不同辐射对土壤湿度长程相关性的影响——以黑河流域阿柔超级站为例（英文）
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摘要
Analyses of the soil moisture evolution trend and the influence of different types of radiation on soil moisture are of great significance to the simulation and prediction of soil moisture. In this paper, soil moisture(2–60 cm) and various radiation data from 2014–2015 at the A'rou superstation were selected. The radiation data include the net radiation(NR), shortwave and longwave radiation(SR and LR). Using adaptive fractal analysis(AFA), the long-range correlation(LRC) of soil moisture and long-range cross correlation(LRCC) between moisture and three types of radiation were analyzed at different timescales and soil depths. The results show that:(1) Persistence of soil moisture and consistency between soil moisture and radiation mutate at 18-d and 6-d timescales, respectively. The timescale variation of soil moisture persistence is mainly related to the influence process of radiation on soil moisture;(2) Both the soil moisture persistence and soil moisture-radiation consistency vary substantially with soil depth. The soil depth variation of soil moisture persistence is related to the influence intensity of radiation;(3) From 2–6 day timescales, LR displays the strongest influence on soil moisture at depths of 2–10 cm through negative feedback of radiation on the soil temperature. The influence intensity decreases with depth from 2–15 cm. Therefore, the soil moisture persistence is weak and increases with depth from 2–15 cm; and(4) At more than 6 day timescales, SR and NR display a stronger influence on the soil moisture persistence at depths of 2–40 cm through positive feedback of radiation on the soil temperature, especially at depths of 2–10 cm. This influence also weakens with depth. The soil moisture persistence at depths of 2–10 cm is the weakest and increases with depth from 2–40 cm. The research results are instructive for determining timescales and soil depths related to soil water in hydrological models.
Analyses of the soil moisture evolution trend and the influence of different types of radiation on soil moisture are of great significance to the simulation and prediction of soil moisture. In this paper, soil moisture(2–60 cm) and various radiation data from 2014–2015 at the A'rou superstation were selected. The radiation data include the net radiation(NR), shortwave and longwave radiation(SR and LR). Using adaptive fractal analysis(AFA), the long-range correlation(LRC) of soil moisture and long-range cross correlation(LRCC) between moisture and three types of radiation were analyzed at different timescales and soil depths. The results show that:(1) Persistence of soil moisture and consistency between soil moisture and radiation mutate at 18-d and 6-d timescales, respectively. The timescale variation of soil moisture persistence is mainly related to the influence process of radiation on soil moisture;(2) Both the soil moisture persistence and soil moisture-radiation consistency vary substantially with soil depth. The soil depth variation of soil moisture persistence is related to the influence intensity of radiation;(3) From 2–6 day timescales, LR displays the strongest influence on soil moisture at depths of 2–10 cm through negative feedback of radiation on the soil temperature. The influence intensity decreases with depth from 2–15 cm. Therefore, the soil moisture persistence is weak and increases with depth from 2–15 cm; and(4) At more than 6 day timescales, SR and NR display a stronger influence on the soil moisture persistence at depths of 2–40 cm through positive feedback of radiation on the soil temperature, especially at depths of 2–10 cm. This influence also weakens with depth. The soil moisture persistence at depths of 2–10 cm is the weakest and increases with depth from 2–40 cm. The research results are instructive for determining timescales and soil depths related to soil water in hydrological models.
