A simple method to fit geometric series and broken stick models in community ecology and island biogeography

Fattorini, Simone

doi:10.1016/j.actao.2005.04.003

Cited by 64 publications

(80 citation statements)

References 29 publications

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“…In equilibrial archipelagos, large islands may act as sources for small and remote islands or can assist species that come from the mainland thus acting as stepping stones. However, the Aegean tenebrionid fauna is mostly relictual (Fattorini 2002(Fattorini , 2005(Fattorini , 2006b, and such as mechanism cannot have a relevant role. Most of the Aegean remote islands were connected to each other and to the mainland during Pleistocene falls in sea level.…”

Section: Discussionmentioning

confidence: 99%

SPATIAL VARIATIONS IN RARITY IN THE AEGEAN TENEBRIONID BEETLES (Coleoptera, Tenebrionidae)

Fattorini¹

2006

Fragm Entomol

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Three measures of species rarity were calculated to investigate possible spatial patterns of variation in tenebrionid community rarity on the Aegean islands. For each species rarity was evaluated as geographic distribution (mean incidence of species on islands in the archipelago), ecological tolerance (total area of the islands occupied) and population density (number of decades of species’ records from 1870 to 2000). In addition, Kattan’s index of vulnerability was computed. These rarity and vulnerability measures were used to construct analogous indexes at community level. Plotting species richness on island coordinates, produced a map where richness decreased in the centre of the archipelago, reaching highest values on peripheral islands. Geographic rarity increased from the centre of the archipelago to periphery. By contrast, ecological tolerance and population density show the following pattern: islands located very close to the Anatolian mainland, as well as those that are clumped, host the most eurytopic and abundant species, while remote southern islands have ecologically specialized faunas with low population density. Vulnerability (i.e. the reverse of Kattan’s index applied to communities) decreased in remote islands, which are usually also the smallest. As a whole the tenebrionid beetles on the Aegean Islands constitute threatened faunal assemblages of great ‘rarity’ under several dimensions, and some islands are especially rich in rare species, deserving special attention in conservation efforts.

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Section: Discussionmentioning

confidence: 99%

SPATIAL VARIATIONS IN RARITY IN THE AEGEAN TENEBRIONID BEETLES (Coleoptera, Tenebrionidae)

Fattorini¹

2006

Fragm Entomol

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“…Certain literature dealing with ecology mention three basic models: geometrical, lognormal, and broken stick models (Aoki, 1995;Dunbar et al, 2002;Kobayashi, 1985;Saldaña and Ibáñez;2004;Skalskia and Pośpiechb, 2006). Beta-distribution is hardly mentioned by literature apart from a few exceptions (Fattorini, 2005;Muneepeerakula et al, 2007), we still use it, because in certain cases this model approximates abundance-distribution the best. Izsák and Szeidl (2009) verified that beta-distribution is very similar to lognormal distribution in case of certain parameters, and with the prosperous choice of parameter it nears well the broken stick model too.…”

Section: Methodsmentioning

confidence: 99%

Long - Term Dynamic Patterns and Diversity of Phytoplankton Commun Ities in a Large Eutrophic River (The Case of River Danube, Hungary

et al. 2010

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Verasztó et al.: Long-term dynamic patterns and diversity of phytoplankton communities in a large eutrophic river - Abstract. In this paper we present the composition, seasonal dynamics and fluctuations in diversity of the phytoplankton in the Danube River over 24 years. Weekly samplings were conducted at one section of the river at Göd, in the 1669 river kilometer segment. The change in the phytoplankton community structure was analyzed in relation of water temperature and discharge means. Our findings support the opinion that the Danube is very rich in species, although many of the species are rare and could be described only as coloring species. Results indicate trends in the phytoplankton abundance, which are only detectable in long-term studies. By the help of diversity indices we have observed an increase in the phytoplankton community diversity. With the relevant information, an explanation of the significant changes in diversity and richness was formed. Our goals were a construction of a solid database of the phytoplankton, examining the seasonal dynamics of the phytoplankton through a 24 year long study and to see the most important changing factors of the community. The results of this study are to assist and help future model developments to predict the phytoplankton seasonal dynamic patterns.

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“…Since the geometric series is the reference model for communities composed of a few species and with high dominance (Fattorini, 2005), we fi rst used a χ 2 test to determine if our data deviated signifi cantly from the species abundance value predicted by this model. As our data did not deviate from the expected distribution, we used Ordinary Least Squares (OLS) regression described by Fattorini (2005) to model the rank-abundance curve. This approach is based on the fact that, if species are ranked from the most to the least abundant, and abundances are logarithmically transformed, a geometrical series exactly follows a strength line, which can be fi tted using an OLS regression.…”

Section: Species-abundance Distribution and Spatial Organizationmentioning

confidence: 99%

Niche partitioning in tenebrionid species (Coleoptera: Tenebrionidae) inhabiting Mediterranean coastal dunes

Fattorini¹,

Bergamaschi²,

Mantoni³

et al. 2016

Eur. J. Entomol.

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A simple method to fit geometric series and broken stick models in community ecology and island biogeography

Cited by 64 publications

References 29 publications

SPATIAL VARIATIONS IN RARITY IN THE AEGEAN TENEBRIONID BEETLES (Coleoptera, Tenebrionidae)

SPATIAL VARIATIONS IN RARITY IN THE AEGEAN TENEBRIONID BEETLES (Coleoptera, Tenebrionidae)

Long - Term Dynamic Patterns and Diversity of Phytoplankton Commun Ities in a Large Eutrophic River (The Case of River Danube, Hungary

Niche partitioning in tenebrionid species (Coleoptera: Tenebrionidae) inhabiting Mediterranean coastal dunes

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