Statistical inference on accumulation curves for inventorying forest diversity: A design-based critical look

References

• Baczkowski , A J , Joanes , D N and Shamia , G M . 2000 . The distribution of a generalized diversity index due to Good . Environ Ecol Stat , 7 : 329 – 342 .
   Web of Science ®Google Scholar
• Barabesi , L . 2003 . A Monte Carlo integration approach to Horvitz-Thompson estimation in replicated environmental designs . Metron , 61 : 355 – 374 .
   Google Scholar
• Barabesi , L and Fattorini , L . 1998 . The use of replicated plot, line and point sampling for estimating species abundances and ecological diversity . Environ Ecol Stat , 5 : 353 – 370 .
   Web of Science ®Google Scholar
• Barabesi , L and Marcheselli , M . 2005 . Some large-sample results on a modified Monte Carlo integration method . J Stat Plan Infer , 135 : 420 – 432 .
   Web of Science ®Google Scholar
• Barabesi , L and Pisani , C . 2004 . Steady-state ranked set sampling for replicated environmental sampling designs . Environmetrics , 15 : 45 – 56 .
   Web of Science ®Google Scholar
• Blyth , C R . 1959 . Note on estimating information . Ann Math Stat , 30 : 71 – 79 .
   Google Scholar
• Chao , A and Shen , T J . 2003 . Nonparametric estimation of Shannon's index of diversity when there are unseen species in the sample . Environ Ecol Statist , 10 : 429 – 443 .
   Web of Science ®Google Scholar
• Chiarucci , A , D'Auria , F and Bonini , I . 2006 . Is vascular plant species diversity a predictor of bryophyte species diversity in Mediterranean forests? . Biodivers Conserv , 16 : 525 – 545 .
   Web of Science ®Google Scholar
• Christen , J A and Nakamura , M . 2000 . On the analysis of accumulation curves . Biometrics , 56 : 748 – 754 .
   PubMed Web of Science ®Google Scholar
• Colwell , R K and Coddington , J A . 1994 . Estimating terrestrial biodiversity through extrapolation . Philos Trans Roy Soc Lond B , 345 : 101 – 118 .
   PubMed Web of Science ®Google Scholar
• Colwell , R K , Mao , C X and Chang , J . 2004 . Interpolating, extrapolating, and comparing incidence-based species accumulation curves . Ecology , 85 : 2717 – 2727 .
   Web of Science ®Google Scholar
• D'Alessandro , L . 2003 . Inference on species accumulation curve (dissertation) , Firenze, , Italy : Università degli Studi di Firenze . Available from: Dipartimento di Statistica “G.Parenti”, V.le Morgagni 59, 50134 Firenze, Italy (in Italian)
   Google Scholar
• D'Alessandro , L and Fattorini , L . 2002 . Resampling estimators of species richness from presence-absence data: why they don't work . Metron , 60 : 5 – 19 .
   Google Scholar
• De Vries , P G . 1986 . Sampling theory for forest inventories , Berlin, , Germany : Springer-Verlag .
   Google Scholar
• Diaz-Francés , E and Gorostiza , L G . 2002 . Inference and model comparison for species accumulation functions using approximating pure birth processes . J Agric Biol Environ Stat , 7 : 335 – 349 .
   Web of Science ®Google Scholar
• Good , J J . 1953 . The population frequencies of species and the estimation of population parameters . Biometrika , 40 : 237 – 264 .
   Web of Science ®Google Scholar
• Gotelli , N J and Colwell , R K . 2001 . Quantifying biodiversity: procedures and pitfalls in the measurement and comparison of species richness . Ecol Lett , 4 : 379 – 391 .
   Web of Science ®Google Scholar
• Gove , J H , Patil , G P , Swindel , B F and Taille , C . 1994 . “ Ecological diversity and forest management ” . In Handbook of statistics Vol. 12 (Environmental Statistics) , Edited by: Patil , G P and Rao , C . 409 – 462 . Amsterdam, , The Netherlands : Elsevier .
   Google Scholar
• Gregoire , T G . 1998 . Design-based and model-based inference in survey sampling: appreciating the difference . Can J For Res , 28 : 1429 – 1447 .
   Web of Science ®Google Scholar
• Heck , K L , van Belle , G and Simberloff , D . 1975 . Explicit calculation of the rarefaction diversity measurement and the determination of sufficient sample size . Ecology , 56 : 1459 – 1461 .
   Web of Science ®Google Scholar
• Heltshe , J F and Bitz , D V . 1979 . “ Comparing diversity measures in sampled communities ” . In Ecological diversity in theory and practice , Edited by: Grassle , J F , Patil , G P , Smith , W and Taille , C . 133 – 144 . Fairland, , USA : International Co-operative Publishing House .
