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Host behaviour driven by awareness of infection risk amplifies the chance of superspreading events. 受感染风险意识驱动的宿主行为扩大了超级传播事件的机会。
IF 3.7 2区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-07-01 Epub Date: 2024-07-24 DOI: 10.1098/rsif.2024.0325
Kris V Parag, Robin N Thompson

We demonstrate that heterogeneity in the perceived risks associated with infection within host populations amplifies chances of superspreading during the crucial early stages of epidemics. Under this behavioural model, individuals less concerned about dangers from infection are more likely to be infected and attend larger sized (riskier) events, where we assume event sizes remain unchanged. For directly transmitted diseases such as COVID-19, this leads to infections being introduced at rates above the population prevalence to those events most conducive to superspreading. We develop an interpretable, computational framework for evaluating within-event risks and derive a small-scale reproduction number measuring how the infections generated at an event depend on transmission heterogeneities and numbers of introductions. This generalizes previous frameworks and quantifies how event-scale patterns and population-level characteristics relate. As event duration and size grow, our reproduction number converges to the basic reproduction number. We illustrate that even moderate levels of heterogeneity in the perceived risks of infection substantially increase the likelihood of disproportionately large clusters of infections occurring at larger events, despite fixed overall disease prevalence. We show why collecting data linking host behaviour and event attendance is essential for accurately assessing the risks posed by invading pathogens in emerging stages of outbreaks.

我们证明,在流行病的关键早期阶段,宿主群体对感染相关风险认知的异质性会扩大超级传播的机会。在这一行为模型下,对感染危险不太在意的个体更有可能受到感染并参加规模更大(风险更大)的活动,我们假设活动规模保持不变。对于 COVID-19 等直接传播的疾病,这将导致感染率高于人口流行率,从而导致最有利于超级传播的事件发生。我们开发了一个可解释的计算框架,用于评估事件内风险,并得出了一个小规模繁殖数,用于衡量事件中产生的感染是如何依赖于传播异质性和引入数量的。这就推广了以前的框架,并量化了事件规模模式与种群水平特征之间的关系。随着事件持续时间和规模的增长,我们的繁殖数会向基本繁殖数靠拢。我们说明,尽管总体疾病流行率是固定的,但在较大的事件中,即使感染风险感知方面存在中等程度的异质性,也会大大增加出现不成比例的大规模感染集群的可能性。我们说明了为什么收集将宿主行为与活动出席率联系起来的数据对于准确评估病原体入侵在疫情爆发的新阶段所造成的风险至关重要。
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引用次数: 0
Modelling Lassa virus dynamics in West African Mastomys natalensis and the impact of human activities. 拉沙病毒在西非蝠鲼中的动态模型及人类活动的影响。
IF 3.7 2区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-07-01 Epub Date: 2024-07-24 DOI: 10.1098/rsif.2024.0106
Reju Sam John, Hammed Olawale Fatoyinbo, David T S Hayman

Lassa fever is a West African rodent-borne viral haemorrhagic fever that kills thousands of people a year, with 100 000 to 300 000 people a year probably infected by Lassa virus (LASV). The main reservoir of LASV is the Natal multimammate mouse, Mastomys natalensis. There is reported asynchrony between peak infection in the rodent population and peak Lassa fever risk among people, probably owing to differing seasonal contact rates. Here, we developed a susceptible-infected-recovered ([Formula: see text])-based model of LASV dynamics in its rodent host, M. natalensis, with a persistently infected class and seasonal birthing to test the impact of changes to seasonal birthing in the future owing to climate and land use change. Our simulations suggest shifting rodent birthing timing and synchrony will alter the peak of viral prevalence, changing risk to people, with viral dynamics mainly stable in adults and varying in the young, but with more infected individuals. We calculate the time-average basic reproductive number, [Formula: see text], for this infectious disease system with periodic changes to population sizes owing to birthing using a time-average method and with a sensitivity analysis show four key parameters: carrying capacity, adult mortality, the transmission parameter among adults and additional disease-induced mortality impact the maintenance of LASV in M. natalensis most, with carrying capacity and adult mortality potentially changeable owing to human activities and interventions.

