Detailed and systematic analyses of the magnetic and grain-size properties of the Weihe River sediments were conducted to explore effective proxies that could reflect variations in the runoff. Ultimately, the magnetic parameter χARM/χlf was considered a reliable proxy owing to the close relationship with grain-size fraction larger than 63 μm, with a correlation coefficient of 0.90. By combining accelerator mass spectrometry radiocarbon (AMS 14C) dating, a timescale ranging from 12,900 year BP to the present was established for the section. Accordingly, the reconstructed runoff variations showed that, from 12,900 to 9,600 year BP, the hydrodynamic force of the river was relatively strong, and the runoff was large. From 9,600 to 7,500 year BP, these two parameters varied from weak to strong, and the trend continued to increase from 7,500 to 5,300 year BP. At 5,300 year BP, the sediments shifted from the fluvial to the continental environment, indicating a marked decrease in the runoff. Although the resolution and pattern of this reconstruction were rough, this is a significant analysis among the historical runoff studies based on floodplain sediments, and the results showed trends that to some extent coincide with the variations in the intensity of the East Asian Summer Monsoon.

  • An integrated study of Weihe River sediments using environmental magnetism and particle size analysis.

  • Establishing a chronological framework for the Weihe sedimentary profile using AMS14C dating.

  • The magnetic ratio parameter χARM/χlf is extracted as an effective proxy for indicating river runoff.

  • The results show that the runoff process of the Weihe River is mainly controlled by the East Asian summer winds.

The Holocene climate change is closely related to human activities and can provide a background and a reference for predicting future changes (Sabatier et al. 2017). River sediments preserve important information that can directly reflect variations in the hydrological system and its responses to climatic changes (Aerts et al. 2006; Polyakova et al. 2009; Sun et al. 2016; Liu & Li 2017; Sridhar & Chamyal 2018; Goswami et al. 2019; Ahmad et al. 2020; Tao et al. 2021; AlDahoul et al. 2022). Circulation and hydrological models have shown that climate change has been the main factor influencing runoff variations in the world's major rivers during the past 9,000 a (Aerts et al. 2006). A study of sediments in the Yellow River has revealed that the coarse sand content increased during wet stages and decreased during dry stages, indicating that the grain size of sediments was controlled by runoff changes (Zhou et al. 2012). The higher sand content of the Pearl River in the late Holocene and the increase in the size of sediments were the result of the enhancement of transportation power, which was influenced by the East Asian monsoon (Nan et al. 2014).

Over the last decade, environmental magnetic methods have been widely used to clarify the variation of dry and wet climates in the records of marine and lake sediments, and contributed to significant progress in the study of river sediments in the Yangtze and Pearl rivers (Yang et al. 2008; Li et al. 2011; Tian et al. 2022).In this regard, the mass-specific susceptibility (χlf) and saturation isothermal remanent magnetization (SIRM) parameters are generally used to reflect the content of subferromagnetic minerals in a sample (Thompson & Oldfield 1986). Environmental magnetic analyses have demonstrated that when sediments are fine and the contribution of superparamagnetic (SP) particles is extremely low, χlf can be used to reflect hydrodynamic changes (Jia et al. 2004; Ji & Xia 2007). The reductive dissolution of granular magnetic minerals would also cause a decrease in χlf under water-logging conditions (Huang et al. 2011b; Wang et al. 2012; Wan et al. 2019). As a widely used parameter, χlf is controlled by the type, content, and grain size of magnetic minerals. However, this parameter is limited in river hydrodynamic studies. It is necessary to explore useful parameters to analyze the magnetism of river systems, and their reliability needs to be improved. Compared to other methods, environmental magnetic methods are characterized by stable records and rapid measurement (Oldfield 1994; Kwon et al. 2011). They are widely used to explore the source of sediments, sedimentary dynamics, and the secondary sedimentary environment through the analysis of the magnetic properties of sediments (Nguyen et al. 2016).

The Weihe River has been important for the evolution of the ancient Chinese civilization because it provided abundant water resources to sustain human lives and production; however, abnormal hydrological phenomena such as floods also caused serious disasters (Zha et al. 2009; Huang et al. 2011a, 2011b; Wang et al. 2011, 2012; Wan et al. 2019). Only a few studies have been able to directly describe the runoff changes that occurred in Holocene. Therefore, the reconstruction of the historical sequence of hydrological changes in the Weihe River during this period contributes to integrating the short time series of modern hydrological monitoring records. In this study, which examined a sediment section (Weihe Section, WHS) located near the Linjiacun Hydrological Station in Baojixia in the middle reaches of the Weihe River, a systematic magnetic and grain-size analysis of sediment properties was conducted based on the chronological framework of AMS14C dating and sedimentological theories.

