A. Agnelli, S. E. Trumbore, G. Corti, and F. Ugolini, The dynamics of organic matter in rock fragments in soil investigated by 14C dating and measurements of 13C, European Journal of Soil Science, vol.53, issue.1, pp.147-159, 2002.

W. Baisden, R. Amundson, A. Cook, and D. Brenner, Turnover and storage of C and N in five density fractions from California annual grassland surface soils, Global Biogeochemical Cycles, vol.16, issue.4, pp.64-65, 2002.

J. Balesdent and B. Guillet, Les datations par le 14C desmatì eres organiques des sols. contributionàcontributionà l'´ etude de l'humification et du renouvellement des substances humiques, Science du sol, vol.2, pp.93-111, 1982.

I. Basile-doelsch, R. Amundson, W. Stone, C. Masiello, J. Y. Bottero et al., Mineralogical control of organic carbon dynamics in a volcanic ash soil on la Réunion, European Journal of Soil Science, vol.56, issue.6, pp.689-703, 2005.

P. Becker-heidmann, O. Andresen, D. Kalmar, H. Scharpenseel, Y. et al., Carbon dynamics in vertisols as revealed by high-resolution sampling, Radiocarbon, vol.44, issue.1, pp.63-73, 2002.

P. Becker-heidmann and H. Scharpenseel, Thin layer ?13C and D14C monitoring of "lessive" soil profiles, Radiocarbon, vol.28, issue.2A, pp.383-390, 1986.
DOI : 10.1017/s0033822200007499

P. Becker-heidmann and H. W. Scharpenseel, Carbon isotope dynamics in some tropical soils, Radiocarbon, vol.31, issue.3, pp.672-679, 1989.
DOI : 10.1017/s0033822200012273

S. H. Biedenbender, M. P. Mcclaran, J. Quade, and M. A. Weltz, Landscape patterns of vegetation change indicated by soil carbon isotope composition, Geoderma, vol.119, issue.1-2, pp.69-83, 2004.

R. Bol, Y. Huang, J. Meridith, G. Eglinton, D. Harkness et al., The 14C age and residence time of organic matter and its lipid constituents in a stagnohumic gley soil, European Journal of Soil Science, vol.47, issue.2, pp.215-222, 1996.

D. Butman, P. Raymond, N. Oh, and K. Mull, Quantity, 14C age and lability of desorbed soil organic carbon in fresh water and seawater, Organic Geochemistry, vol.38, issue.9, pp.1547-1557, 2007.

L. Caner and G. Bourgeon, Sur les possibilités de reconstitution paléo-environnementale offertes par les andosols des hautes terres tropicales, Comptes Rendus de l'Académie des Sciences-Series IIA-Earth and Planetary Science, vol.333, issue.11, pp.725-731, 2001.
DOI : 10.1016/s1251-8050(01)01683-4

L. Caner, D. L. Seen, Y. Gunnell, B. R. Ramesh, B. et al., Spatial heterogeneity of land cover response to climatic change in the Nilgiri highlands (southern India) since the Last Glacial Maximum. The Holocene, vol.17, pp.195-205, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00255867

L. Caner, F. Toutain, G. Bourgeon, and A. Herbillon, Occurrence of sombric-like subsurface a horizons in some andic soils of the Nilgiri Hills (Southern India) and their palaeoecological significance, Geoderma, vol.117, issue.3-4, pp.251-265, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00258683

A. Chabbi, I. Kögel-knabner, and C. Rumpel, Stabilised carbon in subsoil horizons is located in spatially distinct parts of the soil profile, Soil Biology and Biochemistry, vol.41, issue.2, pp.256-261, 2009.
URL : https://hal.archives-ouvertes.fr/bioemco-00358790

Q. Chen, Y. Sun, C. Shen, S. Peng, W. Yi et al., Organic matter turnover rates and CO2 flux from organic matter decomposition of mountain soil profiles in the subtropical area, south China, Catena, vol.49, issue.3, pp.217-229, 2002.

A. Cherkinsky, 14C Dating and Soil Organic Matter Dynamics in Arctic and Subarctic Ecosystems, Radiocarbon, vol.38, issue.2, pp.241-245, 1996.

, Conclusion 7.4 References soil carbon database profiles 188

A. Cherkinsky and V. Brovkin, Dynamics of radiocarbon in soils, Radiocarbon, vol.35, issue.3, pp.363-367, 1993.

T. Chiti, R. Neubert, I. Janssens, G. Certini, J. C. Yuste et al., Radiocarbon dating reveals different past managements of adjacent forest soils in the Campine region, Geoderma, vol.149, issue.1-2, pp.137-142, 2009.

T. Chiti, D. Papale, P. Smith, D. Dalmonech, G. Matteucci et al., Predicting changes in soil organic carbon in mediterranean and alpine forests during the Kyoto Protocol commitment periods using the CENTURY model. Soil use and management, vol.26, pp.475-484, 2010.

F. Conen, K. Karhu, J. Leifeld, B. Seth, P. Vanhala et al., Temperature sensitivity of young and old soil carbon-same soil, slight differences in 13C natural abundance method, inconsistent results, Soil Biology and Biochemistry, vol.40, issue.10, pp.2703-2705, 2008.

H. A. De-freitas, L. C. Pessenda, R. Aravena, S. E. Gouveia, A. De-souza-ribeiro et al., Late quaternary vegetation dynamics in the southern Amazon basin inferred from carbon isotopes in soil organic matter, Quaternary Research, vol.55, issue.1, pp.39-46, 2001.

T. Desjardins, F. Andreux, B. Volkoff, C. , and C. , Organic carbon and 13C contents in soils and soil size-fractions, and their changes due to deforestation and pasture installation in eastern Amazonia, Geoderma, pp.103-118, 1994.

H. Dörr and K. Münnich, Downward movement of soil organic matter and its influence on trace-element transport (210 Pb, 137 Cs) in the soil, Radiocarbon, vol.31, issue.3, pp.655-663, 1989.

A. Dümig, P. Schad, C. Rumpel, M. Dignac, and I. Knabner, Araucaria forest expansion on grassland in the southern Brazilian highlands as revealed by 14C and ?13C studies, Geoderma, vol.145, issue.1-2, pp.143-157, 2008.

A. Elzein and J. Balesdent, Mechanistic simulation of vertical distribution of carbon concentrations and residence times in soils, Soil Science Society of America Journal, vol.59, issue.5, pp.1328-1335, 1995.

