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Bao S, Wang W, Deng Z, Zhou R, Zeng S, Hou D, He J, Huang Z. Changes of bacterial communities and bile acid metabolism reveal the potential "intestine-hepatopancreas axis" in shrimp. THE SCIENCE OF THE TOTAL ENVIRONMENT 2024; 938:173384. [PMID: 38815838 DOI: 10.1016/j.scitotenv.2024.173384] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Academic Contribution Register] [Received: 03/27/2024] [Revised: 05/11/2024] [Accepted: 05/18/2024] [Indexed: 06/01/2024]
Abstract
The interaction between the gut and the liver plays a significant role in individual health and diseases. Mounting evidence supports that bile acids are important metabolites in the bidirectional communication between the gut and the liver. Most of the current studies on the "gut-liver axis" have focused on higher vertebrates, however, few was reported on lower invertebrates such as shrimp with an open circulatory system. Here, microbiomic and metabolomic analyses were conducted to investigate the bacterial composition and bile acid metabolism in intestine, hemolymph and hepatopancreas of Penaeus vannamei fed diets supplemented with octanoic acid and oleic acid. After six days of feeding, the bacterial composition in intestine, hemolymph and hepatopancreas changed at different stages, with significant increases in the relative abundance of several genera such as Pseudomonas and Rheinheimera in intestine and hepatopancreas. Notably, there was a more similar bacterial composition in intestine and hepatopancreas at the genus level, which indicated the close communication between shrimp intestine and hepatopancreas. Meanwhile, higher content of some bile acids such as lithocholic acid (LCA) and α-muricholic acid (α-MCA) in intestine and lower content of some bile acids such as taurohyocholic acids (THCA) and isolithocholic acid (IsoLCA) in hepatopancreas were detected. Furthermore, Spearman correlation analysis revealed a significant correlation between bacterial composition and bile acid metabolism in intestine and hepatopancreas. The microbial source tracking analysis showed that there was a high proportion of intestine and hepatopancreas bacterial community as the source of each other. Collectively, these results showed a strong crosstalk between shrimp intestine and hepatopancreas, which suggests a unique potential "intestine-hepatopancreas axis" in lower invertebrate shrimp with an open circulatory system. Our finding contributed to the understanding of the interplay between shrimp intestine and hepatopancreas in the view of microecology and provided new ideas for shrimp farming and disease control.
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Affiliation(s)
- Shicheng Bao
- School of Marine Sciences, Sun Yat-sen University, Zhuhai 519082, China
| | - Wenjun Wang
- School of Marine Sciences, Sun Yat-sen University, Zhuhai 519082, China
| | - Zhixuan Deng
- School of Marine Sciences, Sun Yat-sen University, Zhuhai 519082, China
| | - Renjun Zhou
- School of Marine Sciences, Sun Yat-sen University, Zhuhai 519082, China
| | - Shenzheng Zeng
- School of Marine Sciences, Sun Yat-sen University, Zhuhai 519082, China
| | - Dongwei Hou
- School of Marine Sciences, Sun Yat-sen University, Zhuhai 519082, China
| | - Jianguo He
- School of Marine Sciences, Sun Yat-sen University, Zhuhai 519082, China; Southern Marine Sciences and Engineering Guangdong Laboratory (Zhuhai), Sun Yat-sen University, Zhuhai 519082, China; State Key Laboratory of Biocontrol, Sun Yat-sen University, Guangzhou 510275, China
| | - Zhijian Huang
- School of Marine Sciences, Sun Yat-sen University, Zhuhai 519082, China; Southern Marine Sciences and Engineering Guangdong Laboratory (Zhuhai), Sun Yat-sen University, Zhuhai 519082, China; State Key Laboratory of Biocontrol, Sun Yat-sen University, Guangzhou 510275, China.
