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The Depth Distribution of Constacyclic Codes Over the Ring F_(p)+vF_(p)+v^(2)F_(p)
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作者 LI Jian-hao WU Hua-zhang 《Chinese Quarterly Journal of Mathematics》 2021年第4期430-440,共11页
In this paper,we studied the depth spectrum and the depth distribution of constacyclic codes over the non-chain ring R=F_(p)+vF_(p)+v^(2)F_(p),where v^(3)=v.By decomposing the linear codes C over R into the linear cod... In this paper,we studied the depth spectrum and the depth distribution of constacyclic codes over the non-chain ring R=F_(p)+vF_(p)+v^(2)F_(p),where v^(3)=v.By decomposing the linear codes C over R into the linear codes over the finite field F_(p),three corresponding constacyclic codes C_(1),C_(2),C_(3) over F_(p)were obtained.Furthermore,considering the depth spectrum of constacyclic codes over the finite filed F_(p),and the relationship between constacyclic codes C_(1),C_(2),C_(3) and C,the depth spectrum and the depth distribution of constacyclic codes over R were discussed. 展开更多
关键词 Constacyclic code depth spectrum depth distribution Non-chain ring
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Optical Defects and Their Distribution in CVD Synthetic Diamond Irradiated by 2 Me VElectrons Along <100> Axis
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作者 Fanglin Lyu Tian Shao +2 位作者 Taiqiao Liu Xiaojing Lai Andy Hsitien Shen 《宝石和宝石学杂志(中英文)》 2025年第4期34-41,共8页
The features of optical defects in a chemical vapor deposition (CVD) synthetic type Ⅱ a diamond were characterized using photoluminescence (PL) spectroscopy, before and after electron irradiation. The sample was cut ... The features of optical defects in a chemical vapor deposition (CVD) synthetic type Ⅱ a diamond were characterized using photoluminescence (PL) spectroscopy, before and after electron irradiation. The sample was cut within a {100} growth layer, and irradiated with 2 MeV electrons along the <100> axis. PL spectra of sample were collected under 532 nm and 355 nm laser excitation, at room temperature and 77 K, and linear scanning analysis along incident depth was applied to determine the distribution of defects. The pre-irradiation characterization results revealed uniformly distributed PL centers at 389 nm, 469 nm, 533 nm, 575 nm (ZPL of NV 0), 637 nm (ZPL of NV -), and 736.7/737.1 nm (ZPL doublet of SiV -). After irradiation, the differential responses of these as-grown defects were observed, alongside the emergence of irradiation-induced defects, namely 489 nm center, H3 center (ZPL at 504 nm) and GR1 center (ZPL at 741 nm). The maximum penetration depth of 2 MeV electron-irradiation induced defects was determined to be 2.1 mm. This work primarily presents the depth profiles of both as-grown and irradiation-induced defects in 2 MeV electrons irradiated diamond. The result provides experimental data for better understanding of the radiation effect in diamonds. Serving as a reference for diamond enhancement by electron irradiation. 展开更多
关键词 DIAMOND optical defects depth distribution electron irradiation PHOTOLUMINESCENCE
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Variability of water supply affected shoot biomass and root depth distribution of four temperate grassland species in monocultures and mixtures 被引量:1
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作者 Eamon Haughey Jennifer CMcElwain John AFinn 《Journal of Plant Ecology》 SCIE CSCD 2020年第5期554-562,共9页
Aims Research on the effects of extreme rainfall events on ecosystem function has primarily focussed on drought or flooding events,which usually include changes to mean or total rainfall,annually or over a season.Howe... Aims Research on the effects of extreme rainfall events on ecosystem function has primarily focussed on drought or flooding events,which usually include changes to mean or total rainfall,annually or over a season.However,less is known about the effects of increased rainfall variability without change to mean or total amounts.We investigated the effects of increased variation of water supply on shoot and root biomass as well as the distribution of root biomass of four grassland plant species,grown in monoculture and mixture communities.Methods Perennial ryegrass(Lolium perenne L.,shallow-rooting grass),chicory(Cichorium intybus L.,deep-rooting forb),white clover(Trifolium repens L.,shallow-rooting legume)and red clover(Trifolium pratense L.,deep-rooting legume)were established in mesocosms.Four plants of the same species were grown in monoculture communities and