F. Favilli, M. Egli, P. Cherubini, G. Sartori, W. Haeberli et al., Comparison of different methods of obtaining a resilient organic matter fraction in Alpine soils, Geoderma, vol.145, issue.3-4, pp.355-369, 2008.

L. Gillson, S. Waldron, W. , and K. , Interpretation of soil ?13C as an indicator of vegetation change in African savannas, Journal of Vegetation Science, vol.15, issue.3, pp.339-350, 2004.

B. Guillet, J. Disnar, D. Loustau, and J. Balesdent, Dynamics of soil carbon and moder horizons related to age in pine and beech stands. Forests, Carbon Cycle and Climate Change, p.55, 2010.

D. Harkness, A. Harrison, and P. Bacon, The temporal distribution of 'bomb'14C in a forest soil, Radiocarbon, vol.28, issue.2A, pp.328-337, 1986.

Y. Huang, B. Li, C. Bryant, R. Bol, E. et al., Radiocarbon dating of aliphatic hydrocarbons a new approach for dating passive-fraction carbon in soil horizons, Soil Science Society of America Journal, vol.63, issue.5, pp.1181-1187, 1999.

Y. Huang, D. D. Roland-bol, P. Ineson, and G. E. , Post-glacial variations in distributions, 13C and 14C contents of aliphatic hydrocarbons and bulk organic matter in three types of British acid upland soils, Organic Geochemistry, vol.24, issue.3, pp.273-287, 1996.

M. Jagercikova, S. Cornu, D. Bourì-es, O. Evrard, C. Hatté et al., Quantification of vertical solid matter transfers in soils during pedogenesis by a multi-tracer approach, Journal of soils and sediments, vol.17, issue.2, pp.408-422, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01457997

K. Conclusion-katsuno, Y. Miyairi, K. Tamura, H. Matsuzaki, and K. Fukuda, A study of the carbon dynamics of Japanese grassland and forest using 14C and 13C, Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, vol.268, pp.1106-1109, 2010.

J. Koarashi, T. Iida, A. , and T. , Radiocarbon and stable carbon isotope compositions of chemically fractionated soil organic matter in a temperate-zone forest, Journal of environmental radioactivity, vol.79, issue.2, pp.137-156, 2005.

M. Kondo, M. Uchida, and Y. Shibata, Radiocarbon-based residence time estimates of soil organic carbon in a temperate forest: Case study for the density fractionation for japanese volcanic ash soil, Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, vol.268, pp.1073-1076, 2010.

I. Kovda, W. Lynn, D. Williams, C. , and O. , Radiocarbon age of Vertisols and its interpretation using data on gilgai complex in the north Caucasus, Radiocarbon, vol.43, issue.2B, pp.603-610, 2001.

E. S. Krull, E. A. Bestland, J. O. Skjemstad, and J. F. Parr, Geochemistry (?13C, ?15N, 13C NMR) and residence times (14C and OSL) of soil organic matter from red-brown earths of South Australia: Implications for soil genesis, Geoderma, vol.132, issue.3-4, pp.344-360, 2006.

E. S. Krull and J. O. Skjemstad, ?13C and ?15N profiles in 14C-dated Oxisol and Vertisols as a function of soil chemistry and mineralogy, Geoderma, vol.112, issue.1-2, pp.1-29, 2003.

E. S. Krull, J. O. Skjemstad, W. H. Burrows, S. G. Bray, J. G. Wynn et al., Recent vegetation changes in central Queensland, Australia: Evidence from ?13C and 14C analyses of soil organic matter, Geoderma, vol.126, issue.3-4, pp.241-259, 2005.

S. Ladyman and D. Harkness, Carbon isotope measurement as an index of soil development, Radiocarbon, vol.22, issue.3, pp.885-891, 1980.

A. H. Laskar, M. Yadava, R. , and R. , Radiocarbon and stable carbon isotopes in two soil profiles from northeast India, Radiocarbon, vol.54, issue.1, pp.81-89, 2012.

K. Lassey, K. Tate, R. Sparks, C. , and J. , Historic measurements of radiocarbon in New Zealand soils, Radiocarbon, vol.38, issue.2, pp.253-270, 1996.

S. Leavitt, R. Follett, J. Kimble, and E. Pruessner, Radiocarbon and ?13C depth profiles of soil organic carbon in the US great plains: A possible spatial record of paleoenvironment and paleovegetation, Quaternary International, vol.162, pp.21-34, 2007.

W. Liu, J. Moriizumi, H. Yamazawa, and T. Iida, Depth profiles of radiocarbon and carbon isotopic compositions of organic matter and CO2 in a forest soil, Journal of environmental radioactivity, vol.90, issue.3, pp.210-223, 2006.

P. Lobo, J. Flexor, J. Rapaire, and G. Sieffermann, Determination of the time of residence of humic fractions of two ferallitic soils using natural and thermonuclear radiocarbon, Cah. ORSTOM, Ser. Pedol, vol.12, issue.1, pp.115-123, 1974.

A. Mariotti and E. Peterschmitt, Forest savanna ecotone dynamics in India as revealed by carbon isotope ratios of soil organic matter, Oecologia, vol.97, issue.4, pp.475-480, 1994.

Y. Martel and E. A. Paul, Effects of cultivation on the organic matter of grassland soils as determined by fractionation and radiocarbon dating, Canadian Journal of Soil Science, vol.54, issue.4, pp.419-426, 1974.

J. H. Mayer, G. S. Burr, and V. T. Holliday, Comparisons and interpretations of charcoal and organic matter radiocarbon ages from buried soils in north-central Colorado, USA. Radiocarbon, vol.50, issue.3, pp.331-346, 2008.

M. P. Conclusion-mcclaran and M. Umlauf, Desert grassland dynamics estimated from carbon isotopes in grass phytoliths and soil organic matter, Journal of Vegetation Science, vol.11, issue.1, pp.71-76, 2000.

E. Mcclung-de-tapia, Radiocarbon dates from soil profiles in the Teotihuacan Valley, Mexico: indicators of geomorphological processes, Radiocarbon, vol.47, pp.159-175, 2005.

G. Milton and S. Kramer, Using 14C as a tracer of carbon accumulation and turnover in soils, Radiocarbon, vol.40, issue.2, pp.999-1011, 1997.

B. J. O'brien, Soil organic carbon fluxes and turnover rates estimated from radiocarbon enrichment, Soil Biology and Biochemistry, vol.16, issue.2, pp.115-120, 1984.

