Ecosystem management that attempts to maximize the production of one ecosystem service often results in substantial declines in the provision of other ecosystem services. For this reason, recent studies have called for increased attention to development of a theoretical understanding behind the relationships among ecosystem services. Here, we review the literature on ecosystem services and propose a typology of relationships between ecosystem services based on the role of drivers and the interactions between services. We use this typology to develop three propositions to help drive ecological science towards a better understanding of the relationships among multiple ecosystem services. Research which aims to understand the relationships among multiple ecosystem services and the mechanisms behind these relationships will improve our ability to sustainably manage landscapes to provide multiple ecosystem services.

A key challenge of ecosystem management is determining how to manage multiple ecosystem services across landscapes. Enhancing important provisioning ecosystem services, such as food and timber, often leads to tradeoffs between regulating and cultural ecosystem services, such as nutrient cycling, flood protection, and tourism. We developed a framework for analyzing the provision of multiple ecosystem services across landscapes and present an empirical demonstration of ecosystem service bundles, sets of services that appear together repeatedly. Ecosystem service bundles were identified by analyzing the spatial patterns of 12 ecosystem services in a mixed-use landscape consisting of 137 municipalities in Quebec, Canada. We identified six types of ecosystem service bundles and were able to link these bundles to areas on the landscape characterized by distinct social-ecological dynamics. Our results show landscape-scale tradeoffs between provisioning and almost all regulating and cultural ecosystem services, and they show that a greater diversity of ecosystem services is positively correlated with the provision of regulating ecosystem services. Ecosystem service-bundle analysis can identify areas on a landscape where ecosystem management has produced exceptionally desirable or undesirable sets of ecosystem services.

Runoff generation is an important part of water conservation service, and also plays a critical role in soil and water retention. Under the background of the ecosystem degradation, which was caused by the vulnerable karst ecosystem combined with human activity, it is necessary to understand the spatial pattern and impact factors of runoff services in the karst region. The typical karst peak-cluster depression was selected as the study area. And the calibrated and verified Soil and Water Assessment Tool (SWAT) was one of the main techniques to simulate the runoff services of typical karst basin. Further, the spatial variability of different services were analyzed with the assistance of the methods of gradient analysis and local regression. Results indicated that the law of spatial difference was obvious. And the surface runoff was at a low level, but the groundwater runoff was rich (about 2-3 times the surface runoff). The runoff coefficients of total and groundwater were 70.0% and 23.9%, respectively. Terrain is a significant factor contributing to macroscopic control effect on the runoff service in the Sanchahe River Basin, where the total and groundwater runoff increased significantly with the rising elevation and slope. Then, the distribution of vegetation has great effects on surface runoff. There were spatial differences between the forest land in the upstream and orchard land in the downstream, in turn the surface runoff presented a turning point due to the influence of vegetation. Moreover, the results of spatial overlay analysis showed that the highest value of total and groundwater runoff was observed in the forest land. It is not only owing to the stronger capacity of soil water conservation of forest ecosystem, and geologic feature of rapid infiltration in this region, but also reflected the combined effects on the land cover types and topographical features, that is, forest land was mostly distributed in the area with relatively great elevation and slope. Overall, this study will promote the development and innovation of ecosystem services fields in the karst region, and further provide a theoretical foundation for ecosystem restoration and reconstruction.

产流是生态系统水源涵养服务的重要内容,也是保水固土等服务的关键驱动。脆弱的喀斯特生态系统叠加人类活动的影响引起生态退化,在此背景下亟需深刻理解喀斯特地区产流服务空间格局及其影响因子。选择典型的喀斯特峰丛洼地流域,基于率定校准的SWAT水文模型,对喀斯特流域产流服务（包括地表、地下以及总径流量）进行模拟,并结合空间梯度分析和局部回归模型,剖析不同服务变量的空间变异特征。结果表明：研究区产流量空间分异规律明显,总径流系数约为70.0%;地表径流整体处于较低水平,地下径流量丰富（约为地表径流量的2~3倍）。地形因子对喀斯特流域产流服务具有宏观控制作用,随海拔和坡度升高,总径流量、地下径流量显著增加;植被分布特征对地表径流有重要影响,在上游林地和下游园地分布区存在空间差异,在植被因素的影响下随坡度的增加呈现转折性的变化趋势。此外,空间叠加分析表明林地总径流及地下径流最大：一方面是由于森林生态系统更强的土壤水分涵养能力以及水分快速入渗的地质背景特征;另一方面反映了地表覆盖与地形特征的复合效应,即林地大多分布在相对海拔和坡度较大之处。本文有助于推进喀斯特生态系统服务研究领域的发展与创新,并为生态恢复建设提供科技支撑。

