1 Introduction

Natural disasters such as storms, floods, and droughts, are becoming more frequent and severe worldwide, resulting in large socioeconomic consequences (IPCC 2014). Many scientists tend to attribute the trend of rising natural disaster losses to increases in wealth and population levels in disaster-prone regions, and possibly climate change (Bouwer 2019; Estrada et al. 2015). Both developed and developing countries are vulnerable to the economic impacts of climate change, but it is expected that these impacts will be more severe in developing countries which have a limited capacity to adapt to climate change (Tol 2018). Therefore, adapting to changes in climate and limiting the effects of changes in the intensity and/or frequency of natural hazards on economic development are important.

For climate change adaptation and enhancing the preparedness and resilience of a society, it is essential to understand the relationship between natural disasters and economic activities. Disaster impacts can be divided into direct impacts, like property losses, and indirect economic impacts, such as effects on economic growth (Cavallo and Noy 2011). The former impacts are relatively well understood, while insights into economic growth impacts of natural disasters are more uncertain (Lazzaroni and van Bergeijk 2014; Botzen et al. 2019). Hallegatte and Przyluski (2010) has emphasized the importance of estimating the indirect losses to assess the consequences of natural disasters on welfare. However, the evidence for disaster impacts on economic growth is inconclusive and is mostly obtained from highly aggregated macroeconomic data at the country or regional levels (Klomp and Valckx 2014; Lazzaroni and van Bergeijk 2014). This inconsistency in results is in part related to the failure to fully account for the differences in disaster types, locations, economic and financial development, institutional quality, time periods used for the analysis, disaster cost definitions, and assessment methodologies (Loayza et al. 2012; Cavallo et al. 2013; Felbermayr and Gröschl 2014).

This paper contributes to understanding the impact of disasters on economic growth by examining at the firm level the relationship between natural disasters and business activities in the short run. Understanding firm responses to natural disasters helps design efficient responses to natural disasters. The impacts of natural disasters on the macro-economy largely materialize through their effects on firms through the generation of jobs and income. Natural disasters are exogenous shocks that directly affect firms’ production and demand for production inputs, and induce resource reallocation in the process of firm exit, entry, and the expansion and contraction of existing firms (Leiter et al. 2009; Tanaka 2015; Cole et al. 2015). Through their direct effects on firms, natural disasters have ripple effects on society at large, for example through the loss of jobs, reduction of income, and disruptions in the supply of goods and services (Tierney 2007). Indirect effects of disasters on firms may also be positive, for example when firms that are not directly hit take over production from firms with damaged production facilities, or when demand for products and services increases in the recovery phase after a disaster. Therefore, firms should play an important role in climate change adaptation and disaster risk reduction (Musso and Schiavo 2008). But there is limited evidence on how disasters impact firms so far (Leiter et al. 2009; Tanaka 2015; Cole et al. 2015).

In this paper, we investigate the impacts of storms and floods on firm growth in Vietnam, a developing country particularly vulnerable to climate change and natural hazards.Footnote 1 With a coastline of 3440 km and an estimated 70% of the population living in coastal areas and low-lying deltas (GFDRR 2015), Vietnam is highly exposed to a wide range of natural hazards such as floods, storms (or typhoons), landslides, and droughts. Floods and tropical storms are the most frequent and destructive natural hazard events in Vietnam with the highest number of fatalities and economic damages between 1990 and 2014 (EM-DAT 2020).Footnote 2 Furthermore, climate change is expected to increase sea levels and the frequency and intensity of floods, globally and in Southeast Asia (World Bank 2014; IPCC 2014). Vietnam has lost 1–1.5% of GDP annually between 1989 and 2008 due to natural disasters, which hinders the social and economic development of the country (World Bank 2010). To name a few, typhoon Xangsane struck 15 provinces in the central region in 2006 and caused USD 649 million in damage; floods in 2008 affected north and central Vietnam and caused USD 479 million in damage; and typhoon Ketsana swept through central Vietnam in 2009 killing 163 people and causing a total economic loss of USD 785 million (EM-DAT 2020).