B. J. O'brien, The use of natural and anthropogenic 14C to investigate the dynamics of soil organic carbon, Radiocarbon, vol.28, issue.2A, pp.358-362, 1986.

E. Paul, H. Collins, and S. Leavitt, Dynamics of resistant soil carbon of Midwestern agricultural soils measured by naturally occurring 14C abundance, Geoderma, vol.104, issue.3-4, pp.239-256, 2001.

E. Paul, R. Follett, S. Leavitt, A. Halvorson, G. Peterson et al., Radiocarbon dating for determination of soil organic matter pool sizes and dynamics, Soil Science Society of America Journal, vol.61, issue.4, pp.1058-1067, 1997.

L. Pessenda, B. Gomes, R. Aravena, A. Ribeiro, R. Boulet et al., The carbon isotope record in soils along a forest-cerrado ecosystem transect: implications for vegetation changes in the Rondonia state, southwestern Brazilian Amazon region. The Holocene, vol.8, pp.599-603, 1998.

L. Pessenda, S. Gouveia, A. , and R. , Radiocarbon dating of total soil organic matter and humin fraction and its comparison with 14C ages of fossil charcoal, Radiocarbon, vol.43, issue.2B, pp.595-601, 2001.

L. C. Pessenda, R. Aravena, A. J. Melfi, E. C. Telles, R. Boulet et al., The use of carbon isotopes (13C, 14C) in soil to evaluate vegetation changes during the Holocene in central Brazil, Radiocarbon, vol.38, issue.2, pp.191-201, 1996.

C. Rasmussen, M. S. Torn, and R. J. Southard, Mineral assemblage and aggregates control carbon dynamics in a California conifer forest, Soil Science Society of America Journal, vol.69, issue.6, pp.1711-1721, 2005.

J. Rethemeyer, C. Kramer, G. Gleixner, B. John, T. Yamashita et al., Radiocarbon analysis of functional-defined and molecular organic matter fractions from agricultural soil profiles, Geoderma, vol.128, pp.94-105, 2005.

J. Rethemeyer, C. Kramer, G. Gleixner, G. L. Wiesenberg, L. Schwark et al., Complexity of soil organic matter: AMS 14C analysis of soil lipid fractions and individual compounds, Radiocarbon, vol.46, issue.1, pp.465-473, 2004.

C. Rumpel, V. Chaplot, A. Chabbi, C. Largeau, and C. Valentin, Stabilisation of HF soluble and HCl resistant organic matter in sloping tropical soils under slash and burn agriculture, Geoderma, vol.145, issue.3-4, pp.347-354, 2008.
URL : https://hal.archives-ouvertes.fr/bioemco-00395585

C. Rumpel, I. Kögel-knabner, and F. Bruhn, Vertical distribution, age, and chemical composition of organic carbon in two forest soils of different pedogenesis, Organic Geochemistry, vol.33, issue.10, pp.1131-1142, 2002.

H. Scharpenseel and F. Pietig, University of Bonn natural radiocarbon measurements V, Radiocarbon, vol.15, issue.1, pp.13-41, 1973.

C. Scharpenseel, H. W. Pietig, and F. , University of bonn natural radiocarbon measurements vi, Radiocarbon, vol.15, issue.2, pp.252-279, 1973.

K. Schulze, W. Borken, J. Muhr, and E. Matzner, Stock, turnover time and accumulation of organic matter in bulk and density fractions of a podzol soil, European Journal of Soil Science, vol.60, issue.4, pp.567-577, 2009.

D. Schwartz, A. Mariotti, C. Trouvé, . Van-den, K. Borg et al., Etude des profils isotopiques 13C et 14C d'un sol ferrallitique sableux du littoral congolais: implications sur la dynamique de lamatì ere organique et l'histoire de la végétation, vol.315, pp.1411-1417, 1992.

C. Shen, W. Yi, Y. Sun, C. Xing, Y. Yang et al., Distribution of 14C and 13C in forest soils of the Dinghushan Biosphere Reserve, Radiocarbon, vol.43, issue.2B, pp.671-678, 2001.

S. Stephan, J. Berrier, A. De-petre, C. Jeanson, M. Kooistra et al., Characterization of in situ organic matter constituents in vertisols from Argentina, using submicroscopic and cytochemical methods-first report, Geoderma, vol.30, issue.1-4, pp.21-34, 1983.

J. Stout and K. Goh, The use of radiocarbon to measure the effects of earthworms on soil development, Radiocarbon, vol.22, issue.3, pp.892-896, 1980.

C. Tefs and G. Gleixner, Importance of root derived carbon for soil organic matter storage in a temperate old-growth beech forest-evidence from C, N and 14C content, Forest Ecology and Management, vol.263, pp.131-137, 2012.

I. Tegen and H. Dörr, 14C measurements of soil organic matter, soil CO2 and dissolved organic carbon, Radiocarbon, vol.38, issue.2, pp.247-251, 1987.

F. H. Tonneijck, J. Van-der-plicht, B. Jansen, J. M. Verstraten, and H. Hooghiemstra, Radiocarbon dating of soil organic matter fractions in Andosols in northern Ecuador, Radiocarbon, vol.48, issue.3, pp.337-353, 2006.

M. S. Torn, A. G. Lapenis, A. Timofeev, M. L. Fischer, B. V. Babikov et al., Organic carbon and carbon isotopes in modern and 100-year-old-soil archives of the Russian steppe, Global Change Biology, vol.8, issue.10, pp.941-953, 2002.

. Van-dam, N. V. Douwe, and E. Veldkamp, Soil organic carbon dynamics: variability with depth in forested and deforested soils under pasture in Costa Rica, Biogeochemistry, vol.39, issue.3, pp.343-375, 1997.

J. Van-mourik, K. G. Nierop, and D. Vandenberghe, Radiocarbon and optically stimulated luminescence dating based chronology of a polycyclic driftsand sequence at Weerterbergen (SE Netherlands), Catena, vol.80, issue.3, pp.170-181, 2010.

G. Wang, J. Han, L. Zhou, X. Xiong, and Z. Wu, Carbon isotope ratios of plants and occurrences of C4 species under different soil moisture regimes in arid region of Northwest China, Physiologia Plantarum, vol.125, issue.1, pp.74-81, 2005.