Understanding spatial distributions, synergies, and tradeoffs of multiple ecosystem services (benefits people derive from ecosystems) remains challenging. We analyzed the supply of 10 ecosystem services for 2006 across a large urbanizing agricultural watershed in the Upper Midwest of the United States, and asked the following: (i) Where are areas of high and low supply of individual ecosystem services, and are these areas spatially concordant across services? (ii) Where on the landscape are the strongest tradeoffs and synergies among ecosystem services located? (iii) For ecosystem service pairs that experience tradeoffs, what distinguishes locations that are "win-win" exceptions from other locations? Spatial patterns of high supply for multiple ecosystem services often were not coincident; locations where six or more services were produced at high levels (upper 20th percentile) occupied only 3.3% of the landscape. Most relationships among ecosystem services were synergies, but tradeoffs occurred between crop production and water quality. Ecosystem services related to water quality and quantity separated into three different groups, indicating that management to sustain freshwater services along with other ecosystem services will not be simple. Despite overall tradeoffs between crop production and water quality, some locations were positive for both, suggesting that tradeoffs are not inevitable everywhere and might be ameliorated in some locations. Overall, we found that different areas of the landscape supplied different suites of ecosystem services, and their lack of spatial concordance suggests the importance of managing over large areas to sustain multiple ecosystem services.

Spatial stratified heterogeneity is the spatial expression of natural and socio-economic process, which is an important approach for human to recognize nature since Aristotle. Geodetector is a new statistical method to detect spatial stratified heterogeneity and reveal the driving factors behind it. This method with no linear hypothesis has elegant form and definite physical meaning. Here is the basic idea behind Geodetector: assuming that the study area is divided into several subareas. The study area is characterized by spatial stratified heterogeneity if the sum of the variance of subareas is less than the regional total variance; and if the spatial distribution of the two variables tends to be consistent, there is statistical correlation between them. Q-statistic in Geodetector has already been applied in many fields of natural and social sciences which can be used to measure spatial stratified heterogeneity, detect explanatory factors and analyze the interactive relationship between variables. In this paper, the authors will illustrate the principle of Geodetector and summarize the characteristics and applications in order to facilitate the using of Geodetector and help readers to recognize, mine and utilize spatial stratified heterogeneity.

空间分异是自然和社会经济过程的空间表现,也是自亚里士多德以来人类认识自然的重要途径。地理探测器是探测空间分异性,以及揭示其背后驱动因子的一种新的统计学方法,此方法无线性假设,具有优雅的形式和明确的物理含义。基本思想是：假设研究区分为若干子区域,如果子区域的方差之和小于区域总方差,则存在空间分异性;如果两变量的空间分布趋于一致,则两者存在统计关联性。地理探测器q统计量,可用以度量空间分异性、探测解释因子、分析变量之间交互关系,已经在自然和社会科学多领域应用。本文阐述地理探测器的原理,并对其特点及应用进行了归纳总结,以利于读者方便灵活地使用地理探测器来认识、挖掘和利用空间分异性。