Study area and sampling

The Weihe River flows eastward along the northern foot of the Qinling Mountain and enters the Baoji Gorge, where its middle reaches start. Baoji is located in the southern Loess Plateau and western Guanzhong Basin. River floodplains and terraces are widely distributed along the banks of the Weihe River, which is a transitional geomorphic unit between the Loess Plateau and the Qinling Mountains. The East Asian monsoon generates a temperate semi-humid climate with cold and dry winters and abundant precipitation in summer (Cunjie et al. 2002). Throughout the year, precipitation mainly occurs from July to October, accounting for more than 60% of the annual precipitation (Figure 1).
Figure 1

Comparison between the monthly average precipitation in Baoji City from 1960 to 2016 and the monthly average runoff at the Linjiacun Hydrological Station on the Weihe River.

Figure 1

Comparison between the monthly average precipitation in Baoji City from 1960 to 2016 and the monthly average runoff at the Linjiacun Hydrological Station on the Weihe River.

Close modal
The WHS section (107°4′27″E, 34°22′29″N) was investigated in November 2017 near the hydrological station of Linjiacun, Baoji Gorge (Figure 2(a) and 2(b)). The section is situated on the north bank of the Weihe River. The whole section can be divided into four sections from the bottom to the top (Figure 2(c)): Layer I (219–164 cm), a coarse greenish–grey sand layer with a small amount of gravel; Layer II (163–128 cm), a brownish yellow chalky sand layer with clay inclusions, with darker sediments and inclined lamination in the 144–136 cm section; Layer III (127–90 cm), a medium sand layer with coarser grain sediments compared to Layer II; Layer IV (89–0 cm), aeolian loess.
Figure 2

(a) Topographic map of Baoji and the study area; (b) geographical location of sampling; and (c) photograph showing the 219-cm sampling section.

Figure 2

(a) Topographic map of Baoji and the study area; (b) geographical location of sampling; and (c) photograph showing the 219-cm sampling section.

Close modal

Reeds and vegetation were removed before sampling. A total of 219 samples were collected at 1-cm intervals from the 219-cm thickness section, which consists of fluvial and aeolian sediments. Five of the collected samples were subjected to AMS 14C dating.

Methods

Grain-size measurements

After all samples were naturally dried, 0.4–0.5 g of sample (about 2 g of coarse sand) was weighed and placed in a 500-ml beaker. It was then processed according to the following steps: (1) 10 ml of 10% H2O2 was added and the solution was boiled to remove soil organic matter and easily oxidized salts; (2) after the beaker cooled down, 10 ml of 10% hydrochloric acid was added and the solution was shaken well and boiled to remove the carbonate; (3) distilled water was added to the sample and the solution was left standing for 24 h; (4) 10 ml of 10% sodium hexametaphosphate was added and the beaker was placed in an ultrasonic oscillator (Lu & An 1997). All samples were repeatedly measured three times, and the average value was taken as the experimental result. The experiment was carried out at the Key Laboratory of Physical Geography and Environmental Process of Qinghai Province.

Magnetic measurements

A quantity of 5.5 g of sample was weighed and wrapped tightly with plastic film, and packed into a non-magnetic cubic plastic box before measurements. A Bartington MS2B magnetic susceptibility meter (UK) was used to measure the mass susceptibility (χlf) and frequency susceptibility percentage (χfd%) of the sample. An ACSD-2000T alternating demagnetizer and JR-6A two-speed automatic rotating magnetometer produced by AGICO were used to measure the anhysteretic remanent magnetization (ARM) value and calculate the ARM susceptibility (χARM). The ASCIM-10–30 pulse magnetometer and the JR-6A two-speed automatic rotating magnetometer produced by AGICO were used to measure the isothermal remanent magnetization (IRM) and SIRM. With SIRM being IRM1000mT, the S-ratio was calculated using the following equation: S-ratio = IRM−300mT/SIRM. Other parameters, such as the hard isothermal remanence magnetization (HIRM) = [(SIRM + IRM−300mT)/2], χARM/χlf, and χARM/SIRM, were also calculated (Zhao et al. 2015; Lv et al. 2019). Additionally, a VMS3902 variable gradient magnetometer (Lake Shore, USA) was used to measure the hysteresis parameters and generate first-order reversal curve (FORC) diagrams of representative samples. The κT curve was measured in an argon environment utilizing the AGIGO MFK1FA Kapa bridge multi-frequency magnetic susceptibility meter produced by Czech companies. The mass susceptibility (χlf), frequency susceptibility percentage (χfd%), hysteresis parameters, FORC plot, and κT curve of the sample were tested at the Shaanxi Provincial Key Laboratory of Disaster Monitoring and Mechanism Simulation, Baoji University of Arts and Sciences. ARM, IRM, and SIRM were tested at the Institute of Earth Environment, Chinese Academy of Sciences.

AMS14C dating

Five samples from the WHS were selected for radiocarbon dating (AMS 14C dating). Two samples had unacceptable measurement errors due to their low carbon content, therefore only the other three were used for dating analysis (Table 1). Radiocarbon dating samples were determined by an NEC accelerator mass spectrometer and Thermo Isotope Ratio Mass Spectrometer (IRMS, in Beta Analytic Inc, USA). The δ13C content was the value of the sample itself. The obtained conventional radiocarbon age was corrected by Libby half-life calculation and total isotope fractionation, with an additional Gregorian year correction (standard error of ±30 a) being included based on the IntCal 13 calibration dataset.

