J. Ashbridge and I. Goudie, Coverage-adjusted estimators for mark-recapture in heterogeneous populations, Communications in Statistics - Simulation and Computation, vol.107, issue.4, pp.1215-1237, 2000.
DOI : 10.2307/2530750

C. Beck, Generalised information and entropy measures in physics, Contemporary Physics, vol.3, issue.4, pp.495-510, 2009.
DOI : 10.1016/j.physa.2006.11.084

J. Beck and W. Schwanghart, Comparing measures of species diversity from incomplete inventories: an update, Methods in Ecology and Evolution, vol.50, issue.1, pp.38-44, 2010.
DOI : 10.1111/j.2041-210X.2009.00003.x

J. Bonachela, H. Hinrichsen, and M. Muñoz, Entropy estimates of small data sets, Journal of Physics A: Mathematical and Theoretical, vol.41, issue.20, pp.41-42, 2008.
DOI : 10.1088/1751-8113/41/20/202001

U. Brose, N. Martinez, and R. Williams, ESTIMATING SPECIES RICHNESS: SENSITIVITY TO SAMPLE COVERAGE AND INSENSITIVITY TO SPATIAL PATTERNS, Ecology, vol.84, issue.9, pp.2364-2377, 2003.
DOI : 10.1038/35006555

M. Bulmer, On Fitting the Poisson Lognormal Distribution to Species-Abundance Data, Biometrics, vol.30, issue.1, pp.101-110, 1974.
DOI : 10.2307/2529621

K. Burnham and W. Overton, Robust Estimation of Population Size When Capture Probabilities Vary Among Animals, Ecology, vol.60, issue.5, pp.927-936, 1979.
DOI : 10.2307/1936861

L. Cao and M. Grabchak, EntropyEstimation: Estimation of Entropy and Related Quantities, 2014.

A. Chao, Nonparametric estimation of the number of classes in a population, Scandinavian Journal of Statistics, vol.11, pp.265-270, 1984.

A. Chao, T. Hsieh, R. Chazdon, R. Colwell, and N. Gotelli, Unveiling the species-rank abundance distribution by generalizing the Good-Turing sample coverage theory, Ecology, vol.96, issue.5, pp.1189-1201, 2015.
DOI : 10.1890/14-0550.1.sm

A. Chao and L. Jost, Coverage-based rarefaction and extrapolation: standardizing samples by completeness rather than size, Ecology, vol.93, issue.12, pp.93-2533, 2012.
DOI : 10.1080/09296170701514189

A. Chao and L. Jost, Estimating diversity and entropy profiles via discovery rates of new species, Methods in Ecology and Evolution, vol.52, issue.8, pp.873-882, 2015.
DOI : 10.1111/2041-210X.12349

A. Chao, S. Lee, and T. Chen, A generalized Good's nonparametric coverage estimator, Chinese Journal of Mathematics, vol.16, pp.189-199, 1988.

A. Chao and T. Shen, Nonparametric estimation of Shannon's index of diversity when there are unseen species in sample, Environmental and Ecological Statistics, vol.10, issue.4, pp.429-443, 2003.
DOI : 10.1023/A:1026096204727

A. Chao and T. Shen, Program SPADE: Species Prediction And Diversity Estimation. Program and user's guide, 2010.

A. Chao, Y. Wang, and L. Jost, Entropy and the species accumulation curve: a novel entropy estimator via discovery rates of new species, Methods in Ecology and Evolution, vol.24, issue.11, pp.1091-1100, 2013.
DOI : 10.1111/2041-210X.12108

C. Chiu, Y. Wang, B. Walther, and A. Chao, An improved nonparametric lower bound of species richness via a modified good-turing frequency formula, Biometrics, vol.23, issue.3, pp.671-682, 2014.
DOI : 10.1111/biom.12200

Z. Daróczy, Generalized information functions, Information and Control, vol.16, issue.1, pp.36-51, 1970.
DOI : 10.1016/S0019-9958(70)80040-7

