1. Introduction
Rivers and waterways have long been attractive locations for human settlements since the first civilizations, owing to the supply of resources and easy transportations. Most of the cities today have rivers or lakes crossing their urban landscape, providing comfort and ecological diversity for urban citizens but at the same time, posing a range of challenges in light of the potential risk from extreme weather events. In China, large rivers such as the Yangtze River, the Yellow River and the Pearl River, are home to many major cities, even mega cities, along their main channels and tributaries in the wider catchments. As such, flooding has been a long-standing hazard over the centuries which often causes more widespread economic losses when compared with other natural perils in China [
1]. Moreover, most of the flood losses are not covered by flood insurance in China. Based on the NatCatSERVICE database by Munich Re, the total flood loss in China in 2016 was USD
$111 billion, only 2% of which was recoverable [
2]. The low public awareness of the potential flood risk, including that of insurance products, together with a lack of rapid flood risk assessment tools, hinders the effort to develop and promote more appropriate flood insurance protection.
Evaluation of flood risk is often carried out for economic exposures, such as physical assets and Gross Domestic Product (GDP)—the former relates to direct losses while the latter is an indicator of the indirect impact. Calculation of direct losses, particularly at a micro-level, requires a detailed building inventory including information on building use, footprint and height, as captured in a Geographic Information System (GIS) with known (or predicted) flood extent and depth overlaid [
3,
4,
5]. However, this requires a major effort in data collection or access to building inventory databases, as existing at local authorities, both of which are frequently not feasible. Thus, evaluation of flood risk is often done at a macro-level, particularly for larger areas (e.g., regional-level and larger) and uses proxies such as GDP and/or general building stock information as measures of the potential impact on the overall economic output and asset values. A number of recent studies at the national and global scales have used GDP as the main socioeconomic exposure for natural hazard risk evaluation [
6,
7,
8]. As GDP is a widely reported economic indicator, evaluating the GDP at risk can provide a holistic view that reflects both the direct and indirect losses as arising from the wider impact of economic and societal disruptions.
The main causes of flood events in China are due to extreme rainfall events, modification of river channels from urbanization and sediment transport, and poor protection measures. The Intergovernmental Panel on Climate Change (IPCC) has highlighted the increasing climate change related risk for urban areas from extreme precipitation, rising sea levels, and inland and coastal flooding in their Fifth Assessment Report [
9]. Thus, it is crucial to better manage rivers and their interaction with floodplains and urban landscape for safeguarding the populations, living environment, and economy of urban communities near major rivers.
Flood risk assessment relies on a good representation of the underlying rainfall-runoff processes through hydrological and hydrodynamic models to estimate the potential adverse consequences from user-specified meteorological and hydrological conditions. Hydrological models are often used to describe the rainfall-runoff and river–floodplain interaction. Zhao et al. developed the Xinanjiang model, a representative lump hydrological model, for applications in China [
10,
11,
12]. With the advent of computer power, satellite imagery and remote sensing, more physically distributed hydrological models coupled with gage/telemetered data within GIS are used. Some of the more recent reported modeling works for basins in China have utilized the Soil Water Assessment Tool (SWAT) for soil erosion, sediment transport and water quality studies [
13,
14,
15], semi-distributed Topographic hydrologic model (TOPMODEL) for floodplain inundation assessment [
16,
17] and Hydrologic Engineering Center’s Hydrologic Modeling System (HEC-HMS) for storm-runoff and flood evaluation [
18,
19]. The main limitations of using these models, however, are that the datasets required for an accurate representation of the river channel geometries are often lacking, and also the constraints of computational effort for modeling a large and complex basin. Field measurements of river cross-sections are often scarce, such datasets are generally not updated regularly and open access is not available to the research field. Observation datasets from gaged basins such as precipitation, flowrate and water stages, may be more accessible but the temporal coverage varies depending on the data made available. Thus, a more robust model that can capture the key dynamics of the regional rainfall-runoff-inundation process despite lacking certain datasets is desirable for practical purposes.