拉沙热是一种西非啮齿类动物传播的病毒性出血热,每年造成数千人死亡,每年可能有 10 万至 30 万人感染拉沙病毒(LASV)。拉沙病毒的主要携带者是纳塔尔多瘤鼠 Mastomys natalensis。据报道,啮齿动物的感染高峰与人类的拉沙热风险高峰并不同步,这可能是由于季节性接触率不同造成的。在这里,我们建立了一个基于易感-感染-恢复([公式:见正文])的拉沙病毒在其啮齿类宿主纳塔尔鼠中的动态模型,该模型具有持续感染等级和季节性繁殖,以测试未来由于气候和土地利用变化而导致的季节性繁殖变化的影响。我们的模拟结果表明,啮齿动物分娩时间和同步性的改变将改变病毒流行的高峰期,从而改变人类面临的风险,成年啮齿动物的病毒动态将主要保持稳定,幼年啮齿动物的病毒动态将有所变化,但受感染的个体数量会增加。我们使用时间平均法计算了这一传染病系统的时间平均基本繁殖数[公式:见正文],该系统的种群数量会因分娩而发生周期性变化,敏感性分析表明,四个关键参数:承载能力、成鼠死亡率、成鼠间传播参数和疾病引起的额外死亡率对纳塔尔啮齿动物中LASV的维持影响最大,而承载能力和成鼠死亡率可能会因人类活动和干预措施而发生变化。
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引用次数: 0
Quantifying the basic reproduction number and underestimated fraction of Mpox cases worldwide at the onset of the outbreak. 量化疫情爆发时全球麻风腮病例的基本繁殖数量和被低估的比例。
IF 3.7 2区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-07-01 Epub Date: 2024-07-24 DOI: 10.1098/rsif.2023.0637
Nicola Luigi Bragazzi, Sarafa Adewale Iyaniwura, Qing Han, Woldegebriel Assefa Woldegerima, Jude Dzevela Kong

In 2022, there was a global resurgence of mpox, with different clinical-epidemiological features compared with previous outbreaks. Sexual contact was hypothesized as the primary transmission route, and the community of men having sex with men (MSM) was disproportionately affected. Because of the stigma associated with sexually transmitted infections, the real burden of mpox could be masked. We quantified the basic reproduction number (R 0) and the underestimated fraction of mpox cases in 16 countries, from the onset of the outbreak until early September 2022, using Bayesian inference and a compartmentalized, risk-structured (high-/low-risk populations) and two-route (sexual/non-sexual transmission) mathematical model. Machine learning (ML) was harnessed to identify underestimation determinants. Estimated R 0 ranged between 1.37 (Canada) and 3.68 (Germany). The underestimation rates for the high- and low-risk populations varied between 25-93% and 65-85%, respectively. The estimated total number of mpox cases, relative to the reported cases, is highest in Colombia (3.60) and lowest in Canada (1.08). In the ML analysis, two clusters of countries could be identified, differing in terms of attitudes towards the 2SLGBTQIAP+ community and the importance of religion. Given the substantial mpox underestimation, surveillance should be enhanced, and country-specific campaigns against the stigmatization of MSM should be organized, leveraging community-based interventions.

2022 年,麻疹腮腺炎在全球再次爆发,其临床流行病学特征与以往的疫情不同。性接触被假定为主要传播途径,男男性行为者(MSM)群体受到的影响尤为严重。由于与性传播感染相关的耻辱感,麻疹的实际负担可能会被掩盖。我们采用贝叶斯推断法和分区风险结构(高/低风险人群)及双途径(性/非性传播)数学模型,量化了从疫情爆发到 2022 年 9 月初 16 个国家的基本繁殖数(R 0)和被低估的天花病例比例。利用机器学习(ML)来确定低估的决定因素。估计的 R 0 介于 1.37(加拿大)和 3.68(德国)之间。高危人群和低危人群的低估率分别在 25-93% 和 65-85% 之间。相对于报告病例,估计的麻风病例总数在哥伦比亚最高(3.60),在加拿大最低(1.08)。在 ML 分析中,可以发现两个国家集群,它们对 2SLGBTQIAP+ 群体的态度和宗教的重要性各不相同。鉴于 mpox 被严重低估,应加强监测,并应组织针对具体国家的运动,利用基于社区的干预措施,消除对 MSM 的污名化。
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引用次数: 0
Culture and effectiveness of distance restriction policies: evidence from the COVID-19 pandemic. 距离限制政策的文化和有效性:来自 COVID-19 大流行的证据。
IF 3.7 2区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-07-01 Epub Date: 2024-07-31 DOI: 10.1098/rsif.2024.0159
Yang Xu, Chen Dong, Wenjing Shao