Table 1

AMS14C dating results for the WHS section

Depth (cm)Laboratory number14C age (yr. BP)Adjusted calendar age (cal. yr. BP)Average age (yr. BP)
45 Beta-529359 3,610 ± 30 3,985–3,838 3,912 
75 Beta-526304 4,300 ± 30 4,892–4,829 4,861 
161 Beta-526303 8,510 ± 30 9,538–9,478 9,508 
Depth (cm)Laboratory number14C age (yr. BP)Adjusted calendar age (cal. yr. BP)Average age (yr. BP)
45 Beta-529359 3,610 ± 30 3,985–3,838 3,912 
75 Beta-526304 4,300 ± 30 4,892–4,829 4,861 
161 Beta-526303 8,510 ± 30 9,538–9,478 9,508 

Chronological framework

The timescale of the section was established using linear interpolation. Considering the similar deposition rate of the same lithological sediments, the age of the boundary between the fluvial facies and the aeolian loess (at a depth of 89 cm) was determined as 5,300 year BP via extrapolation. By combining this age with the dating results at 161 cm, the age of the river sediment bottom was estimated at 12,900 year BP (Figure 3). Therefore, it is speculated that the sedimentary sequence of the WHS river sediments is from 12,900 to 5,300 year BP, and that of aeolian loess is from 5,300 year BP to the present.
Figure 3

AMS14C age of the WHS and fitted age curve with depth.

Figure 3

AMS14C age of the WHS and fitted age curve with depth.

Close modal

Grain-size variation

The grain-size analysis showed that the percentages of fractions smaller than 4 μm, between 4 and63 μm, and larger than 63 μm were 0.04–19.77%, 1.92–78.54%, and 6.28–97.95%, respectively (Figure 4(a)–4(c)). Moreover, the particle size percentages of fractions that were smaller than 4 μm or ranged between 4 and 63 μm and varied similarly with depth. Layer I and Layer III were the low-value areas of the section, and the highest value of 141 cm appeared in Layer Ⅱ. 2161;. In addition, the sediment percentages presented an increasing trend in Layer IV. The vertical distribution of the particle size percentage of fractions larger than 63 μm showed the opposite pattern. Additionally, the content of coarse fraction was relatively higher in the deeper layer of the section. The average grain size was used to reflect the average kinetic energy of the sedimentary medium (Folk et al. 1970). The average grain size of the WHS section was 18.72–747.28 μm, and the average value was 329.58 ± 182.90 μm (Figure 4(d)). The variation pattern of mean grain size in the vertical direction was similar to that of the percentage of sand fraction (p < 0.01). This indicated that the size of the sediment in the section was relatively coarser in the bottom layers and finer in the top layers, which meant that the kinetic energy of the deposition medium decreased gradually (Li et al. 2007). The sorting coefficient (S0) represents the uniformity of the sediment particle size and reflects the concentration and dispersion of the percentage content of each particle size fraction in the sample (Folk et al. 1970). The sediment sorting coefficient of the section (Figure 4(e)) ranged between 0.02 and 0.48, with an average of 0.25 ± 0.10. More than 80% of the samples presented a good sorting ability, indicating that the percentage distribution of sediments in this section was relatively concentrated, and the depositional environment was relatively stable.
Figure 4

Vertical variation of grain size in the WHS.

Figure 4

Vertical variation of grain size in the WHS.

Close modal

Grain-size distribution

Eight representative samples from different layers were selected to illustrate the results of grain-size analysis. All the grain-size distribution curves of the WHS section (Figure 5) showed approximately single-peak structures, with all main peaks being narrow and steep. The sedimentary environment of the Weihe River was stable and presented good sorting properties. The peak grain size of the representative sample (Figure 5) was concentrated in three segments, around 2–3 μm, 20–40 μm, and 200 μm. Among them, the main grain size peaks in Layer I (187 and 211 cm) and Layer III (117 cm, 123 cm) were distributed around 200 μm, with the volume percentage ranging from 8 to 11%. The presence of fine-grained tails in the 20–40 μm range indicates that the provenance of the two layers was similar, but the percentage of particulate fraction differed due to other factors, such as river hydrodynamics. The main grain-size peaks in Layer II (53 and 77 cm) and Layer IV (139 and 155 cm) were concentrated within 20–40 μm, with the volume percentage in the range of 4–7%. A faint fine-grained tail was detected at 2–3 μm (Figure 5). This indicates that the sediment sources of the two layers were partially similar. However, a coarse-grained tail was present in the sediment curve of Layer II at 200 μm, indicating that this layer was composed of a large amount of surface soil material and a small amount of the riverbed sand. Therefore, the sediments of Layer II were relatively fine, mainly composed of surface erosion materials around the river. This suggests that the river hydrodynamic force of the sediments of Layers I and III was stronger than that of Layer Ⅱ.
Figure 5

Grain-size frequency distribution curves of eight representative samples from the WHS.