Analyses of the soil moisture evolution trend and the influence of different types of radiation on soil moisture are of great significance to the simulation and prediction of soil moisture. In this paper, soil moisture(2–60 cm) and various radiation data from 2014–2015 at the A'rou superstation were selected. The radiation data include the net radiation(NR), shortwave and longwave radiation(SR and LR). Using adaptive fractal analysis(AFA), the long-range correlation(LRC) of soil moisture and long-range cross correlation(LRCC) between moisture and three types of radiation were analyzed at different timescales and soil depths. The results show that:(1) Persistence of soil moisture and consistency between soil moisture and radiation mutate at 18-d and 6-d timescales, respectively. The timescale variation of soil moisture persistence is mainly related to the influence process of radiation on soil moisture;(2) Both the soil moisture persistence and soil moisture-radiation consistency vary substantially with soil depth. The soil depth variation of soil moisture persistence is related to the influence intensity of radiation;(3) From 2–6 day timescales, LR displays the strongest influence on soil moisture at depths of 2–10 cm through negative feedback of radiation on the soil temperature. The influence intensity decreases with depth from 2–15 cm. Therefore, the soil moisture persistence is weak and increases with depth from 2–15 cm; and(4) At more than 6 day timescales, SR and NR display a stronger influence on the soil moisture persistence at depths of 2–40 cm through positive feedback of radiation on the soil temperature, especially at depths of 2–10 cm. This influence also weakens with depth. The soil moisture persistence at depths of 2–10 cm is the weakest and increases with depth from 2–40 cm. The research results are instructive for determining timescales and soil depths related to soil water in hydrological models.
引文
Alberto M C R,Quilty J R,Buresh R J et al.,2014.Actual evapotranspiration and dual crop coefficients for dry-seeded rice and hybrid maize grown with overhead sprinkler irrigation.Agricultural Water Management,136(2):1-12.
Atchley A L,Maxwell R M,2011.Influences of subsurface heterogeneity and vegetation cover on soil moisture,surface temperature and evapotranspiration at hillslope scales.Hydrogeology Journal,19(2):289-305.
Betts A K,1921.Idealized model for equilibrium boundary layer over land.Journal of Hydrometeorology,1(6):507-523.
Biswas A,Zeleke T B,Si B C et al.,2012.Multifractal detrended fluctuation analysis in examining scaling properties of the spatial patterns of soil water storage.Nonlinear Processes in Geophysics,19(1):1-12.
Cheng C X,Shi P J,Song C Q et al.,2018.Geographic big-data:A new opportunity for geography complexity study.Acta Geographica Sinica,73(8):1397-1406.(in Chinese)
Cheng W J,Cui J Y,Min F H et al.,2009.Root distribution characteristics of three turfgrasses and their impact on soil nutrient content.Acta Prataculturae Sinica,18(1):179-183.(in Chinese)
Cong X,Wang X,Mei Y et al.,2017.Scaling analysis of the wind speed time-series based on adaptive fractal analysis method.Hydropower&New Energy,(11):1-6.(in Chinese)
Fei X L,Zhang X M,Jing L Y et al.,2013.Vertical variability of soil moisture content in semiarid loess region:Acase study of Sunjiacha basin of Lanzhou in Gansu Province.Acta Pedologica Sinica,50(4):652-656.(in Chinese)
Gao J,Hu J,Mao X et al.,2012.Culturomics meets random fractal theory:Insights into long-range correlations of social and natural phenomena over the past two centuries.Journal of the Royal Society Interface,73(9):1956-1964.
Gao X F,Liu Y H,Guo J Q et al.,2015.Research on change of soil moisture content based on detrended fluctuation analysis.Soils,47(1):188-191.(in Chinese)
Gu L,Meyers T,Pallardy S G et al.,2006.Direct and indirect effects of atmospheric conditions and soil moisture on surface energy partitioning revealed by a prolonged drought at a temperate forest site.Journal of Geophysical Research Atmospheres,111(D16).https://doi.org/10.1029/2006jd007161.
Han L Y,Zhang Q,Jia J Y et al.,2014.Hydrological and ecological modeling in Shiyang River Basin.Chinese Journal of Soil Science,45(2):352-357.(in Chinese)
He H D,Wang J L,Wei H R et al.,2016.Fractal behavior of traffic volume on urban expressway through adaptive fractal analysis.Physical Statistical Mechanics&Its Applications,443:518-525.
Huang Z G,Ouyang Z Y,Li F R et al.,2009.Spatial and temporal dynamics in soil water storage under different use types of sloping fields:A case study in a highland region of southern china.Acta Ecologica Sinica,29(6):3136-3146.(in Chinese)
Jiang A,Gao J,2017.Fractal analysis of complex power load variations through adaptive multiscale filtering.International Conference on Behavioral,Economic and Socio-Cultural Computing(pp.1-5).IEEE.