Natural disasters bring indelible negative impacts to human beings, and people usually adopt some post hoc strategies to alleviate such impacts. However, the same strategies may have different effects in different countries (or regions), which is rarely paid attention by the academic community. In the context of COVID-19, we examine the effect of distance restriction policies (DRP) on reducing human mobility and thus inhibiting the spread of the virus. By establishing a multi-period difference-in-differences model to analyse the unique panel dataset constructed by 44 countries, we show that DRP does significantly reduce mobility, but the effectiveness varies from country to country. We built a moderating effect model to explain the differences from the cultural perspective and found that DRP can be more effective in reducing human mobility in countries with a lower indulgence index. The results remain robust when different sensitivity analyses are performed. Our conclusions call for governments to adapt their policies to the impact of disasters rather than copy each other.

自然灾害给人类带来了不可磨灭的负面影响,人们通常会采取一些事后策略来缓解这种影响。然而,同样的策略在不同的国家(或地区)可能会产生不同的效果,这一点很少受到学术界的关注。在 COVID-19 的背景下,我们研究了距离限制政策(DRP)对减少人员流动从而抑制病毒传播的效果。通过建立多期差分模型来分析由 44 个国家构建的独特面板数据集,我们发现距离限制政策确实显著降低了人口流动性,但其效果因国家而异。我们建立了一个调节效应模型,从文化角度来解释这种差异,结果发现,在放纵指数较低的国家,DRP 能更有效地降低人口流动性。在进行不同的敏感性分析后,结果仍然是稳健的。我们的结论呼吁各国政府根据灾害的影响调整政策,而不是相互照搬。
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引用次数: 0
Impact of infectious diseases on wild bovidae populations in Thailand: insights from population modelling and disease dynamics. 传染病对泰国野生牛科种群的影响:从种群建模和疾病动态中获得的启示。
IF 3.7 2区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-07-01 Epub Date: 2024-07-03 DOI: 10.1098/rsif.2024.0278
Wantida Horpiencharoen, Jonathan C Marshall, Renata L Muylaert, Reju Sam John, David T S Hayman

The wildlife and livestock interface is vital for wildlife conservation and habitat management. Infectious diseases maintained by domestic species may impact threatened species such as Asian bovids, as they share natural resources and habitats. To predict the population impact of infectious diseases with different traits, we used stochastic mathematical models to simulate the population dynamics over 100 years for 100 times in a model gaur (Bos gaurus) population with and without disease. We simulated repeated introductions from a reservoir, such as domestic cattle. We selected six bovine infectious diseases; anthrax, bovine tuberculosis, haemorrhagic septicaemia, lumpy skin disease, foot and mouth disease and brucellosis, all of which have caused outbreaks in wildlife populations. From a starting population of 300, the disease-free population increased by an average of 228% over 100 years. Brucellosis with frequency-dependent transmission showed the highest average population declines (-97%), with population extinction occurring 16% of the time. Foot and mouth disease with frequency-dependent transmission showed the lowest impact, with an average population increase of 200%. Overall, acute infections with very high or low fatality had the lowest impact, whereas chronic infections produced the greatest population decline. These results may help disease management and surveillance strategies support wildlife conservation.