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2
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Zheng X, Yan Z, Zhao C, He L, Lin Z, Liu M. Homogeneous environmental selection mainly determines the denitrifying bacterial community in intensive aquaculture water. Front Microbiol 2023; 14:1280450. [PMID: 38029183 PMCID: PMC10653326 DOI: 10.3389/fmicb.2023.1280450] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Academic Contribution Register] [Received: 08/22/2023] [Accepted: 10/18/2023] [Indexed: 12/01/2023] Open
Abstract
Nitrate reduction by napA (encodes periplasmic nitrate reductase) bacteria and nitrous oxide reduction by nosZ (encodes nitrous oxide reductase) bacteria play important roles in nitrogen cycling and removal in intensive aquaculture systems. This study investigated the diversity, dynamics, drivers, and assembly mechanisms of total bacteria as well as napA and nosZ denitrifiers in intensive shrimp aquaculture ponds over a 100-day period. Alpha diversity of the total bacterial community increased significantly over time. In contrast, the alpha diversity of napA and nosZ bacteria remained relatively stable throughout the aquaculture process. The community structure changed markedly across all groups over the culture period. Total nitrogen, phosphate, total phosphorus, and silicate were identified as significant drivers of the denitrifying bacterial communities. Network analysis revealed complex co-occurrence patterns between total, napA, and nosZ bacteria which fluctuated over time. A null model approach showed that, unlike the total community dominated by stochastic factors, napA and nosZ bacteria were primarily governed by deterministic processes. The level of determinism increased with nutrient loading, suggesting the denitrifying community can be manipulated by bioaugmentation. The dominant genus Ruegeria may be a promising candidate for introducing targeted denitrifiers into aquaculture systems to improve nitrogen removal. Overall, this study provides important ecological insights into aerobic and nitrous oxide-reducing denitrifiers in intensive aquaculture, supporting strategies to optimize microbial community structure and function.
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Affiliation(s)
- Xiafei Zheng
- Ninghai Institute of Mariculture Breeding and Seed Industry, Zhejiang Wanli University, Ningbo, China
- Zhejiang Key Laboratory of Aquatic Germplasm Resource, College of Biological and Environmental Sciences, Zhejiang Wanli University, Ningbo, China
| | - Zhongneng Yan
- Ninghai Institute of Mariculture Breeding and Seed Industry, Zhejiang Wanli University, Ningbo, China
- Zhejiang Key Laboratory of Aquatic Germplasm Resource, College of Biological and Environmental Sciences, Zhejiang Wanli University, Ningbo, China
| | - Chenxi Zhao
- Ninghai Institute of Mariculture Breeding and Seed Industry, Zhejiang Wanli University, Ningbo, China
- Zhejiang Key Laboratory of Aquatic Germplasm Resource, College of Biological and Environmental Sciences, Zhejiang Wanli University, Ningbo, China
| | - Lin He
- Ninghai Institute of Mariculture Breeding and Seed Industry, Zhejiang Wanli University, Ningbo, China
- Zhejiang Key Laboratory of Aquatic Germplasm Resource, College of Biological and Environmental Sciences, Zhejiang Wanli University, Ningbo, China
| | - Zhihua Lin
- Ninghai Institute of Mariculture Breeding and Seed Industry, Zhejiang Wanli University, Ningbo, China
- Zhejiang Key Laboratory of Aquatic Germplasm Resource, College of Biological and Environmental Sciences, Zhejiang Wanli University, Ningbo, China
| | - Minhai Liu
- Ninghai Institute of Mariculture Breeding and Seed Industry, Zhejiang Wanli University, Ningbo, China
- Zhejiang Key Laboratory of Aquatic Germplasm Resource, College of Biological and Environmental Sciences, Zhejiang Wanli University, Ningbo, China
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Huang Z, Hou D, Zhou R, Zeng S, Xing C, Wei D, Deng X, Yu L, Wang H, Deng Z, Weng S, Ning D, Xiao C, Yan Q, Zhou J, He Z, He J. Environmental Water and Sediment Microbial Communities Shape Intestine Microbiota for Host Health: The Central Dogma in an Anthropogenic Aquaculture Ecosystem. Front Microbiol 2021; 12:772149. [PMID: 34795658 PMCID: PMC8593368 DOI: 10.3389/fmicb.2021.772149] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Academic Contribution Register] [Received: 09/07/2021] [Accepted: 10/08/2021] [Indexed: 12/22/2022] Open
Abstract
From increasing evidence has emerged a tight link among the environment, intestine microbiota, and host health status; moreover, the microbial interaction in different habitats is crucial for ecosystems. However, how the environmental microbial community assembly governs the intestinal microbiota and microbial communities of multiple habitats contribute to the metacommunity remain elusive. Here, we designed two delicate experiments from temporal and spatial scales in a shrimp culture pond ecosystem (SCPE). Of the SCPE metacommunity, the microbial diversity was mainly contributed to by the diversity of–βIntraHabitats and βInterHabitats, and water and sediment communities had a large contribution to the shrimp intestine community as shown by SourceTracker and Sloan neutral community model analyses. Also, phylogenetic bin-based null model results show that microbial assembly of three habitats in the SCPE appeared to be largely driven by stochastic processes. These results enrich our understanding of the environment–intestinal microbiota–host health closely linked relationship, making it possible to be the central dogma for an anthropogenic aquaculture ecosystem. Our findings enhance the mechanistic understanding of microbial assembly in the SCPE for further analyzing metacommunities, which has important implications for microbial ecology and animal health.
