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Dynamics and bifurcations of a discrete-time prey-predator model with Allee effect on the prey population 具有Allee效应的离散食饵-捕食模型的动力学和分岔
IF 3.5 3区 环境科学与生态学 Q1 Agricultural and Biological Sciences Pub Date : 2021-12-01 DOI: 10.1016/j.ecocom.2021.100962
Z. Eskandari , J. Alidousti , Z. Avazzadeh , J.A. Tenreiro Machado

This paper studies the dynamic behavior of a discrete-time prey-predator model. It is shown that this model undergoes codimension one and codimension two bifurcations such as transcritical, flip (period-doubling), Neimark-Sacker and strong resonances 1:2, 1:3 and 1:4. The bifurcation analysis is based on the numerical normal form method and the bifurcation scenario around the bifurcation point is determined by their critical normal form coefficients. The advantage of this method is that there is no need to calculate the center manifold and to convert the linear part of the map to a Jordan form. The bifurcation curves of fixed points under variation of one and two parameters are obtained, and the codimensions one and the two bifurcations on the corresponding curves are computed.

研究了离散时间捕食-食饵模型的动态行为。结果表明,该模型经历了余维一分岔和余维二分岔,如跨临界分岔、翻转(周期加倍)分岔、neimmark - sacker分岔和强共振1:2、1:3和1:4分岔。分岔分析基于数值范式方法,分岔点周围的分岔场景由其临界范式系数决定。这种方法的优点是不需要计算中心流形,也不需要将映射的线性部分转换为约旦形式。得到了不动点在一个和两个参数变化下的分岔曲线,并计算了相应曲线上的余维数1和两个分岔。
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引用次数: 11
Complex dynamics of a stochastic uni-directional consumer-resource mutualism system 随机单向消费-资源共生系统的复杂动力学
IF 3.5 3区 环境科学与生态学 Q1 Agricultural and Biological Sciences Pub Date : 2021-12-01 DOI: 10.1016/j.ecocom.2021.100965
Rong Liu , Guirong Liu

Like predation and competition, mutualism is recognized as a consumer-resource interaction, which includes bi-directional and uni-directional mutualisms. In this paper, we firstly propose a stochastic uni-directional consumer-resource system of two species in which the consumer has both positive and negative effects on the resource, while the resource has only a positive effect on the consumer. We then mathematically analyze the system, to demonstrate the existence, uniqueness, asymptotic pathwise behavior and stochastically ultimately boundedness of the global positive solution, and to establish sufficient conditions for the global attractivity and the existence of ergodic stationary distribution of the system. We also establish sufficient conditions for the extinction and persistence in mean of the resource, the consumer or the entire system. Numerical simulations are carried out to demonstrate the analytical results.

与掠夺和竞争一样,互惠互利被认为是一种消费者-资源的互动,包括双向互惠和单向互惠。本文首先提出了一种具有两物种的随机单向消费者-资源系统,其中消费者对资源既有积极作用,也有消极作用,而资源对消费者只有积极作用。然后对系统进行数学分析,证明了系统全局正解的存在唯一性、渐近路径行为和随机最终有界性,并建立了系统全局吸引性和遍历平稳分布存在性的充分条件。我们还从资源、消费者或整个系统的角度建立了灭绝和持续的充分条件。数值模拟验证了分析结果。
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引用次数: 0
The impact of feral domestic cats on native bird populations. Predictive modelling approach on a country scale 野猫对本地鸟类种群的影响。国家范围内的预测建模方法
IF 3.5 3区 环境科学与生态学 Q1 Agricultural and Biological Sciences Pub Date : 2021-12-01 DOI: 10.1016/j.ecocom.2021.100964
Jakub Z. Kosicki

Ecological interactions between native species are often disturbed by invasive species. However, to understand their impact on wild native animal populations on a country scale it is necessary to develop a predictive model. Therefore, I followed the species density distribution modelling approach to explore how feral domestic cats (Felis catus) along with environmental predictors determined densities of two bird species, the Yellowhammer (Emberiza citrinella) and the Yellow Wagtail (Motacilla flava) on the whole area of Poland. As a modelling method, I used the Generalised Additive Model to develop two models for each of the two bird species: The first with the feral cat density as an additional predictor, and the second without it. As a result, I demonstrated the negative impact of cat density on native bird populations, illustrated by reduced density of the two studied species in their preferred habitats, in which cats reached a high density. Although it cannot be explicitly asserted that cats lead to a local extinction of the two bird species, these predators should not be underestimated. In many locations feral populations are fed with new individuals, and they do not follow the same internal mechanisms regulating their population as the native bird fauna. Thus, on a large spatial scale species density distribution models of birds should include cats’ population size as an additional predictor when this predator's environmental preferences overlap with preferences of the studied target groups.