This paper presents a rainfall-runoff model based on the HEC-HMS model coupled with an empirical inundation estimation using only limited publicly accessible data for flood hazard assessment of a basin in the Foshan-Zhongshan area of the Pearl River Delta (PRD) region in China. The economically vital PRD region is located in the deltaic floodplain of the Pearl River Basin where the complex Pearl River network meets the South China Sea. Owing to the interaction between river and tidal dynamics, this low-lying area has frequently experienced major flood losses in its long history. The HEC-HMS model has been chosen for this study as it is open source, widely tested and accepted by the engineering community for hydrologic analysis. Several recent studies have applied the HEC-HMS model for flood assessment in various catchments in China with satisfactory results [
20,
21,
22]. The proposed model is used to determine the rainfall runoff from two recent flood events with the HEC-HMS-modelled discharges benchmarked with observations. The first event occurred in July 2017, and was a typically large upstream river inflow event with relatively low local rainfall, while the second event occurred in June 2018 which represents a high local rainfall-induced flooding event but much lower upstream inflow. Two more severe scenarios, with the large inflow coinciding with high local rainfall, and rainfall further increased due to climate change, are also modelled. Given that the majority of the population and assets in the PRD region concentrates in the low-lying areas below 0.5 m relative to the mean sea level, the region is most susceptible to impacts from climate change. The potential inundated area, as well as GDP exposure subjected to potential flood hazard over these scenarios at risk, are assessed.
2. Materials and Methods
2.1. Study Area
The PRD region lies between latitude 22° N to 25° N, and longitude 112° E to 115° E in southern China. It consists of nine cities, which are Guangzhou, Shenzhen, Dongguan, Zhuhai, Foshan, Zhongshan, Jiangmen, Zhaoqing and Huizhou from Guangdong province, and two Special Administrative Regions (SARs) of Hong Kong and Macau. The PRD region contributed to 13% of China’s GDP in 2017 and has an enormous concentration of population and socio-economic exposures [
23].
The rainy season for the PRD region is between April and September, during which 80% of the annual total rainfall occurs. The weather system is affected by the rainy (locally known as “Meiyu”) season between April and June, and the typhoon season over July to September when tropical cyclones may bring heavy rainfall and/or storm surges. The river network running through the PRD region consists of three major rivers, the West River (Xijiang), the North River (Beijiang) and the East River (Dongjiang), respectively. The crisscrossing water network in the PRD region encompasses a drainage area of 26,800 km2, accounting for 5.9% of the entire Pearl River Basin.
Our study area is located in the floodplain downstream of the Makou and Sanshui stations along the West and North Rivers (
Figure 1). The boundary of the study area is determined by the sub-basin delineation of the area surrounding the main network of the West and North Rivers. This area is of great interest for flood risk exposure study as the West and North River networks have a long history of riverine flood loss events occurring yearly. It is also home to a number of major cities and urban districts in the PRD region which includes Foshan, Zhongshan and smaller parts of several other PRD cities such as Zhuhai, Jiangmen, Guangzhou, and Zhaoqing (
Figure 1c). The study area has a total drainage area of 6682 km
2, which represents 1.6% of the total Pearl River Basin drainage area and 12% of the PRD area.
2.2. Data
2.2.1. Meteorological and Hydrological Data
Hourly rainfall and river stage data (both locations and warning levels) were downloaded from the Guangdong Province Command Center for Flood, Drought and Typhoon Emergencies (
http://www.gd3f.gov.cn:9001/Report/) for the two historical events in July 2017 and June 2018, respectively. There are 25 rainfall gage stations and 10 river gage stations used in total (
Figure 2a), of which seven stations have both rainfall and water level data. One of the stations, Tianhe station (a downstream station on the West River), has only daily water level (measured at 8:00 am each day) available. This station was later used to benchmark the parameters used in the HEC-HMS model.
Table 1 details the river discharge data collected from various sources for the Makou and Sanshui stations at the upstream part of the study area, and the Tianhe station along the West River. Some additional limited discharge data was also gathered from newspapers and local reports for qualitative benchmarking.
2.2.2. Topographical, Land Use and Land Cover Data
The one arc-second (spatial resolution of 30 m) NASA Shuttle Radar Topography Mission (SRTM) elevation dataset (
https://www2.jpl.nasa.gov/srtm/) was used as the digital elevation model (DEM) in this study. We further have the major rivers burned into the DEM to facilitate basin delineation. The Global Land Cover-SHARE (GLC-SHARE) database (
http://www.fao.org/geospatial/resources/detail/en/c/1036591/), provided by the Land and Water Division, Food and Agriculture Organization (FAO), United Nations, was used to categorize the land cover types. The dataset has a spatial resolution of 30 arc-seconds (spatial resolution of 1 km) and includes 11 land cover types. For purposes of identifying impervious land cover for surface runoff calculation, we further reclassified the artificial surface type as impervious, and the other land cover types as pervious. The 2014 dataset for Guangzhou, Guangdong, from the Atlas of Urban Expansion, Urban Expansion Program (
http://www.atlasofurbanexpansion.org/) by the Marron Institute of Urban Management, New York University (NYU), was used to identify the urbanized and rural areas for disaggregation of GDP exposure in
Section 2.5. Even though this dataset is named as Guangzhou, it covers a wider area than the latest administrative boundary of Guangzhou city. Most cities in our study area, such as Foshan, Zhongshan and the urban districts of Jiangmen, are also included within this dataset. This dataset has a spatial resolution of 30 m.
