Introduction

Tropical cyclones (TCs) are one of the most catastrophic atmospheric events, characterized by strong winds, heavy rainfall and storm surges. Intense TCs cause devastating losses to human life and property, particularly in the coastal regions of the most active TC basins, such as the northwestern Pacific and North Atlantic1,2,3. The question of how TC activity will respond to future climate warming is increasingly drawing the attention of science community, although significant uncertainty still remains (e.g., refs. 4,5,6,7). Observational records (e.g., refs. 8,9,75. Interestingly, all three factors that we proposed to influence the shift of TC intensity belong to these tip** elements of the climate76,77,78. It is suggested that ENSO, AMOC, and Saharan dust may have crossed a similar tip** point around 1485 ± 45 yr BP, as their magnitudes have not returned to their pre-shift levels since then. This may have resulted in their influence on TC intensity exceeding that of temperature by triggering changes in the oceanic and atmospheric state within the tropical Pacific the region where TCs originate. These findings highlight the importance of understanding TC intensity variability over long time scales and under different climatic conditions. Further research is needed to evaluate TC intensity variability at different time scales in different basins and globally, as well as its connection with climate tip** elements. Additionally, the instrumental-calibrated technique offers the possibility of predicting future trends in TC activity under changing climate conditions. It enables the assessment of changes in TC activity from a long-term perspective, allowing for the discrimination between natural variability and anthropogenic changes in TC activity. We expect this technique to serve as a starting point for more accurate and quantitative analysis of paleotempestology and other paleoclimatology on a global scale.

Methods

Study site and field sampling

The study focuses on the Jiangsu tidal flats and Zhejiang-Fujian mud belt (Fig. 1), located on the eastern coast of China, as these areas frequently intersect with TC paths. Core ZM01 (28°41.4′ N, 122°24.6′ E) is 5.08-m-long core was collected from the Zhejiang-Fujian mud belt in 2018 CE (Fig. 1a). Core YC01 (33°23.2′N, 120°12.3′E) and core SA (33°34.7′N, 120°33.3′E) are 39.75-m-long and 1.93-m-long cores, respectively, recovered from the Jiangsu coastal plain and modern tidal flats in 2014 CE (Fig. 1b). Additionally, two sections of the Jiangsu modern tidal flats (Fig. 1b) were surveyed in 2008 CE (section P1) and 2009 CE (section P2) using a Magellan Z-MAX GPS-RTK (a differential GPS system with a dynamic accuracy of 10 mm ± 0.5 ppm), resulting in high-precision positional data. Thirty-seven surficial sediment samples were also collected along these two sections.

Laboratory analysis

Cores ZM01, YC01, and SA were sliced into intervals of 1 cm, 4 cm, and 1 cm, respectively. All subsamples from the three cores and thirty-seven surficial sediments were measured for grain size using a laser Malvern Mastersizer 2000 with a duplicate measurement error of less than 3%. Grain size parameters were then calculated from the distribution curves using moment statistics. The age model for cores ZM01, YC01, and SA, presented by Yang et al.30,45, were established using two isotopic dating methods. Twenty-one and thirteen samples from the top of core ZM01 and core SA were selected for 210Pb analysis to quantify the sedimentation rate. The centennial-to-millennial scale chronologies of cores ZM01 and YC01 were constrained using eight and seven 14C-Accelerator Mass Spectrometry (14C AMS) dates, respectively. The top 1 m of sediments in core YC01 consists of yellowish-brown sandy silt, belonging to the supratidal zone, which was insensitive to recording TC events and therefore was not included for analysis.

Determination of past TC intensity

Sedimentary systems in shelf-coastal environments, such as tidal flats and shelf mud belts, require different methods to delimit the intensity of TC-event-beds79. To address this issue and enable direct quantitative comparisons between instrumental and long-term TC records, we have developed two TC intensity indices for the Jiangsu tidal flats and Zhejiang-Fujian mud belt using a technique that combines instrumental and sedimentary records. This technique allows us to calibrate long-term records of past TC intensity against high-resolution instrumental TC records.