Y. Wang, R. A. Trumbore, and S. , The impact of land use change on C turnover in soils, Global Biogeochemical Cycles, vol.13, issue.1, pp.47-57, 1999.

Y. Wang, R. Amundson, T. , and S. , Radiocarbon dating of soil organic matter, Quaternary Research, vol.45, issue.3, pp.282-288, 1996.

, Conclusion BIBLIOGRAPHY

A. and E. , Bulk densities of california soils in relation to other soil properties, Soil Science Society of America Journal, vol.44, issue.4, pp.689-692, 1980.

S. Ali, F. Begum, R. Hayat, and B. J. Bohannan, Variation in soil organic carbon stock in different land uses and altitudes in bagrot valley, northern karakoram, Acta Agriculturae Scandinavica, Section B-Soil & Plant Science, vol.67, issue.6, pp.551-561, 2017.

J. Anderson, Carbon dioxide evolution from two temperate, deciduous woodland soils, Journal of Applied Ecology, pp.361-378, 1973.

Y. Atchadé and G. Fort, Limit theorems for some adaptive mcmc algorithms with subgeometric kernels, Bernoulli, vol.16, issue.1, pp.116-154, 2010.

J. Balesdent, I. Basile-doelsch, J. Chadoeuf, S. Cornu, D. Derrien et al., , 2018.

, Atmosphere-soil carbon transfer as a function of soil depth, Nature, vol.559, issue.7715, p.599

J. Balesdent, C. Chenu, and M. Balabane, Relationship of soil organic matter dynamics to physical protection and tillage. Soil and tillage research, vol.53, pp.215-230, 2000.

D. Barber, Bayesian reasoning and machine learning, 2012.

M. M. Barbieri and J. O. Berger, Optimal predictive model selection. The annals of statistics, vol.32, pp.870-897, 2004.

I. Basile-doelsch, R. Amundson, W. Stone, C. Masiello, J. Y. Bottero et al., Mineralogical control of organic carbon dynamics in a volcanic ash soil on la réunion, 2005.

, European Journal of Soil Science, vol.56, issue.6, pp.689-703

N. H. Batjes, Total carbon and nitrogen in the soils of the world, European Journal of Soil Science, vol.47, issue.2, pp.151-163, 1996.

M. J. Beal, Variational algorithms for approximate Bayesian inference. university of London London, 2003.

P. Becker-heidmann, O. Andresen, D. Kalmar, H. Scharpenseel, Y. et al., Carbon dynamics in vertisols as revealed by high-resolution sampling, Radiocarbon, vol.44, issue.1, pp.63-73, 2002.

P. Becker-heidmann and H. Scharpenseel, Thin layer ? 13C and D14C monitoring of "lessive" soil profiles, Radiocarbon, vol.28, issue.2A, pp.383-390, 1986.

P. Becker-heidmann and H. W. Scharpenseel, Carbon isotope dynamics in some tropical soils, Radiocarbon, vol.31, issue.3, pp.672-679, 1989.

J. O. Berger, Statistical decision theory and Bayesian analysis, 2013.

L. M. Berliner, Physical-statistical modeling in geophysics, Journal of Geophysical Research: Atmospheres, issue.D24, p.108, 2003.

R. Bol, Y. Huang, J. Meridith, G. Eglinton, D. Harkness et al., The 14C age and residence time of organic matter and its lipid constituents in a stagnohumic gley soil, European Journal of Soil Science, vol.47, issue.2, pp.215-222, 1996.

S. Bowman and M. Leese, Radiocarbon calibration-current issues, American Journal of Archaeology, vol.99, issue.1, pp.102-105, 1995.

G. E. Box, Science and statistics, Journal of the American Statistical Association, vol.71, issue.356, pp.791-799, 1976.

S. Brooks, A. Gelman, G. Jones, and X. Meng, Handbook of markov chain monte carlo, 2011.

S. P. Brooks, Bayesian computation: a statistical revolution, Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.361, pp.2681-2697, 1813.

O. Cappé, A. Guillin, J. Marin, R. , and C. P. , Population monte carlo, Journal of Computational and Graphical Statistics, vol.13, issue.4, pp.907-929, 2004.

B. Carpenter, A. Gelman, M. D. Hoffman, D. Lee, B. Goodrich et al., Stan: A probabilistic programming language, Journal of statistical software, vol.76, issue.1, pp.2-31, 2017.

R. Chen, C. Chu, S. Yuan, and Y. N. Wu, Bayesian sparse group selection, Journal of Computational and Graphical Statistics, vol.25, issue.3, pp.665-683, 2016.

P. Ciais, C. Sabine, G. Bala, L. Bopp, V. Brovkin et al., Carbon and other biogeochemical cycles, Climate change 2013: the physical science basis. Contribution of Working Group I to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change, pp.465-570, 2014.

J. Clark and A. Gelfand, Applications of Computational Statistics in the Environmental Sciences: Hierarchical Bayes and MCMC Methods, 2006.

K. Coleman, D. Jenkinson, G. Crocker, P. Grace, J. Klir et al., Simulating trends in soil organic carbon in long-term experiments using rothc-26.3, Geoderma, vol.81, issue.1-2, pp.29-44, 1997.

F. Conen, J. Leifeld, B. Seth, A. , and C. , Warming mobilises young and old soil carbon equally, Biogeosciences Discussions, vol.3, issue.4, pp.1355-1366, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00297843

P. Congdon, Bayesian Statistical Modelling, 2001.

J. Cornuet, J. Marin, A. Mira, R. , and C. P. , Adaptive multiple importance sampling, Scandinavian Journal of Statistics, vol.39, pp.798-812, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00403248

M. K. Cowles and B. P. Carlin, Markov chain monte carlo convergence diagnostics: a comparative review, Journal of the American Statistical Association, vol.91, issue.434, pp.883-904, 1996.

N. Cressie, C. Calder, J. Clark, J. Ver-hoeff, W. et al., Accounting for uncertainty in ecological analysis: the strengths and limitations of hierarchical statistical modelling, Ecological Applications, vol.19, issue.3, pp.553-570, 2009.

L. A. Currie, The remarkable metrological history of radiocarbon dating, Journal of Research of the National Institute of Standards and Technology, vol.109, issue.2, p.185, 2004.