Hu Line uncovers one of China's most important characteristics of population paper distribution: East is dense, while west is sparse. Different from most previous research, this paper examined the differentiation and changes of population distribution on both sides of Hu Line from a perspective of spatial stratified heterogeneity instead. Geodetector was employed based on the spatial database of China's census data of 1953, 1982, 1990, 2000 and 2010 to reconfirm spatial position of Hu Line and analyzed changes of spatial stratified heterogeneity of population between southeast and northwest sides of Hu Line in different periods. Changes of population distribution since the founding of New China were found and the reasons for these changes were discussed. Major findings include: (1) From the spatial stratified heterogeneity perspective, Hu Line could be improved and optimized, at least, in some periods. Although the ratio of total population on both sides of Hu Line has roughly been kept at 94:6 since 1953, spatial stratified heterogeneity of population between the two sides (the southeastern side: the northwestern side) increased when Hu Line moves to south slightly in 1953, 2000 and 2010, which means population distribution was more homogeneous within either southeastern or northwestern region and heterogeneity was more remarkable between the two regions. (2) Heterogeneity decreased gradually since the reform and opening up. We found characteristics of population distribution converged on the two sides, especially since the 1990s when convergence between the two sides became apparent. This finding is significantly different from the conclusion of "remain unchanged" from most literatures. The reasons why heterogeneity reduced were: pattern of population distribution on the southeastern side changed from relatively even distribution among cities before 1990 to agglomeration in a few huge cities after 2000, while the degree of spatial agglomeration of population decreased slightly after the reform on the northwestern side. These changes have been confirmed by the analysis from cumulative distribution function and Gini coefficient. (3) On the whole, the effect of economic factors on population distribution has become more and more important, while the effect of natural environment and institution reduced. Combined effect from economic development, natural environment and institution resulted in two opposite directions of changes of population spatial distribution on the two sides. It should be emphasized that although general effect of natural environment has decreased, some natural factors, such as Three Gradient Terrains, still have significantly influence on population distribution in China.

胡焕庸线作为人地关系的重要地理大发现之一,揭示了中国人口分布东密西疏的重要特征,是人文与经济地理学对社会的重要贡献之一。本文采用地理探测器等定量方法,以人口普查数据为基础,对胡焕庸线两侧人口分布的分异性特征进行了深入讨论,并尝试解释中国人口分布特征变化的原因及其机制。结果表明：① 胡焕庸线作为中国最重要的人口分界线仍基本保持稳定,但从空间统计学分异特征来看该分界线仍可进一步优化调整;② 胡焕庸线两侧内部人口集聚模式发生着明显变化,东南半壁人口分布由改革开放之前和初期的相对均衡状态,转变为以长三角、珠三角等少数区域为中心的集聚模式;而西北半壁人口分布的集聚程度则趋于下降;③ 从人口空间分布的影响因素看,尽管总体上,经济发展类因素对于人口空间分布影响不断增强,但三大阶梯等自然地理本底条件依然对中国人口分布有着重要影响。

China is one of the first countries to explicitly attempt to institute coordinated, ecosystem-based management across local, regional, and national scales. Chinese scientists have been urging policymakers to manage landscapes using the ecosystem services (ESs) approach. However, substantive progress remains elusive due to lack of coordination, weak monitoring, and poor enforcement. China's new ecological redline policy (ERP) requires policymakers and scientists to address urgent challenges in China that have global implications. This work can advance international understanding of the institutional reforms and scientific capacities needed to move from theory to practice on sustainable development. We begin this paper by providing an overview of the concepts, major reforms, timeline, and guidelines on drawing ecological conservation redlines (ECRs) and ERP processes in China. We then summarize and comment on the scientific challenges in ESs assessments for spatial land planning and discuss the need for a framework grounded in a policy context that relates ecosystem area to ESs, stressors, and biodiversity indicators. Based on this, we draw insights into creating such a framework to offer strategic support for scientists and policymakers in improving the measurement and valuation of ESs for effective implementation of ERP for sustainable development. We also identify a need for more studies on ecological production functions to provide relevant information for managers and economists in evaluating ERP efforts and tracking ESs trends.