G. Dauby and O. Hardy, Sampled-based estimation of diversity sensu stricto by transforming Hurlbert diversities into effective number of species, Ecography, vol.28, issue.7, pp.661-672, 2012.
DOI : 10.1111/j.1600-0587.2011.06860.x

R. Dewar and A. Porté, Statistical mechanics unifies different ecological patterns, Journal of Theoretical Biology, vol.251, issue.3, pp.389-403, 2008.
DOI : 10.1016/j.jtbi.2007.12.007

S. Engen and R. Lande, Population dynamic models generating the lognormal species abundance distribution, Mathematical Biosciences, vol.132, issue.2, pp.169-183, 1996.
DOI : 10.1016/0025-5564(95)00054-2

W. Esty, A Normal Limit Law for a Nonparametric Estimator of the Coverage of a Random Sample, The Annals of Statistics, vol.11, issue.3, pp.905-912, 1983.
DOI : 10.1214/aos/1176346256

I. Good, THE POPULATION FREQUENCIES OF SPECIES AND THE ESTIMATION OF POPULATION PARAMETERS, Biometrika, vol.40, issue.3-4, pp.237-264, 1953.
DOI : 10.1093/biomet/40.3-4.237

&. Ecology and . Management, Lessons Drawnfrom Paracou, a Long-Term Experimental Research Site in French Guiana

P. Grassberger, Finite sample corrections to entropy and dimension estimates, Physics Letters A, vol.128, issue.6-7, pp.6-7, 1988.
DOI : 10.1016/0375-9601(88)90193-4

B. Haegeman, J. Hamelin, J. Moriarty, P. Neal, J. Dushoff et al., Robust estimation of microbial diversity in theory and in practice, The ISME Journal, vol.56, issue.6, pp.1092-101, 2013.
DOI : 10.1073/pnas.95.12.6578

URL : https://hal.archives-ouvertes.fr/hal-00859547

J. Havrda and F. Charvát, Quantification method of classification processes. Concept of structural aentropy, Kybernetika, vol.3, issue.1, pp.30-35, 1967.

M. Hill, Diversity and Evenness: A Unifying Notation and Its Consequences, Ecology, vol.54, issue.2, pp.427-432, 1973.
DOI : 10.2307/1934352

D. Horvitz and D. Thompson, A Generalization of Sampling Without Replacement from a Finite Universe, Journal of the American Statistical Association, vol.1, issue.260, pp.47-663, 1952.
DOI : 10.1080/01621459.1949.10483288

S. Hubbell, R. Condit, and R. Foster, Barro Colorado Forest Census Plot Data URL https, 2005.

R. Lande, P. Devries, and T. Walla, When species accumulation curves intersect: implications for ranking diversity using small samples, Oikos, vol.89, issue.3, pp.601-605, 2000.
DOI : 10.1034/j.1600-0706.2000.890320.x

P. Legendre, lmodel2: Model II Regression. R package version 1.7-2, 2014.

E. Marcon and B. Hérault, Decomposing phylodiversity, Methods in Ecology and Evolution, vol.10, issue.3, pp.333-339, 2015.
DOI : 10.1111/2041-210X.12323

URL : https://hal.archives-ouvertes.fr/hal-00946177

E. Marcon and B. Hérault, entropart, an R Package to Partition Diversity, Journal of Statistical Software, vol.67, issue.8, pp.1-26, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01502646

E. Marcon, B. Hérault, C. Baraloto, and G. Lang, The decomposition of Shannon's entropy and a confidence interval for beta diversity, Oikos, vol.21, issue.4, pp.516-522, 2012.
DOI : 10.1111/j.1600-0706.2011.19267.x

E. Marcon, I. Scotti, B. Hérault, V. Rossi, and G. Lang, Generalization of the Partitioning of Shannon Diversity, PLoS ONE, vol.70, issue.3, p.90289, 2014.
DOI : 10.1371/journal.pone.0090289.s004

URL : https://hal.archives-ouvertes.fr/hal-01189953

E. Marcon, Z. Zhang, and B. Hérault, The Decomposition of Similarity-Based Diversity and its Bias Correction, pp.989454-989455, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00989454