one of each species grown in four-species communities.Water supply was manipulated such that;compared with a baseline level with low variation in water supply,there was a treatment with medium variation(±40%)and another with high variation(±80%).Shoot and root biomass were measured,and vertical root distribution models fitted.Important Findings Compared with the low variation treatment,shoot biomass was significantly reduced under high variation for white clover,red clover and four-species communities.Under all conditions,four-species communities produced more shoot and root biomass than predicted by species performance in monoculture(overyielding).Under increased water variation,chicory monocultures allocated a higher proportion of root biomass to deeper soil layers while the total root biomass of white clover monocultures was significantly reduced.These results indicate that increased variability of water supply can negatively affect the shoot and root biomass production of single and multi-species grasslands.There is a need for further investigation of water variation effects on the functioning of multi-species grassland systems at field scale. 展开更多
关键词 climate variability RAINFALL forage production root depth distribution grassland ecology
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Estimating distribution of water uptake with depth of winter wheat by hydrogen and oxygen stable isotopes under different irrigation depths 被引量:10
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作者 GUO Fei MA Juan-juan +3 位作者 ZHENG Li-jian SUN Xi-huan GUO Xiang-hong ZHANG Xue-lan 《Journal of Integrative Agriculture》 SCIE CAS CSCD 2016年第4期891-906,共16页
Crop root system plays an important role in the water cycle of the soil-plant-atmosphere continuum. In this study, com- bined isotope techniques, root length density and root cell activity analysis were used to invest... Crop root system plays an important role in the water cycle of the soil-plant-atmosphere continuum. In this study, com- bined isotope techniques, root length density and root cell activity analysis were used to investigate the root water uptake mechanisms of winter wheat (Triticum aesfivum L.) under different irrigation depths in the North China Plain. Both direct inference approach and multisource linear mixing model were applied to estimate the distribution of water uptake with depth in six growing stages. Results showed that winter wheat under land surface irrigation treatment (Ts) mainly absorbed water from 10-20 cm soil layers in the wintering and green stages (66.9 and 72.0%, respectively); 0-20 cm (57.0%) in the jointing stage; 0-40 (15.3%) and 80-180 cm (58.1%) in the heading stage; 60-80 (13.2%) and 180-220 cm (35.5%) in the filling stage; and 0-40 (46.8%) and 80-100 cm (31.0%) in the ripening stage. Winter wheat under whole soil layers irrigation treatment (Tw) absorbed more water from deep soil layer than Ts in heading, filling and ripening stages. Moreover, root cell activity and root length density of winter wheat under TW were significantly greater than that of Ts in the three stages. We concluded that distribution of water uptake with depth was affected by the availability of water sources, the root length density and root cell activity. Implementation of the whole soil layers irrigation method can affect root system distribution and thereby increase water use from deeper soil and enhance water use efficiency. 展开更多
关键词 hydrogen and oxygen stable isotopes multisource linear mixing model winter wheat distribution of wateruptake with depth
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Spatial distribution of snow depth based on geographically weighted regression kriging in the Bayanbulak Basin of the Tianshan Mountains, China 被引量:5
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作者 LIU Yang LI Lan-hai +2 位作者 CHEN Xi YANG Jin-Ming HAO Jian-Sheng 《Journal of Mountain Science》 SCIE CSCD 2018年第1期33-45,共13页