原生物种之间的生态相互作用常常受到外来入侵物种的干扰。然而,要了解它们对国家范围内野生本地动物种群的影响,有必要建立一个预测模型。因此,我遵循物种密度分布建模方法,探索野生家猫(Felis catus)如何与环境预测因子一起决定两种鸟类的密度,黄鹀(Emberiza citrinella)和黄鹡起(Motacilla flava)在整个波兰地区。作为建模方法,我使用广义加性模型为两种鸟类分别开发了两个模型:第一个将野猫密度作为额外的预测因子,第二个没有。结果,我证明了猫的密度对本地鸟类种群的负面影响,这可以从两种被研究物种在其首选栖息地的密度下降来说明,在这些栖息地,猫的密度达到了很高。虽然不能明确断言猫导致了这两种鸟类的局部灭绝,但这些食肉动物不应被低估。在许多地方,野生种群被新个体喂养,它们不遵循与本地鸟类种群相同的调节种群的内部机制。因此,在大的空间尺度上,当捕食者的环境偏好与研究目标群体的偏好重叠时,鸟类物种密度分布模型应该包括猫的种群大小作为额外的预测因子。
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引用次数: 3
Empirical assessment of the relation between ecological connectivity and land complexity based on information-theoretic metrics 基于信息测度的生态连通性与土地复杂性关系实证评价
IF 3.5 3区 环境科学与生态学 Q1 Agricultural and Biological Sciences Pub Date : 2021-12-01 DOI: 10.1016/j.ecocom.2021.100969
Derya Gülçin

Habitat fragmentation and connectivity loss pose significant threats to biodiversity at both local and landscape levels. Strategies to increase ecological connectivity and preserve strong connectivity are important for dealing with the potential threat of habitat degradation. Various metrics have been used to measure (i.e., quantify) landscape composition and configuration in landscape ecology. However, their relationship with ecological connectivity must be understood to interpret landscape patterns comprehensively. In the present study, correlations between ecological connectivity and land complexity are examined based on information-theory metrics. Two primary questions are explored: (1) to what extent are landscape mosaic measures of entropy correlated with ecological connectivity, with landscape gradient-based measures, and with each other? (2) are landscape gradient-based entropy measures correlated with ecological connectivity more than discrete entropy measures? Results show that all information theoretic metrics are statistically significant (p < 0.05) for modelling ecological connectivity. Among categorically-based indices, the relationship between ECI and joint entropy was the most significant, while a generalized additive model indicated that Boltzmann entropy could predict the ecological connectivity index, explaining ∼60% of the variance. Therefore, configurational entropy can be used for improving ecological connectivity models.

栖息地破碎化和连通性丧失对地方和景观层面的生物多样性构成重大威胁。加强生态连通性和保持强连通性的战略对于应对栖息地退化的潜在威胁至关重要。在景观生态学中,各种各样的指标被用来衡量(即量化)景观的组成和配置。然而,要全面地解释景观格局,必须了解它们与生态连通性的关系。在本研究中,生态连通性和土地复杂性之间的相关性是基于信息理论的度量。本文探讨了两个主要问题:(1)景观熵的马赛克度量与生态连通性、基于景观梯度的度量以及彼此之间的相关性在多大程度上?(2)基于景观梯度的熵测度是否比离散熵测度与生态连通性更相关?结果表明,所有信息论指标均具有统计学显著性(p <0.05)模拟生态连通性。在基于分类的指数中,ECI与联合熵之间的关系最为显著,而广义加性模型表明,Boltzmann熵可以预测生态连通性指数,解释了60%的方差。因此,构型熵可以用于改进生态连通性模型。
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引用次数: 3
For whom is it more beneficial to stop interactions with defectors: Cooperators or defectors? 停止与叛逃者的交往对谁更有利:合作者还是叛逃者?
IF 3.5 3区 环境科学与生态学 Q1 Agricultural and Biological Sciences Pub Date : 2021-12-01 DOI: 10.1016/j.ecocom.2021.100968
Shun Kurokawa

