Inferring fitness landscapes

Evolution

Volumn 64, Issue 9, 2010, Pages 2510-2520

  Shaw, Ruth G ^a   Geyer, Charles J ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Aster models; Fitness components; Life history; Multiple regression; Natural selection

Indexed keywords

ACCURACY ASSESSMENT; CURVATURE; DATA SET; FITNESS; FREQUENCY ANALYSIS; LANDSCAPE; LIFE HISTORY TRAIT; NATURAL SELECTION; NUMERICAL MODEL; REGRESSION ANALYSIS;

ARTICLE; EVALUATION; GENETIC SELECTION; PHENOTYPE; REGRESSION ANALYSIS; THEORETICAL MODEL;

MODELS, THEORETICAL; PHENOTYPE; REGRESSION ANALYSIS; SELECTION, GENETIC;

EID: 77956417806     PISSN: 00143820     EISSN: 15585646     Source Type: Journal    
DOI: 10.1111/j.1558-5646.2010.01010.x     Document Type: Article

References (48)

1. Akaike H. Information theory and an extension of the maximum likelihood principle. Second International Symposium on Information Theory 1973, 267-281.
2. Andrews D F, Gnanadesikan R, Warner J L. Transformations of multivariate data. Biometrics 1971, 27:825-840.
3. Arnold S J, Wade M J. On the measurement of natural and sexual selection: theory. Evolution 1984a, 38:709-719.
4. Arnold S J, Wade M J. On the measurement of natural and sexual selection: applications. Evolution 1984b, 38:720-734.
5. Barndorff-Nielsen O E. Information and Exponential Families 1978, Wiley, Chichester, U.K
6. Bernardo R J. What if we knew all the genes for a quantitative trait in hybrid crops?. Crop Sci. 2001, 41:1-4.
7. Blows M W, Brooks R. Measuring nonlinear selection. Am. Nat. 2003, 162:815-820.
8. Bulmer M G. The genetic variability of polygenic characters under optimizing selection, mutation, and drift. Genet. Res. 1972, 19:17-25.
9. Bumpus H C. The elimination of the unfit as illustrated by the introduced sparrow, Passer domesticus. Biol. Lectures, Woods Hole Marine Biol. Station 1899, 6:209-226.
10. Burnham K P, Anderson D R. Model Selection and multimodel inference: a practical information-theoretic approach 2002, 2nd ed, Springer-Verlag, New York
11. Charlesworth B. Evolution in age-structured populations 1980, Cambridge Univ. Press, Cambridge
12. Cook R D. Fisher lecture: Dimension reduction in regression (with discussion). Stat. Sci. 2007, 22:1-43.
13. Cox D R. Notes on some aspects of regression analysis. J. R. Stat. Soc., Ser. A 1968, 131:265-279.
14. Crow J F, Kimura M. An introduction to population genetics theory 1970, Harper & Row, New York
15. Endler J A. Natural Selection in the Wild 1986, Princeton Univ. Press, Princeton, NJ
16. Felsenstein J. Inferring phylogenies 2004, Sinauer, Sunderland, MA
17. Furnival G M, Wilson R W. Regressions by leaps and bounds. Technometrics 1974, 16:499-511.
18. Geyer C J, Shaw R G. Supporting data analysis for a talk to be given at Evolution 2008 Univ. of Minnesota, June 20-24. 2008a, http://purl.umn.edu/56204, Technical Report No. 669, Sch. of Statistics, Univ. of Minnesota
19. Geyer C J, Shaw R G. Commentary on Lande-Arnold analysis. 2008b, http://purl.umn.edu/56218, Technical Report No. 670. Sch. of Statistics, Univ. of Minnesota
20. Geyer C J, Shaw R G. Model selection in estimation of fitness landscapes. 2009, http://purl.umn.edu/56219, Technical Report No. 671, revised. Sch. of Statistics, Univ. of Minnesota
21. Geyer C J, Shaw R G. Hypothesis tests and confidence intervals involving fitness landscapes fit by Aster models. 2010a, http://purl.umn.edu/56328, Technical Report No. 674, revised. Sch. of Statistics, Univ. of Minnesota
22. Geyer C J, Shaw R G. Aster Models and Lande-Arnold Beta. 2010b, http://purl.umn.edu/56394, Technical Report No. 675 revised. School of Statistics, Univ. of Minnesota
