENT ANALYSIS; REGRESSION ANALYSIS;

ARTICLE; BIOLOGICAL MODEL; EVOLUTION; GENETIC SELECTION; NONPARAMETRIC TEST; PHENOTYPE; PRINCIPAL COMPONENT ANALYSIS; REPRODUCTIVE FITNESS; TIME;

BIOLOGICAL EVOLUTION; GENETIC FITNESS; MODELS, GENETIC; PHENOTYPE; PRINCIPAL COMPONENT ANALYSIS; SELECTION, GENETIC; STATISTICS, NONPARAMETRIC; TIME FACTORS;

EID: 84859441050     PISSN: 00143820     EISSN: 15585646     Source Type: Journal    
DOI: 10.1111/j.1558-5646.2011.01503.x     Document Type: Article

References (31)

1. Alter, O., and G. H. Golub 2005. Reconstructing the pathways of a cellular system from genome-scale signals by using matrix and tensor computations. Proc. Natl. Acad. Sci. USA 102:17559-17564.
2. Alter, O., P. O. Brown, and D. Botstein 2000. Singular value decomposition for genome-wide expression data processing and modeling. Proc. Natl. Acad. Sci. USA 97:10101-10106.
3. Andersson, C. A., and R. Bro 2000. The N-way toolbox for MATLAB. Chemo. Intell. Lab. Syst. 52:1-4.
4. Bellman, R. E. 1961. Adaptive control processes. Princeton Univ. Press, Princeton, NJ
5. Blows, M. W., R. Brooks, and P. G. Kraft 2003. Exploring complex fitness surfaces: multiple ornamentation and polymorphism in male guppies. Evolution 57:1622-1630.
6. Bolnick, D. I., and O. L. Lau 2008. Predictable patterns of disruptive selection in stickleback in postglacial lakes. Am. Nat. 172:1-11.
7. Brodie, E. D. I., A. J. Moore, and F. J. Janzen 1995. Visualizing and quantifying natural-selection. Trends Ecol. Evol. 10:313-318.
8. Efron, B., and R. J. Tibshirani 1993. An introduction to the bootstrap. Chapman & Hall/CRC, Boca Raton, FL
9. Endler, J. A. 1986. Natural selection in the wild. Princeton Univ. Press, Princeton, NJ
10. Hine, E., S. F. Chenoweth, H. D. Rundle, and M. W. Blows 2009. Characterizing the evolution of genetic variance using genetic covariance tensors. Philos. Trans. R. Soc. Lond. B 364:1567-1578.
11. Kiers, H. A. L. 2005. Bootstrap confidence intervals for three-way methods. J. Chemometr. 18:22-36.
12. Kingsolver, J. G. H., H. E. Hoekstra, J. M. Hoekstra, D. Berrigan, S. N. Vignieri, C. E. Hill, A. Hoang, P. Gilbert, and P. Beerli 2001. The strength of phenotypic selection in natural populations. Am. Nat. 157:245-261.
13. Kolda, T. G., and B. W. Bader 2009. Tensor decompositions and applications. SIAM Rev. 51:455-500.
14. Kroonenberg, P. M. 2008. Applied multiway data analysis. Wiley & Sons, Inc., New Jersey
15. Lande, R., and S. J. Arnold 1983. The measurement of selection on correlated characters. Evolution 37:1210-1226.
16. Luo, D., C. Ding, and H. Heng 2011. Are tensor decomposition solutions unique? On the global convergence of HOSVD and ParaFac algorithms. Pp. 148-159 in J. Huang, C. Longbing, and J. Srivastava, eds. Advances in knowledge discovery and data mining. Springer, Berlin/Heidelberg
17. Omberg, L., G. H. Golub, and O. Alter 2007. A tensor higher-order singular value decomposition for integrative analysis of DNA microarray data from different studies. Proc. Natl. Acad. Sci. USA 104:18371-18376.
18. Phillips, P. C., and S. J. Arnold 1989. Visualizing multivariate selection. Evolution 43:1209-1222.
19. Phillips, P. C., and S. J. Arnold 1999. Hierarchical comparison of genetic variance-covariance matrices. I. Using the Flury hierarchy. Evolution 53:1506-1515.
20. Provine, W. B. 1986. Sewall Wright and evolutionary biology. The University of Chicago Press, Chicago
21. Reynolds, R. J., D. K. Childers, and N. M. Pajewski 2010a. The distribution and hypothesis testing of eigenvalues from the canonical analysis of the gamma matrix of quadratic and correlational selection gradients. Evolution 64:1076-1085.
22. Reynolds, R. J., M. R. Dudash, and C. B. Fenster 2010b. Multiyear study of multivariate linear and nonlinear phenotypic selection on floral traits of hummingbird-pollinated Silene virginica. Evolution 64:358-369.
23. Rice, S. H. 2002. A general population genetic theory for the evolution of developmental interactions. Proc. Natl. Acad. Sci. USA 99:15518-15523.
24. Rice, S. H. 2005. Developmental association between traits: covariance and beyond. Genetics 166:513-526.
25. Rundle, H. D., S. F. Chenoweth, and M. W. Blows 2008. Comparing complex fitness surfaces: among-population variation in mutual sexual selection in Drosophila serrata. Am. Nat. 171:443-454.
26. Schluter, D. 1988. Estimating the form of natural selection on a quantitative trait. Evolution 42:849-861.
27. Schluter, D., and D. Nychka 1994. Exploring fitness surfaces. Am. Nat. 143:597-616.
28. Smith, T. B. 1990. Natural-selection on bill characters in the 2 bill morphs of the African finch Pyrenestes ostrinus. Evolution 44:832-842.
29. Stinchcombe, J. R., A. F. Agrawal, P. Hohenlohe, S. J. Arnold, and M. W. Blows 2008. Estimating nonlinear selection gradients using quadratic regression coefficients: double or nothing? Evolution 62:2435-2440.
30. Tucker, L. R. 1966. Some mathematical notes on three-mode factor analysis. Psychometrika 31:279-311.
31. Wright, S. 1932. The roles of mutation, inbreeding, crosbreeding, and selection in evolution. Proc. 6th Int. Cong. Genetics. 1:356-366.