Figure 5

Grain-size frequency distribution curves of eight representative samples from the WHS.

Close modal

Magnetic properties

The χlf parameter mainly reflects the enrichment of magnetic minerals (Maher & Thompson 1999). Its range and average values in the WHS section were 25.65–295.25 × 10−8 m3·kg−1 and 67.85 ± 50.92 × 10−8 m3·kg−1, respectively. The SIRM is mainly contributed by ferrimagnetic minerals and incomplete antiferromagnetic minerals and is not affected by paramagnetic and diamagnetic materials (Thompson & Oldfield 1986). This parameter had an average value of 588.57 ± 287.53 × 10−5 Am2·kg−1 (Figure 6(b)), and the coefficient of correlation with χlf was 0.52 (p < 0.01), suggesting that the main magnetic minerals were ferrimagnetic and incomplete antiferromagnetic minerals. The S-ratio indicates the relative content of low-coercivity and high-coercivity magnetic particles, such as ferrimagnetic minerals and incomplete antiferromagnetic minerals in the sample (Evans & Heller 2003). The S-ratio range was 58.96–97.86%, and the average was 83.75 ± 6.00% (Figure 6(c)). This suggested that the samples were dominated by ferrimagnetic minerals with low coercivity. HIRM indicated the content of incomplete antiferromagnetic minerals with high coercivity in the sample (Thompson & Oldfield 1986), with an average value of 44.26 ± 20.70 × 10−5 Am2·kg−1, showing that the samples contained some incomplete antiferromagnetic minerals with a high coercivity (Figure 6(d)). The magnetic domain is one of the main factors reflecting the magnetic properties of river sediments (Oldfield 1994). The common domains are the single-domain (SD), where magnetic particles consist of only one domain; the multi-domain (MD), where the magnetic particles consist of several domains; the pseudo-single-domain (PSD), which can be defined as an intermediate domain between the SD and MD; and the SP domain, where particles are between 20 and 25 nm in size; this domain has strong internal thermal disturbances and cannot be used to record remanent magnetism. The magnetic parameters representing the magnetic domains χfd%, χARM, χARM/SIRM, and χARM/χlf were highly correlated (r > 0.81, p < 0.01). The values were prominent at 141 cm, and obvious valleys were observed in Layers I and III (Figure 6(e)–6(h)). χfd% and χARM mainly indicates the contribution of fine-grained magnetic particles to χlf, χfd% reflects the concentration of fine viscous SP particles in the sample, and χARM describes the content of ferromagnetic minerals in a stable single domain (SSD) and fine-grained PSD (David & Özdemir 1998). The variation ranges of the χfd% and χARM (Figure 6(e) and 6(f)) were 0.22–9.36% and 35.26–612.07 × 10−8 m3·kg−1, respectively. Dearing et al. (1997) used the χfd% for semi-quantitative estimation of the SP particle concentration model and suggested that, when χfd% is less than 2%, there are no SP particles. The χfd% values of the sediments in Layers I and III were less than 2%, and χARM was also extremely low. It is therefore inferred that the magnetic particles at these two stages were relatively coarse, free of SP particles, and contained few SSD particles. The χARM/SIRM and χARM/χlf values describe the size of magnetic mineral crystal grains, with high values suggesting the presence of SSD particles, while low ones indicating the coarser MD particles. However, χARM/SIRM was not affected by SP particles (Heider et al. 1996). The ratio parameters of χARM/SIRM and χARM/χlf were in the range of 11.58–63.96 × 10−3 mA−1 and 0.39–11.43, respectively (Figure 6(g) and 6(h)). This indicated that the magnetic domain sizes of the magnetic minerals varied in different layers of the section. The low values in Layers I and III proved that there was a large number of MD particles in the sediments at these two stages.
Figure 6

Vertical variations of the magnetic parameters in the WHS.

Figure 6

Vertical variations of the magnetic parameters in the WHS.

Close modal

Magnetic properties of representative samples

κT curves

The magnetic susceptibility of the heating curves obtained for the representative samples (Figure 7(a)–7(d)) was greatly reduced at 580 °C and an inflection point appeared. Thereafter, the decrease in magnitude became much smaller between 580 and 700 °C. This shows that the main magnetic-carrying mineral in this section was magnetite and it contained a small amount of hematite (Liu et al. 2012). The susceptibility values of the heating curves of the 53 and 139 cm samples (Figure 7(a) and 7(c)) showed a slight downward trend between 300 and 450 °C, which is probably attributed to the conversion of maghemite to hematite during the heating process (Liu et al. 2005; Deng et al. 2007). The magnetic susceptibility of all representative samples (Figure 7(a)–7(d)) increased at 450–550 °C, and reached the peak of the curve around 550 °C, reflecting the transformation of weakly magnetic minerals to strongly magnetic minerals during the heating process caused by the formation of new magnetite in the sediments containing unstable iron silicate and clay minerals during the heating process (Liu et al. 2012). The higher cooling curve compared to the heating curve also suggested the formation of new strong magnetic minerals.
Figure 7

Temperature dependence of the magnetic susceptibilities (κT curves) of representative samples obtained from the WHS. Thick and thin lines represent heating and cooling curves, respectively.