野生动物与家畜之间的联系对于野生动物保护和栖息地管理至关重要。由于家畜与野生动物共享自然资源和栖息地,由家畜维持的传染病可能会对亚洲牛科动物等濒危物种造成影响。为了预测具有不同性状的传染病对种群的影响,我们使用随机数学模型模拟了有病和无病的模范牛(Bos gaurus)种群 100 年 100 次的种群动态。我们模拟了从家畜等贮源地反复引入疾病的情况。我们选择了六种牛传染病:炭疽、牛结核病、出血性败血症、块皮病、口蹄疫和布鲁氏菌病,所有这些疾病都曾在野生动物种群中爆发。在 100 年的时间里,无病种群从最初的 300 只增加到平均 228%。依赖频率传播的布鲁氏菌病显示出最高的平均种群下降率(-97%),16%的情况下出现种群灭绝。依赖频率传播的口蹄疫影响最小,平均种群数量增加了 200%。总体而言,死亡率极高或极低的急性传染病影响最小,而慢性传染病造成的种群数量下降最大。这些结果可能有助于疾病管理和监测策略支持野生动物保护。
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引用次数: 0
Inference on spatiotemporal dynamics for coupled biological populations. 耦合生物种群的时空动态推断。
IF 3.7 2区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-07-01 Epub Date: 2024-07-10 DOI: 10.1098/rsif.2024.0217
Jifan Li, Edward L Ionides, Aaron A King, Mercedes Pascual, Ning Ning

Mathematical models in ecology and epidemiology must be consistent with observed data in order to generate reliable knowledge and evidence-based policy. Metapopulation systems, which consist of a network of connected sub-populations, pose technical challenges in statistical inference owing to nonlinear, stochastic interactions. Numerical difficulties encountered in conducting inference can obstruct the core scientific questions concerning the link between the mathematical models and the data. Recently, an algorithm has been proposed that enables computationally tractable likelihood-based inference for high-dimensional partially observed stochastic dynamic models of metapopulation systems. We use this algorithm to build a statistically principled data analysis workflow for metapopulation systems. Via a case study of COVID-19, we show how this workflow addresses the limitations of previous approaches. The COVID-19 pandemic provides a situation where mathematical models and their policy implications are widely visible, and we revisit an influential metapopulation model used to inform basic epidemiological understanding early in the pandemic. Our methods support self-critical data analysis, enabling us to identify and address model weaknesses, leading to a new model with substantially improved statistical fit and parameter identifiability. Our results suggest that the lockdown initiated on 23 January 2020 in China was more effective than previously thought.

生态学和流行病学中的数学模型必须与观测数据相一致,才能产生可靠的知识和循证政策。元种群系统由相连的子种群网络组成,由于非线性、随机的相互作用,给统计推断带来了技术挑战。推断过程中遇到的数字困难可能会阻碍有关数学模型与数据之间联系的核心科学问题。最近,有人提出了一种算法,可以对高维部分观测的元种群系统随机动态模型进行基于似然法的计算推断。我们利用该算法为元种群系统建立了一个统计学原理的数据分析工作流程。通过 COVID-19 的案例研究,我们展示了该工作流程如何解决以往方法的局限性。COVID-19 大流行提供了一个数学模型及其政策影响广为人知的情境,我们重新审视了一个有影响力的元种群模型,该模型在大流行早期曾用于为基本流行病学认识提供信息。我们的方法支持自我批判数据分析,使我们能够识别并解决模型的弱点,从而建立了一个统计拟合度和参数可识别度都大幅提高的新模型。我们的研究结果表明,2020 年 1 月 23 日在中国启动的封锁比之前想象的更加有效。
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引用次数: 0
A modelling framework for cancer ecology and evolution. 癌症生态学和进化模型框架。
IF 3.7 2区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-07-01 Epub Date: 2024-07-17 DOI: 10.1098/rsif.2024.0099
Frederick R Adler

Cancer incidence increases rapidly with age, typically as a polynomial. The somatic mutation theory explains this increase through the waiting time for enough mutations to build up to generate cells with the full set of traits needed to grow without control. However, lines of evidence ranging from tumour reversion and dormancy to the prevalence of presumed cancer mutations in non-cancerous tissues argue that this is not the whole story, and that cancer is also an ecological process, and that mutations only lead to cancer when the systems of control within and across cells have broken down. Aging thus has two effects: the build-up of mutations and the breakdown of control. This paper presents a mathematical modelling framework to unify these theories with novel approaches to model the mutation and diversification of cell lineages and of the breakdown of the layers of control both within and between cells. These models correctly predict the polynomial increase of cancer with age, show how germline defects in control accelerate cancer initiation, and compute how the positive feedback between cell replication, ecology and layers of control leads to a doubly exponential growth of cell populations.