Juancamilo V,Davidd B,Zou C et al.,2010.Ecohydrological controls of soil evaporation in deciduous drylands:How the hierarchical effects of litter,patch and vegetation mosaic cover interact with phenology and season.Journal of Arid Environments,74(5):595-602.
Karelin D V,Zamolodchikov D G,Zukert N V et al.,2013.Interannual changes in par and soil moisture during warm season may be more important than temperature fluctuations in directing annual carbon balance in tundra.Biology Bulletin Reviews,3(5):371-387.
Kirchner M,Schubert P,Liebherr M et al.,2014.Detrended fluctuation analysis and adaptive fractal analysis of stride time data in Parkinson’s Disease:Stitching together short gait trials.Plos One,9(1):e85787.https://doi.org/10.1371/journal.pone.0085787.
Kuznetsov N,Bonnette S,Gao J et al.,2013.Adaptive fractal analysis reveals limits to fractal scaling in center of pressure trajectories.Annals of Biomedical Engineering,41(8):1646.
Lei J,Xia Z,Lu W,2016.Long-range correlations of global sea surface temperature.Plos One,11(4),e0153774.https://doi.org/10.1371/journal.pone.0153774.
Li G W,Feng Q,Zhang F P et al.,2014.The soil infiltration characteristics of typical grassland in Babao River Basin of Qilian Mountain.Agricultural Research in the Arid Areas,32(1):60-59.(in Chinese)
Li P,Li Z B,Hao M D et al.,2003.Root distribution characteristics of natural grassland on Loess Plateau.Research of Soil&Water Conservation,10(1):144-843.(in Chinese)
Li X,Cheng G,Liu S et al.,2013.Heihe watershed allied telemetry experimental research(hiwater):scientific objectives and experimental design.Bulletin of the American Meteorological Society,94(8):1145-1160.
Li Y N,Zhao L,Xu S X et al.,2005.An analysis on the effects of coverage change on soil climate of alpine Kobresia humilis meadow.Journal of Arid Land Resources&Environment,19(Suppl.1):127-131.(in Chinese)
Liu M,Bárdossy A,Li J et al.,2012.Physically-based modeling of topographic effects on spatial evapotranspiration and soil moisture patterns through radiation and wind.Hydrology and Earth System Sciences,16(2):357-373.
Liu S M,Xu Z W,Wang W Z et al.,2011.A comparison of eddy-covariance and large aperture scintillometer measurements with respect to the energy balance closure problem.Hydrology&Earth System Sciences,15(4):1291-1306.
Liu W,Xu X,Kiely G,2012.Spatial variability of remotely sensed soil moisture in a temperate-humid grassland catchment.Ecohydrology,5(5):668-676.
Malek E,1993.Rapid changes of the surface soil heat flux and its effects on the estimation of evapotranspiration.Journal of Hydrology,142(1-4):89-97.
Maltese A,Bates P D,Capodici F et al.,2013.Critical analysis of thermal inertia approaches for surface soil water content retrieval.International Association of Scientific Hydrology Bulletin,58(5):1144-1161.
Mandelbrot B B,1991.The Fractal Geometry of Nature.BirkhauserVerlag.
Ni G Y,Zhao P,Zhu L W et al.,2015.Hydraulic responses of whole tree transpiration of Schima superba to soil moisture in dry and wet seasons.Acta Ecologica Sinica,35(3):652-662.(in Chinese)
Ouyang X,Chen D,Duan S B et al.,2017.Validation and analysis of long-term AATSR land surface temperature product in the Heihe River Basin,China.Remote Sensing,9(152).https://doi.org/10.3390/rs9020152.
Parinussa R M,Wang G,Holmes T R H et al.,2014.Global surface soil moisture from the microwave radiation imager onboard the Fengyun-3b satellite.International Journal of Remote Sensing,35(19):7007-7029.
Peng C K,Buldyrev S V,Havlin S et al.,1994.Mosaic organization of DNA nucleotides.Physical Review E,49(2):1685-1689.
