Abundância Marcus

N = Σn_i. Raridade = singletons/N.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

N total
100
Raridade

Formula

Singletons / N

About this calculator

The Marcus Abundance Index is an ecological metric used to assess the richness of rare species in an environment by calculating the proportion of singleton species (those with only one observed individual) relative to the total number of individuals. The formula divides the count of singleton species by the sum of all individuals (N = Σn_i). It is widely applied in biodiversity studies to identify ecosystems with a high reliance on rare species, such as in fragmented or threatened habitats.

To compute the index, divide the number of species with a single recorded individual by the total number of individuals sampled (N). Values close to 1 indicate that most species are rare, while lower values suggest dominance by common species. This is particularly useful in conservation research, where the loss of rare species may signal environmental stressors. For instance, in a threatened forest, a high index score might highlight an imminent extinction risk for unique species.

This tool is ideal for community ecology studies where prioritizing areas for conservation based on species vulnerability is key. However, representative and adequately sampled data are crucial, as results may vary with sampling bias. It is not recommended for environments dominated by common species, where the index might underestimate diversity. Combining this index with metrics like Shannon or Simpson diversity provides a more comprehensive analysis.

When using the Marcus Abundance Index, it is important to compare it with other metrics for a robust interpretation. Additionally, understanding its limitations is key: the method focuses exclusively on rarity and ignores species with multiple individuals. This can limit its application in high-density ecosystems where common species dominate the landscape.

Frequently asked questions

What is the purpose of the Marcus Abundance Index?

It evaluates the proportion of rare species (with only one individual) relative to the total individuals in a sample, helping identify ecosystems at risk of diversity loss.

How does the Singletons / N formula work?

It divides the number of singleton species by the total individual count (N), highlighting rare species' richness in the sample.

When should this index be used?

Use it in conservation studies or areas with high reliance on rare species, such as fragmented or threatened ecosystems.

What limitations should I consider?

The index is sensitive to incomplete sampling and ignores species with multiple individuals, potentially underestimating diversity in common environments.

Do I need a complete sample for reliable results?

Yes, representative sampling and proper collection are crucial to avoid biases, especially in areas with low rare species density.

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