Cooperation is a mysterious evolutionary phenomenon and its mechanisms require elucidation. When cooperators can stop interactions with defectors, the evolution of cooperation becomes possible; this is one mechanism that facilitates the evolution of cooperation. Here, stopping interactions with defectors is beneficial not only for cooperators but also for defectors. The question then arises, for whom is stopping interactions with defectors more beneficial: cooperators or defectors? By utilizing evolutionary game theory, I addressed this question using a two-player game involving four strategies: (1) cooperators who stop the interaction if the current partner is a defector, (2) cooperators who attempt to maintain a relationship with anyone, (3) defectors who stop the interaction if the current partner is a defector, and (4) defectors who attempt to maintain a relationship with anyone. Our results show that, at equilibrium, the ratio of cooperators who stop the interaction if the current partner is a defector to cooperators who attempt to maintain a relationship with anyone is larger than the ratio of defectors who stop the interaction if the current partner is a defector to defectors who attempt to maintain a relationship with anyone. Thus, cooperators rather than defectors are more likely to stop interactions with defectors at equilibrium. This result is consistent with a previous experimental study in which a positive correlation was detected between the degree of individuals’ cooperativeness and how accurately the individuals recognize whether other individuals are cooperators or defectors. Thus, the theoretical work presented in this study provides relevant insights into the natural phenomena of cooperation and recognition.

合作是一种神秘的进化现象,其机制有待阐明。当合作者可以停止与叛逃者的互动时,合作的进化成为可能;这是促进合作进化的一种机制。在这里,停止与脱北者的互动不仅对合作者有利,对脱北者也有利。那么问题来了,停止与叛逃者的互动对谁更有利:合作者还是叛逃者?利用进化博弈论,我用一个涉及四种策略的双人博弈来解决这个问题:(1)如果当前合作伙伴是一个叛逃者,合作者会停止互动;(2)合作者试图与任何人保持关系;(3)叛逃者如果当前合作伙伴是一个叛逃者,叛逃者会停止互动;(4)叛逃者试图与任何人保持关系。我们的结果表明,在均衡状态下,如果当前合作伙伴是一个叛逃者,那么合作者停止互动的比例与试图与任何人保持关系的合作者的比例大于如果当前合作伙伴是一个叛逃者,那么叛逃者停止互动的比例与试图与任何人保持关系的叛逃者的比例。因此,合作者比叛逃者更有可能在平衡状态下停止与叛逃者的互动。这一结果与之前的一项实验研究一致,该研究发现,个体的合作程度与个体识别其他个体是合作者还是叛逃者的准确性之间存在正相关关系。因此,本研究的理论工作为合作与认同的自然现象提供了相关的见解。
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引用次数: 2
A security game approach for strategic conservation against poaching considering food web complexities 考虑到食物网的复杂性,一种针对偷猎的战略保护的安全博弈方法
IF 3.5 3区 环境科学与生态学 Q1 Agricultural and Biological Sciences Pub Date : 2021-12-01 DOI: 10.1016/j.ecocom.2021.100970
Zohreh S. Gatmiry , Ashkan Hafezalkotob , Morteza Khakzar bafruei , Roya Soltani

