Coupling Bacterial Community Assembly to Microbial Metabolism across Soil Profiles by Lu Luan, Chao Liang, Lijun Chen, Haotian Wang, Qinsong Xu, Yuji Jiang, Bo Sun

“…The migration rate (m) and β-null deviation pattern supported the hypothesis of a relatively greater influence of dispersal in deep soil, which was correlated with bacterial community assembly by stochastic processes. These changes in the entire community assembly reflected consistent assembly processes of the two most dominant phyla, Acidobacteria and Chloroflexi. …”
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Regional biogeography versus intra-annual dynamics of the root and soil microbiome by Lukas P. Bell-Dereske, Gian Maria Niccolò Benucci, Pedro Beschoren da Costa, Gregory Bonito, Maren L. Friesen, Lisa K. Tiemann, Sarah E. Evans

“…Though all microbial communities were found to have significant spatiotemporal patterns, sampling site and collection date better explained bacterial than fungal community structure, which appeared more defined by stochastic processes. Root communities, especially bacterial, were more temporally structured than soil communities which were more spatially structured, both across and within sampling sites. …”
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Assembly process and co-occurrence network of microbial community in response to free ammonia gradient distribution by Shengjie Sun, Zhiyi Qiao, Kexin Sun, Da Huo

“…Key nodes, identified as connectors and module hubs, played crucial roles in maintaining network structure, particularly Cyanobacteria and Actinobacteriaota. Furthermore, stochastic processes, particularly drift and dispersal limitation, predominantly shaped the microbial communities. …”
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Impact of nitrogen fertilizer application on soil fungal diversity and maize yield variation in Shandong Province, China by Lara Sindhu, Yingying Song, Lili Li, Hongyign Cui, Wenxiu Guo, Suhong Lv, Yi Yu, Xingyuan Men

“…Functional ecology analysis indicated that soil N upregulated the composition of ecological fungal communities by stochastic processes. The composition of major fungal sub-communities was positively correlated with nitrogen/carbon cycling at N80. …”
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Life Cycle Dynamics of a Key Marine Species Under Multiple Stressors by Saskia A. Otto, Susa Niiranen, Thorsten Blenckner, Maciej T. Tomczak, Bärbel Müller-Karulis, Gunta Rubene, Christian Möllmann

“…Our model integrates linear and non-linear responses to changes in life stage density, climate and predation pressure as well as stochastic processes. We use the integrated life cycle model to simulate copepod dynamics under a combination of stressor scenarios and to identify conditions under which population responses are potentially mitigated or magnified. …”
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Responses of mesophilic anaerobic sludge microbiota to thermophilic conditions: implications for start-up and operation of thermophilic THP-AD systems by Zhang, Liang, Gong, Xianzhe, Xu, Ronghua, Guo, Kun, Wang, Li, Zhou, Yan

“…Deterministic processes predominated the community assembly regardless of AD ecosystem function, but stronger influences of stochastic processes were observed in dysfunctional AD ecosystems, which was likely attributable from the stronger effect of immigrants from the feedstock. …”
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Product growth and mixing in finite groups. by Babai, L, Nikolov, N, Pyber, L

“…We derive applications of the convolution inequality (0.1) to a variety of areas, ranging from stochastic processes to additive combinatorics to group theory. …”

Photosynthetic characteristics of dipterocarp seedlings in three tropical rain forest light environments: a basis for niche partitioning? by Barker, MG, Press, M, Brown, N

“…As an alternative to niche partitioning, dipterocarp species may co-exist in natural light environments as a result of habitat disequilibrium or purely stochastic processes.…”

Community organization and network complexity and stability: contrasting strategies of prokaryotic versus eukaryotic microbiomes in the Bohai Sea and Yellow Sea by Xiaoxiao Wang, Hualong Wang, Yantao Liang, Andrew McMinn, Min Wang

“…Abundant subgroups of prokaryotic/eukaryotic microbiomes exhibited greater environmental niche breadth and lower phylogenetic distance compared to the rare subgroups. Stochastic processes contributed greatly to microbiome dynamics, and deterministic processes governed the bacterioplankton organization with a lower phylogenetic turnover rate. …”
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From guest to host: parasite Cistanche deserticola shapes and dominates bacterial and fungal community structure and network complexity by Yujing Miao, Xinke Zhang, Guoshuai Zhang, Zhan Feng, Jin Pei, Chang Liu, Linfang Huang

“…Additionally, the parasite increased the proportion of stochastic processes mainly belonging to dispersal limitation in the bacterial microbiota of RHA. …”
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Effect of alternating salinity stress on the gut microbiota of razor clam Sinonovacula constricta by Yi Yuan, Qunqun Jiang, Qinggang Xue, Qinggang Xue, Zhihua Lin, Zhihua Lin, Wenfang Dai, Wenfang Dai

“…Alternating salinity stress increased the proportion of stochastic processes in governing the gut microbiota to a certain extent, and the stochasticity aggravated with the increase of stress time. …”
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Biogeographic Patterns and Community Assembly Processes of Bacterioplankton and Potential Pathogens in Subtropical Estuaries in China by Wenjian Chen, Shilei Sang, Liyi Shao, Yusen Li, Tongzhou Li, Lihong Gan, Li Liu, Dapeng Wang, Lei Zhou