I. Motomura, On the statistical treatment of communities, Zoological Magazine, vol.44, pp.379-383, 1932.

J. Oksanen, F. Blanchet, R. Kindt, P. Legendre, P. Minchin et al., vegan: Community Ecology Package, 2012.

G. Patil and C. Taillie, Diversity as a Concept and its Measurement, Journal of the American Statistical Association, vol.28, issue.379, pp.548-561, 1982.
DOI : 10.1080/01621459.1982.10477845

F. Preston, The Commonness, And Rarity, of Species, Ecology, vol.29, issue.3, pp.254-283, 1948.
DOI : 10.2307/1930989

S. Pueyo, F. He, and T. Zillio, The maximum entropy formalism and the idiosyncratic theory of biodiversity, Ecology Letters, vol.27, issue.11, pp.1017-1045, 2007.
DOI : 10.1111/j.2007.0030-1299.15662.x

R. Development and C. Team, R: A Language and Environment for Statistical Computing, 2015.

M. Tokeshi, Niche Apportionment or Random Assortment: Species Abundance Patterns Revisited, The Journal of Animal Ecology, vol.59, issue.3, pp.1129-1146, 1990.
DOI : 10.2307/5036

M. Tokeshi, Species Abundance Patterns and Community Structure, Advances in Ecological Research, vol.24, pp.111-186, 1993.
DOI : 10.1016/S0065-2504(08)60042-2

B. Tothmeresz, Comparison of different methods for diversity ordering, Journal of Vegetation Science, vol.18, issue.2, pp.283-290, 1995.
DOI : 10.2307/3236223

C. Tsallis, Possible generalization of Boltzmann-Gibbs statistics, Journal of Statistical Physics, vol.8, issue.1-2, pp.479-487, 1988.
DOI : 10.1007/BF01016429

C. Tsallis, What are the numbers that experiments provide?, Química Nova, vol.17, issue.6, pp.468-471, 1994.

I. Volkov, J. Banavar, S. Hubbell, and A. Maritan, Neutral theory and relative species abundance in ecology, Nature, vol.424, issue.6952, pp.424-1035, 2003.
DOI : 10.1038/nature01883

J. Wang, SPECIES: An R Package for Species Richness Estimation, Journal of Statistical Software, vol.40, issue.9, pp.1-15, 2011.

R. Whittaker, Evolution and Measurement of Species Diversity, Taxon, vol.21, issue.2/3, pp.213-251, 1972.
DOI : 10.2307/1218190

M. Williamson and K. Gaston, The lognormal distribution is not an appropriate null hypothesis for the species-abundance distribution, Journal of Animal Ecology, vol.2, issue.3, pp.74-409, 2001.
DOI : 10.1046/j.1365-2745.2003.00816.x

Z. Zhang, Asymptotic Normality of an Entropy Estimator With Exponentially Decaying Bias, IEEE Transactions on Information Theory, vol.59, issue.1, pp.504-508, 2013.
DOI : 10.1109/TIT.2012.2217393

Z. Zhang and M. Grabchak, Bias Adjustment for a Nonparametric Entropy Estimator, Entropy, vol.15, issue.6, pp.1999-2011, 2013.
DOI : 10.3390/e15061999

Z. Zhang and M. Grabchak, Entropic representation and estimation of diversity indices, Journal of Nonparametric Statistics, vol.54, issue.1, pp.1-12, 2014.
DOI : 10.1016/j.jspi.2009.12.023

Z. Zhang and H. Huang, Turing's formula revisited*, Journal of Quantitative Linguistics, vol.39, issue.2-3, pp.222-241, 2007.
DOI : 10.1093/biomet/74.3.445

Z. Zhang and J. Zhou, Re-parameterization of multinomial distributions and diversity indices, Journal of Statistical Planning and Inference, vol.140, issue.7, pp.1731-1738, 2010.
DOI : 10.1016/j.jspi.2009.12.023