2.3. HEC-HMS Model
Figure 2b shows the developed HEC-HMS model for the study area. It consists of 28 sub-basins delineated using the SRTM DEM data. For each sub-basin, the received rainfall is calculated based on an area-weighted average using Thiessen polygons. Through proximity and neighborhood analysis, a Thiessen polygon is constructed for each gage station, and collectively they encompassed the entire study area. The Soil Conservation Service (SCS) curve number (CN) method is used in the loss model for calculating infiltration, which is then subtracted from rainfall before simulating the surface runoff. It assumes a constant ratio between the initial loss and the potential maximum retention of the ground, as further determined through a CN number based on the land cover and hydrologic soil type. The hydrologic soil types are classified based on the minimum infiltration rate after prolonged wetting, such as that occurring in this study, which then gives a slight over-estimation of the precipitation excess during the initial part of the event. Two CN numbers were selected following the HEC-HMS technical manual [
24,
25] based on the land cover and soil type, CN number 98 for impervious land and 60 for pervious land. The percentage of impervious land cover is calculated based on the artificial surface type in the GLC-SHARE database. The recession method is assumed where the flow decreases exponentially after the rainfall event and is used to represent the baseflow. Groundwater discharge to the river via infiltration and seepage is not considered in the model given the timescale of the large rainfall events and the highly urbanized nature of the study area. We expect this contribution to be negligible within the immediate basin response timeframe of this study.
The river network developed has two source inflows at Makou and Sanshui on the West and North Rivers respectively (
Figure 2a), and 8 outlets (
Figure 2b). A total of 31 reach components are included, of which 12 are from the North River and 19 are from the West River. The Muskingum-Cunge Routing method is used to simulate the propagation or attenuation of river flow within the individual reach segment. As the two main rivers at the upstream of the study area branch into several tributaries downstream, the split ratios become one of the key factors for model calibration. The split ratios for 2 of 11 diversions in the HEC-HMS model are based on the reported ratios at Ganzhu and Zidong stations [
26], while the rest are determined by width ratios between the diverted reaches. River cross-sections are assumed to be trapezoidal as commonly used in lieu of detailed information on river geometry. An average Manning’s n of 0.023 is generally recommended and is used here, this is based on a literature review for the PRD region [
27,
28,
29] with reported values ranging over 0.014–0.03. The average slopes of the West and North Rivers are 0.045% and 0.0053% [
30] respectively, and these are used as slopes for reaches in the model.
2.4. Estimation of the Inundation Extent
The floodplain inundation is calculated when the simulated discharge from the HEC-HMS model exceeds the river bankfull depth, with the overflow to the surrounding floodplain being treated as a volume-filling process based on mass conservation. The potential inundation extent and the corresponding flood depth are estimated based on the river stage (level) relative to the warning level via a side-weir discharge process. This approach was taken due to a lack of detailed floodplain information needed in detailed hydraulic and inundation modeling. The warning levels published for key river stations are assumed to be that at the bankfull level. Through rating curves derived from the HEC-HMS results, the river bankfull discharge () is first calculated using the warning level at the respective stations. The overbank flow situation is then modelled as an open-channel side-weir discharge, with the embankment crest parallel to the open-channel flow direction. Hence, when the river water level exceeds the bankfull (or warning level), it drains through the side discharge and continues until the water level falls below the bankfull level.
The flowrate
along a channel with a double-sided weir opening can be described as [
31]:
where
is the incremental distance along the weir,
is the known weir discharge coefficient but doubled from that for a single side weir,
is the gravitational acceleration,
is the instantaneous water level, and
is the fixed level of the side weir (i.e., the warning level). Assuming a solution for
in the form of a rating curve as:
where
and
are known constants of the rating curve, Equation (1) can be written as:
Equation (3) for
can then be integrated and solved for the length (
) of side weir over which the overbank side discharge occurs. The solution has the form:
where
is the discharge at the start of the side weir (
) and with
given by the HEC-HMS being greater than
.
is the discharge at the end of the weir at
, which theoretically should be
but this implies an infinite
from the form of the solution in Equation (4). Thus, for our calculation, two approaches for determining
were evaluated by assuming
or
. As both approaches gave similar estimates for
, an averaged
is then taken as the final result. Lastly the weir coefficient,
, is taken as
, where
is the water level corresponding to
[
32].