   Google Scholar
• Heltshe , J F and Forrester , N E . 1983a . Estimating diversity using quadrat sampling . Biometrics , 39 : 1073 – 1076 .
   Web of Science ®Google Scholar
• Heltshe , J F and Forrester , N E . 1983b . Estimating species richness using the jackknife procedure . Biometrics , 39 : 1 – 11 .
   PubMed Web of Science ®Google Scholar
• Heyer , R V and Berven , K A . 1973 . Species diversity of herpetofaunal samples from similar microhabitats at two tropical sites . Ecology , 54 : 642 – 645 .
   Web of Science ®Google Scholar
• Hurlbert , S H . 1971 . The nonconcept of species diversity: a critique and alternative parameters . Ecology , 52 : 577 – 586 .
   PubMed Web of Science ®Google Scholar
• Kaiser , L . 1983 . Unbiased estimation in line-intercept sampling . Biometrics , 39 : 965 – 976 .
   Web of Science ®Google Scholar
• Mao , C X , Colwell , R K and Chang , J . 2005 . Estimating the species accumulation curve using mixtures . Biometrics , 61 : 433 – 441 .
   PubMed Web of Science ®Google Scholar
• Nakamura , M and Peraza , F . 1998 . Species accumulation for beta distributed recording probabilities . J Agric Biol Environ Stat , 3 : 17 – 36 .
   Google Scholar
• Overton , W S and Stehman , S V . 1995 . The Horvitz-Thompson theorem as a unifying perspective for probability sampling with examples from natural resource sampling . Amer Stat , 49 : 261 – 268 .
   Web of Science ®Google Scholar
• Patil , G P and Taille , C . 1979 . “ An overview of diversity ” . In Ecological diversity in theory and practice , Edited by: Grassle , J F , Patil , G P , Smith , W and Taille , C . 3 – 27 . Fairland, , USA : International Co-operative Publishing House .
   Google Scholar
• Patil , G P and Taille , C . 1982 . Diversity as a concept and its measurement . J Am Stat Ass , 77 : 548 – 567 .
   Web of Science ®Google Scholar
• Pielou , E C . 1966 . The measurement of diversity in different types of biological collections . J Theoret Biol , 13 : 131 – 144 .
   Web of Science ®Google Scholar
• Raup , D M . 1975 . Taxonomic diversity estimation using rarefaction . Paleobiology , 1 : 333 – 342 .
   Google Scholar
• Rousseau , R , Van Hecke , P , Nijssen , D and Bogaert , J . 1999 . The relationship between diversity profiles, evenness and species richness based on partial ordering . Environ Ecol Stat , 6 : 211 – 223 .
   Web of Science ®Google Scholar
• Sanders , H L . 1968 . Marine benthic diversity: a comparative study . Amer Natur , 102 : 243 – 282 .
   Web of Science ®Google Scholar
• Schreuder , H T , Gregoire , T G and Wood , G . 1993 . Sampling Methods for Multiresources Forest Inventories , New York, , USA : John Wiley & Sons. .
   Google Scholar
• Simberloff , D . 1972 . Properties of the rarefaction diversity measurement . Amer Natur , 106 : 414 – 418 .
   Google Scholar
• Smith , W and Grassle , J F . 1977 . Sampling properties of a family of diversity measures . Biometrics , 33 : 283 – 292 .
   Web of Science ®Google Scholar
• Smith , E P and van Belle , G . 1984 . Nonparametric estimation of species richness . Biometrics , 40 : 119 – 129 .
   Web of Science ®Google Scholar
• Smith , W , Grassle , J F and Kravitz , D . 1979 . “ Measures of diversity with unbiased estimates ” . In Ecological diversity in theory and practice , Edited by: Grassle , J F , Patil , G P , Smith , W and Taille , C . 177 – 191 . Fairland, , USA : International Co-operative Publishing House .
   Google Scholar
• Soberon , J and Llorente , J . 1993 . The use of species accumulation functions for the prediction of species richness . Conserv Biol , 7 : 480 – 488 .
   Web of Science ®Google Scholar
• Thompson , S K . 1992 . Sampling , New York, , USA : John Wiley & Sons. .
   Google Scholar
• Ugland , K I , Gray , J S and Ellingsen , K E . 2003 . The species-accumulation curve and estimation of species richness . J Anim Ecol , 72 : 888 – 897 .
   Web of Science ®Google Scholar
• Wallace , A R . 1878 . Tropical nature and other essays , London, , UK : MacMillan .
   Google Scholar
• Zahl , S . 1977 . Jackknifing an index of diversity . Ecology , 58 : 907 – 913 .
   Web of Science ®Google Scholar