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Affiliation(s)
- Zhijian Huang
- State Key Laboratory of Biocontrol, Southern Marine Sciences and Engineering Guangdong Laboratory (Zhuhai), School of Marine Sciences, Sun Yat-sen University, Guangzhou, China.,Institute of Aquatic Economic Animals and Guangdong Province Key Laboratory for Aquatic Economic Animals, School of Life Sciences, Sun Yat-sen University, Guangzhou, China
| | - Dongwei Hou
- State Key Laboratory of Biocontrol, Southern Marine Sciences and Engineering Guangdong Laboratory (Zhuhai), School of Marine Sciences, Sun Yat-sen University, Guangzhou, China
| | - Renjun Zhou
- State Key Laboratory of Biocontrol, Southern Marine Sciences and Engineering Guangdong Laboratory (Zhuhai), School of Marine Sciences, Sun Yat-sen University, Guangzhou, China
| | - Shenzheng Zeng
- State Key Laboratory of Biocontrol, Southern Marine Sciences and Engineering Guangdong Laboratory (Zhuhai), School of Marine Sciences, Sun Yat-sen University, Guangzhou, China
| | - Chengguang Xing
- Institute of Aquatic Economic Animals and Guangdong Province Key Laboratory for Aquatic Economic Animals, School of Life Sciences, Sun Yat-sen University, Guangzhou, China
| | - Dongdong Wei
- Institute of Aquatic Economic Animals and Guangdong Province Key Laboratory for Aquatic Economic Animals, School of Life Sciences, Sun Yat-sen University, Guangzhou, China
| | - Xisha Deng
- State Key Laboratory of Biocontrol, Southern Marine Sciences and Engineering Guangdong Laboratory (Zhuhai), School of Marine Sciences, Sun Yat-sen University, Guangzhou, China
| | - Lingfei Yu
- State Key Laboratory of Biocontrol, Southern Marine Sciences and Engineering Guangdong Laboratory (Zhuhai), School of Marine Sciences, Sun Yat-sen University, Guangzhou, China
| | - Hao Wang
- Institute of Aquatic Economic Animals and Guangdong Province Key Laboratory for Aquatic Economic Animals, School of Life Sciences, Sun Yat-sen University, Guangzhou, China
| | - Zhixuan Deng
- State Key Laboratory of Biocontrol, Southern Marine Sciences and Engineering Guangdong Laboratory (Zhuhai), School of Marine Sciences, Sun Yat-sen University, Guangzhou, China
| | - Shaoping Weng
- State Key Laboratory of Biocontrol, Southern Marine Sciences and Engineering Guangdong Laboratory (Zhuhai), School of Marine Sciences, Sun Yat-sen University, Guangzhou, China.,Institute of Aquatic Economic Animals and Guangdong Province Key Laboratory for Aquatic Economic Animals, School of Life Sciences, Sun Yat-sen University, Guangzhou, China
| | - Daliang Ning
- Department of Microbiology and Plant Biology, Institute for Environmental Genomics, School of Civil Engineering and Environmental Sciences, The University of Oklahoma, Norman, OK, United States
| | - Chuanle Xiao
- State Key Laboratory of Ophthalmology, Zhongshan Ophthalmic Center, Sun Yat-sen University, Guangzhou, China
| | - Qingyun Yan
- State Key Laboratory of Biocontrol, Southern Marine Sciences and Engineering Guangdong Laboratory (Zhuhai), School of Marine Sciences, Sun Yat-sen University, Guangzhou, China.,Environmental Microbiomics Research Center, School of Environmental Science and Engineering, Sun Yat-sen University, Guangzhou, China
| | - Jizhong Zhou