Jiangsu tidal flats

For the Jiangsu tidal flats, Yang et al.30 presented a 2 kyr continuous activity record of TCs by identifying 36 coarse-grained event beds in core YC01. However, this work focused on revealing the frequency of TC-event-beds without quantifying the intensity of individual event beds. The magnitude of past TC-event-beds can be reproduced using a simple A-S model31,80,81. The A-S model is based on the balance between longitudinal sediment transport by the flow and gravity-driven sediment settling through the water column. It assumes that the distance that grains are advected longitudinally from the top of the flow to the bed depends on flow depth, flow velocity, and settling velocity82:

$$\frac{h}{{w}_{s}}=t=\frac{{x}_{L}}{U}$$
(1)

where h is flow depth during TC-induced flooding, ws is the still–water particle settling velocity, t is settling time, and xL is the advection length scale for particles of a given grain size. U is depth-averaged flow velocity and can be calculated using the equation in Moore et al.82. For a given grain size and shape, ws can be calculated using equation in Ferguson and Church83. In this analysis, we determined the settling velocity for the D90 size class (defined as the grain size for which 90% of sample has smaller grain sizes) as it best reflects the maximum grain size transported by flooding events associated with TCs. The availability of coarse sand on the offshore sand ridges84 presumably allows the assumption that D90 is controlled by flow.

The A-S model depends on the supercritical flow occurring along the backside of a barrier (i.e., Froude number Fr = U/(gh)0.5 = 1, g is acceleration due to gravity), but could theoretically apply to at any transition to supercritical flow, including tidal flat environments42,85. Woodruff et al.31 assumed a constant xL during storm surges to yield a unique solution for quantifying the flow depth over a barrier during flooding. This assumption is appropriate for environments where the topographic or bathymetric changes are insignificant over time, such as coastal lagoons and lakes32,40,42. However, in meso- to macro-tidal settings like Jiangsu tidal flats, water depths are variable, and sediment grain sizes differ in different parts of the tidal flats86. Therefore, a constant xL is not suitable for calculating the flow depth during flooding in different parts of the tidal flats. As a result, Eq. 1 requires an additional water depth constraint to estimate the flow depth during flooding for different parts of the tidal flats (Supplementary Fig. 2).

To enhance the A-S model, we hypothesized that transport distance is dependent on water depth, as different parts of the tidal flats have varying xL. By analyzing the TC-event-beds identified in core SA and the corresponding instrumented flow depths during TC-induced flooding87,88, we were able to determine the transport distances for different parts of the Jiangsu tidal flats. Taking into account sea level variations, we can reconstruct the flow depth-based TC intensity (TCI_fd, m) recorded in core YC01 using the improved A-S model that incorporates different transport distances. The model can be expressed as follows:

$${\rm{TCI}}\_fd={\left(\frac{{{x}_{L}}^{2}{{w}_{s}}^{2}}{g}\right)}^{1/3}$$
(2)

Zhejiang-Fujian mud belt

Yang et al.45 developed a simple yet effective method for core ZM01 from the Zhejiang-Fujian mud belt by correlating sediment grain size with instrumental records of TC-induced wind speed. By combining the instrumental and sedimentary records, they discovered a significant and positive correlation (R = 0.86, P < 0.001, n = 35) between the content of the sensitive coarse-grained fraction (i.e., >63 μm fraction; sand content) in core ZM01 and the annual maximum wind speed of TCs that impacted the Zhejiang coast (120–124°E, 26–30°N) from 1984 to 2018 CE (Fig. 2a). However, the reconstruction of Yang et al.45 based only on the sand content cannot directly quantify the intensity changes of TCs over the last 2000 years. To address this issue, we developed an index called the wind speed-based TC intensity index (TCI_ws, m/s), which is based on the relationship between the sand content and TC wind speed. The index can be expressed as follows:

$${\rm{TCI}}\_ws=6.3449\ast \,\mathrm{LN}(sand\,content)+31.52$$
(3)