This paper contributes to the limited micreconomic evidence for disaster impacts on firm growth in labor, capital, and sales using the Enterprise Census data (2000–2014). Specifically, we extend the literature on the determinants of firm growth to incorporate natural disasters as exogenous shocks. We then estimate linear dynamic firm growth models by the Blundell and Bond (1998) system generalized method of moments (system GMM) to identify the growth impacts of storms and floods. System GMM has the advantage that it deals with potential measurement error and endogeneity for variables in the model as well as the weak instrument problem. For floods, we find significant positive impacts on labor growth and capital growth and significant negative impacts on sales growth. We observe some evidence of significant positive lag impacts on labor growth and significant negative lag impacts on sales growth. Moreover, we find significant positive impacts of storms on capital growth and sales growth in the same year as storms strike only with the economic damage measure. Furthermore, we confirm that firm growth depends on firm size and financial constraints and decreases with firm age.

Moreover, this paper makes the first attempt to directly verify the performance of three different disaster measures in the context of micro-level disaster impacts on firms. The three disaster measures are defined based on physical intensities of natural disasters (e.g., wind speed and geographical size affected) and (ad-hoc) damage records (deaths and economic losses). Most studies on disaster impacts have relied on the damage measures which may be endogenous, particularly for cross-country growth studies, because income may be positively related with natural disaster damages (Felbermayr and Gröschl 2014). This is why Felbermayr and Gröschl (2014) built a comprehensive natural disaster database with physical intensities from primary geophysical and meteorological information. They find a substantial negative and robust average impact of disasters on economic growth with the physical disaster indicators, but not with the economic impact indicators. In contrast to the different signs of disaster impacts found at the macro level in Felbermayr and Gröschl (2014), we find mostly consistent signs and magnitudes for disaster impacts on firm growth across the three disaster measures. There are two possible explanations for this difference. First, the endogeneity concern of the economic damage disaster measure is much smaller in our within country study than in a cross-country study with substantial heterogeneity in GDP and reporting of damages. Second, we focus on disaster impacts in the manufacturing sector only while Felbermayr and Gröschl (2014) studied the impacts of disasters on the whole economy. Disaster impacts are likely to differ across economic sectors.

The paper is organized as follows. Section 2 reviews the literature on the impacts of natural disasters with a focus on indirect costs. Section 3 introduces the Enterprise Census data and the disaster databases used for the analysis. Section 4 reviews the literature on the determinants of firm growth, specifies the growth models for estimation, and presents the estimation results for firm growth and some robustness checks. And Sect. 5 concludes.

2 The Economic Impacts of Natural Disasters

This paper is closely related to the literature on the economic impacts of natural disasters, especially the indirect economic consequences of natural disasters. We review the literature below.Footnote 3

The immediate consequences of disasters include mortality, morbidity, loss of physical infrastructure such as roads, telecommunication, and utility services, damages to residential housing and other buildings and their contents, as well as capital stock and inventories of companies. The size of these direct costs is related to both the nature and the physical intensity of the disaster as well as societal resilience against disasters, like early warning systems, evacuation plans, building codes, prevention measures in place, and quality of government institutions (Kahn 2005). Studies on direct natural disaster impacts generally find that such impacts are negative direct costs (Lazzaroni and van Bergeijk 2014).

These initial direct disaster impacts are followed by indirect impacts on the economy. These indirect impacts can be indirect costs, like business interruption costs, but also indirect benefits, for example when businesses that are not directly hit by a disaster take over the reduced supply from businesses with production impaired by the disaster (Hallegatte and Przyluski 2010). Moreover, during the recovery process some firms may experience increased demand which is met by increasing production. An example is the construction sector which often is in high demand when damaged properties need to be repaired.

The theory regarding disaster impacts on firm growth is ambiguous. Standard neoclassical growth models with exogenous technical progress predict a more rapid capital accumulation after the destruction of capital caused by a natural disaster (Noy and Nualsri 2007). This is reflected in higher growth rates which sustain temporarily until new steady state balanced growth is reached.