- State Key Laboratory of Biocontrol, Southern Marine Sciences and Engineering Guangdong Laboratory (Zhuhai), School of Marine Sciences, Sun Yat-sen University, Guangzhou, China.,Department of Microbiology and Plant Biology, Institute for Environmental Genomics, School of Civil Engineering and Environmental Sciences, The University of Oklahoma, Norman, OK, United States
| | - Zhili He
- State Key Laboratory of Biocontrol, Southern Marine Sciences and Engineering Guangdong Laboratory (Zhuhai), School of Marine Sciences, Sun Yat-sen University, Guangzhou, China.,Environmental Microbiomics Research Center, School of Environmental Science and Engineering, Sun Yat-sen University, Guangzhou, China
| | - Jianguo He
- State Key Laboratory of Biocontrol, Southern Marine Sciences and Engineering Guangdong Laboratory (Zhuhai), School of Marine Sciences, Sun Yat-sen University, Guangzhou, China.,Institute of Aquatic Economic Animals and Guangdong Province Key Laboratory for Aquatic Economic Animals, School of Life Sciences, Sun Yat-sen University, Guangzhou, China
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4
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Wu Y, Xiao F, Wang C, Shu L, Zheng X, Xu K, Yu X, Zhang K, Luo H, Yang Y, He Z, Yan Q. The Beta-Diversity of Siganus fuscescens-Associated Microbial Communities From Different Habitats Increases With Body Weight. Front Microbiol 2020; 11:1562. [PMID: 32733425 PMCID: PMC7358552 DOI: 10.3389/fmicb.2020.01562] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Academic Contribution Register] [Received: 04/09/2020] [Accepted: 06/16/2020] [Indexed: 01/05/2023] Open
Abstract
Fish-associated microbial communities play important roles in host growth, health and disease in the symbiont ecosystem; however, their diversity patterns and underlying mechanisms in different body habitats remain poorly understood. Siganus fuscescens is one of the most important consumers of macroalgae and an excellent natural marine source of nutritional lipids for humans, and widely distributes in shallow coastal areas. Here we systematically studied the microbial communities of 108 wild S. fuscescens in four body habitats (i.e., skin, gill, stomach, and hindgut) and surrounding water. We found that the β-diversity but not α-diversity of fish-associated microbial communities from each habitat significantly (p < 0.05) increased as body weight increased. Also, opportunistic pathogens and probiotics (e.g., Pseudomongs, Methylobacterium) appeared to be widely distributed in different body habitats, and many digestive bacteria (e.g., Clostridium) in the hindgut; the abundances of some core OTUs associated with digestive bacteria, “Anaerovorax” (OTU_6 and OTU_46724) and “Holdemania” (OTU_33295) in the hindgut increased as body weight increased. Additionally, the quantification of ecological processes indicated that heterogeneous selection was the major process (46–70%) governing the community assembly of fish microbiomes, whereas the undominated process (64%) was found to be more important for the water microbiome. The diversity pattern showed that β-diversity (75%) of the metacommunity overweight the α-diversity (25%), confirming that the niche separation of microbial communities in different habitats and host selection were important to shape the fish-associated microbial community structure. This study enhances our mechanistic understanding of fish-associated microbial communities in different habitats, and has important implications for analyzing host-associated metacommunities.