V. Daira, B. François, B. Moreno, G. Xavier, J. et al., Maximum likelihood estimation for a bivariate gaussian process under fixed domain asymptotics, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01294547

P. De-valpine, D. Turek, C. J. Paciorek, C. Anderson-bergman, D. T. Lang et al., Programming with models: writing statistical algorithms for general model structures with nimble, Journal of Computational and Graphical Statistics, vol.26, issue.2, pp.403-413, 2017.

J. A. Deckers and F. Nachtergaele, World reference base for soil resources: Introduction, vol.1, 1998.

S. Dehaene, The number sense: How the mind creates mathematics, 2011.

P. Dellaportas and J. Ntzoufras, On Bayesian model and variable selection using MCMC, 1997.

L. Deng, G. Zhu, . Tang, and Z. Shangguan, Global patterns of the effects of land-use changes on soil carbon stocks, Global Ecology and Conservation, vol.5, pp.127-138, 2016.

D. Donahue, T. Linick, J. , and A. , Isotope-ratio and background corrections for accelerator mass spectrometry radiocarbon measurements, Radiocarbon, vol.32, issue.2, pp.135-142, 1990.
DOI : 10.1017/s0033822200040121
URL : https://www.cambridge.org/core/services/aop-cambridge-core/content/view/BC594F5746B43980ABC13974F08F019E/S0033822200040121a.pdf/div-class-title-isotope-ratio-and-background-corrections-for-accelerator-mass-spectrometry-radiocarbon-measurements-div.pdf

S. Donnet and S. Robin, Using deterministic approximations to accelerate smc for posterior sampling, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01566898

K. Doya, S. Ishii, A. Pouget, and R. P. Rao, Bayesian brain: Probabilistic approaches to neural coding, 2007.

S. Duane, A. D. Kennedy, B. J. Pendleton, R. , and D. , Hybrid monte carlo, Physics letters B, vol.195, issue.2, pp.216-222, 1987.

R. P. Eclesia, E. G. Jobbagy, R. B. Jackson, F. Biganzoli, P. et al., Shifts in soil organic carbon for plantation and pasture establishment in native forests and grasslands of South America, Global Change Biology, vol.18, issue.10, pp.3237-3251, 2012.

P. Falloon and P. Smith, Modelling soil carbon dynamics, pp.221-244, 2010.

C. Fang, P. Smith, J. B. Moncrieff, and J. U. Smith, Similar response of labile and resistant soil organic matter pools to changes in temperature, Nature, vol.433, issue.7021, p.57, 2005.

N. Fierer, J. M. Craine, K. Mclauchlan, and J. P. Schimel, Litter quality and the temperature sensitivity of decomposition, Ecology, vol.86, issue.2, pp.320-326, 2005.

S. Fontaine, A. Mariotti, A. , and L. , The priming effect of organic matter: a question of microbial competition?, Soil Biology and Biochemistry, vol.35, issue.6, pp.837-843, 2003.

N. Garcia-franco, M. Wiesmeier, M. Goberna, M. Martínez-mena, A. et al., Carbon dynamics after afforestation of semiarid shrublands: Implications of site preparation techniques. Forest ecology and management, vol.319, pp.107-115, 2014.

R. Geiger, Klassifikation der klimate nach w. köppen. Landolt-Börnstein-Zahlenwerte und Funktionen aus Physik, Chemie, vol.3, pp.603-607, 1954.

A. E. Gelfand and A. F. Smith, Sampling-based approaches to calculating marginal densities, Journal of the American statistical association, vol.85, issue.410, pp.398-409, 1990.
DOI : 10.2307/2289776

A. Gelman, J. B. Carlin, H. S. Stern, D. B. Dunson, A. Vehtari et al., Bayesian data analysis, 2013.

A. Gelman, Two simple examples for understanding posterior p-values whose distributions are far from uniform, Electronic Journal of Statistics, vol.7, pp.2595-2602, 2013.
DOI : 10.1214/13-ejs854
URL : https://doi.org/10.1214/13-ejs854

A. Gelman and X. Meng, Simulating normalizing constants: From importance sampling to bridge sampling to path sampling, Statistical science, pp.163-185, 1998.
DOI : 10.1214/ss/1028905934
URL : https://doi.org/10.1214/ss/1028905934

A. Gelman, G. O. Roberts, and W. R. Gilks, Efficient metropolis jumping rules, Bayesian statistics, vol.5, pp.599-608, 1996.

A. Gelman and D. B. Rubin, Inference from iterative simulation using multiple sequences, Statistical science, vol.7, issue.4, pp.457-472, 1992.
DOI : 10.1214/ss/1177011136
URL : https://doi.org/10.1214/ss/1177011136

S. Geman and D. Geman, Stochastic relaxation, gibbs distributions and the bayesian restoration of images, Journal of Applied Statistics, vol.20, issue.5-6, pp.25-62, 1993.

E. I. George and R. E. Mcculloch, Variable selection via Gibbs sampling, Journal of the American Statistical Association, vol.88, issue.423, pp.881-889, 1993.
DOI : 10.2307/2290777

J. Geweke, Evaluating the accuracy of sampling-based approaches to the calculations of posterior moments, Bayesian statistics, vol.4, pp.641-649, 1992.

C. P. Giardina and M. G. Ryan, Evidence that decomposition rates of organic carbon in mineral soil do not vary with temperature, Nature, vol.404, issue.6780, p.858, 2000.

S. B. Hagerty, K. J. Van-groenigen, S. D. Allison, B. A. Hungate, E. Schwartz et al., Accelerated microbial turnover but constant growth efficiency with warming in soil, Nature Climate Change, vol.4, issue.10, p.903, 2014.

X. Han, G. Gao, R. Chang, Z. Li, Y. Ma et al., Changes in soil organic and inorganic carbon stocks in deep profiles following cropland abandonment along a precipitation gradient across the loess plateau of china, Agriculture, Ecosystems and Environment, vol.258, pp.1-13, 2018.

D. C. Harris, Charles david keeling and the story of atmospheric co2 measurements, 2010.

A. F. Healy and R. W. Proctor, Handbook of psychology: Experimental psychology, 2003.

T. Hengl, J. M. De-jesus, R. A. Macmillan, N. H. Batjes, G. B. Heuvelink et al., Soilgrids1km-global soil information based on automated mapping, PLoS One, vol.9, issue.8, p.105992, 2014.
DOI : 10.1371/journal.pone.0105992
URL : https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0105992&type=printable

P. D. Hoff, A first course in Bayesian statistical methods, 2009.

J. T. Houghton, Climate change 1994: radiative forcing of climate change and an evaluation of the IPCC 1992 IS92 emission scenarios, 1995.

