Abstract

Theoretical models are useful to investigate the drivers of community dynamics. In the simplest case of neutral models, the events of death, birth and immigration of individuals are assumed to only depend on their abundance—thus, all types share the same parameters. The community level expectations arising from these simple models and their agreement to empirical data have been discussed extensively, often suggesting that in nature, rates might indeed be neutral or their differences might not be important. However, how robust are these model predictions to type-specific rates? Also, what are the consequences at the level of types? Here, we address these questions moving from simple neutral communities to heterogeneous communities. For this, we build a model where types are differently adapted to the environment. We compute the equilibrium distribution of the abundances. Then, we look into the occurrence-abundance pattern often reported in microbial communities. We observe that large immigration and biodiversity—common in microbial systems—lead to such patterns, regardless of whether the rates are neutral or non-neutral. We conclude by discussing the implications to interpret and test empirical data.

Highlights

  • Theoretical models have been instrumental in understanding ecological systems

  • [16] and Allouche & Kadmon [22], we model death, birth 2 and immigration within a community, but in contrast to these neutral models, type-specific growth and death rates are determined by the environment

  • We consider a set of local communities connected by immigration to a larger community which contains multiple types of individuals

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Summary

Introduction

Theoretical models have been instrumental in understanding ecological systems. Historically, a handful of puzzling natural observations have motivated their development—from the limits of exponential growth by Malthus [1] to the competition of species by Lotka & Volterra [2,3].The stark difference of the frequencies of species within communities is one such observation. It is proposed that biotic interactions and environmental filtering make trophically similar species occupy different niches, which allows differences in abundance while preserving diversity. This is known as niche theory [5]. Hubbell et al [6] have emphasized that even if niche differences are discounted, so only species’ abundances matter, random fluctuations can lead to the patterns of abundance and diversity observed in nature. This is known as neutral ecological theory [7]

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