Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/mathematics-of-planet-earth-measurement-of-biodiversity-richness-and-hflDU0wIH2
References (46)
-
M. Lorenz (1905)
Methods of Measuring the Concentration of WealthPublications of the American Statistical Association
-
L. Egghe (1990)
Elements of concentration theory -
E. Simpson (1949)
Measurement of DiversityNature, 163
-
Benjamin Smith, J. Wilson (1996)
A consumer's guide to evenness indicesOikos, 76
-
C. Shannon (1948)
A mathematical theory of communicationBell Syst. Tech. J., 27
-
F. Gosselin (2001)
Lorenz partial order: the best known logical framework to define evenness indicesCommunity Ecology, 2
-
C. Bock, Zach Jones, J. Bock (2007)
Relationships between species richness, evenness, and abundance in a southwestern savanna.Ecology, 88 5
-
S. Buckland, A. Magurran, R. Green, R. Fewster (2005)
Monitoring change in biodiversity through composite indicesPhilosophical Transactions of the Royal Society B: Biological Sciences, 360
-
L. Egghe, R. Rousseau (1991)
Transfer principles and a classification of concentration measuresJ. Am. Soc. Inf. Sci., 42
-
A. Daly, J. Baetens, B. Baets (2015)
The impact of initial evenness on biodiversity maintenance for a four-species in silico bacterial community.Journal of theoretical biology, 387
-
R. Rousseau, P. Hecke, D. Nijssen, J. Bogaert (1999)
The relationship between diversity profiles, evenness and species richness based on partial orderingEnvironmental and Ecological Statistics, 6
-
H. Dalton (1920)
The Measurement of the Inequality of IncomesThe Economic Journal, 30
-
H. Tuomisto (2012)
An updated consumer’s guide to evenness and related indicesOikos, 121
-
F. Preston (1948)
The Commonness, And Rarity, of SpeciesEcology, 29
-
N. Gotelli, Robert Colwell (2001)
Quantifying biodiversity: procedures and pitfalls in the measurement and comparison of species richnessEcology Letters, 4
-
F. Preston (1962)
The Canonical Distribution of Commonness and Rarity: Part IEcology, 43
-
E. Lamb, E. Bayne, G. Holloway, J. Schieck, S. Boutin, J. Herbers, D. Haughland (2009)
Indices for monitoring biodiversity change: Are some more effective than others?Ecological Indicators, 9
-
G. Firebaugh (1999)
Empirics of World Income Inequality1American Journal of Sociology, 104
-
Jorge SoberónM., Jorge LlorenteB (1993)
The Use of Species Accumulation Functions for the Prediction of Species RichnessConservation Biology, 7
-
L. Shapley (1988)
A Value for n-person Games -
W. Rosen, D. Takács (1996)
The Idea of Biodiversity: Philosophies of ParadiseBioScience
-
A. Magurran (1990)
Ecological Diversity and Its MeasurementBiometrics, 46
-
Hui Zhang, R. John, Zechen Peng, Jianli Yuan, Chengjin Chu, G. Du, Shurong Zhou (2012)
The Relationship between Species Richness and Evenness in Plant Communities along a Successional Gradient: A Study from Sub-Alpine Meadows of the Eastern Qinghai-Tibetan Plateau, ChinaPLoS ONE, 7
-
C. Shannon (1950)
The mathematical theory of communication -
R. Rousseau, Piet Hecke (1999)
Measuring BiodiversityActa Biotheoretica, 47
-
O. Arrhenius (1921)
Species and AreaJournal of Ecology, 9
-
G. Sugihara (1980)
Minimal Community Structure: An Explanation of Species Abundance PatternsThe American Naturalist, 116
-
E. Pielou (1966)
The measurement of diversity in different types of biological collectionsJournal of Theoretical Biology, 13
-
M. Grabchak, Eric Marcon, G. Lang, Zhiyi Zhang (2017)
The generalized Simpson’s entropy is a measure of biodiversityPLoS ONE, 12
-
L. Jost (2010)
The Relation between Evenness and DiversityDiversity, 2
-
T. Boulinier, J. Nichols, J. Sauer, J. Hines, K. Pollock (1998)
ESTIMATING SPECIES RICHNESS: THE IMPORTANCE OF HETEROGENEITY IN SPECIES DETECTABILITYEcology, 79
-
G. Prathap (2013)
Second order indicators for evaluating international scientific collaborationScientometrics, 95
-
J. Kemeny, Stephen Turner, Paul Roth, Paul, Humphreys, J. Laurie, J. Snell, Kemeny (1964)
Mathematical models in the social sciences -
R. Whittaker (1972)
Evolution and measurement of species diversityTaxon, 21
-
H. Tuomisto (2010)
A diversity of beta diversities: straightening up a concept gone awry. Part 1. Defining beta diversity as a function of alpha and gamma diversityEcography, 33
-
D. Nijssen, R. Rousseau, P. Hecke (1998)
The Lorenz curve: a graphical representation of evenness, 13
-
L. Leydesdorff, Ismael Rafols (2010)
Indicators of the interdisciplinarity of journals: Diversity, centrality, and citationsJ. Informetrics, 5
-
C. Gini (1921)
Measurement of Inequality of IncomesThe Economic Journal, 31
-
B. Wilsey, D. Chalcraft, Christy Bowles, M. Willig (2005)
Relationships Among Indices Suggest that Richness Is an Incomplete Surrogate for Grassland BiodiversityEcology, 86
-
R. Rousseau (1992)
Concentration and Diversity of Availability and Use in Information Systems: A Positive Reinforcement ModelJ. Am. Soc. Inf. Sci., 43
-
Maohua Ma (2005)
Species richness vs evenness: independent relationship and different responses to edaphic factorsOikos, 111
-
Jay O'Keeffe (2004)
Measuring Biological DiversityAfrican Journal of Aquatic Science, 29
-
G. Patil, C. Taillie (1982)
Diversity as a Concept and its MeasurementJournal of the American Statistical Association, 77
-
H. Tuomisto (2010)
A diversity of beta diversities: straightening up a concept gone awry. Part 2. Quantifying beta diversity and related phenomenaEcography, 33
-
K. Arrow (1951)
Social Choice and Individual Values -
C. Ricotta (2003)
On parametric evenness measures.Journal of theoretical biology, 222 2
- Publisher
- Springer International Publishing
- Copyright
- © Springer Nature Switzerland AG 2019
- ISBN
- 978-3-030-22043-3
- Pages
- 203 –224
- DOI
- 10.1007/978-3-030-22044-0_8
- Publisher site
- See Chapter on Publisher Site
Abstract
[Evidence about the health of ecosystems is often thought to be related to biodiversity. Traditional attempts to define biodiversity consider two components: richness—the number of species in the ecosystem—and evenness—the extent to which species are evenly distributed. This chapter studies attempts to make both concepts precise using mathematical approaches. It describes a number of evenness indices that have been widely used, studies axioms for evenness that an index could be required to satisfy, and explores which evenness indices satisfy those axioms. The chapter also considers evenness indices that “preserve” certain partial orders. The relationship between richness and evenness and attempts to derive measures of biodiversity based on both richness and evenness are explored.]
Published: Nov 2, 2019
Keywords: Axiomatic approach; Biodiversity; Ecosystem; Evenness; Index; Measure; Partial order; Richness