The research on the interactions among multiple ecosystem services (ES) is a hotspot. Most of the previous studies focused on the qualitative description of ES interactions, however, there have been relatively few studies on spatially explicit and quantitative assessment of ES interactions. In this paper, we mapped the ecosystem service of soil conservation (SC), net primary production (NPP) and water yield (WY) in the upper reaches of Hanjiang River Basin (URHR) based on the land use and land cover (LULC), NDVI, soil properties and observed climate data covering 2000-2013. Moreover, we quantitatively assessed the variation characteristics of interactions among different ES with a spatio-temporal statistical framework by applying the partial correlation analysis at a pixel scale. The results are shown as follows: (1) From 2000 to 2013, the mean annual SC was 434.20 t·hm-2·yr-1, and the mean annual WY was 250.34 mm. They also presented a rising tendency at the rate of 16.10 t·hm-2·yr-1 and 3.79 mm·yr-1, respectively. However, the mean annual NPP was 854.11 gC·m-2·yr-1, and presented a decreasing tendency at the rate of 8.54 gC·m-2·yr-1. (2) Spatially, SC was high in the North-South mountain area, while it was low in the Middle valley region. Similarly, the NPP in the Middle valley region was lower than that of other regions. However, the WY increased from north to south. (3) The three pairwise ES presented different interactions. Both the interaction between SC and NPP and that between SC and WY presented as trade-off, accounting for 62.77% and 71.60% of the total area, respectively. On the contrary, the interaction between NPP and WY was prone to synergies, accounting for 62.89% of the total area. (4) Pairwise ES in different land cover types also presented a different interaction. As for woodland, wetland, cropland, artificial land and bare land, SC and NPP, as well as SC and WY both presented trade-off, while WY and NPP presented synergy. Specially, in grassland, all the three pairwise ES presented a trade-off relationship. Therefore, spatially explicit and quantitative assessment of ES interactions are more helpful for revealing the temporal non-linear evolution, and the spatial heterogeneity of ES interactions. This analysis framework also contributes to the regional sustainable land management and the optimization of multiple ES conservation.

多种生态系统服务之间的相互关系研究是生态系统服务研究的热点问题。目前,有关多种生态系统服务权衡与协同的研究多停留在定性描述阶段,缺乏具备空间位置信息的定量研究。综合土地利用、NDVI、土壤类型、气象等多源数据,对汉江上游流域2000-2013年的土壤保持服务、产水服务、植被碳固定（NPP）服务进行空间制图,并基于逐像元偏相关的时空统计制图方法,对三种生态系统服务之间的权衡与协同关系时空变化进行分析。结果表明：① 2000-2013年,汉江上游多年平均土壤保持量为434.20 t·hm^-2·yr^-1,且多年来以16.10 t·hm^-2·yr^-1速率递增。多年平均产水量为250.34 mm,多年递增速率为3.79 mm·yr^-1。NPP多年平均值为854.11 gC·m^-2·yr^-1,多年递减速率为8.54 gC·m^-2·yr^-1。② 汉江上游土壤保持量在空间上呈现出“南北山地高,河谷盆地低”的分布格局;植被NPP在空间上表现为汉江河谷地带低,其余地方高的态势;产水服务在空间上呈现由北向南递增的分布规律。③ 整个汉江上游流域土壤保持与NPP、土壤保持与产水服务均以权衡关系为主,权衡关系区域的面积占比分别达到62.77%和71.60%;NPP与产水服务以协同关系为主,协同关系的面积占比达到62.89%。④ 林地、湿地、耕地、人工表面及裸地中,土壤保持与NPP服务、土壤保持与产水服务在空间上以权衡关系为主,产水与NPP服务在空间上以协同关系为主;而草地表现为三种服务两两之间均以权衡关系为主。定量评估生态系统服务相互关系的时空特征,有利于研究生态系统服务之间相互关系在时间上的非线性变化以及空间上的分布异质性,对区域土地管理与生态系统服务优化具有重要的指导意义。

Plant roots play an important role in resisting the shallow landslip and topsoil erosion of slopes by raising soil shear strength. Among the models in interpreting the mechanisms of slope reinforcement by plant roots, Wu-Waldron model is a widely accepted one. In this model, the reinforced soil strength by plant roots is positively proportional to average root tensile strength and root area ratio, the two most important factors in evaluating slope reinforcement effect of plant roots. It was found that soil erosion resistance increased with the number of plant roots, though no consistent quantitative functional relationship was observed between them. The increase of soil erosion resistance by plant roots was mainly through the actions of fiber roots less than 1 mm in diameter, while fiber roots enhanced the soil stability to resist water dispersion via increasing the number and diameter of soil water-stable aggregates. Fine roots could also improve soil permeability effectively to decrease runoff and weaken soil erosion.