Snow depth is a general input variable in many models of agriculture,hydrology,climate and ecology.This study makes use of observational data of snow depth and explanatory variables to compare the accuracy and effect ... Snow depth is a general input variable in many models of agriculture,hydrology,climate and ecology.This study makes use of observational data of snow depth and explanatory variables to compare the accuracy and effect of geographically weighted regression kriging(GWRK)and regression kriging(RK)in a spatial interpolation of regional snow depth.The auxiliary variables are analyzed using correlation coefficients and the variance inflation factor(VIF).Three variables,Height,topographic ruggedness index(TRI),and land surface temperature(LST),are used as explanatory variables to establish a regression model for snow depth.The estimated spatial distribution of snow depth in the Bayanbulak Basin of the Tianshan Mountains in China with a spatial resolution of 1 km is obtained.The results indicate that 1)the result of GWRK's accuracy is slightly higher than that of RK(R^2=0.55 vs.R^2=0.50,RMSE(root mean square error)=0.102 m vs.RMSE=0.077 m);2)for the subareas,GWRK and RK exhibit similar estimation results of snow depth.Areas in the Bayanbulak Basin with a snow depth greater than 0.15m are mainly distributed in an elevation range of 2632.00–3269.00 m and the snow in this area comprises 45.00–46.00% of the total amount of snow in this basin.However,the GWRK resulted in more detailed information on snow depth distribution than the RK.The final conclusion is that GWRK is better suited for estimating regional snow depth distribution. 展开更多
关键词 Snow depth Spatial distribution Regression kriging Geographically weighted regression kriging
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Permeability in Flysch-Distribution Decrease with Depth and Grout Curtains Under Dams 被引量:1
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作者 MARINOS Vassilis FORTSAKIS Petros +1 位作者 PROUNTZOPOULOS George MARINOS Paul 《Journal of Mountain Science》 SCIE CSCD 2011年第2期234-238,共5页
A considerable number of in situ permeability tests in flysch are processed to a depth of 120m with a good spatial distribution. The distribution of permeability values for the different litho-types of this formation,... A considerable number of in situ permeability tests in flysch are processed to a depth of 120m with a good spatial distribution. The distribution of permeability values for the different litho-types of this formation, their comparison and their decrease with depth is discussed. The depth where a permeability of 3 to 5×10-7m/sec can be retained (the limit of a reasonable grouting under a high dam) may be twofold if the geological history of the formation could not contain a compressional tectonic process. This depth may reach 100m in some cases. The differences in the mean values of permeability among the various litho-types are minor, while the presence of siltstones, always present although with varied participation, dramatically controls the global permeability. 展开更多
关键词 PERMEABILITY Flysch DAMS Grout curtain distribution with depth
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Numerical method for wave height distribution within the artificial harbor with water depth of steep variation
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《Acta Oceanologica Sinica》 SCIE CAS CSCD 1998年第3期417-421,共5页
NumericalmethodforwaveheightdistributionwithintheartificialharborwithwaterdepthofsteepvariationINTRODUCTIONA... NumericalmethodforwaveheightdistributionwithintheartificialharborwithwaterdepthofsteepvariationINTRODUCTIONAnartificialharbor... 展开更多
关键词 WAVE Numerical method for wave height distribution within the artificial harbor with water depth of steep variation
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Accessing global soil raster images and equal-area splines to estimate soil organic carbon stocks on the regional scale
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作者 Trevan FLYNN Rosana KOSTECKI +1 位作者 Ansa REBI Taqi RAZA 《Pedosphere》 2025年第5期834-845,共12页
Soil carbon stock research has gained prominence in environmental studies amidst climate change concerns,especially given that soil is one of the largest terrestrial carbon reserves.Accurate predictions necessitate co... Soil carbon stock research has gained prominence in environmental studies amidst climate change concerns,especially given that soil is one of the largest terrestrial carbon reserves.Accurate predictions necessitate comprehensive soil profile measurements,which are resource-intensive to obtain.To address this,depth functions are employed to derive continuous estimates,aligning with standardized depths.However,global datasets employing depth functions in raster format have not been widely utilized,which could lower financial costs and improve accuracy in data-scarce regions.Furthermore,research into aggregating depth functions for realistic carbon stock estimations remains limited,offering opportunities to streamline cost and time.The aim of this study was to apply equal-area splines to estimate soil carbon stocks,utilizing SoilGrids and iSDAsoil datasets in a 317-km^(2) Quaternary