Q. Hua, M. Barbetti, and A. Z. Rakowski, Atmospheric radiocarbon for the period 1950-2010, Radiocarbon, vol.55, issue.4, pp.2059-2072, 2013.

Y. Huang, B. Li, C. Bryant, R. Bol, E. et al., Radiocarbon dating of aliphatic hydrocarbons a new approach for dating passive-fraction carbon in soil horizons, Soil Science Society of America Journal, vol.63, issue.5, pp.1181-1187, 1999.

Y. Huang, D. D. Roland-bol, P. Ineson, and G. E. , Post-glacial variations in distributions, 13C and 14C contents of aliphatic hydrocarbons and bulk organic matter in three types of British acid upland soils, Organic Geochemistry, vol.24, issue.3, pp.273-287, 1996.

K. Hughen, S. Lehman, J. Southon, J. Overpeck, O. Marchal et al., 14c activity and global carbon cycle changes over the past 50,000 years, Science, vol.303, issue.5655, pp.202-207, 2004.
DOI : 10.1126/science.1090300

R. Jackson, H. Mooney, and E. Schulze, A global budget for fine root biomass, surface area, and nutrient contents, Proceedings of the National Academy of Sciences, vol.94, issue.14, pp.7362-7366, 1997.

H. Jeffreys, The theory of probability, 1998.

E. G. Jobbágy and R. B. Jackson, The vertical distribution of soil organic carbon and its relation to climate and vegetation, Ecological applications, vol.10, issue.2, pp.423-436, 2000.

D. L. Jones, S. Olivera-ardid, E. Klumpp, C. Knief, P. W. Hill et al., Moisture activation and carbon use efficiency of soil microbial communities along an aridity gradient in the atacama desert, Soil Biology and Biochemistry, vol.117, pp.68-71, 2018.

M. Jordan, Z. Gahramani, T. Jaakkola, and K. Saul, Variational methods for inference and learning in graphical models, Machine Learning, pp.183-233, 1999.

M. I. Jordan, Z. Ghahramani, T. S. Jaakkola, and L. K. Saul, An introduction to variational methods for graphical models, Machine learning, vol.37, issue.2, pp.183-233, 1999.

J. B. Kadane, Principles of uncertainty, 2011.

R. King, B. Morgan, O. Gimenez, and S. Brooks, Bayesian Analysis for Population Ecology, 2010.

W. Köppen, Die wärmezonen der Erde, nach der Dauer der heissen, gemässigten und kalten Zeit und nach der Wirkung der Wärme auf die organische Welt betrachtet, Meteorologische Zeitschrift, vol.1, issue.21, pp.5-226, 1884.

W. Koppen, Das geographische system der klimat. Handbuch der klimatologie, p.46, 1936.

M. Kottek, J. Grieser, C. Beck, B. Rudolf, and F. Rubel, World map of the köppen-geiger climate classification updated, Meteorologische Zeitschrift, vol.15, issue.3, pp.259-263, 2006.

L. Kuo and B. Mallick, Variable selection for regression models, The Indian Journal of Statistics, Series B, pp.65-81, 1998.

M. Kyung, J. Gill, M. Ghosh, and G. Casella, Penalized regression, standard errors, and bayesian lassos, Bayesian Analysis, vol.5, issue.2, pp.369-411, 2010.

R. Lal, Beyond cop 21: potential and challenges of the "4 per thousand" initiative, Journal of Soil and Water Conservation, vol.71, issue.1, pp.20-25, 2016.

S. Lauritzen and D. Spiegelhalter, Local computations with probabilities on graphical structures and their application to expert systems (with discussion), Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.50, issue.2, pp.157-224, 1988.

K. E. Lee, Y. Kim, and R. Xu, Bayesian variable selection under the proportional hazards mixed-effects model, Computational statistics & data analysis, vol.75, pp.53-65, 2014.

R. Lefevre, P. Barre, F. E. Moyano, B. T. Christensen, G. Bardoux et al., Higher temperature sensitivity for stable than for labile soil organic carbon-evidence from incubations of long-term bare fallow soils, Global Change Biology, vol.20, issue.2, pp.633-640, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01015942

J. Legros, Les grands sols du monde, 2007.

S. R. Lele, B. Dennis, and F. Lutscher, Data cloning: easy maximum likelihood estimation for complex ecological models using bayesian markov chain monte carlo methods, Ecology letters, vol.10, issue.7, pp.551-563, 0201.

Y. Li, J. Zhang, S. X. Chang, P. Jiang, G. Zhou et al., , 2014.

, Converting native shrub forests to chinese chestnut plantations and subsequent intensive management affected soil C and N pools. Forest ecology and management, vol.312, pp.161-169

W. F. Libby, E. C. Anderson, A. , and J. R. , Age determination by radiocarbon content: world-wide assay of natural radiocarbon, Science, vol.109, pp.227-228, 1949.

D. V. Lindley, Understanding uncertainty, 2013.

J. S. Liu, R. Chen, and T. Logvinenko, A theoretical framework for sequential importance sampling with resampling, Sequential Monte Carlo methods in practice, pp.225-246, 2001.
DOI : 10.1007/978-1-4757-3437-9_11

Z. Liu, M. Shao, W. , and Y. , Effect of environmental factors on regional soil organic carbon stocks across the loess plateau region, china. Agriculture, Ecosystems & Environment, vol.142, issue.3-4, pp.184-194, 2011.

D. Lunn, A. Thomas, N. Best, and D. Spiegelhalter, Winbugs-a Bayesian modelling framework: Concepts, structure, and extensibility, Statistics and Computing, vol.10, issue.4, pp.325-337, 2000.

M. V. Lützow, I. Kögel-knabner, K. Ekschmitt, E. Matzner, G. Guggenberger et al., Stabilization of organic matter in temperate soils: mechanisms and their relevance under different soil conditions-a review, European Journal of Soil Science, vol.57, issue.4, pp.426-445, 2006.