Peng H,Zhao C,Liang J,2016.Daily variation of evapotranspiration rate of alpine grassland and analysis of its environmental factors in upper reach of Heihe River.Journal of Water Resources&Water Engineering,27(1):46-53.(in Chinese)
Podobnik B,Jiang Z Q,Zhou W X et al.,2011.Statistical tests for power-law cross-correlated processes.Physical Review E Statistical Nonlinear&Soft Matter Physics,84(2):66-118.
Porporato A,D’Odorico P,Laio F et al.,2002.Ecohydrology of water-controlled ecosystems.Advances in Water Resources,25(8-12):1335-1348.
Riley M A,Bonnette S,Kuznetsov N et al.,2012.A tutorial introduction to adaptive fractal analysis.Frontiers in Physiology,3:371.https://doi.org/10.3389/fphys.2012.00371.
Ross P J,Williams J,Mccrown R L,1985.Soil temperature and the energy balance of vegetative mulch in the semi-arid tropics(1):Static analysis of the radiation balance.Australian Journal of Soil Research,23(4):493-514.
Sadeghi M,Jones S B,Philpot W D,2015.A linear physically-based model for remote sensing of soil moisture using short wave infrared bands.Remote Sensing of Environment,164:66-76.
Shadkhoo S,Jafari G R,2009.Multifractal detrended cross-correlation analysis of temporal and spatial seismic data.European Physical Journal B,72(4):679-683.
Shang L,Lv S,Li S et al.,2010.Effect of soil freezing and thawing on surface radiation over Qinghai-Tibet Plateau.Acta Energiae Solaris Sinica,31(1):12-16.(in Chinese)
Shen S,Ye S,Cheng C et al.,2018.Persistence and corresponding time scales of soil moisture dynamics during summer in the Babao River Basin,Northwest China.Journal of Geophysical Research:Atmospheres,123:1-13.
Song C Q,Cheng C X,Shi P J,2018.Geography complexity:New connotations of geography in the new era.Acta Geographica Sinica,73(7):1204-1213.(in Chinese)
Song C Q,Yuan L H,Yang X F et al.,2017.Ecological-hydrological processes in arid environment:Past,present and future.Journal of Geographical Sciences,27(12):1577-1594.
Song R L,Yu J J,Liu C M et al.,2011.Long-range correlations of soil moisture series with detrended fluctuation analysis.Journal of Hydraulic Engineering,42(3):315-322.(in Chinese)
Stanhill G,Rosa R,Cohen S,2013.The roles of water vapour,rainfall and solar radiation in determining air temperature change measured at Bet Dagan,Israel between 1964 and 2010.International Journal of Climatology,33(7):1772-1780.
Wang D H,Suo Y Y,2014.Cross-correlation and risk measurement between CSI 300 index futures and spot markets in China.Systems Engineering-Theory&Practice,34(3):631-639.
Wang J,Zhao D Q,2012.Detrended cross-correlation analysis of electroencephalogram.Chinese Physics B,21(2):577-580.(in Chinese)
Wang P,Wang J,2012.Detrended cross-correlation analysis:A new method for gait signal analysis.Journal of Biomedical Engineering,29(6):1193-1196.(in Chinese)
Wang Q F,Zhang T J,Peng X Q,2013.Freezing and thawing processes and their impact on ground surface radiation balance in the upper reaches of Heihe river.Journal of Lanzhou University,49(2):182-191.(in Chinese)
Wei J,Dirmeyer P A,Guo Z,2008.Sensitivities of soil wetness simulation to uncertainties in precipitation and radiation.Geophysical Research Letters,35(15):189-193.
Xie X H,Cui Y L,Zhou Y T,2008.Long-term correlation and multi-fractality of reference crop evapotranspiration time series.Journal of Hydraulic Engineering,39(12):1327-1333.(in Chinese)
Yang J,Su K,Ye S J,2019.Stability and long-range correlation of air temperature in the Heihe River Basin.Journal of Geographical Sciences,29(9):1462-1474.