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Affiliation(s)
- Yongjie Wu
- Environmental Microbiomics Research Center, School of Environmental Science and Engineering, Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai), Sun Yat-sen University, Guangzhou, China
| | - Fanshu Xiao
- Environmental Microbiomics Research Center, School of Environmental Science and Engineering, Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai), Sun Yat-sen University, Guangzhou, China
| | - Cheng Wang
- Environmental Microbiomics Research Center, School of Environmental Science and Engineering, Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai), Sun Yat-sen University, Guangzhou, China
| | - Longfei Shu
- Environmental Microbiomics Research Center, School of Environmental Science and Engineering, Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai), Sun Yat-sen University, Guangzhou, China
| | - Xiafei Zheng
- Environmental Microbiomics Research Center, School of Environmental Science and Engineering, Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai), Sun Yat-sen University, Guangzhou, China
| | - Kui Xu
- Environmental Microbiomics Research Center, School of Environmental Science and Engineering, Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai), Sun Yat-sen University, Guangzhou, China
| | - Xiaoli Yu
- Environmental Microbiomics Research Center, School of Environmental Science and Engineering, Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai), Sun Yat-sen University, Guangzhou, China
| | - Keke Zhang
- Environmental Microbiomics Research Center, School of Environmental Science and Engineering, Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai), Sun Yat-sen University, Guangzhou, China
| | - Hongtian Luo
- Department of Ecology, Institute of Hydrobiology, Jinan University, Guangzhou, China
| | - Yufeng Yang
- Department of Ecology, Institute of Hydrobiology, Jinan University, Guangzhou, China
| | - Zhili He
- Environmental Microbiomics Research Center, School of Environmental Science and Engineering, Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai), Sun Yat-sen University, Guangzhou, China.,College of Agronomy, Hunan Agricultural University, Changsha, China
| | - Qingyun Yan
- Environmental Microbiomics Research Center, School of Environmental Science and Engineering, Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai), Sun Yat-sen University, Guangzhou, China
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5
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Escalas A, Troussellier M, Yuan T, Bouvier T, Bouvier C, Mouchet MA, Flores Hernandez D, Ramos Miranda J, Zhou J, Mouillot D. Functional diversity and redundancy across fish gut, sediment and water bacterial communities. Environ Microbiol 2017; 19:3268-3282. [PMID: 28618142 DOI: 10.1111/1462-2920.13822] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Academic Contribution Register] [Received: 08/25/2016] [Accepted: 06/07/2017] [Indexed: 11/26/2022]
Abstract
This article explores the functional diversity and redundancy in a bacterial metacommunity constituted of three habitats (sediment, water column and fish gut) in a coastal lagoon under anthropogenic pressure. Comprehensive functional gene arrays covering a wide range of ecological processes and stress resistance genes to estimate the functional potential of bacterial communities were used. Then, diversity partitioning was used to characterize functional diversity and redundancy within (α), between (β) and across (γ) habitats. It was showed that all local communities exhibit a highly diversified potential for the realization of key ecological processes and resistance to various environmental conditions, supporting the growing evidence that macro-organisms microbiomes harbour a high functional potential and are integral components of functional gene dynamics in aquatic bacterial metacommunities. Several levels of functional redundancy at different scales of the bacterial metacommunity were observed (within local communities, within habitats and at the metacommunity level). The results suggested a high potential for the realization of spatial ecological insurance within this ecosystem, that is, the functional compensation among microorganisms for the realization and maintenance of key ecological processes, within and across habitats. Finally, the role of macro-organisms as dispersal vectors of microbes and their potential influence on marine metacommunity dynamics were discussed.