Mitigating the poaching pressure on food webs under multiple constraints (including financial and ecological ones) remains an open problem within conservation. Within this field, mathematically modeling the effects of poaching threats on managerial decision-making is a novel approach. To fill this scientific gap, the present paper uses a security game approach to model the interactions between an environmental manager (defender) and a group of profit-seeking pursuit poachers (attackers) who target species which are nodes of the food web. Based upon the non-cooperative Stackelberg game, the objective of the defender (as leader) is to keep the food web at or near equilibrium through optimally manipulating the populations of an optimal subset of species. In contrast, each attacker strives to maximize monetary profit by hunting an optimal population size of the selected species. The model is validated by a numerical example examining the food web of the endangered Persian leopard (Panthera pardus saxicolor), which lives in Golestan National Park (GNP), Iran. The model provides an overarching biotic intervention strategy to keep the (1 predator-4 prey) food web near equilibrium, while only 2 prey species (the urial (Ovis vignei) and the red deer (Cervus elaphus)) are directly threatened by poachers. The examination revealed that both species population data and poaching data should be taken into account to set effective multi-species conservation prioritization levels. In a sensitivity analysis approach, it was found that, despite the fact that red deer is endangered and preferred by poachers, the deterrent penalty measure should be 1.5 times greater for poaching urial than red deer. The output analysis illustrated that, in order to bring the urial deterrent penalty measure closer to the red deer one, enforcement measures should be about 2.5 times stricter for poaching urial than red deer. The results specifically yield insight into how to optimally conserve a food web equilibrium under poaching pressure and within several constraints.

在多重限制(包括财政和生态限制)下,减轻偷猎对食物网的压力仍然是保护工作中的一个悬而未决的问题。在这一领域,用数学方法模拟偷猎威胁对管理决策的影响是一种新颖的方法。为了填补这一科学空白,本文使用安全博弈方法来模拟环境管理者(保护者)和一群追求利润的偷猎者(攻击者)之间的相互作用,偷猎者以食物网的节点物种为目标。基于非合作的Stackelberg博弈,防御者(作为领导者)的目标是通过最优操纵物种的最优子集的数量来保持食物网处于或接近平衡。相比之下,每个攻击者都努力通过狩猎选定物种的最佳种群规模来最大化货币利润。该模型通过对生活在伊朗Golestan国家公园(GNP)的濒危波斯豹(Panthera pardus saxicolor)食物网的数值分析得到了验证。该模型提供了一个总体的生物干预策略,以保持(1捕食者-4猎物)食物网接近平衡,而只有2种猎物物种(乌拉尔(Ovis vignei)和马鹿(Cervus elaphus))受到偷猎者的直接威胁。研究表明,在确定有效的多物种保护优先级时,应同时考虑物种种群数据和偷猎数据。通过敏感性分析方法发现,尽管马鹿是濒危物种,也是偷猎者的首选,但对偷猎马鹿的威慑惩罚措施应该是马鹿的1.5倍。输出分析表明,为了使尿液威慑处罚措施更接近马鹿,偷猎尿液的执法措施应该比马鹿严格2.5倍左右。结果特别产生洞察如何最佳地保护偷猎压力下的食物网平衡和在几个限制。
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引用次数: 2
Tick bite risk resulting from spatially heterogeneous hazard, exposure and coping capacity 空间异质性危害、暴露和应对能力导致的蜱叮咬风险
IF 3.5 3区 环境科学与生态学 Q1 Agricultural and Biological Sciences Pub Date : 2021-12-01 DOI: 10.1016/j.ecocom.2021.100967
S.O. Vanwambeke , P.H.T. Schimit

Tick-borne diseases have long been mainly associated with forests, the primary habitat for Ixodes ricinus, where they are mostly found. However, increasing evidence shows that humans also often get bitten in gardens, parks and other habitats generally associated with lower vegetation and tick density. Therefore, to understand the risk of infection from a tick bite and thus of potential subsequent infection, it is necessary to separate the factors of risk: hazard and vulnerability, here detailed as exposure and coping capacity, and to examine their spatial heterogeneity. This paper proposes a spatially explicit model for human movement through the entire landscape and forest visits to investigate the three components of risk. The population and its movements are set spatially in three study case landscapes extracted from Wallonia, south Belgium. Parameters that are challenging to estimate, such as the probability of a person getting bitten in various environments and the probability of inspecting one’s body to remove ticks, are analyzed in a wide range of combinations. Results show that, while bites are densest in the forest, they happen across the landscape at levels comparable when summed. When coping capacity is modified, as it could be through raising awareness and improving uptake of protective measures, the most at-risk group can change, and the riskier landscape can become the periurban or the rural landscape. This model offers a platform to investigate the respective contributions of hazard, exposure, and people’s capacity to cope with the hazard. It would benefit from empirical input parameters measured more specifically for its purpose.