23. Geyer C J, Wagenius S, Shaw R G. Aster models for life history analysis. Biometrika 2007, 94:415-426.
24. Hand D J. Branch and bound in statistical data analysis. The Statistician 1981, 30:1-13.
25. Hastie T, Tibshirani R, Friedman J. The elements of statistical learning 2009, 2nd ed, Springer-Verlag, New York
26. Hill W G, Thompson R. Probabilities of non-positive definite between-group or genetic covariance matrices. Biometrics 1978, 34:429-439.
27. Hoeting J A, Madigan D, Raftery A E, Volinsky C T. Bayesian model averaging: A tutorial (with discussion). Stat. Sci. 1999, 19:382-417. http://www.stat.washington.edu/, http://www/research/online/1999/hoeting.pdf, Corrected version available at
28. Janzen F J, Stern H S. Logistic regression for empirical studies of multivariate selection. Evolution 1998, 52:1564-1571.
29. Kingsolver J G, Hoekstra H E, Hoekstra J M, Berrigan D, Vignieri S N, Hill C E, Hoang A, Gilbert P, Beerli P. The strength of phenotypic selection in natural populations. Am. Nat. 2001, 157:245-261.
30. Lande R, Arnold S J. The measurement of selection on correlated characters. Evolution 1983, 37:1210-1226.
31. Lindgren B W. Statistical theory 1993, 4th ed, Chapman & Hall, New York
32. Madigan D, Raftery A E. Model selection and accounting for model uncertainty in graphical models using Occam's window. J. Am. Stat. Assoc. 1994, 89:1535-1546.
33. McGraw J B, Caswell H. Estimation of individual fitness from life-history data. Am. Nat. 1996, 147:47-64.
34. Mitchell-Olds T, Shaw R G. Regression analysis of natural selection: statistical inference and biological interpretation. Evolution 1987, 41:1149-1161.
35. R: A language and environment for statistical computing 2006, http://www.r-project.org, R Development Core Team, R Foundation for Statistical Computing, Vienna, Available at
36. Riani M. Robust multivariate transformations to normality: constructed variables and likelihood ratio tests. Statistical Methods & Applications 2004, 13:179-196.
37. Rockafellar R T, Wets R J-B. Variational analysis, corr 2004, 2nd printing, Springer-Verlag, Berlin
38. Schluter D. Estimating the form of natural selection on a quantitative trait. Evolution 1988, 42:849-861.
39. Schluter D, Nychka D. Exploring fitness surfaces. Am. Nat. 1994, 143:597-616.
40. Schwarz G. Estimating the dimension of a model. Annals. Stat. 1978, 6:461-464.
41. Shaw R G, Geyer C J, Wagenius S, Hangelbroek H H, Etterson J R. Unifying life history analysis for inference of fitness and population growth. Am. Nat. 2008, 172:E35-E47.
42. Stinchcombe J R, Agrawal A F, Hohenlohe P A, Arnold S J, Blows M W. Estimating nonlinear selection gradients using quadratic regression coefficients: double or nothing?. Evolution 2008, 62:2435-2440.
43. Sugiura N. Further analysis of the data by Akaike's information criterion and the finite corrections. Communications in Statistics, Theory and Methods 1978, A7:13-26.
44. Travis J. The role of optimizing selection in natural populations. Ann. Rev. Ecol. Syst. 1989, 20:279-296.
45. Turelli M. Phenotypic evolution, constant covariances, and the maintenance of additive variance. Evolution 1988, 42:1342-1347.
46. van Tienderen P H. Elasticities and the link between demographic and evolutionary dynamics. Ecology 2000, 81:666-679.
47. Wade M J, Kalisz S. The additive partitioning of selection gradients. Evolution 1989, 43:1567-1569.
48. Weldon W F R. An attempt to measure the death-rate due to the selective destruction of Carcinus moenas with respect to a particular dimension. R. Soc. Lond. B. 1895, 57:360-379.