Growth theories with endogenous technical change result in mixed predictions of growth implications of disasters. Endogenous growth models with increasing returns to scale in production predict that technological change is increasing in the stock of human or physical capital, which implies lower growth after disasters reduce these capital stocks (Romer 1986, 1990). In contrast, in line with the creative destruction theory of Schumpeter (1934), there may be a positive effect on long run economic growth when damaged capital stock after a disaster is replaced and upgraded. For human capital, Skidmore and Toya (2002) expect human capital to increase after a disaster to substitute for lost physical capital, which can contribute to growth and ultimately increase physical capital investments. In the short run, natural disasters may trigger reallocation of labor across sectors. For example, Kirchberger (2017) finds evidence for sectoral reallocation of workers as well as significant and persistent wage premia between the agriculture and construction sectors after an earthquake in Indonesia. But labor supply can be reduced if people migrate out of disaster-stricken areas (Belasen and Polachek 2008, 2009). For low-income countries, natural disasters tend to reduce human capital accumulation in the long run (Baez et al. 2010; Cuaresma 2010; McDermott 2012). On the other hand, disasters may spur innovation (e.g., more patenting activities for technologies that mitigate risks) to reduce and cope with the disaster risks which enhances a country’s adaptive capacity (Miao and Popp 2014).

The sign and size of the indirect costs, moreover, depend on the nature and physical intensity of the disasters and on the macroeconomic resilience of a society (Noy 2009). The latter depends on a series of economic, social, and political characteristics, such as the level of economic development, financial market development, institutional quality, education attainment, and trade openness (Anbarci et al. 2005; Raschky 2008; Toya and Skidmore 2007; Noy 2009; Cavallo and Noy 2011). Moreover, mixed results may arise from differences in the definitions of disaster costs and the assessment methodologies and approaches used (Hallegatte and Przyluski 2010).

Overall, there is no consensus in the literature about the sign and magnitude of the short- and long-run indirect costs following natural disasters (Klomp and Valckx 2014; Lazzaroni and van Bergeijk 2014).Footnote 4 Specifically, Lazzaroni and van Bergeijk (2014) analyse 64 primary studies published in 2000–2013 on the macroeconomic impact of natural disasters and conclude that disasters have on average an insignificant impact in terms of indirect costs. Similarly, Klomp and Valckx (2014) perform a meta-regression analysis of studies examining the relationship between economic growth per capita and natural disasters using more than 750 estimates in the literature. They instead find a negative genuine effect of natural disasters on economic growth, which is increasing over the period of analysis. Furthermore, they find that climatic disasters in developing countries have the most significant adverse impact on economic growth.

The literature on disaster impacts mostly uses cross-country macroeconomic data for analysis, which may bias estimates for disaster impacts due to the large variations in macroeconomic dynamics and shocks across countries. Instead, a small literature evaluates disaster impacts at county, region, or state level within a country. Strobl (2011) finds negative impacts on growth in coastal counties in the United States with different hurricane severities, but no effect beyond the county level. Noy and Vu (2010) use provincial level data for Vietnam to evaluate the macroeconomic disaster impacts and find that disasters that destroy more property and capital boost the economy in the short-run, while lethal disasters decrease economic production. Rodríguez-Oreggia et al. (2013) find that general shocks, especially from floods and droughts, lead to significant drops in the social indicators for both human development and poverty levels using municipal level data for Mexico.