catchment(30°48′E,29°18′S)in KwaZulu-Natal,South Africa.Both datasets were resampled to a 250-m resolution,and the splines were interpolated to a depth of 50 cm per pixel.Various aggregation methods were employed in calculation,including the cumulative sum(definite integral),discrete sum(sum of 1-cm spline predictions),and the mean carbon stock(mean to 50 cm).Quantitative evaluation was performed with 310 external soil samples.SoilGrids showed higher predictions(100–546 kg m^(-2))than iSDAsoil(66.9–225 kg m^(-2))for the cumulative sum.The discrete sum also exhibited higher prediction values for SoilGrids(293–789 kg m^(-2))compared to iSDAsoil(228–557 kg m^(-2)).SoilGrids aggregated with the discrete sum closely matched previous studies,estimating total carbon stock for the catchment at 7126 t,albeit with spatial inconsistencies.However,when evaluating with an external dataset,the results were not satisfactory for any method according to Lin's concordance correlation coefficient(CCC,correlation of a 1:1 line),with all models obtaining a CCC below 0.01.Similarly,all models had a root mean squared error larger than 59 kg m^(-2).It was concluded that SoilGrids and iSDAsoil were spatially inaccurate in the catchment but can still provide information about the total carbon stock.This method could be improved by obtaining more soil samples for the datasets,incorporating local data into the spline,making the method more computationally efficient,and accounting for discrete horizon boundaries. 展开更多
关键词 depth distribution depth function global dataset Google Earth Engine normalized difference prediction index South Africa
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Depth-dependent accumulation and controls of particulate and mineral-associated organic carbon in Inner Mongolian grasslands
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作者 Haojun ZHENG Shuai ZHANG +13 位作者 Guocheng WANG Mingming WANG Yunlong HU Yuchen WEI Kang XU Haigang LI Shixiang ZHAO Biao ZHU Jinfeng CHANG Zhou SHI Su YE Changqing SONG Wen ZHANG Zhongkui LUO 《Science China Earth Sciences》 2025年第9期3064-3076,共13页
Global grasslands can sequester soil organic carbon(SOC)while maintaining ecosystem function,thereby mitigating climate change.SOC consists of components with varying stability and turnover rates,such as particulate o... Global grasslands can sequester soil organic carbon(SOC)while maintaining ecosystem function,thereby mitigating climate change.SOC consists of components with varying stability and turnover rates,such as particulate organic carbon(POC)and mineral-associated organic carbon(MAOC).While these components have been extensively studied in the surface layer(0-30 cm),their distribution and controls in deeper layers remain poorly understood.This study combined precise measurements of POC and MAOC across seven sequential depth layers down to 2 m at 17 Inner Mongolian grassland sites with a global dataset to elucidate their vertical distribution patterns and underlying controls.Results showed that POC generally dominated MAOC in Inner Mongolian grassland soils,albeit with regional variations in this dominance.Interestingly,the proportion of MAOC to total SOC(MAOC:(MAOC+POC)),indicating SOC stability,increased with depth in the upper 0-50 cm but decreased below 50 cm,suggesting that environmental factors at depth may constrain POC decomposition and MAOC formation.POC accumulation was positively influenced by the mean annual precipitation in the top 30 cm and negatively affected by soil pH down to 50 cm.Contrastingly,MAOC was coregulated by the clay and silt content(CS)and aluminum(Al)oxide in surface soils(0-30 cm),whereas Al oxide dominated from 30 to 100 cm.Notably,MAOC:(MAOC+POC)correlated significantly with CS across all depths,underscoring the persistent role of physical protection mechanisms in deeper layers.These findings highlight depthspecific accumulation patterns and controls of POC and MAOC in the Inner Mongolian grasslands,indicating that optimizing SOC sequestration under changing climate and management scenarios requires depth-specific strategies that target both shortterm POC enhancement and long-term MAOC stabilization. 展开更多
关键词 Soil organic carbon Inner Mongolian grasslands POC MAOC depth distribution
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Study on System of Faults in the Gulf of Mexico and Adjacent Region based on Gravity Data 被引量:2
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作者 MA Jie WANG Wanyin +4 位作者 DU Xiangdong LUO Xingang CAI Wenjie YANG Min WANG Dingding 《Acta Geologica Sinica(English Edition)》 SCIE CAS CSCD 2021年第1期305-318,共14页