癌症发病率随着年龄的增长而迅速增加,通常呈多项式增长。体细胞突变理论通过等待时间来积累足够的突变,从而产生具有不受控制生长所需的全套特征的细胞来解释这种增长。然而,从肿瘤逆转和休眠到非癌症组织中假定的癌症突变的普遍性等一系列证据表明,这并不是故事的全部,癌症也是一个生态过程,只有当细胞内和细胞间的控制系统崩溃时,突变才会导致癌症。因此,衰老有两种效应:突变的积累和控制的瓦解。本文提出了一个数学建模框架,将这些理论与细胞系的突变和多样化以及细胞内和细胞间控制层的崩溃的新方法统一起来。这些模型正确预测了癌症随年龄增长而呈多项式增长的现象,展示了种系控制缺陷如何加速癌症的发生,并计算了细胞复制、生态学和控制层之间的正反馈如何导致细胞群呈双指数增长。
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引用次数: 0
Random walks with spatial and temporal resets can explain individual and colony-level searching patterns in ants. 带有空间和时间重置的随机漫步可以解释蚂蚁个体和群体的搜索模式。
IF 3.7 2区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-07-01 Epub Date: 2024-07-31 DOI: 10.1098/rsif.2024.0149
Valentin Lecheval, Elva J H Robinson, Richard P Mann

Central place foragers, such as many ants, exploit the environment around their nest. The extent of their foraging range is a function of individual movement, but how the movement patterns of large numbers of foragers result in an emergent colony foraging range remains unclear. Here, we introduce a random walk model with stochastic resetting to depict the movements of searching ants. Stochastic resetting refers to spatially resetting at random times the position of agents to a given location, here the nest of searching ants. We investigate the effect of a range of resetting mechanisms and compare the macroscopic predictions of our model to laboratory and field data. We find that all returning mechanisms very robustly ensure that scouts exploring the surroundings of a nest will be exponentially distributed with distance from the nest. We also find that a decreasing probability for searching ants to return to their nest is compatible with empirical data, resulting in scouts going further away from the nest as the number of foraging trips increases. Our findings highlight the importance of resetting random walk models for depicting the movements of central place foragers and nurture novel questions regarding the searching behaviour of ants.

中心地觅食者(如许多蚂蚁)利用其巢穴周围的环境。它们的觅食范围是个体运动的函数,但大量觅食者的运动模式如何导致出现群体觅食范围仍不清楚。在这里,我们引入一个随机重置的随机行走模型来描述搜寻蚂蚁的运动。随机重置指的是随机重置蚁群的位置,使其位于给定的位置,这里指的是搜索蚁的巢穴。我们研究了一系列重置机制的影响,并将模型的宏观预测与实验室和实地数据进行了比较。我们发现,所有返回机制都能非常稳健地确保在蚁巢周围探索的蚂蚁会随着与蚁巢距离的增加呈指数分布。我们还发现,随着觅食次数的增加,蚂蚁返回巢穴的概率会降低,这与经验数据相吻合,从而导致蚂蚁侦察员离巢穴越来越远。我们的发现凸显了重置随机行走模型对描述中心地带觅食者运动的重要性,并提出了有关蚂蚁搜索行为的新问题。
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引用次数: 0
Exploration-exploitation model of moth-inspired olfactory navigation. 飞蛾嗅觉导航的探索-开发模型
IF 3.7 2区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-07-01 Epub Date: 2024-07-17 DOI: 10.1098/rsif.2023.0746
Teddy Lazebnik, Yiftach Golov, Roi Gurka, Ally Harari, Alex Liberzon