Figure 7

Temperature dependence of the magnetic susceptibilities (κT curves) of representative samples obtained from the WHS. Thick and thin lines represent heating and cooling curves, respectively.

Close modal

Hysteresis loops and FORC diagrams

All representative samples of the WHS showed obvious slender-waist changes after paramagnetic correction (Figure 8(a)–8(d)), and the hysteresis loops formed a closed curve at about 0.5 T, indicating that ferrimagnetic minerals were dominant. The ratio of the residual magnetization to magnetization (Mrs/Ms) ranged from 0.06 to 0.18, and the ratio of residual magnetization to coercivity (Bcr/Bc) ranged from 2.93 to 6.63, while the Bcr values of all samples were below 50 mT. This indicates that the main magnetic-carrying minerals were coarse-grained ferrimagnetic minerals.
Figure 8

Hysteresis loops (a–d) and FORC diagrams (e–h) of representative samples in the WHS.

Figure 8

Hysteresis loops (a–d) and FORC diagrams (e–h) of representative samples in the WHS.

Close modal

The FORC diagram can be used not only to determine the coercive force distribution of magnetic minerals and the strength of the interaction between magnetic particles but also to distinguish the types and domains of magnetic minerals (David & Özdemir 1998). The horizontal axis indicates the coercivity of the magnetic mineral, while the vertical axis indicates the interaction of magnetic particles. The WHS section samples presented large openings along the longitudinal axis, and the central coercivity was less than 0.02 T, showing the obvious characteristics of coarse-grained MD magnetic minerals (Figure 8(e)–8(h)).

King and Dearing diagrams

The King plot of the WHS (Figure 9(a)) showed that the magnetic particles of Layer I (219–164 cm) and Layer III (127–90 cm) were coarse, and they gradually became coarser as the magnetic mineral concentration increased, indicating that primary coarse-grained magnetic minerals contributed more substantially to χlf. Layer II (163–128 cm) was gradually reduced with the increasing concentration of magnetic minerals, indicating that the increase of χlf and χARM was related to the formation of fine-grained magnetic particles. The particle size of the magnetized minerals in Layer IV (89–0 cm) was mostly between 0.1 and 1 μm. The Dearing diagram (Figure 9(b)) showed that the magnetic minerals in the WHS section were located in the range of MD + PSD and coarse-grained SSD. The contribution of MD + PSD particles was about 90%, and the proportion of SP particles in magnetic minerals was less than 10%. The deposits of Layers I and III belonged to the MD + PSD magnetic domain region. The χfd% distribution range of Layers II and IV was approximately between 2 and 8% and was located in the magnetic domain region of the coarse-grained SSD, whose contribution to magnetism was about 50–90%. This shows that the sediments of Layers I and III were minimally affected by the fine-grained SP particles. For χlf, it was mainly contributed by the MD + PSD coarse particles. In other words, the content of magnetic minerals was provided by the primary coarse particles, and there was no sedimentation after deposition. The particle size of riverine clastic sediments and the percentage of each fraction size are independent of mechanical loss during transportation or secondary dissolution after burial (Hu 2017).
Figure 9

King diagram (χlf vs. χARM) (a) and Dearing diagram (χARM/SIRM vs. χfd%) (b) of the WHS samples.

Figure 9

King diagram (χlf vs. χARM) (a) and Dearing diagram (χARM/SIRM vs. χfd%) (b) of the WHS samples.

Close modal

Relationships among grain size, magnetic parameters, and runoff changes

The magnetic properties of river sediments are related to the source of sediments, the depositional environment, and depositional dynamics (Oldfield 1994; Zheng et al. 2006; Kwon et al. 2011; Nguyen et al. 2016). Therefore, analyzing the magnetic characteristics of sediments in the WHS is of great significance for reconstructing the past environmental changes in the Weihe River Basin. The correlation analysis between χfd% and χARM indicated the presence of finer particles, and the percentage of fine fraction can indirectly reflect the secondary depositional environment of the section. The correlation coefficients of the magnetic parameters χfd% and χARM of the WHS with the grain-size percentage of the fraction smaller than 4 μm were 0.83 and 0.80 (p < 0.05), respectively, and the correlation coefficients of the grain-size percentage of the 4–63 μm fraction were 0.77 and 0.69 (p < 0.01), respectively. These results show that the secondary environment had less influence on the section. Because the fine-grained magnetic minerals were preferentially dissolved in the early diagenesis process (Karlin & Levi 1983; Peng et al. 2014), there was no high correlation between χARM and the grain-size percentage of fine-grained fraction. Overall, the sediments of the WHS were minimally affected by the secondary environment, and the difference in magnetic properties was mainly controlled by the content of primary magnetic grains, which depends on the hydrodynamic force of the river.