长期以来,蜱传疾病主要与森林有关,森林是蓖麻蜱的主要栖息地,它们大多在那里被发现。然而,越来越多的证据表明,人类也经常在花园、公园和其他通常与低植被和蜱虫密度相关的栖息地被咬伤。因此,为了了解蜱叮咬的感染风险以及潜在的后续感染风险,有必要分离风险因素:危害和脆弱性,这里详细描述为暴露和应对能力,并研究它们的空间异质性。本文提出了一个人类在整个景观和森林中活动的空间明确模型,以调查风险的三个组成部分。人口及其流动在比利时南部瓦隆尼亚提取的三个研究案例景观中进行空间设置。一些难以估计的参数,比如一个人在各种环境中被咬的概率,以及检查身体以清除蜱虫的概率,都是在广泛的组合中进行分析的。结果表明,虽然咬伤在森林中最密集,但它们在整个景观中发生的水平与总和相当。当应对能力得到改善时,比如可以通过提高认识和采取更好的保护措施,风险最高的群体就会发生变化,风险较高的景观就会变成城郊或农村景观。该模型提供了一个平台来调查危害、暴露和人们应对危害的能力各自的贡献。它将受益于更具体地为此目的而测量的经验输入参数。
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引用次数: 5
The fox who cried wolf: A keywords and literature trend analysis on the phenomenon of mesopredator release 喊狼来了的狐狸:中掠食者释放现象的关键词及文献趋势分析
IF 3.5 3区 环境科学与生态学 Q1 Agricultural and Biological Sciences Pub Date : 2021-12-01 DOI: 10.1016/j.ecocom.2021.100963
Laura Saggiomo , Valentina Bar , Bruno Esattore

Human activities severely impact the distribution and behaviour of apex predators in numerous terrestrial and aquatic ecosystems, with cascading effects on several species. Mesopredator outbreaks attributable to the removal of an apex predator have often been recorded and described in the literature as “mesopredator release”. During recent decades several examples of the phenomenon have been observed and studied in many different parts of the world. In this paper, we quantitatively reviewed the existing literature on mesopredator release using two software packages (VOSviewer and CiteSpace) to investigate patterns and trends in author keywords through occurrences and temporal analyses, and creating relative network maps. The results showed that even though the general scientific interest in mesopredator release has increased in recent decades, the vast majority of studies focus on canid species, leaving many other species or entire taxa (e.g., reptiles) understudied and under-described. The connection between invasive species and mesopredator release has only recently been more extensively explored and also the effects of apex predators declining in aquatic ecosystems are still only partially investigated. Due to the increasing effect of biological invasions, overfishing, and either the decline or the rise of apex predators in different parts of the world, we expect an even higher increase in interest and number of published documents on the subject. We also encourage widening the research focus beyond canids to include other important taxa.

人类活动严重影响了许多陆地和水生生态系统中顶端捕食者的分布和行为,并对一些物种产生了级联效应。由于顶端捕食者的移除而导致的中掠食者爆发经常被记录并在文献中描述为“中掠食者释放”。近几十年来,在世界上许多不同的地方观察和研究了这种现象的几个例子。本文利用VOSviewer和CiteSpace两种软件,通过对作者关键词的频次分析和时间分析,对现有文献进行了定量梳理,并绘制了相关网络图。结果表明,尽管近几十年来对中掠食性动物释放的普遍科学兴趣有所增加,但绝大多数研究都集中在犬科动物身上,而对许多其他物种或整个分类群(如爬行动物)的研究和描述不足。入侵物种与中捕食者释放之间的关系直到最近才得到更广泛的探索,而且对水生生态系统中顶端捕食者减少的影响也只进行了部分研究。由于生物入侵、过度捕捞以及世界各地顶级食肉动物的减少或增加的影响越来越大,我们预计对这一主题的兴趣和发表的文件数量会有更高的增长。我们也鼓励将研究重点从犬科扩展到其他重要的分类群。
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引用次数: 1
Explicit solution of fractional order atmosphere-soil-land plant carbon cycle system 分数阶大气-土壤-土地植物碳循环系统的显式解
IF 3.5 3区 环境科学与生态学 Q1 Agricultural and Biological Sciences Pub Date : 2021-12-01 DOI: 10.1016/j.ecocom.2021.100966
Tanfer Tanriverdi , Haci Mehmet Baskonus , Adnan Ahmad Mahmud , Kalsum Abdulrahman Muhamad