“…Null-model analysis revealed that deterministic processes (heterogeneous selection) dominated bacterioplankton community assembly, while stochastic processes (undominated effect) shaped the potential pathogen community. …”
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Decadal changes in species composition of rare oak Quercus chungii forests with logging history by Wenbin Li, Xueer Zhong, Zhenji Li, Yonghui Huang, Xinfeng Chen, Lihan Huang, Ya Wang, Yuxin Chen

“…In this study, we assessed how species and phylogenetic composition of Q. chungii communities changed, and whether these temporal trajectories were primarily contributed by stochastic processes. We established two sites composed by Q. chungii adult trees in the nature reserve in 2013, and measured their species composition in 2013 and 2023, respectively. …”
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Elevational distribution patterns and drivers factors of fungal community diversity at different soil depths in the Abies georgei var. smithii forests on Sygera Mountains, southeas... by Bo Zhang, Bo Zhang, Bo Zhang, Bo Zhang, Sijie Zhu, Sijie Zhu, Sijie Zhu, Sijie Zhu, Jiangrong Li, Jiangrong Li, Jiangrong Li, Jiangrong Li, Jiangrong Li, Fangwei Fu, Fangwei Fu, Fangwei Fu, Fangwei Fu, Liangna Guo, Liangna Guo, Liangna Guo, Liangna Guo, Jieting Li, Jieting Li, Jieting Li, Jieting Li, Yibo Zhang, Yibo Zhang, Yibo Zhang, Yibo Zhang, Yuzhuo Liu, Yuzhuo Liu, Yuzhuo Liu, Yuzhuo Liu, Ganggang Chen, Ganggang Chen, Ganggang Chen, Ganggang Chen, Gengxin Zhang

“…By contrast, the assembly mechanisms of the 10–20 and 20–30 cm fungal communities shifted from deterministic to stochastic processes as elevation increased. 3) The network complexity of the 0–10 cm fungal community gradually increased with elevation, while that of the 10–20 and 20–30 cm fungal communities exhibited a decreasing trend. …”
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Coupling Bacterial Community Assembly to Microbial Metabolism across Soil Profiles by Lu Luan, Chao Liang, Lijun Chen, Haotian Wang, Qinsong Xu, Yuji Jiang, Bo Sun

“…The migration rate (m) and β-null deviation pattern supported the hypothesis of a relatively greater influence of dispersal in deep soil, which was correlated with bacterial community assembly by stochastic processes. These changes in the entire community assembly reflected consistent assembly processes of the two most dominant phyla, Acidobacteria and Chloroflexi. …”
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Salinity Is a Key Determinant for Soil Microbial Communities in a Desert Ecosystem by Kaoping Zhang, Yu Shi, Xiaoqing Cui, Ping Yue, Kaihui Li, Xuejun Liu, Binu M. Tripathi, Haiyan Chu

“…NTI showed a significantly negative relationship with salinity, suggesting that the microbial community was less phylogenetically clustered in more-saline soils. βNTI, the between-community analogue of NTI, showed that deterministic processes have overtaken stochastic processes across all sites, suggesting the importance of environmental filtering in microbial community assembly. …”
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Salinity Is a Key Determinant for Soil Microbial Communities in a Desert Ecosystem by Kaoping Zhang, Yu Shi, Xiaoqing Cui, Ping Yue, Kaihui Li, Xuejun Liu, Binu M. Tripathi, Haiyan Chu

“…NTI showed a significantly negative relationship with salinity, suggesting that the microbial community was less phylogenetically clustered in more-saline soils. βNTI, the between-community analogue of NTI, showed that deterministic processes have overtaken stochastic processes across all sites, suggesting the importance of environmental filtering in microbial community assembly. …”
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Distinct Responses of Rare and Abundant Microbial Taxa to In Situ Chemical Stabilization of Cadmium-Contaminated Soil by Min Xu, Qiaoyun Huang, Zhenqian Xiong, Hao Liao, Zhenguang Lv, Wenli Chen, Xuesong Luo, Xiuli Hao

“…The assemblies of rare and abundant bacterial communities were dominated by variable selection and stochastic processes (dispersal limitation and undominated processes), respectively, while assemblies of both rare and abundant fungal communities were governed by dispersal limitation. …”
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The dynamics of natural populations: feedback structures in fluctuating environments La dinámica de las poblaciones naturales: estructuras de retroalimentación en ambientes fluctua... by MAURICIO LIMA

“…Recent findings and a more synthetic view of population change espoused by ecologists, statisticians, and mathematicians have integrated the role of nonlinear feedback (deterministic) and external environmental (deterministic or stochastic) processes in the dynamics of natural populations. …”
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Deterministic and Stochastic Analysis of Fractional-Order Legendre Filter with Uncertain Parameters by Mohammed A. Hassan, Andrew Amgad, Osama H. Galal

“…These uncertain parameters were implemented using both random variables and stochastic processes. The system response was assessed using the Monte Carlo simulation method, and the mean, standard deviation, probability density function, and lower and upper bounds were plotted. …”
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