Zhang L,Dawes W R,Walker G R,2001.Response of mean annual evapotranspiration to vegetation changes at catchment scale.Water Resources Research,37(3):701-708.
Zhang L F,Zhang J Q,Zhang X et al.,2017.Characteristics of evapotranspiration of degraded alpine meadow in the Three-River Source region.Acta Agrestia Sinica,25(2):273-281.(in Chinese)
Zhang T,Shen S,Cheng C et al.,2018.Long-range correlation analysis of soil temperature and moisture on A’rou hillsides,Babao River Basin.Journal of Geophysical Research:Atmospheres,123:12606-12620.
Atchley A L,Maxwell R M,2011.Influences of subsurface heterogeneity and vegetation cover on soil moisture,surface temperature and evapotranspiration at hillslope scales.Hydrogeology Journal,19(2):289-305.
Betts A K,1921.Idealized model for equilibrium boundary layer over land.Journal of Hydrometeorology,1(6):507-523.
Biswas A,Zeleke T B,Si B C et al.,2012.Multifractal detrended fluctuation analysis in examining scaling properties of the spatial patterns of soil water storage.Nonlinear Processes in Geophysics,19(1):1-12.
Cheng C X,Shi P J,Song C Q et al.,2018.Geographic big-data:A new opportunity for geography complexity study.Acta Geographica Sinica,73(8):1397-1406.(in Chinese)
Cheng W J,Cui J Y,Min F H et al.,2009.Root distribution characteristics of three turfgrasses and their impact on soil nutrient content.Acta Prataculturae Sinica,18(1):179-183.(in Chinese)
Cong X,Wang X,Mei Y et al.,2017.Scaling analysis of the wind speed time-series based on adaptive fractal analysis method.Hydropower&New Energy,(11):1-6.(in Chinese)
Fei X L,Zhang X M,Jing L Y et al.,2013.Vertical variability of soil moisture content in semiarid loess region:Acase study of Sunjiacha basin of Lanzhou in Gansu Province.Acta Pedologica Sinica,50(4):652-656.(in Chinese)
Gao J,Hu J,Mao X et al.,2012.Culturomics meets random fractal theory:Insights into long-range correlations of social and natural phenomena over the past two centuries.Journal of the Royal Society Interface,73(9):1956-1964.
Gao X F,Liu Y H,Guo J Q et al.,2015.Research on change of soil moisture content based on detrended fluctuation analysis.Soils,47(1):188-191.(in Chinese)
Gu L,Meyers T,Pallardy S G et al.,2006.Direct and indirect effects of atmospheric conditions and soil moisture on surface energy partitioning revealed by a prolonged drought at a temperate forest site.Journal of Geophysical Research Atmospheres,111(D16).https://doi.org/10.1029/2006jd007161.
Han L Y,Zhang Q,Jia J Y et al.,2014.Hydrological and ecological modeling in Shiyang River Basin.Chinese Journal of Soil Science,45(2):352-357.(in Chinese)
He H D,Wang J L,Wei H R et al.,2016.Fractal behavior of traffic volume on urban expressway through adaptive fractal analysis.Physical Statistical Mechanics&Its Applications,443:518-525.
Huang Z G,Ouyang Z Y,Li F R et al.,2009.Spatial and temporal dynamics in soil water storage under different use types of sloping fields:A case study in a highland region of southern china.Acta Ecologica Sinica,29(6):3136-3146.(in Chinese)
Jiang A,Gao J,2017.Fractal analysis of complex power load variations through adaptive multiscale filtering.International Conference on Behavioral,Economic and Socio-Cultural Computing(pp.1-5).IEEE.
Juancamilo V,Davidd B,Zou C et al.,2010.Ecohydrological controls of soil evaporation in deciduous drylands:How the hierarchical effects of litter,patch and vegetation mosaic cover interact with phenology and season.Journal of Arid Environments,74(5):595-602.
Karelin D V,Zamolodchikov D G,Zukert N V et al.,2013.Interannual changes in par and soil moisture during warm season may be more important than temperature fluctuations in directing annual carbon balance in tundra.Biology Bulletin Reviews,3(5):371-387.
