E. N. Aidoo, U. Mueller, P. Goovarets, and G. A. Hyndes, Evaluation of geostatistical estimators and their applicability to characterise the spatial patterns of recreational fishing catch rates, Fisheries Research, vol.168, pp.20-32, 2015.
DOI : 10.1016/j.fishres.2015.03.013

F. J. Anscombe, Sampling theory of the negative binomial and logarithmic series distributions, Biometrika, vol.36, pp.358-382, 1950.

A. Basu, H. Shioya, and C. Park, Statistical inference. The Minimum Distance approach, Monographs on Statistics and Applied Probability, vol.120, 2011.

R. J. Beran, Minimum Hellinger Distance Estimates for Parametric Models, The Annals of Statistics, vol.5, issue.3, pp.445-463, 1977.
DOI : 10.1214/aos/1176343842

P. Bergerard, F. Domain, and B. Richer-de-forges, Evaluation par chalutage des ressources démersales du plateau continental mauritanien, In: Bull. Centr. Nat. Rech. Océanogr.et des Pêches, issue.11, pp.217-290, 1983.

C. I. Bliss and R. A. Fisher, Fitting the Negative Binomial Distribution to Biological Data, Biometrics, vol.9, issue.2, pp.176-200, 1953.
DOI : 10.2307/3001850

M. T. Boswell and G. P. Patil, Chance mechanisms generating the Negative Binomial distribution, Random counts in models and structures, pp.3-22, 1970.

M. T. Boswell and G. P. Patil, Chance mechanisms generating logarithmic series distribution used in the analysis of number of species and individuals, 1971.

J. Chen and H. Rubin, Bounds for the difference between median and mean of gamma and poisson distributions, Statistics & Probability Letters, vol.4, issue.6, pp.281-283, 1986.
DOI : 10.1016/0167-7152(86)90044-1

J. E. Cohen, Markov population processes as models of primate social and population dynamics, Theoretical Population Biology, vol.3, issue.2, pp.119-134, 1972.
DOI : 10.1016/0040-5809(72)90022-6

S. Dabo-niang, F. Ferraty, and P. Vieu, On the using of modal curves for radar waveforms classication, Computational Statistics and Data Analysis, issue.10, pp.51-4878, 2007.

S. Dabo-niang, A. F. Yao, L. Pischedda, P. Cuny, and F. Gilbert, Spatial mode estimation for functional random fields with application to bioturbation problem, Stochastic Environmental Research and Risk Assessment, vol.34, issue.supp 1, pp.487-497, 2010.
DOI : 10.1007/s00477-009-0339-6
URL : https://hal.archives-ouvertes.fr/hal-00431794

S. Dabo-niang, L. Hamdad, C. Ternynck, and A. F. Yao, A kernel spatial density estimation allowing for the analysis of spatial clustering. Application to Monsoon Asia Drought Atlas data, Stochastic Environmental Research and Risk Assessment, vol.24, issue.1, pp.2075-2099, 2014.
DOI : 10.1007/s00477-014-0903-6
URL : https://hal.archives-ouvertes.fr/hal-01206760

D. Salvo, F. Ruggieri, M. Plaia, and A. , Functional principal components analysis for multivariate multidimensional environmental data, Environmental and Ecological Statistics

O. H. Diserud, Detecting changes in diversity in a fluctuating environment based on simulation of stochastic processes, Oceanologica Acta, vol.24, issue.5, pp.505-517, 2001.
DOI : 10.1016/S0399-1784(01)01159-8

F. Domain, . Cnrop, . Fao, and . Orstom, Evaluation par chalutage des ressources démersales du plateau continental mauritanien Description et évaluation des ressources halieutiques de la ZEE mauritanienne, COPACE/PACE Séries, vol.8637, p.248273, 1627.

J. M. Elliot, Some methods for the statistical analysis of samples of benthic invertebrates, 1979.

F. Ferraty and P. Vieu, Nonparametric Functional Data Analysis. Theory and Practice, 2006.

R. A. Fisher, A. Corbet, and C. B. Williams, The Relation Between the Number of Species and the Number of Individuals in a Random Sample of an Animal Population, The Journal of Animal Ecology, vol.12, issue.1, pp.42-58, 1943.
DOI : 10.2307/1411

J. C. Gaertner, N. Mazouni, R. Sabatier, and B. Millet, Spatial structure and habitat associations of demersal assemblages in the Gulf of Lions: a multicompartmental approach, Marine Biology, vol.135, issue.1, pp.199-208, 1999.
DOI : 10.1007/s002270050617

T. Gasser, P. Hall, and B. Presnell, Nonparametric estimation of the mode of a distribution of random curves, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.60, issue.4, pp.681-691, 1998.
DOI : 10.1111/1467-9868.00148

A. L. Gibbs and F. E. Su, On Choosing and Bounding Probability Metrics, International Statistical Review, vol.28, issue.2, pp.419-435, 2002.
DOI : 10.1111/j.1751-5823.2002.tb00178.x

M. B. Hooten and C. Wikle, A hierarchical Bayesian non-linear spatio-temporal model for the spread of invasive species with application to the Eurasian Collared-Dove, Environmental and Ecological Statistics, vol.84, issue.1, pp.59-70, 2008.
DOI : 10.1007/s10651-007-0040-1

A. F. Johnson, S. R. Jenkins, J. G. Hiddink, and H. Hinz, Linking temperate demersal sh species to habitat: scales, patterns and future directions. Fish and sheries, pp.256-280, 2013.