F. T. Maestre, M. Delgado-baquerizo, T. C. Jeffries, D. J. Eldridge, V. Ochoa et al., Increasing aridity reduces soil microbial diversity and abundance in global drylands, Proceedings of the National Academy of Sciences, vol.112, issue.51, pp.15684-15689, 2015.
DOI : 10.1073/pnas.1516684112
URL : http://www.pnas.org/content/112/51/15684.full.pdf

G. Malsiner-walli, D. Pauger, and H. Wagner, Effect fusion using model-based clustering, Statistical Modelling, pp.1471082-17739058, 2017.
DOI : 10.1177/1471082x17739058
URL : http://epub.wu.ac.at/6064/1/1471082x17739058.pdf

G. Malsiner-walli, D. Pauger, and H. Wagner, Effect fusion using model-based clustering, Statistical Modelling, vol.18, issue.2, pp.175-196, 2018.
DOI : 10.1177/1471082x17739058
URL : http://epub.wu.ac.at/6064/1/1471082x17739058.pdf

J. A. Mathieu, C. Hatté, J. Balesdent, and É. Parent, Deep soil carbon dynamics are driven more by soil type than by climate: a worldwide meta-analysis of radiocarbon profiles, Global Change Biology, vol.21, issue.11, pp.4278-4292, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01197646

A. Mazaud, C. Laj, E. Bard, M. Arnold, and E. Tric, A geomagnetic calibration of the radiocarbon time-scale, Bard E, Broecker WS, pp.163-175, 1992.

A. B. Mcbratney, M. M. Santos, and B. Minasny, On digital soil mapping, Geoderma, vol.117, issue.1-2, pp.3-52, 2003.
URL : https://hal.archives-ouvertes.fr/hal-01602688

S. B. Mcgrayne, The Theory That Would Not Die, 2011.

C. C. Monnahan, J. T. Thorson, and T. A. Branch, Faster estimation of bayesian models in ecology using hamiltonian monte carlo, Methods in Ecology and Evolution, vol.8, issue.3, pp.339-348, 2017.

T. Naganawa, K. Kyuma, H. Yamamoto, Y. Yamamoto, H. Yokoi et al., Measurement of soil respiration in the field: influence of temperature, moisture level, and application of sewage sludge compost and agro-chemicals. Soil science and plant nutrition, vol.35, pp.509-516, 1989.

L. Nave, C. Swanston, U. Mishra, and K. Nadelhoffer, Afforestation effects on soil carbon storage in the united states: a synthesis, Soil Science Society of America Journal, vol.77, issue.3, pp.1035-1047, 2013.

R. M. Neal, Mcmc using hamiltonian dynamics. Chapter 5 of Handbook of Markov Chain Monte Carlo, pp.113-162, 2011.
DOI : 10.1201/b10905-6
URL : http://www.mcmchandbook.net/HandbookChapter5.pdf

M. New, D. Lister, M. Hulme, and I. Makin, A high-resolution data set of surface climate over global land areas, Climate research, vol.21, issue.1, pp.1-25, 2002.

P. Noojipady, C. D. Morton, N. M. Macedo, C. D. Victoria, C. Huang et al., Forest carbon emissions from cropland expansion in the brazilian cerrado biome, Environmental Research Letters, vol.12, issue.2, p.25004, 2017.

I. Ntzoufras, Bayesian modeling using WinBUGS, vol.698, 2011.

J. Oades, The retention of organic matter in soils, Biogeochemistry, vol.5, issue.1, pp.35-70, 1988.

E. Parent and E. Rivot, Introduction to hierarchical Bayesian modeling for ecological data, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00840508

G. Parisi, Statistical field theory, 1988.

W. Parton, D. S. Schimel, C. Cole, and D. Ojima, Analysis of factors controlling soil organic matter levels in great plains grasslands, Soil Science Society of America Journal, vol.51, issue.5, pp.1173-1179, 1987.

E. A. Paul, The nature and dynamics of soil organic matter: Plant inputs, microbial transformations, and organic matter stabilization, Soil Biology and Biochemistry, vol.98, pp.109-126, 2016.

S. Paul, H. Flessa, E. Veldkamp, and M. López-ulloa, Stabilization of recent soil carbon in the humid tropics following land use changes: evidence from aggregate fractionation and stable isotope analyses, Biogeochemistry, vol.87, issue.3, pp.247-263, 2008.

M. Plummer, Jags: A program for analysis of Bayesian graphical models using Gibbs sampling, Proceedings of the 3rd international workshop on distributed statistical computing, 2003.

M. J. Prather, C. D. Holmes, and J. Hsu, Reactive greenhouse gas scenarios: Systematic exploration of uncertainties and the role of atmospheric chemistry, Geophysical Research Letters, issue.9, p.39, 2012.

I. C. Prentice, G. Farquhar, M. Fasham, M. Goulden, M. Heimann et al., The carbon cycle and atmospheric carbon dioxide, 2001.

S. Rabbi, M. Tighe, M. Delgado-baquerizo, A. Cowie, F. Robertson et al., Climate and soil properties limit the positive effects of land use reversion on carbon storage in eastern australia, Scientific Reports, vol.5, p.17866, 2015.

A. E. Raftery and S. M. Lewis, comment: one long run with diagnostics: implementation strategies for markov chain monte carlo, vol.7, pp.493-497, 1992.

A. E. Raftery, A. Zimmer, D. M. Frierson, R. Startz, and P. Liu, Less than 2 ? c warming by 2100 unlikely, Nature Climate Change, vol.7, pp.634-641, 2017.
DOI : 10.1038/nclimate3352
URL : https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6070153

C. E. Rasmussen, Gaussian processes in machine learning, Advanced lectures on machine learning, pp.63-71, 2004.
DOI : 10.1007/978-3-540-28650-9_4
URL : http://mlg.eng.cam.ac.uk/pub/pdf/Ras04.pdf

P. J. Reimer, , vol.46, pp.1029-1058, 2004.

P. J. Reimer, E. Bard, A. Bayliss, J. W. Beck, P. G. Blackwell et al., Intcal13 and marine13 radiocarbon age calibration curves 0-50,000 years cal bp, Radiocarbon, vol.55, issue.4, pp.1869-1887, 2013.
DOI : 10.2458/azu_js_rc.55.16947
URL : https://www.cambridge.org/core/services/aop-cambridge-core/content/view/FB97C1341F452BD6A410C6FE4E28E090/S0033822200048864a.pdf/div-class-title-intcal13-and-marine13-radiocarbon-age-calibration-curves-0-50-000-years-cal-bp-div.pdf

P. J. Reimer, T. A. Brown, and R. W. Reimer, Discussion: reporting and calibration of post-bomb 14c data, Radiocarbon, vol.46, issue.3, pp.1299-1304, 2004.