Previous studies have shown that the magnetic minerals in river sediments are usually coarse-grained MD ferrimagnetic minerals and that the χfd% value is below 2% (Lu et al. 2000). The WHS sediments of Layers I and III were mainly represented by magnetite and maghemite with MD and PSD particles (Figures 6, 8, and 9). Most of the samples presented χfd% values below 2%, indicating that the magnetic minerals in the sediments of Layers I and III were mostly bedrock clastic particles originating from river bottom bedrock or riverbanks, indicating that the flow of the Weihe River had a strong hydrodynamics during this period. The average χfd% value in the sediment of Layer II was 3.48 ± 1.25% (which is similar to the value of 4.20% observed in Layer IV) (Figure 6(e)), indicating that SP particle content was relatively high, and it presented the characteristics of aeolian loess. The varying trends of the κT curve of the Layers II and IV sediments were similar (Figure 8), and a small increase was detected between 450 and 550 °C, indicating that clay minerals generated new ferromagnetic minerals during the heating process. At the same time, the frequency distribution curve of particle size (Figure 5) indicated that the sources of Layers II and IV were similar. Therefore, the magnetic-bearing minerals in the sediments of these two layers may have been provided by the surrounding surface particles eroded by the river, indicating that the hydrodynamic force of the Weihe River was relatively weak during this period.

The correlation between the particle size percentage of fractions less than 4 μm, 4–63 μm, and larger than fraction 63 μm in the WHS section and magnetic parameters such as χlf, SIRM, χfd%, χARM, χARM/SIRM, and χARM/χlf (Figure 10). The results show that the correlation between the percentage content of each particle size fraction and the magnetic parameters representing the concentration is much lower than that of the magnetic parameters representing the magnetic grain size. The correlation between the percentage content of each particle size fraction and the magnetic parameter of concentration was much lower than that of the magnetic parameter of grain size. The correlation coefficients of χfd% and χARM with the percentage size of fractions smaller than 4 μm were 0.94 and 0.89 (p < 0.05), respectively, indicating that most SP and SSD magnetic particles were less than 4 μm in size. The correlation coefficients for χARM/SIRM and χARM/χlf were in the range of 0.76–0.96 (p < 0.05) for the fine fraction and 0.79–0.90 (p < 0.05) for the coarse fraction, indicating that the PSD and MD magnetic particles were concentrated in size percentages of larger than 63 μm fraction. At the same time, the correlation coefficient between the percentage size of larger than 63 μm fraction and χARM/χlf was 0.90 (p < 0.05), the highest correlation. Our study considered that sediment size can reflect the historical changes in river runoff. Generally, when the runoff increases, the hydrodynamic force of the river, which can carry coarser particles, increases accordingly. At present, the percentage of fractions with particle sizes larger than 63 μm is often used as a particle size indicator of runoff variation (Zhou et al. 2012; Nan et al. 2014). In addition, the distributions of PSD and MD magnetite were concentrated in the coarse sand (Layer I) and medium sand (Layer III), while SP and SSD magnetic particles presented a higher content in Layers II and IV, where the clay content was also higher (Figure 11). This shows that the size of magnetic particles is sensitive to changes in river runoff, and higher PSD and MD magnetic particle content indicate a stronger hydrodynamic force and larger runoff. Therefore, the magnetic parameter χARM/χlf can be used as an alternative indicator to analyze the changes in river runoff.
Figure 10

Correlation analysis of the percentage content of different grain-size fractions and magnetic parameters.

Figure 10

Correlation analysis of the percentage content of different grain-size fractions and magnetic parameters.

Close modal
Figure 11

Correlation between χARM/χlf and the percentage of grain size of fraction larger than 63 μm.

Figure 11

Correlation between χARM/χlf and the percentage of grain size of fraction larger than 63 μm.

Close modal

History of runoff changes during the Holocene recorded in the Weihe River sediments