Kirchner M,Schubert P,Liebherr M et al.,2014.Detrended fluctuation analysis and adaptive fractal analysis of stride time data in Parkinson’s Disease:Stitching together short gait trials.Plos One,9(1):e85787.https://doi.org/10.1371/journal.pone.0085787.
Kuznetsov N,Bonnette S,Gao J et al.,2013.Adaptive fractal analysis reveals limits to fractal scaling in center of pressure trajectories.Annals of Biomedical Engineering,41(8):1646.
Lei J,Xia Z,Lu W,2016.Long-range correlations of global sea surface temperature.Plos One,11(4),e0153774.https://doi.org/10.1371/journal.pone.0153774.
Li G W,Feng Q,Zhang F P et al.,2014.The soil infiltration characteristics of typical grassland in Babao River Basin of Qilian Mountain.Agricultural Research in the Arid Areas,32(1):60-59.(in Chinese)
Li P,Li Z B,Hao M D et al.,2003.Root distribution characteristics of natural grassland on Loess Plateau.Research of Soil&Water Conservation,10(1):144-843.(in Chinese)
Li X,Cheng G,Liu S et al.,2013.Heihe watershed allied telemetry experimental research(hiwater):scientific objectives and experimental design.Bulletin of the American Meteorological Society,94(8):1145-1160.
Li Y N,Zhao L,Xu S X et al.,2005.An analysis on the effects of coverage change on soil climate of alpine Kobresia humilis meadow.Journal of Arid Land Resources&Environment,19(Suppl.1):127-131.(in Chinese)
Liu M,Bárdossy A,Li J et al.,2012.Physically-based modeling of topographic effects on spatial evapotranspiration and soil moisture patterns through radiation and wind.Hydrology and Earth System Sciences,16(2):357-373.
Liu S M,Xu Z W,Wang W Z et al.,2011.A comparison of eddy-covariance and large aperture scintillometer measurements with respect to the energy balance closure problem.Hydrology&Earth System Sciences,15(4):1291-1306.
Liu W,Xu X,Kiely G,2012.Spatial variability of remotely sensed soil moisture in a temperate-humid grassland catchment.Ecohydrology,5(5):668-676.
Malek E,1993.Rapid changes of the surface soil heat flux and its effects on the estimation of evapotranspiration.Journal of Hydrology,142(1-4):89-97.
Maltese A,Bates P D,Capodici F et al.,2013.Critical analysis of thermal inertia approaches for surface soil water content retrieval.International Association of Scientific Hydrology Bulletin,58(5):1144-1161.
Mandelbrot B B,1991.The Fractal Geometry of Nature.BirkhauserVerlag.
Ni G Y,Zhao P,Zhu L W et al.,2015.Hydraulic responses of whole tree transpiration of Schima superba to soil moisture in dry and wet seasons.Acta Ecologica Sinica,35(3):652-662.(in Chinese)
Ouyang X,Chen D,Duan S B et al.,2017.Validation and analysis of long-term AATSR land surface temperature product in the Heihe River Basin,China.Remote Sensing,9(152).https://doi.org/10.3390/rs9020152.
Parinussa R M,Wang G,Holmes T R H et al.,2014.Global surface soil moisture from the microwave radiation imager onboard the Fengyun-3b satellite.International Journal of Remote Sensing,35(19):7007-7029.
Peng C K,Buldyrev S V,Havlin S et al.,1994.Mosaic organization of DNA nucleotides.Physical Review E,49(2):1685-1689.
Peng H,Zhao C,Liang J,2016.Daily variation of evapotranspiration rate of alpine grassland and analysis of its environmental factors in upper reach of Heihe River.Journal of Water Resources&Water Engineering,27(1):46-53.(in Chinese)
Podobnik B,Jiang Z Q,Zhou W X et al.,2011.Statistical tests for power-law cross-correlated processes.Physical Review E Statistical Nonlinear&Soft Matter Physics,84(2):66-118.
Porporato A,D’Odorico P,Laio F et al.,2002.Ecohydrology of water-controlled ecosystems.Advances in Water Resources,25(8-12):1335-1348.
