T. Bodin and M. Sambridge, Seismic tomography with the reversible jump algorithm, Geophysical Journal International, vol.178, issue.3, pp.1411-1436, 2009.
DOI : 10.1111/j.1365-246X.2009.04226.x

J. Braun, P. Van-der-beek, and G. Batt, Quantitative Thermochronology, pp.10-1017, 2006.
DOI : 10.1017/CBO9780511616433

URL : https://hal.archives-ouvertes.fr/insu-00379639

W. D. Carlson, R. A. Donelick, and R. A. Ketcham, Variability of apatite fission-track annealing kinetics; I, Experimental results, American Mineralogist, vol.84, issue.9, pp.1213-1223, 1999.
DOI : 10.2138/am-1999-0901

K. Charvin, K. Gallagher, G. Hampson, and R. Labourdette, A Bayesian approach to inverse modelling of stratigraphy, part 1: method, Basin Research, vol.18, issue.1, pp.5-25, 2009.
DOI : 10.1111/j.1365-2117.2008.00369.x

URL : https://hal.archives-ouvertes.fr/insu-00376285

J. P. Colgan, T. A. Dumitru, P. W. Reiners, J. L. Wooden, and E. L. Miller, Cenozoic Tectonic Evolution of the Basin and Range Province in Northwestern Nevada, American Journal of Science, vol.306, issue.8, pp.616-65402, 2006.
DOI : 10.2475/08.2006.02

J. Corrigan, Inversion of apatite fission track data for thermal history information, Journal of Geophysical Research, vol.56, issue.B6, pp.347-1010, 1991.
DOI : 10.1029/91JB00514

M. H. Dodson, Closure temperature in cooling geochronological and petrological systems, Contributions to Mineralogy and Petrology, vol.3, issue.2, pp.259-27410, 1973.
DOI : 10.1007/BF00373790

R. A. Donelick, R. A. Ketcham, and W. D. Carlson, Variability of apatite fission-track annealing kinetics; II, Crystallographic orientation effects, American Mineralogist, vol.84, issue.9, pp.1224-1234, 1999.
DOI : 10.2138/am-1999-0902

B. Efron and R. Tibshirani, An Introduction to the Bootstrap, 1993.
DOI : 10.1007/978-1-4899-4541-9

K. A. Farley, Helium diffusion from apatite: General behavior as illustrated by Durango fluorapatite, Journal of Geophysical Research: Solid Earth, vol.51, issue.B2, pp.2903-291410, 2000.
DOI : 10.1029/1999JB900348

K. Gallagher, Evolving temperature histories from apatite fission-track data, Earth and Planetary Science Letters, vol.136, issue.3-4, pp.421-43510, 1995.
DOI : 10.1016/0012-821X(95)00197-K

K. Gallagher, J. A. Stephenson, R. W. Brown, C. C. Holmes, and P. Fitzgerald, Low temperature thermochronology and modeling strategies for multiple samples 1: Vertical profiles, Earth and Planetary Science Letters, vol.237, issue.1-2, pp.193-208, 2005.
DOI : 10.1016/j.epsl.2005.06.025

K. Gallagher, K. Charvin, S. Nielsen, M. Sambridge, and J. Stephenson, Markov chain Monte Carlo (MCMC) sampling methods to determine optimal models, model resolution and model choice for Earth Science problems, Marine and Petroleum Geology, vol.26, issue.4, pp.525-535, 2009.
DOI : 10.1016/j.marpetgeo.2009.01.003

URL : https://hal.archives-ouvertes.fr/insu-00381707

A. J. Gleadow, I. R. Duddy, P. F. Green, and J. F. Lovering, Confined fission track lengths in apatite: a diagnostic tool for thermal history analysis, Contributions to Mineralogy and Petrology, vol.15, issue.4, pp.405-41510, 1986.
DOI : 10.1007/BF00376334

P. F. Green, I. R. Duddy, A. J. Gleadow, P. R. Tingate, and G. M. Laslett, Thermal annealing of fission tracks in apatite, Chemical Geology: Isotope Geoscience section, vol.59, issue.86, pp.237-25310, 1986.
DOI : 10.1016/0168-9622(86)90074-6

P. F. Green, I. R. Duddy, G. M. Laslett, K. A. Hegarty, A. J. Gleadow et al., Thermal annealing of fission tracks in apatite 4. Quantitative modelling techniques and extension to geological timescales, Chemical Geology: Isotope Geoscience section, vol.79, issue.2, pp.155-18210, 1989.
DOI : 10.1016/0168-9622(89)90018-3

P. J. Green, Reversible jump Markov chain Monte Carlo computation and Bayesian model determination, Biometrika, vol.82, issue.4, pp.711-732, 1995.
DOI : 10.1093/biomet/82.4.711

T. M. Harrison, M. Grove, O. M. Lobvera, and P. K. Zeitler, Continuous Thermal Histories from Inversion of Closure Profiles, Reviews in Mineralogy and Geochemistry, vol.58, issue.1, pp.389-409, 2005.
DOI : 10.2138/rmg.2005.58.15

P. Hopcroft, K. Gallagher, and C. C. Pain, Inference of past climate from borehole temperature data using Bayesian Reversible Jump Markov chain Monte Carlo, Geophysical Journal International, vol.171, issue.3, pp.1430-1439, 2007.
DOI : 10.1111/j.1365-246X.2007.03596.x