In the Gulf of Mexico and adjacent landmasses,faults are very complex,and their distribution is closely related to plate tectonics,ocean-land boundary,and former structure.The plane position of the faults can be ident... In the Gulf of Mexico and adjacent landmasses,faults are very complex,and their distribution is closely related to plate tectonics,ocean-land boundary,and former structure.The plane position of the faults can be identified by the maximum characteristic of the vertical derivative of the normalized vertical derivative of the total horizontal derivative(NVDR-THDR)of the Bouguer gravity anomaly.The apparent depth of the faults is inverted by the Bouguer gravity anomaly curvature property.Based on tectonic evolutionary processes and the plane distribution and apparent depth characteristics of the faults,a complete fault system for the Gulf of Mexico and adjacent areas has been established,including 102 faults.The apparent depths of 33 first-class faults are 16-20 km and for 69 second-class faults are 12-16 km.The F_(1-2)and F_(1-3)subduction fault zones are two caused by the subduction of the Cocos Plate into the old Yucatan and Chorti landmasses;F_(1-11)and F_(1-12)fault zones extend westward to the coast of Guatemala and do not extend into the continent;F_(1-17)and F_(1-20)faults,which control the boundary of the oceanic crust,do not extend southward into the continent.The fault system,which radiates in a"fan-shaped"structure as a whole,unfolds to the northeast.Faults of different nature and sizes are distributed in the Cocos Plate subduction zone,Continental,Gulf of Mexico,Yucatan old landmass and Caribbean Plate in NW,NNW,NS,NE and NEE directions.In the Gulf of Mexico region,the fault system is a comprehensive reflection of former tectonic movements,such as plate movement,drift of old landmasses and expansion of oceanic crusts.The first-class faults control the plate and ocean-continental boundaries.The second-class faults are subordinate to the first-class faults or related to the distribution of different sedimentary layers. 展开更多
关键词 structural geology TECTONISM gravity anomaly fault distribution and apparent depth Gulf of Mexico region
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DISTRIBUTION OF WAVE INDUCED EXCESS MOMENTUM FLUXES OVER DEPTH AND APPLICATION TO THREE DIMENSIONAL NUMERICAL MODELING OF WAVE CURRENT INTERACTIONS 被引量:1
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作者 Zheng Jin hai, Yan Kai, Yan Yi xin College of Harbor, Waterway and Coastal Engineering, Hohai University, Nanjing 210098, P.R.China 《Journal of Hydrodynamics》 SCIE EI CSCD 1999年第4期68-75,共8页
Using the linear wave theory, the distributions of the wave induced excess momentum fluxes over depth at the arbitrary wave angle and their asymptotic forms for deep and shallow water are developed. Results indicate ... Using the linear wave theory, the distributions of the wave induced excess momentum fluxes over depth at the arbitrary wave angle and their asymptotic forms for deep and shallow water are developed. Results indicate that the distribution of the wave induced excess momentum fluxes over depth is non uniform and the contributions of the component below the wave trough to the total momentum fluxes become considerable in shallow water. On the basis of the Navier Stokes equations, the simplified three dimensional mathematical model is established by taking a phase average over a wavelength. It is found that there are the terms of the wave induced excess momentum fluxes varying over depth in the model, which illustrates the situation of wave current interactions and the vertical structure of current velocity are changed because of different wave induced excess momentum fluxes at various vertical location. The finite difference method is employed to solve the simplified model. Performances of the two dimensional vertically integrated equations are evaluated against available numerical and experimental results including the cases of wave set up on a plane beach, longshore current due to an oblique wave, wave induced nearshore circulation in a semi enclosed seas, and wave current interactions. All cases yield satisfactory agreements. The three dimensional mathematical model is applied to the numerical simulation of wave current interactions, and it performs well in predicting the vertical velocity structure and the plane flow field. 展开更多
关键词 linear wave theory wave induced excess momentum flux distribution over depth numerical simulation wave current interactions vertical velocity structure.