The total volume of overflow is then readily calculated as the summation of the excess discharge, , over the time period when . It is further assumed that the overflowed water flows into the nearest and lowest elevation areas first before inundating areas of higher elevation. A potential inundation circular (PIC) area is defined as a circular region with its center located at the station where overflow occurs and with the inundation areas enclosed. The initial radius of the PIC is set as the side-weir length , which is then gradually increased until the flood depth at the periphery of the PIC is less than 0.3 m. In practical terms, it is assumed that only a flood depth larger than 0.3 m is of concern as local drainage and protection would likely cater for a depth of less than 0.3 m. The flooded area and flood depth within the PIC are then determined so as to conserve the overflow volume.
2.5. Evaluation of the GDP Exposure from Inundation
The annual GDP data at county-level and city-level covering the study area has been collected from the Guangdong Statistical Yearbooks Database (GSYD,
http://stats.gd.gov.cn/) for 2015–2017. This is further disaggregated based on the three main macro-economic sectors (primary, secondary and tertiary sectors) using the land use data as a proxy following [
8,
33].
Figure 3a shows the land categories of the study area based on the 2014 dataset from the Atlas of Urban Expansion, NYU. A total of seven land cover types are shown. We assume that the GDP contribution from the secondary and tertiary sectors, which generally covers manufacturing and services sectors, comes primarily from assets located in the urbanized land, i.e., comprising urban and suburban built-up areas, and urbanized open space. Correspondingly, the GDP contribution from the primary sector (mainly agricultural) is distributed to the rural built-up area, and the rural and other open space.
Table 2 details the averaged GDP contributions from the primary sector (denoted as
GDP_primary) and secondary and tertiary sectors combined (denoted as
GDP_non-primary) as calculated from GDP statistics reported between 2015 and 2017 for counties and cities within the study area. Also, since Zhuhai city is not included in the Atlas of Urban Expansion, we use a uniform GDP density per county for the areas which are outside of the dataset boundary, as shown in
Figure 3a.
Figure 3b presents the spatial distribution of GDP density (unit: CNY/km
2) of the study area based on the 2017 GDP statistics. It can be seen that as a large portion of urbanized areas are located along the two river networks, a correspondingly high concentration of GDP is potentially exposed to extreme weather events.
The potential GDP exposure at risk is calculated based on the flood depth and the respective GDP density of the inundated area. We assume that flooding below a depth of 0.3 m will not pose a significant threat to the assets and properties within the inundated area, thus no GDP exposure is at risk for depth ≤ 0.3 m. For flood depth that exceeds 0.3 m, the total GDP at risk is calculated as:
where
and
denote the GDP density for rural and urbanized land areas of each county as based on GDP contribution from the primary sector and non-primary sectors respectively, and
and
are the inundated rural and urbanized areas. In the absence of a detailed inventory database, this GDP at risk provides a proxy for the maximum potential impact from loss of economic output as arising from damage to assets and disruption in production due to the flooding.
4. Conclusions
This paper presented a simple rainfall-runoff model for the Foshan-Zhongshan area in the PRD region using the HEC-HMS model and an empirical procedure for estimating flood inundation. Rainfall and river inflows were inputted into the HEC-HMS model to simulate the discharge along the river networks, and river overflows were used in the empirical determination of flood inundation. This work thus demonstrated a ready methodology for simulating flood events with inundation assessment over a large and complex basin, such as the PRD region, and using only limited publicly accessible data. The rating curves developed in this study would be useful for future PRD studies as such relationships are usually not observed directly.
The developed model was used to perform scenario modeling of high upstream river inflow occurring simultaneously with a high localized rainfall. It further provided a risk assessment of impacts from climate change via an increased daily rainfall of 25%. The results indicate that inundation is largely dependent on upstream river inflow as this drives the river water levels, while local rainfall produces local peaks in these levels. As compared to the 2017 and 2018 events, which only caused localized flooding, the synthetic scenario of large upstream inflow of the 2017 event combined with the large rainfall of the 2018 event resulted in a flood extent of 172 km2 and a total economic exposure at risk of CNY 4.3 billion. The further increased local rainfall scenario had the total flood extent expanded to 387 km2 and the GDP at risk to CNY 11.2 billion. The methodology developed readily allows a quantification of flooding potential from local heavy rainfall coincident with large upstream river inflows that are close to their warning levels. It would be of interest to further examine the impact from increased upstream river inflow as arising from climate change on the upstream precipitation.