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Affiliation(s)
- Arthur Escalas
- Institute for Environmental Genomics and Department of Microbiology and Plant Biology, University of Oklahoma, Norman, OK, 73019, USA
| | - Marc Troussellier
- UMR 9190 MARBEC, IRD-CNRS-UM-IFREMER, Université Montpellier, 34095 Montpellier Cedex, France
| | - Tong Yuan
- Institute for Environmental Genomics and Department of Microbiology and Plant Biology, University of Oklahoma, Norman, OK, 73019, USA
| | - Thierry Bouvier
- UMR 9190 MARBEC, IRD-CNRS-UM-IFREMER, Université Montpellier, 34095 Montpellier Cedex, France
| | - Corinne Bouvier
- UMR 9190 MARBEC, IRD-CNRS-UM-IFREMER, Université Montpellier, 34095 Montpellier Cedex, France
| | - Maud A Mouchet
- UMR 7204 CESCO, Muséum d'Histoire Naturelle, 55 rue Buffon, Paris, 75005, France
| | - Domingo Flores Hernandez
- Centro de Ecología, Pesquerias y Oceanographia de Golfo de México, Universidad Autonoma de Campeche, Campeche, Mexico
| | - Julia Ramos Miranda
- Centro de Ecología, Pesquerias y Oceanographia de Golfo de México, Universidad Autonoma de Campeche, Campeche, Mexico
| | - Jizhong Zhou
- Institute for Environmental Genomics and Department of Microbiology and Plant Biology, University of Oklahoma, Norman, OK, 73019, USA.,Earth Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA.,State Key Joint Laboratory of Environment Simulation and Pollution Control, School of Environment, Tsinghua University, Beijing, 100084, China
| | - David Mouillot
- UMR 9190 MARBEC, IRD-CNRS-UM-IFREMER, Université Montpellier, 34095 Montpellier Cedex, France.,Australian Research Council Centre of Excellence for Coral Reef Studies, James Cook University, Townsville, QLD, 4811, Australia
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Hill number as a bacterial diversity measure framework with high-throughput sequence data. Sci Rep 2016; 6:38263. [PMID: 27901123 PMCID: PMC5128788 DOI: 10.1038/srep38263] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Academic Contribution Register] [Received: 07/14/2016] [Accepted: 11/08/2016] [Indexed: 12/27/2022] Open
Abstract
Bacterial diversity is an important parameter for measuring bacterial contributions to the global ecosystem. However, even the task of describing bacterial diversity is challenging due to biological and technological difficulties. One of the challenges in bacterial diversity estimation is the appropriate measure of rare taxa, but the uncertainty of the size of rare biosphere is yet to be experimentally determined. One approach is using the generalized diversity, Hill number (Na), to control the variability associated with rare taxa by differentially weighing them. Here, we investigated Hill number as a framework for microbial diversity measure using a taxa-accmulation curve (TAC) with soil bacterial community data from two distinct studies by 454 pyrosequencing. The reliable biodiversity estimation was obtained when an increase in Hill number arose as the coverage became stable in TACs for a ≥ 1. In silico analysis also indicated that a certain level of sampling depth was desirable for reliable biodiversity estimation. Thus, in order to attain bacterial diversity from second generation sequencing, Hill number can be a good diversity framework with given sequencing depth, that is, until technology is further advanced and able to overcome the under- and random-sampling issues of the current sequencing approaches.
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Distance-based functional diversity measures and their decomposition: a framework based on Hill numbers. PLoS One 2014; 9:e100014. [PMID: 25000299 PMCID: PMC4085071 DOI: 10.1371/journal.pone.0100014] [Citation(s) in RCA: 77] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Academic Contribution Register] [Received: 12/15/2013] [Accepted: 05/21/2014] [Indexed: 01/18/2023] Open
Abstract
Hill numbers (or the “effective number of species”) are increasingly used to characterize species diversity of an assemblage. This work extends Hill numbers to incorporate species pairwise functional distances calculated from species traits. We derive a parametric class of functional Hill numbers, which quantify “the effective number of equally abundant and (functionally) equally distinct species” in an assemblage. We also propose a class of mean functional diversity (per species), which quantifies the effective sum of functional distances between a fixed species to all other species. The product of the functional Hill number and the mean functional diversity thus quantifies the (total) functional diversity, i.e., the effective total distance between species of the assemblage. The three measures (functional Hill numbers, mean functional diversity and total functional diversity) quantify different aspects of species trait space, and all are based on species abundance and species pairwise functional distances. When all species are equally distinct, our functional Hill numbers reduce to ordinary Hill numbers. When species abundances are not considered or species are equally abundant, our total functional diversity reduces to the sum of all pairwise distances between species of an assemblage. The functional Hill numbers and the mean functional diversity both satisfy a replication principle, implying the total functional diversity satisfies a quadratic replication principle. When there are multiple assemblages defined by the investigator, each of the three measures of the pooled assemblage (gamma) can be multiplicatively decomposed into alpha and beta components, and the two components are independent. The resulting beta component measures pure functional differentiation among assemblages and can be further transformed to obtain several classes of normalized functional similarity (or differentiation) measures, including N-assemblage functional generalizations of the classic Jaccard, Sørensen, Horn and Morisita-Horn similarity indices. The proposed measures are applied to artificial and real data for illustration.
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