In this paper, the dynamical behaviours and mathematics of the fractional order atmosphere-soil-land plant carbon cycle system involving the time dependent variable of carbon flux in atmosphere, the carbon flux of soil, and the carbon flux of animals and plants are qualitatively and numerically investigated. Explicit solutions in terms of the Mittag-Leffler functions to the terrestrial carbon cycle system around the equilibrium point are first time reported by applying Laplace transform of Caputo fractional derivative. The graphs of obtained solutions the time dependent variable of carbon flux in atmosphere, the carbon flux of soil and the carbon flux of animals and plants are plotted against each other. Explicit solutions to original system and stability of the fractional order linearized system around the equilibrium point are graphically compared as well.

本文以大气碳通量、土壤碳通量和动植物碳通量为时变变量,对分数阶大气-土壤-土地-植物碳循环系统的动力学行为和数学进行了定性和数值研究。利用Caputo分数阶导数的拉普拉斯变换,首次报道了平衡点附近陆地碳循环系统的Mittag-Leffler函数的显式解。得到了大气碳通量、土壤碳通量和动植物碳通量随时间变化的解的相互关系图。并对原系统的显式解和分数阶线性化系统在平衡点附近的稳定性进行了图解比较。
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引用次数: 18
Study on the long-term and short-term effects of globalization and population aging on ecological footprint in OECD countries 经济合作与发展组织国家经济全球化和人口老龄化对生态足迹的长期和短期影响研究
IF 3.5 3区 环境科学与生态学 Q1 Agricultural and Biological Sciences Pub Date : 2021-09-01 DOI: 10.1016/j.ecocom.2021.100946
Xiyue Yang , Nan Li , Hailin Mu , Ming Zhang , Jingru Pang , Mahmood Ahmad

Population aging has become a global phenomenon. Whereas, the ecological consequences of population aging are rarely addressed in current research. In this context, this study contributes to the existing literature by providing new empirical evidence on how population aging along with globalization, economic growth, energy consumption, natural resource rent, and human capital affect ecological footprint for selected 27 Organization for Economic Cooperation and Development (OECD) countries during 1970–2017. This study utilizes an advanced econometric approach, Pooled Mean Group (PMG) estimator for empirical estimation, that allows heterogeneity in the slope parameters and dependencies across countries. The long-term results disclose that globalization (overall) decreases the ecological footprint. On the other hand, financial and political globalization poses a favorable impact on environmental quality, while economic and social globalization is found to increase environmental degradation. Population aging has a statistically significant negative effect on the ecological footprint, but its non-linear term increases the ecological footprint. Additionally, economic growth, energy consumption, and natural resource rent exacerbate environmental deterioration. In contrast, human capital decreases ecological footprint. Based on the empirical results, important policy implications have been provided.

人口老龄化已经成为一个全球性的现象。然而,目前的研究很少涉及人口老龄化的生态后果。在此背景下,本研究通过对1970-2017年27个经济合作与发展组织(OECD)成员国人口老龄化与全球化、经济增长、能源消耗、自然资源租金和人力资本对生态足迹的影响提供新的实证证据,对现有文献做出了贡献。本研究采用了一种先进的计量经济学方法,即混合平均组(PMG)估计器进行经验估计,允许各国斜率参数和依赖关系的异质性。长期结果表明,全球化(总体上)减少了生态足迹。另一方面,金融和政治全球化对环境质量产生了有利影响,而经济和社会全球化则加剧了环境恶化。人口老龄化对生态足迹具有显著的负向影响,但其非线性项增加了生态足迹。此外,经济增长、能源消耗和自然资源租金加剧了环境恶化。相反,人力资本减少了生态足迹。在实证结果的基础上,提出了重要的政策启示。
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引用次数: 38
期刊
Ecological Complexity
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