D. G. Kendall, ON SOME MODES OF POPULATION GROWTH LEADING TO R. A. FISHER'S LOGARITHMIC SERIES DISTRIBUTION, Biometrika, vol.35, issue.1-2, pp.6-15, 1948.
DOI : 10.1093/biomet/35.1-2.6

W. E. Kunin and K. J. Gaston, The biology of rarity. Causes and consequence of rare-common dierences, 1997.

N. Lamouroux, H. Capra, M. Pouilly, and Y. Souchon, Fish habitat preferences in large streams of southern France, Freshwater Biology, vol.5, issue.4, pp.673-687, 1999.
DOI : 10.1577/1548-8659(1996)125<0458:LISMCI>2.3.CO;2

W. Lewin, J. Freyhof, V. Huckstorf, T. Mehner, and C. Wolter, When no catches matter: Coping with zeros in environmental assessments, Ecological Indicators, vol.10, issue.3, pp.572-583, 2010.
DOI : 10.1016/j.ecolind.2009.09.006

A. E. Magurran, Species abundance distributions: pattern or process?, Functional Ecology, vol.75, issue.1, pp.177-181, 2005.
DOI : 10.1007/s004420050843

A. Mandal and A. Basu, Minimum disparity estimation: Improved efficiency through inlier modification, Computational Statistics & Data Analysis, vol.64, pp.71-86, 2013.
DOI : 10.1016/j.csda.2013.02.030

C. Manté, J. Claudet, and C. Rebzani-zahaf, Fairly Processing Rare and Common Species in Multivariate Analysis of Ecological Series. Application to Macrobenthic Communities from Algiers Harbour, Acta Biotheoretica, vol.51, issue.4, pp.277-294, 2003.
DOI : 10.1023/B:ACBI.0000003984.95892.bb

C. Manté, J. P. Durbec, and J. C. Dauvin, A functional data-analytic approach to the classication of species according to their spatial dispersion. Application to a marine macrobenthic community from the Bay of Morlaix (Western English Channel), Journal of Applied Statistics, issue.8, pp.32-831, 2005.

J. R. Nielsen, K. Kristensen, P. Lewy, and F. Bastardie, A statistical model for estimation of sh density including correlation in size, space, time and between species from research survey data, PLOS ONE, vol.9, issue.6, pp.1-15, 2014.

O. Neil, M. F. Faddy, and M. J. , Use of binary and truncated negative binomial modelling in the analysis of recreational catch data, Fisheries Research, vol.60, pp.471-477, 2003.

M. H. Quenouille, A Relation between the Logarithmic, Poisson, and Negative Binomial Series, Biometrics, vol.5, issue.2, pp.162-164, 1949.
DOI : 10.2307/3001917

C. R. Rao, Ecient estimates and optimum inference procedures in large samples (with discussion), Journal of the Royal Statistical Society, Series B (Methodological), vol.24, issue.1, pp.46-72, 1962.

C. R. Rao, Some comments on the logarithmic series distribution in the analysis of insect trap data, Statistical Ecology, vol.1, pp.131-142, 1971.

R. Sering, Nonparametric multivariate descriptive measures based on spatial quantiles, Journal of Statistical Planning and Inference, vol.123, issue.2, pp.259-278, 2004.
DOI : 10.1016/S0378-3758(03)00156-3

D. G. Simpson, Minimum Hellinger Distance Estimation for the Analysis of Count Data, Journal of the American Statistical Association, vol.6, issue.399, pp.802-807, 1987.
DOI : 10.1080/01621459.1987.10478501

L. R. Taylor, R. A. Kempton, and I. P. Woiwod, Diversity Statistics and the Log-Series Model, The Journal of Animal Ecology, vol.45, issue.1, pp.255-272, 1976.
DOI : 10.2307/3778

L. R. Taylor, I. P. Woiwod, and J. N. Perry, The Negative Binomial as a Dynamic Ecological Model for Aggregation, and the Density Dependence of k, The Journal of Animal Ecology, vol.48, issue.1, pp.289-304, 1979.
DOI : 10.2307/4114

L. Vaudor, N. Lamouroux, and J. M. Olivier, Comparing distribution models for small samples of overdispersed counts of freshwater fish, Acta Oecologica, vol.37, issue.3, pp.170-178, 2011.
DOI : 10.1016/j.actao.2011.01.010
URL : https://hal.archives-ouvertes.fr/halsde-00622926

Y. Wang, Estimation problems for the two-parameter negative binomial distribution, Statistics & Probability Letters, vol.26, issue.2, pp.113-114, 1996.
DOI : 10.1016/0167-7152(94)00259-2

D. I. Warton, Many zeros does not mean zero inflation: comparing the goodness-of-fit of parametric models to multivariate abundance data, Environmetrics, vol.56, issue.3, pp.275-289, 2005.
DOI : 10.1002/env.702

G. A. Watterson, Models for the logarithmic species abundance distributions, Theoretical Population Biology, vol.6, issue.2, pp.217-250, 1974.
DOI : 10.1016/0040-5809(74)90025-2

C. B. Williams, Some Applications of the Logarithmic Series and the Index of Diversity to Ecological Problems, The Journal of Ecology, vol.32, issue.1, pp.1-44, 1944.
DOI : 10.2307/2256485

C. B. Williams, The Logarithmic Series and Its Application to Biological Problems, The Journal of Ecology, vol.34, issue.2, pp.253-272, 1947.
DOI : 10.2307/2256719

C. B. Williams, Sequences of wet and of dry days considered in relation to the logarithmic series, Quarterly Journal of the Royal Meteorological Society, vol.42, issue.335, pp.73-91, 1952.
DOI : 10.1002/qj.49707833514

G. Wyshak, Algorithm AS 68: A Program for Estimating the Parameters of the Truncated Negative Binomial Distribution, Applied Statistics, vol.23, issue.1, pp.87-91, 1974.
DOI : 10.2307/2347059