On General Mathematical Constraints Applying to the Kinetics of Species Discovery during Progressive Sampling: Consequences on the Theoretical Expression of the Species Accumulation Curve
Advances in Research · pp. 1–17 · Published 3 Mar 2017
10.9734/AIR/2016/31791Abstract
The “Species Accumulation Curve” accounts for the rate of increase of the number of recorded species during progressive sampling of an assemblage of species. Due to the usual incompleteness of samplings, the accurate extrapolation of the Species Accumulation Curve has become an essential tool to estimate the total species richness of a sampled assemblage and to predict the additional sampling effort required to obtain a given increase of sample completeness. In this perspective, important efforts have been devoted to improve the accuracy of the extrapolation of the Species Accumulation Curves. Substantial progress in this respect was achieved recently by considering a general mathematical relationship that constrains the theoretical expression of any kind of Species Accumulation Curves. Moreover, this general relationship proves having interesting corollaries applying specifically to the detailed process of species accumulation during progressive sampling. Hereafter, I first derive these correlative relationships and then I show how they link together the variations of the numbers of species respectively recorded 1-, 2-, 3- …, x- times and their cumulative contributions to the Species Accumulation Curve. This, in turn, provides suggestive insights regarding the remarkably regulated mechanism of species discovery and accumulation during progressive sampling effort.
References (12)
- 1 INTERPOLATING, EXTRAPOLATING, AND COMPARING INCIDENCE-BASED SPECIES ACCUMULATION CURVES [DOI]
- 2 The Use of Species Accumulation Functions for the Prediction of Species Richness [DOI]
- 3 The species–accumulation curve and estimation of species richness [DOI]
- 4 Estimating Population Size Via Sample Coverage for Closed Capture-Recapture Models [DOI]
- 5 Discovering and rediscovering the sample-based rarefaction formula in the ecological literature [DOI]
- 6 Assessing biodiversity with species accumulation curves; inventories of small reptiles by pit‐trapping in Western Australia [DOI]
- 7 Comparing species richness among assemblages using sample units: why not use extrapolation methods to standardize different sample sizes? [DOI]
- 8 Applications of species accumulation curves in large‐scale biological data analysis [DOI]
- 9 Theoretical Derivation of a Bias-reduced Expression for the Extrapolation of the Species Accumulation Curve and the Associated Estimation of Total Species Richness [DOI]
- 10 A butterfly hotspot in western China, its environmental threats and conservation [DOI]
- 11 Butterfly fauna in Mount Gariwang-san, Korea [DOI]
- 12 Measuring and Estimating Species Richness, Species Diversity, and Biotic Similarity from Sampling Data [DOI]
Cited by 11
Jean Béguinot · Advances in Research · 2018
Jean Béguinot · Advances in Research · 2017
Jean Béguinot · Annual Research & Review in Biology · 2021
Jean Béguinot · Annual Research & Review in Biology · 2021
Jean Béguinot · Asian Journal of Biology · 2017
Showing 5 of 11 known citations — external sources report more than can currently be individually listed.
Related research
- Estimating Tibia Length: An Anatomical Landmarks Evaluation of Bones and X-ray Radiographs — shares topic coverage
- Soil Vulnerability Assessment of Afikpo South Local Government Area, Ebonyi State, Nigeria — shares topic coverage
- Estimation of Maximum Cycle Temperature and Pressure Ratio for Optimum Design and Operations of Gas Turbine Power Plant — shares topic coverage
- Competitive Biodiversity of Human and Vascular Plant Species: The Implications for Pharmaceutical Industries, Health and World Economy Part- 2 — shares topic coverage
- “Pollard-walk” Butterfly Survey does not Warrant the Equity of Sampling-completeness among Butterfly Families: A Case Study with Tropical Butterfly Fauna in Bhutan — shares topic coverage
Article metrics
Real usage data collected on this platform.
78
Page views
0
PDF downloads
17
Outbound clicks
11
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.