A unified mathematical framework for the measurement of richness and evenness within and among multiple communities

By T. Olszewski. 2004

276 citations recorded by the source corpus.

Subfields: Ecological Modeling, Ecology, Evolution, Behavior and Systematics, Nature and Landscape Conservation

View Paper: https://www.semanticscholar.org/paper/9f703f6ca3f115f6c92db34e81ca5c329b771d70

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In Ecological Modeling

In Ecology, Evolution, Behavior and Systematics

In Nature and Landscape Conservation

Citations in the corpus

ASSEMBLY HISTORY INTERACTS WITH ECOSYSTEM SIZE TO INFLUENCE SPECIES DIVERSITY (2004, background): “Although biodiversity theory has recently begun to unify richness, evenness, and ecosystem size (Hubbell 2001, Olszewski 2004), much remains unclear about how species diversity is related to ecosystem size when both richness and evenness are considered.”
Entropy and diversity (2006, unknown): “Olszewski (2004), using a very different approach, has also noted counterintuitive behavior in this index when community weights are unequal (see his Fig.”
Does pollen-assemblage richness reflect floristic richness? A review of recent developments and future challenges (2016, unknown): “A critical question is whether 453 Hurlbert’s (1971) PIE should be used as a diversity measure as Greenberg (1956) and Gotelli and 454 Ellison (2013) present it or as an ‘evenness’ measure as Olszewski (2004) and Peros and Gajewski 455 (2008) present it?”
An updated consumer’s guide to evenness and related indices (2012, background): “…Pielou 1966a, Sheldon 1969, Hurlbert 1971, Peet 1974, DeJong 1975, Solomon 1979, Taillie 1979, Alatalo 1981, Smith and Wilson 1996, Rousseau et al. 1999, Ricotta and Avena 2000, 2002, Gosselin 2001, Ricotta 2003, Olszewski 2004, Kindt et al. 2006, Symonds and Johnson 2008, Reitalu et al. 2009).”
Entropy and the species accumulation curve: a novel entropy estimator via discovery rates of new species (2013, background): “The slope D(k) is the probability that the (k + 1)-th individual represents a species that wasmissed in the previous sample of size k (Olszewski 2004).”
Partitioning diversity into independent alpha and beta components. (2007, background): “…definition of beta; 8b follows from Shannon's (1948) information theory; 8c was proposed in ecology by MacArthur (1965); 8e was introduced by Olszewski (2004) in the context of beta diversity and by Buzas and Hayek (1996) in the context of richness/evenness; 8d, 8f, and 8g are well known in…”
How landscape structure, land-use intensity and habitat diversity affect components of total arthropod diversity in agricultural landscapes (2007, unknown): “Rarefaction curves allowed for comparison of species number independently of number of individuals captured (Gotelli & Colwell 2001) and enabled estimation of γ diversity and separation into α and β diversity (Olszewski 2004).”
The preservational fidelity of evenness in molluscan death assemblages (2007, background): “…properties of PIE, namely additive partitioning, lack of sample-size bias, and a direct relationship to rarefaction (Lande 1996; Veech et al. 2002; Olszewski 2004), it can be used to recognize when collector’s curves are increasing as a result of changing community composition rather than simply…”
Multivariate dispersion as a measure of beta diversity. (2006, methodology): “Beta diversity has also been measured using dissimilarity measures which include relative abundance information, such as the Bray–Curtis measure (Bray & Curtis 1957) (e.g. Ellingsen & Gray 2002; see also Magurran 2004; Olszewski 2004).”
Quantifying plant species diversity in a Natura 2000 network: Old ideas and new proposals (2008, methodology): “Recent developments related this approach to classical techniques such as species–area curves (Crist and Veech, 2006) or rarefaction curves (Olszewski, 2004).”
Complete biotic and sedimentary records of the Permian–Triassic transition from Meishan section, South China: Ecologically assessing mass extinction and its aftermath (2015, methodology): “In addition, the bias-corrected Simpson evenness index (Olszewski, 2004) is also applied to estimate the evenness within and among communities examined here.”
Fidelity of variation in species composition and diversity partitioning by death assemblages: time-averaging transfers diversity from beta to alpha levels (2009, methodology): “…of beta diversity, we partition the total diversity of each data set (gamma; sum of all samples in study) into its alpha (within-sample) and beta (between-sample) components with Shannon entropies (e.g., Lande 1996; Loreau 2000; Veech et al. 2002; Olszewski 2004; Pélissier and Couteron 2007).”
Determinants of the detrital arthropod community structure: the effects of temperature and resources along an environmental gradient (2011, methodology): “PIE is an unbiased metric of evenness and is equivalent to measuring the slope of an individual-based rarefaction curve at its base (Olszewski 2004).”
Coverage-based rarefaction and extrapolation: standardizing samples by completeness rather than size. (2012, background): “This slope is the expected rise of the curve if one individual isadded to the sample; in other words, it is the probability that the next sampled individual is a new species not previously sampled (Olszewski 2004).”
Food web structure and body size: trophic position and resource acquisition (2010, background): “Hurlbert’s evenness was estimated as the difference between the expected richness (by rarefaction) in a sample of two and one individuals (Olszewski 2004).”