Navigation of male moths towards females during the mating search offers a unique perspective on the exploration-exploitation (EE) model in decision-making. This study uses the EE model to explain male moth pheromone-driven flight paths. Wind tunnel measurements and three-dimensional tracking using infrared cameras have been leveraged to gain insights into male moth behaviour. During the experiments in the wind tunnel, disturbance to the airflow has been added and the effect of increased fluctuations on moth flights has been analysed, in the context of the proposed EE model. The exploration and exploitation phases are separated using a genetic algorithm to the experimentally obtained dataset of moth three-dimensional trajectories. First, the exploration-to-exploitation rate (EER) increases with distance from the source of the female pheromone is demonstrated, which can be explained in the context of the EE model. Furthermore, our findings reveal a compelling relationship between EER and increased flow fluctuations near the pheromone source. Using an olfactory navigation simulation and our moth-inspired navigation model, the phenomenon where male moths exhibit an enhanced EER as turbulence levels increase is explained. This research extends our understanding of optimal navigation strategies based on general biological EE models and supports the development of bioinspired navigation algorithms.

雄蛾在寻找交配对象的过程中向雌蛾飞行,为决策中的探索-开发(EE)模型提供了一个独特的视角。本研究利用 EE 模型来解释雄蛾在信息素驱动下的飞行路径。研究利用风洞测量和红外摄像机的三维跟踪来了解雄蛾的行为。在风洞实验过程中,气流受到了干扰,并根据提出的 EE 模型分析了气流波动增加对飞蛾飞行的影响。利用遗传算法对实验获得的飞蛾三维轨迹数据集进行分析,将探索和开发阶段分开。首先,探索到利用率(EER)随着与雌性信息素来源的距离增加而增加,这可以用 EE 模型来解释。此外,我们的研究结果还揭示了 EER 与信息素源附近流量波动增加之间的密切关系。利用嗅觉导航模拟和飞蛾启发导航模型,我们解释了雄性飞蛾在湍流水平增加时表现出更强的 EER 的现象。这项研究扩展了我们对基于一般生物 EE 模型的最佳导航策略的理解,并支持生物启发导航算法的开发。
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引用次数: 0
Electrostatic pollination by butterflies and moths. 蝴蝶和飞蛾的静电授粉。
IF 3.7 2区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-07-01 Epub Date: 2024-07-24 DOI: 10.1098/rsif.2024.0156
Sam J England, Daniel Robert

Animals, most notably insects, generally seem to accumulate electrostatic charge in nature. These electrostatic charges will exert forces on other charges in these animals' environments and therefore have the potential to attract or repel other objects, for example, pollen from flowers. Here, we show that butterflies and moths (Lepidoptera) accumulate electrostatic charge while in flight. Then, using finite element analysis, we demonstrate that when within millimetres of a flower, the electrostatic charge of a lepidopteran generates an electric field in excess of 5 kV m-1, and that an electric field of this magnitude is sufficient to elicit contactless pollen transfer from flowers across air gaps onto the body of a butterfly or moth. Furthermore, we see that phylogenetic variations exist in the magnitude and polarity of net charge between different species and families and Lepidoptera. These phylogenetic variations in electrostatic charging correlate with morphological, biogeographical and ecological differences between different clades. Such correlations with biogeographical and ecological differences may reflect evolutionary adaptations towards maximizing or minimizing charge accumulation, in relation to pollination, predation and parasitism, and thus we introduce the idea that electrostatic charging may be a trait upon which evolution can act.

动物,尤其是昆虫,通常会在自然界中积累静电荷。这些静电荷会对动物所处环境中的其他电荷产生作用力,因此有可能吸引或排斥其他物体,例如花朵中的花粉。在这里,我们展示了蝴蝶和飞蛾(鳞翅目)在飞行时积累的静电荷。然后,我们利用有限元分析证明,当鳞翅目昆虫在距花朵几毫米的范围内飞行时,其静电荷会产生一个超过 5 kV m-1 的电场,这种大小的电场足以使花粉从花朵中穿过空气间隙,非接触地转移到蝴蝶或飞蛾的身体上。此外,我们还发现,不同种、科和鳞翅目昆虫之间在净电荷的大小和极性方面存在系统发育上的差异。这些静电的系统发育差异与不同支系之间的形态、生物地理和生态差异相关。这种与生物地理学和生态学差异的相关性可能反映了与授粉、捕食和寄生有关的最大化或最小化电荷积累的进化适应性,因此我们提出了静电荷可能是进化可以作用的一种性状的观点。
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引用次数: 0
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