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Peak accumulation of soil organic carbon in the early Holocene
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作者 Juan Li Shanshan Yang +7 位作者 Pete Smith Jiayi Li Xiling Gu Huangyu Huo Yuxi Wei Liqing Zhao Minghan Yu Jinzhi Ding 《Science Bulletin》 2025年第16期2691-2700,共10页
Soil holds significant potential to mitigate atmospheric CO_(2)concentrations through the sequestration of organic carbon,yet its contribution to fluctuations in atmospheric CO_(2)over the Holocene has been a matter o... Soil holds significant potential to mitigate atmospheric CO_(2)concentrations through the sequestration of organic carbon,yet its contribution to fluctuations in atmospheric CO_(2)over the Holocene has been a matter of much speculation.Here we explored analyses of 5190 radiocarbon data and 442,737 content observations of soil organic carbon(SOC)to visualize the global abundance-persistence spectrum of SOC and its depth distribution.We found that the present-day soil carbon pool began to accumulate since the Late Pleistocene and reached its peak accumulation in the early Holocene,approximately 8–10 thousand years ago.High-latitude regions contain significant amounts of ancient carbon,even in shallow soil layers,with maximum sequestration driven by post-glacial vegetation recovery and peatland development,which contributed to reducing CO_(2)and temperature fluctuations during the early Holocene.However,higher temperatures correspond to suppressed carbon accumulation in the Holocene,implying that ongoing global warming may further deplete soil carbon pools and threaten the sustainability of soil carbon sequestration. 展开更多
关键词 Soil organic carbon Carbon storage Carbon age PERSISTENCE depth distribution
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Most root-derived carbon inputs do not contribute to long-term global soil carbon storage 被引量:2
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作者 Guocheng WANG Liujun XIAO +10 位作者 Ziqi LIN Qing ZHANG Xiaowei GUO Annette COWIE Shuai ZHANG Mingming WANG Songchao CHEN Ganlin ZHANG Zhou SHI Wenjuan SUN Zhongkui LUO 《Science China Earth Sciences》 SCIE EI CAS CSCD 2023年第5期1072-1086,共15页
Plant root-derived carbon(C)inputs(I_(root))are the primary source of C in mineral bulk soil.However,a fraction of I_(root)may lose quickly(I_(loss),e.g.,via rhizosphere microbial respiration,leaching and fauna feedin... Plant root-derived carbon(C)inputs(I_(root))are the primary source of C in mineral bulk soil.However,a fraction of I_(root)may lose quickly(I_(loss),e.g.,via rhizosphere microbial respiration,leaching and fauna feeding)without contributing to long-term bulk soil C storage,yet this loss has never been quantified,particularly on a global scale.In this study we integrated three observational global data sets including soil radiocarbon content,allocation of photo synthetically assimilated C,and root biomass distribution in 2,034 soil profiles to quantify I_(root)and its contribution to the bulk soil C pool.We show that global average I_(root)in the 0-200 cm soil profile is 3.5 Mg ha^(-1)yr^(-1),~80%of which(i.e.,I_(loss))is lost rather than co ntributing to long-term bulk soil C storage.I_(root)decreases exponentially with soil depth,and the top 20 cm soil contains>60%of total I_(root).Actual C input contributing to long-term bulk soil storage(i.e.,I_(root)-I_(loss))shows a similar depth distribution to I_(root).We also map I_(loss)and its depth distribution across the globe.Our results demonstrate the global significance of direct C losses which limit the contribution of I_(root)to bulk soil C storage;and provide spatially explicit data to facilitate reliable soil C predictions via separating direct C losses from total root-derived C inputs. 展开更多
关键词 Carbon inputs Root biomass Soil organic carbon depth distribution Bulk soil carbon Radiocarbon
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An empirical approach to predict regional organic carbon in deep soils
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作者 Jingjing WANG Xiaorong WEI +4 位作者 Xiaoxu JIA Mingbin HUANG Zhipeng LIU Yufei YAO Ming’an SHAO 《Science China Earth Sciences》 SCIE EI CAS CSCD 2023年第3期583-593,共11页
Deep soil organic carbon(SOC)plays an important role in carbon cycling.Precisely predicting deep SOC at the regional scale is crucial for the accurate assessment of carbon sequestration potential in soils but has been... Deep soil organic carbon(SOC)plays an important role in carbon cycling.Precisely predicting deep SOC at the regional scale is crucial for the accurate assessment of carbon sequestration potential in soils but has been challenging for a century.Herein,we developed a depth distribution function-based empirical approach to predict SOC in deep soils at the regional scale.We validated this approach with a dataset from four regions of the world and examined the application of this approach in China’s Loess Plateau.We found that among the reported depth distribution functions describing vertical patterns of SOC,the negative exponential function performed best in fitting SOC along the soil profile in various regions.Moreover,the parameters(i.e.,Ceand k)of the negative exponential function were linearly correlated to surface SOC(0–20 cm)and the changing rates of SOC within the topsoil(0–40 cm).Based on the above relationships,the empirical equations for predicting the negative exponential parameters are established.The validation results from site-specific and regional dataset showed that combining the negative exponential function and such empirical equations can precisely predict SOC concentration in soils down to 500 cm depth.Our study provides a simple,rapid and accurate method for predicting deep soil SOC at the regional scale,which could simplify the assessment of deep soil SOC in various regions. 展开更多
关键词 Deep SOC Empirical approach Negative exponential function depth distribution Spatial pattern
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