C. Ren, J. Chen, X. Lu, R. Doughty, F. Zhao et al., Responses of soil total microbial biomass and community compositions to rainfall reductions, Soil Biology and Biochemistry, vol.116, pp.4-10, 2018.

C. Robert, L'analyse statistique bayésienne, Economica, 1992.

C. P. Robert, Monte carlo methods, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00415940

G. Roberts, Markov Chain Concepts related to sampling algorithms, pp.45-58, 1996.

G. O. Roberts, A. Gelman, and W. R. Gilks, Weak convergence and optimal scaling of random walk metropolis algorithms, The Annals of Applied Probability, vol.7, pp.110-120, 1997.
DOI : 10.1214/aoap/1034625254
URL : https://doi.org/10.1214/aoap/1034625254

J. S. Rosenthal, Optimising and adapting the metropolis algorithm, pp.93-108, 2014.
DOI : 10.1201/b16597-7
URL : http://www.probability.ca/jeff/ftpdir/93-108.pdf

P. Smith, C. Fang, J. J. Dawson, and J. B. Moncrieff, Impact of global warming on soil organic carbon, Advances in agronomy, vol.97, pp.1-43, 2008.

X. Song, M. C. Hansen, S. V. Stehman, P. V. Potapov, A. Tyukavina et al., Global land change from 1982 to 2016, Nature, vol.560, issue.7720, p.639, 2018.

O. Spaargaren, Major soils of the world. Wageninen, The Netherlands: International Soil Reference and Information Centre, 2001.

D. Spiegelhalter, A. Thomas, and N. Best, Winbugs version 14 user manual. MRC and Imperial College of Science, Technology and Medicine, 2003.

D. J. Spiegelhalter, N. G. Best, B. P. Carlin, and A. Van-der-linde, Bayesian measures of model complexity and fit, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.64, issue.4, pp.583-639, 2002.

T. Stocker, Climate change 2013: the physical science basis: Working Group I contribution to the Fifth assessment report of the Intergovernmental Panel on Climate Change, 2014.

T. Stocker, D. Qin, G. Plattner, M. Tignor, S. Allen et al., Ipcc, 2013: Climate change 2013: The physical science basis, 2013.

L. D. Stone, C. M. Keller, T. M. Kratzke, and J. P. Strumpfer, Search analysis for the underwater wreckage of air france flight 447, Information Fusion (FUSION), 2011 Proceedings of the 14th International Conference on, pp.1-8, 2011.

M. Stone, Cross-validatory choice and assessment of statistical predictions, Journal of the royal statistical society. Series B (Methodological), pp.111-147, 1974.

M. Stuiver and P. Quay, Atmospheric14c changes resulting from fossil fuel co2 release and cosmic ray flux variability, Earth and Planetary Science Letters, vol.53, issue.3, pp.349-362, 1981.

M. Stuiver and P. J. Reimer, A computer program for radiocarbon age calibration, Radiocarbon, vol.28, issue.2B, pp.1022-1030, 1986.

H. E. Suess, Radiocarbon concentration in modern wood, Science, vol.122, issue.3166, pp.415-417, 1955.

R. Tibshirani, Regression shrinkage and selection via the lasso, Journal of the Royal Statistical Society. Series B (Methodological), pp.267-288, 1996.

M. Tifafi, B. Guenet, and C. Hatté, Large differences in global and regional total soil carbon stock estimates based on SoilGrids, HWSD, and NCSCD: Intercomparison and evaluation based on field data from Usa, Global Biogeochemical Cycles, vol.32, issue.1, pp.42-56, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01806874

K. Todd-brown, J. Randerson, W. Post, F. Hoffman, C. Tarnocai et al., Causes of variation in soil carbon simulations from cmip5 earth system models and comparison with observations, Biogeosciences, vol.10, issue.3, pp.1717-1736, 2013.

S. E. Trumbore, O. A. Chadwick, and R. Amundson, Rapid exchange between soil carbon and atmospheric carbon dioxide driven by temperature change, Science, vol.272, issue.5260, pp.393-396, 1996.

A. Vehtari, A. Gelman, and J. Gabry, Efficient implementation of leave-one-out cross-validation and waic for evaluating fitted bayesian models, 2015.

Y. Wang, Y. Li, X. Ye, Y. Chu, W. et al., Profile storage of organic/inorganic carbon in soil: From forest to desert, Science of the Total Environment, vol.408, issue.8, pp.1925-1931, 2010.

S. Watanabe, Asymptotic equivalence of bayes cross validation and widely applicable information criterion in singular learning theory, Journal of Machine Learning Research, vol.11, pp.3571-3594, 2010.

M. Wiesmeier, D. Dick, C. Rumpel, R. Dalmolin, A. Hilscher et al., Depletion of soil organic carbon and nitrogen under Pinus taeda plantations in southern Brazilian grasslands (Campos), European journal of soil science, vol.60, issue.3, pp.347-359, 2009.

C. Wikle, Hierarchical models in environmental science, International Statistical Review, vol.71, issue.2, pp.181-199, 2003.

X. Xu and M. Ghosh, Bayesian variable selection and estimation for group Lasso, Bayesian Analysis, vol.10, issue.4, pp.909-936, 2015.

D. Yan, J. Li, J. Pei, J. Cui, M. Nie et al., The temperature sensitivity of soil organic carbon decomposition is greater in subsoil than in topsoil during laboratory incubation, Scientific Reports, vol.7, issue.1, p.5181, 2017.

A. Zellner, On assessing prior distributions and bayesian regression analysis with g-prior distributions. Bayesian inference and decision techniques, 1986.

G. Zhou, C. Zhou, S. Liu, X. Tang, X. Ouyang et al., Belowground carbon balance and carbon accumulation rate in the successional series of monsoon evergreen broad-leaved forest, Science in China Series D, vol.49, issue.3, pp.311-321, 2006.

R. Zomer, A. Trabucco, O. Van-straaten, and D. Bossio, Carbon, land and water: A global analysis of the hydrologic dimensions of climate change mitigation through afforestation/reforestation, vol.101, 2006.

R. J. Zomer, A. Trabucco, D. A. Bossio, and L. V. Verchot, Climate change mitigation: A spatial analysis of global land suitability for clean development mechanism afforestation and reforestation. Agriculture, ecosystems & environment, vol.126, pp.67-80, 2008.

A. F. Zuur, E. N. Iono, and J. N. Walker, Mixed Effect Models and Extension in Ecology with R, 2009.