Climate change is a major driver of vegetation activity, and thus its complex processes become a frontier and difficulty in global change research. To understand the complex relationship between climate change and vegetation activity, the spatial distribution and dynamic characteristics of the response of NDVI to climate change from 1982 to 2013 in China were investigated by the geographically weighted regression (GWR) model. The GWR was run based on the combined datasets of satellite vegetation index (GIMMS NDVI) and climate observation (temperature and moisture) from meteorological stations nationwide. The results noted that the spatial non-stationary relationship between NDVI and surface temperature has appeared in China. The significant negative temperature-vegetation relationship was distributed in northeast, northwest and southeast parts of the country, while the positive correlation was more concentrated from southwest to northeast. And then, by comparing the normalized regression coefficients for different climate factors, regions with moisture dominants for NDVI were observed in North China and the Tibetan Plateau, and regions with temperature dominants for NDVI were distributed in the East, Central and Southwest China, where the annual mean maximum temperature accounts for the largest areas. In addition, regression coefficients between NDVI dynamics and climate variability indicated that the higher warming rate could result in the weakened vegetation activity through some mechanisms such as enhanced drought, while the moisture variability could mediate the hydrothermal conditions for the variation of vegetation activity. When the increasing rate of photosynthesis exceeded that of respiration, there was a positive correlation between vegetation dynamics and climate variability. However, the continuous and dynamic responding process of vegetation activity to climate change will be determined by spatially heterogeneous conditions in climate change and vegetation cover. Furthermore, the description of climate-induced vegetation activity from its rise to decline in different regions is expected to provide a scientific basis for initiating ecosystem-based adaptation strategies in response to global climate change.

为研究气候变化与植被活动之间的复杂关系,采用1982-2013年GIMMS NDVI与气象站点温度与水分的监测资料,应用基于像元的地理加权回归方法,探究了中国植被NDVI及其动态特征对气候变化响应的空间格局。中国植被NDVI与地表温度呈空间非平稳关系,在空间上的负相关关系主要集中在东北、西北及东南部分地区,空间正相关则更为集中和连片;针对不同气候指标的标准化系数对比可知,植被NDVI受水分控制作用较为显著的区域主要集中在北方地区以及青藏高原,温度的主导作用区域则分布在华东、华中及西南地区,其中年均最高气温对NDVI的主导区域范围最广;植被NDVI动态与气候变率的回归结果表明,增温速率的升高会通过加剧干旱等机制对植被活动产生抑制作用,水分变率对植被活动的强弱起到了重要的调节作用。

A clear understanding of the relationships among multiple ecosystem services (ESs) is the foundation for sustainable urban ecosystem management. Quantitatively identifying the factors that influence ES trade-offs and synergies can contribute to deepening ES research, from knowledge building to decision making. This study simulated soil conservation, water yield and carbon sequestration in Beijing, China, from 2015-2018. The spatial trade-offs and synergies of these three ESs within the five major river basins in Beijing were explored using geographically weighted regression. Furthermore, geographical detector was applied to quantitatively identify the driving mechanism of the environmental factors for the ES trade-offs and synergies. The results show the following: (1) the spatial relationships between soil conservation and water yield, as well as between water yield and carbon sequestration, were mainly trade-offs. There was a spatial synergy between soil conservation and carbon sequestration. (2) Regarding the spatial trade-off/synergy between soil conservation and water yield in Beijing, the dominant influencing factor was temperature/elevation, and the dominant interactions of the spatial trade-off and synergy between these two ESs in Beijing and the Chaobai River Basin are all manifested in the superposition of precipitation and potential evapotranspiration, temperature, and elevation. (3) Topographic factors were the dominant factors influencing the spatial relationship between soil conservation and carbon sequestration in Beijing and its five major river basins. As a result of the distribution of water systems and hydrological characteristics of the basins, differences were observed in the effects of different combinations of interaction factors on the spatial relationship between these two ESs in different basins. (4) Temperature had the strongest explanatory power in terms of the spatial trade-offs and synergies between water yield and carbon sequestration. The interactions between precipitation and temperature and between precipitation and elevation were the dominant interactions affecting the spatial relationship between water yield and carbon sequestration in Beijing. Overall, the explanatory power of influencing factors on the trade-offs and synergies and the degree of interaction between factors coexist in different basins with consistency and differences. Therefore, understanding the quantitative characteristics of basin-scale spatial trade-offs and synergies between ESs is important for ecosystem management and the promotion of synergy in different basins.