Both the sediment sorting coefficient (Figure 4(e)) and the grain-size distribution curve (Figure 5) show that the depositional environment of the WHS has been relatively stable since 12,900 year BP. By combining χARM/χlf, the grain-size percentage of fraction larger than 63 μm, and the age framework, it was possible to reconstruct the process of runoff variation of the Weihe River during the Holocene. For Layer I (219–164 cm; 12,900–9,600 year BP), the average grain-size percentage of fraction larger than 63 μm was 96.05 ± 2.59%, which represented the peak value across the section. The average value of χARM/χlf was 0.95 ± 0.28, and it presented a stable low-value distribution (Figure 12(a) and 12(b)), indicating that the sediment particle size was relatively coarser. The magnetic particles were mainly MD and PSD particles, distributed in the riverbed or coastal bedrock, and the river exhibited a relatively stronger hydrodynamic force. This suggested that the Weihe River had a large runoff during this period and that the possibility of flooding would have been considerably high. In Layer II (163–128 cm; 9,600–7,500 year BP), the grain-size percentage of fraction larger than 63 μm was significantly lower with an average of 43.82 ± 25.26%. The χARM/χlf value (average, 4.57 ± 2.73) presented a sharp peak (Figure 12(a) and 12(b)). The grain size of the sediment in Layer II was significantly smaller than that in Layer I, the magnetic properties were mainly dominated by SSD particles, and the grain size content of coarse fraction was significantly reduced. This was due to the surrounding surface soil material carried by surface runoff that entered the Weihe River and was deposited on both banks. At the depth of 144–136 cm, both the χARM/χlf and the particle size percentage curves of fractions larger than 63 μm showed an obvious narrow peak, indicating that the particle size content of the coarse fraction and the magnetic particle size reached the lowest value. This revealed that between 8,500 and 8,000 year BP, the runoff of the Weihe River entered a historically low stage. For Layer III (127–90 cm; 7,500–5,300 year BP), the average grain-size percentage of fraction larger than 63 μm was 87.17 ± 4.35%, and the average χARM/χlf was 1.41 ± 0.26 (Figure 12(a) and 12(b)). The magnetic properties of the sediments were mainly attributed to the MD and PSD particles present in the bedrock fragments (Figure 12(a) and 12(b)), and the river had relatively stronger hydrodynamics. Floodplain height is an important factor affecting the particle size distribution of river sediments. For a certain river reach, sediments carried by the same volume of runoff are finer in size on high river floodplains, and only when the river runoff is large enough, and has a strong hydrodynamic force, the floodplain can continue to receive sediments (Zhao & Li 2006; Zhou et al. 2015). The sediment deposit location of Layer III was significantly higher than that of Layer I by 37–129 cm. Simultaneously, the sediments of Layer III gradually increased from 78.30% to 96.34%. Therefore, even though there was no great difference in sediment sand content between Layers I and III, the river runoff in the latter was significantly larger when the difference in deposition height was large. Simultaneously, during the Holocene, the Baoji section of the Weihe River was in a state of downward erosion (Liu et al. 2011). Although the downward erosion rate was relatively low, the third layer of the river floodplain was slightly elevated when it was formed. This showed that river runoff was significantly larger during the formation of the sediments of Layer III than during the formation of those of Layer I. In regard to Layer IV (89–0 cm; 5,300–0 year BP), the average grain-size percentage of fraction larger than 63 μm was 59.67 ± 12.08%, with an average χARM/χlf value of 4.07 ± 1.26 (Figure 12(a) and 12(b)). The magnetic carriers were mainly magnetite and maghemite, with the average particle size concentrated on the SSD range, which presented obvious aeolian loess characteristics. This means that the river facies deposition on the WHS was completed, the river runoff was greatly reduced, and the WHS was exposed to the riverbed.
Figure 12

The comparison between the runoff change of Weihe River recorded by the WHS section and other regional climate signals. (a, b) Records of χARM/χlf and grain-size percentages of fraction larger than 63 μm in the WHS (this study); (c) reconstruction of precipitation from the CH09B core of Gonghai Lake (Chen et al. 2015). The shaded light blue bars indicate periods when the monsoon was relatively strong. The dotted line indicates the boundary between river sedimentation and loess sedimentation. Please refer to the online version of this paper to see this figure in color: http://dx.doi.org/10.2166/wcc.2023.491.

Figure 12

The comparison between the runoff change of Weihe River recorded by the WHS section and other regional climate signals. (a, b) Records of χARM/χlf and grain-size percentages of fraction larger than 63 μm in the WHS (this study); (c) reconstruction of precipitation from the CH09B core of Gonghai Lake (Chen et al. 2015). The shaded light blue bars indicate periods when the monsoon was relatively strong. The dotted line indicates the boundary between river sedimentation and loess sedimentation. Please refer to the online version of this paper to see this figure in color: http://dx.doi.org/10.2166/wcc.2023.491.

Close modal

Runoff changes dominated by variations of the East Asian summer monsoon

There are many factors influencing the formation of river floodplain sediments, but all of them are reflected by the river hydrodynamic force that affects the grain composition of sediments (Zhao & Li 2006; Zhou et al. 2015). River kinetic energy is a function of runoff flux and flow velocity. The kinetic energy of the flow rate is directly proportional to the runoff and velocity (Xie 2000). As precipitation increases, river runoff and hydrodynamics also increase along with the content of coarse particles carried by the runoff (Zhao & Li 2006; Zhou et al. 2015). The most sensitive factor affecting runoff in the Weihe River was precipitation (Dykoski et al. 2005; Huang et al. 2009). From 1960 to 2016, the river's monthly average runoff and precipitation changed simultaneously (r, 0.91). When the summer monsoon hits northern China from July to October (Huang et al. 2009; Li et al. 2013), the runoff and precipitation of the river attain the peak values of the year at the same time, accounting for more than 60% of the average annual runoff and precipitation (Figure 1). Due to the relatively stable geological tectonic movements affecting the Guanzhong Basin during the Holocene, the downcast rate of the Weihe River in Baoji was 0.099 m/k a (r2 = 0.93) (Liu 2007; Liu et al. 2011), so the influence of such movement on the sedimentary section of the section was relatively small. Simultaneously, the WHS section was about 3 km away from the starting point of the middle reaches of the Weihe River, while the river's upper reaches consisted mostly of bedrock canyons, and the riverbed width was only slightly affected by erosion. Therefore, the upstream riverbed width had a weak influence on the section granularity characteristics of the river runoff. As a result, the climate model of the increase/decrease of runoff caused by the increase/weakening of monsoon precipitation in the western part of the Guanzhong Basin was also found in the Holocene. The historical record of the WHS reconstruction can reflect the main changes in the runoff of the Weihe River during the Holocene.