URL : https://hal.archives-ouvertes.fr/insu-00221388

P. Hopcroft, K. Gallagher, and C. C. Pain, A Bayesian partition modelling approach to resolve spatial variability in climate records from borehole temperature inversion, Geophysical Journal International, vol.178, issue.2, pp.651-666, 2009.
DOI : 10.1111/j.1365-246X.2009.04192.x

URL : https://hal.archives-ouvertes.fr/insu-00424558

A. Jasra, D. A. Stephens, K. Gallagher, and C. C. Holmes, Bayesian Mixture Modelling in Geochronology via Markov Chain Monte Carlo, Mathematical Geology, vol.224, issue.1, pp.269-30010, 2006.
DOI : 10.1007/s11004-005-9019-3

S. M. Jones and R. K. Dokka, Modeling fission track annealing in apatite: An assessment of uncertainties, International Journal of Radiation Applications and Instrumentation. Part D. Nuclear Tracks and Radiation Measurements, vol.17, issue.3, pp.255-26010, 1990.
DOI : 10.1016/1359-0189(90)90043-W

R. A. Ketcham, Forward and Inverse Modeling of Low-Temperature Thermochronometry Data, Reviews in Mineralogy and Geochemistry, vol.58, issue.1, pp.275-314, 2005.
DOI : 10.2138/rmg.2005.58.11

R. A. Ketcham, R. A. Donelick, and W. D. Carlson, Variability of apatite fission-track annealing kinetics; III, Extrapolation to geological time scales, American Mineralogist, vol.84, issue.9, pp.1235-1255, 1999.
DOI : 10.2138/am-1999-0903

R. A. Ketcham, R. A. Donelick, and M. B. Donelick, AFTSolve: A program for multi-kinetic modeling of apatite fission-track data, Geol. Mater. Res, vol.2, pp.1-32, 2000.

R. A. Ketcham, A. Carter, R. A. Donelick, J. Barbarand, and A. J. Hurford, Improved modeling of fission-track annealing in apatite, American Mineralogist, vol.92, issue.5-6, pp.799-810, 2007.
DOI : 10.2138/am.2007.2281

G. M. Laslett, P. F. Green, I. R. Duddy, and A. J. Gleadow, Thermal annealing of fission tracks in apatite 2. A quantitative analysis, Chemical Geology: Isotope Geoscience section, vol.65, issue.1, pp.1-1310, 1987.
DOI : 10.1016/0168-9622(87)90057-1

T. M. Lutz and G. I. Omar, An inverse method of modeling thermal histories from apatite fission-track data, Earth and Planetary Science Letters, vol.104, issue.2-4, pp.181-19510, 1991.
DOI : 10.1016/0012-821X(91)90203-T

A. Malinverno, Parsimonious Bayesian Markov chain Monte Carlo inversion in a nonlinear geophysical problem, Geophysical Journal International, vol.151, issue.3, pp.675-688, 2002.
DOI : 10.1046/j.1365-246X.2002.01847.x

P. Agostinetti, N. , and A. Malinverno, Receiver function inversion by transdimensional Monte Carlo sampling, Geophys, J. Int, vol.181, pp.858-872, 2010.
DOI : 10.1111/j.1365-246x.2010.04530.x

URL : http://gji.oxfordjournals.org/cgi/content/short/181/2/858

P. W. Reiners and K. A. Farley, Influence of crystal size on apatite (U???Th)/He thermochronology: an example from the Bighorn Mountains, Wyoming, Earth and Planetary Science Letters, vol.188, issue.3-4, pp.413-42010, 2001.
DOI : 10.1016/S0012-821X(01)00341-7

P. W. Reiners, T. L. Spell, S. Nicolescu, and K. A. Zanetti, Zircon (U-Th)/He thermochronometry: He diffusion and comparisons with 40Ar/39Ar dating, Geochimica et Cosmochimica Acta, vol.68, issue.8, pp.1857-1887, 2004.
DOI : 10.1016/j.gca.2003.10.021

M. Sambridge, K. Gallagher, A. Jackson, and P. Rickwood, Trans-dimensional inverse problems, model comparison and the evidence, Geophysical Journal International, vol.167, issue.2, pp.528-542, 2006.
DOI : 10.1111/j.1365-246X.2006.03155.x

J. Scales and R. Snieder, What is noise?, Geophysics, pp.1122-1124, 1998.

G. Schwarz, Estimating the Dimension of a Model, The Annals of Statistics, vol.6, issue.2, pp.461-464, 1978.
DOI : 10.1214/aos/1176344136

J. Stephenson, K. Gallagher, and C. Holmes, Low temperature thermochronology and strategies for multiple samples, Earth and Planetary Science Letters, vol.241, issue.3-4, pp.557-570, 2006.
DOI : 10.1016/j.epsl.2005.11.027

J. Stephenson, K. Gallagher, and C. Holmes, A Bayesian approach to calibrating apatite fission track annealing models for laboratory and geological timescales, Geochimica et Cosmochimica Acta, vol.70, issue.20, pp.5183-5200, 2006.
DOI : 10.1016/j.gca.2006.07.027

S. D. Willett, Inverse modeling of annealing of fission tracks in apatite; 1, A controlled random search method, American Journal of Science, vol.297, issue.10, pp.939-969, 1997.
DOI : 10.2475/ajs.297.10.939

K. Gallagher and G. , Université de Rennes 1, Campus de Beaulieu, F-35042 Rennes CEDEX