Riley M A,Bonnette S,Kuznetsov N et al.,2012.A tutorial introduction to adaptive fractal analysis.Frontiers in Physiology,3:371.https://doi.org/10.3389/fphys.2012.00371.
Ross P J,Williams J,Mccrown R L,1985.Soil temperature and the energy balance of vegetative mulch in the semi-arid tropics(1):Static analysis of the radiation balance.Australian Journal of Soil Research,23(4):493-514.
Sadeghi M,Jones S B,Philpot W D,2015.A linear physically-based model for remote sensing of soil moisture using short wave infrared bands.Remote Sensing of Environment,164:66-76.
Shadkhoo S,Jafari G R,2009.Multifractal detrended cross-correlation analysis of temporal and spatial seismic data.European Physical Journal B,72(4):679-683.
Shang L,Lv S,Li S et al.,2010.Effect of soil freezing and thawing on surface radiation over Qinghai-Tibet Plateau.Acta Energiae Solaris Sinica,31(1):12-16.(in Chinese)
Shen S,Ye S,Cheng C et al.,2018.Persistence and corresponding time scales of soil moisture dynamics during summer in the Babao River Basin,Northwest China.Journal of Geophysical Research:Atmospheres,123:1-13.
Song C Q,Cheng C X,Shi P J,2018.Geography complexity:New connotations of geography in the new era.Acta Geographica Sinica,73(7):1204-1213.(in Chinese)
Song C Q,Yuan L H,Yang X F et al.,2017.Ecological-hydrological processes in arid environment:Past,present and future.Journal of Geographical Sciences,27(12):1577-1594.
Song R L,Yu J J,Liu C M et al.,2011.Long-range correlations of soil moisture series with detrended fluctuation analysis.Journal of Hydraulic Engineering,42(3):315-322.(in Chinese)
Stanhill G,Rosa R,Cohen S,2013.The roles of water vapour,rainfall and solar radiation in determining air temperature change measured at Bet Dagan,Israel between 1964 and 2010.International Journal of Climatology,33(7):1772-1780.
Wang D H,Suo Y Y,2014.Cross-correlation and risk measurement between CSI 300 index futures and spot markets in China.Systems Engineering-Theory&Practice,34(3):631-639.
Wang J,Zhao D Q,2012.Detrended cross-correlation analysis of electroencephalogram.Chinese Physics B,21(2):577-580.(in Chinese)
Wang P,Wang J,2012.Detrended cross-correlation analysis:A new method for gait signal analysis.Journal of Biomedical Engineering,29(6):1193-1196.(in Chinese)
Wang Q F,Zhang T J,Peng X Q,2013.Freezing and thawing processes and their impact on ground surface radiation balance in the upper reaches of Heihe river.Journal of Lanzhou University,49(2):182-191.(in Chinese)
Wei J,Dirmeyer P A,Guo Z,2008.Sensitivities of soil wetness simulation to uncertainties in precipitation and radiation.Geophysical Research Letters,35(15):189-193.
Xie X H,Cui Y L,Zhou Y T,2008.Long-term correlation and multi-fractality of reference crop evapotranspiration time series.Journal of Hydraulic Engineering,39(12):1327-1333.(in Chinese)
Yang J,Su K,Ye S J,2019.Stability and long-range correlation of air temperature in the Heihe River Basin.Journal of Geographical Sciences,29(9):1462-1474.
Zhang L,Dawes W R,Walker G R,2001.Response of mean annual evapotranspiration to vegetation changes at catchment scale.Water Resources Research,37(3):701-708.
Zhang L F,Zhang J Q,Zhang X et al.,2017.Characteristics of evapotranspiration of degraded alpine meadow in the Three-River Source region.Acta Agrestia Sinica,25(2):273-281.(in Chinese)
Zhang T,Shen S,Cheng C et al.,2018.Long-range correlation analysis of soil temperature and moisture on A’rou hillsides,Babao River Basin.Journal of Geophysical Research:Atmospheres,123:12606-12620.
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