During the 12,900–9,600 year BP, 9,600–7,500 year BP, 7,500–5,300 year BP, and 5,300–0 year BP periods, the Weihe River runoff showed a large–small–large–small variation in trend (Figure 12(a) and 12(b)). The East Asian summer monsoon repeatedly switched from strong to weak, which is supported by previous studies of pollen analysis from Gonghai Lake (Chen et al. 2015) (Figure 12(c)) and the Xindian sections (Shang & Li 2010) in the Loess Plateau. Both areas showed that the monsoon activity gradually became stronger in the early and middle Holocene, and was affected by a weak monsoon event on the centennial scale between 8,500 and 8,000 year BP. By reconstructing the history of the East Asian summer monsoon from the runoff of the Weihe River, it is inferred that the mid-Holocene was the largest monsoon, which is consistent with other geological records in the Guanzhong Basin. The paleoclimate reconstruction in Xi'an area (Sun et al. 2016) found that the average rainfall between 6,200 and 5,600 year BP was 278 mm higher than the present-day instrumental precipitation. The δ13C analysis of millet phytoliths showed that the maximum average summer rainfall between 6,100 and 5,500 year BP in the Guanzhong Basin was 36% higher than that in the present time (Yang et al. 2016). The paleo-flood remains of the period between 6,000 and 5,000 year BP were found in the loess-paleosoil section near the Qianhe River (Wang et al. 2012) and Beiluo River (Zha et al. 2009), both of which were tributaries of the Weihe River. At the same time, the results of Holocene carbon dust and black carbon concentration studies in the western Guanzhong area (Tan et al. 2016) indicated that the wildfires in the mid-Holocene frequency in the midterm were much lower than those in the early and late periods, indicating that the effective humidity in the mid-Holocene was relatively high. These pieces of evidence indicated that during the mid-Holocene abundant precipitation was brought to the Guanzhong Basin by the East Asian summer monsoon, which supported the development of paleosol in the Loess Plateau (Tang & He 2004) and the prosperity of the Yangshao culture in the Neolithic Age (Pang & Huang 2003). The pollen analysis results obtained from the Xindian section about 80 km east of the WHS (Shang & Li 2010) show that the Loess Plateau was characterized by a forest and grassland distribution pattern between 7,700 and 5,500 year BP, and the climate reached the optimal stage in the Holocene. Similar phenomena have also been recorded in other regions (Chen et al. 2016; Yang et al. 2019). Precipitation in the fringe area of the monsoon is sensitive to climate change and is controlled by the migration of the East Asian summer monsoon (Xiao et al. 2004; Chen et al. 2015, 2016; Jiang et al. 2020). By reconstructing the paleoclimatic history of Dali Lake (Jiang et al. 2020), Daihai Lake (Xiao et al. 2004), and Gonghai Lake (Chen et al. 2015) (Figure 12(c)), it is concluded that the peak period of monsoon precipitation is between 7,800 and 5,300 year BP. In this period, the water level of the lakes reached its peak and the vegetation coverage was the largest, with broad-leaved species being the most abundant. The response of the Weihe River runoff to the East Asian summer monsoon and the synchronization of regional climate events further indicate that the river's runoff was sensitive to variations of the monsoon, and the maximum monsoon precipitation occurred in the middle of the Holocene.

The analysis of the magnetic and grain-size properties of sediments obtained from the Weihe River showed that the magnetic minerals in these sediments included ferrimagnetic minerals, magnetite, maghemite, and a small amount of antiferromagnetic minerals. PSD and MD particles were the main fractions in the sediments of Layer I and Layer III, respectively. Comparative analysis of the magnetic and grain-size parameters showed that χARM/χlf is a sensitive and effective proxy in reflecting runoff changes. Based on AMS14C dating and sedimentological theories, a timescale from 12,900 year BP to the present was established for the WHS. The reconstruction of runoff changes based on the above parameters indicated a trend in variations that was to some extent similar to that observed in several records of the East Asian Summer Monsoon obtained from other archives, which implies an important role of this monsoon in influencing runoff in the Weihe River.

We thank each anonymous reviewer and editor for their constructive comments and improved the paper. This research was supported by the Youth Innovation Team of Shaanxi Universities (Regional Climate Change and Human Civilization Evolution Innovation Team). This research was supported by the National Natural Science Foundation of China (Study on the Influence of Climate and Environment Changes on Ancient Human Activities in the Early and Middle Holocene in the Western Guanzhong Basin; Grant No. 41871147).

All relevant data are included in the paper or its Supplementary Information.

The authors declare there is no conflict.

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