While the evidence of disaster impacts on economic growth is inconclusive based on macroeconomic aggregate data, little is known about disaster impacts on businesses and business recovery after a disaster (Tierney 2007; Botzen et al. 2019). Firms receive much less attention in the public debate and also in the literature about disaster impacts, compared to households.Footnote 5,Footnote 6

A few studies examine how natural disasters impact economic growth or firm recovery via supply chain. Using firm level panel data from Worldscope for 53 countries for the period 1990–2004, Altay and Ramirez (2010) find that disasters impact all sectors within a supply chain, and damage by windstorms and floods seem to be dramatically different from that of an earthquake. Accordingly, they suggest a supply-chain-wide mitigation strategy rather than a company-specific one, as well as a disaster-specific approach rather than an all-hazard approach for reducing natural disaster risks. Todo et al. (2015) find a positive net effect of supply chain networks on firm recovery after the Kobe Earthquake using firm-level data for Japan. Carvalho et al. (2016) provide a systematic quantification of the role of input–output linkages as a mechanism for the propagation and amplification of shocks and find that the propagation of the shock over input–output linkages can account for a 1.2 percentage point decline in Japan’s gross output in the year following the 2011 Great East Earthquake.

This paper is closely related to a few studies that examine post-disaster firm or plant survival and growth. Leiter et al. (2009) analyse the short run impacts of EU floods in 2000 on firm growth. They find that, in the short run, companies in flooded regions show on average higher growth of total assets and employment than firms in non-flooded regions. The positive effect prevails for companies with larger shares of intangible assets (e.g., R&D, patents, software, and trademarks), which are less exposed to floods than tangible assets. But a negative flood effect is observed for firms’ productivity (value-added), which declines with an increasing share of intangible assets. They argue that intangible assets are often an outcome of R&D activities and may act as a multiplier promoting (softening) positive (negative) tendencies.

Both Tanaka (2015) and Cole et al. (2015) analyse the impacts of the Kobe earthquake on industrial plant survival and growth and find evidence against the creative destruction hypothesis. Specifically, Tanaka (2015) finds that surviving plants experience lower employment and value-added growth than plants in areas not directly stricken during the subsequent three years of the Kobe earthquake. Cole et al. (2015) construct a measure of the damages incurred by individual buildings. They show that the damage caused by the Kobe earthquake increases the likelihood of exiting the market for plants that are unproductive, small, young, and employing low-skilled workers, reduces employment and value-added, boosts the birth of new firms in areas with severe damages, but temporarily increases productivity of surviving plants.

While the three studies above focus on single disaster events from developed countries (the EU and Japan), in this paper we analyse the impacts of multiple floods and storms from 2000 to 2014 in Vietnam. This paper has two methodological innovations. First, we pioneer in verifying the performance of three different disaster measures (physical intensities, number of deaths, and economic damage) in the context of micro-level disaster impacts on firms. Second, we obtain more accurate estimates for disaster impacts by applying the Blundell–Bond (1998) system generalized method of moments (GMM), which largely improves upon the commonly used methods (e.g., difference in difference and matching) in the literature by accounting for firm dynamics, endogeneity, and measurement error using lagged values as instruments.

3 Data Description

To identify short-run disaster impacts on firm growth, we use the annual Enterprise Census data (2000–2014) matched with three different disaster databases for Vietnam. We describe the datasets below.

3.1 The Enterprise Census Data (2000–2014)

The Enterprise Census data is collected annually by the General Statistical Office (GSO) of Vietnam since 2000. It covers all state-owned, foreign invested firms, private firms with employment sizes above certain thresholds,Footnote 7 and a fraction of randomly sampled private firms with employment below certain thresholds.Footnote 8 Both the thresholds and sampling frames vary across provinces and over time.Footnote 9 However, a sampling weight is not needed because the numbers of firms in the raw Enterprise Census data are similar to those reported in the statistical year books (2000–2014). The Enterprise Census collects information on ownership structure, location, industrial activities, sales, profits, total and fixed assets, employment, wages, debts, investment, depreciation, et cetera. We focus on manufacturing firms.

We first clean the census data for use. “Appendix 1” documents the details of data cleaning. All nominal values except capital and debt are deflated by a 2-digit industry producer price index with 1995 as the base year while capital and debt are deflated by capital deflators.

3.2 Three Disaster Databases

We measure disaster severity using the following three different disaster databases: the Emergency Event Database (EM-DAT hereafter), the ifo Geological and Meteorological Events (GAME hereafter) database, and the Dartmouth Flood Observatory (DFO hereafter) database. We focus on floods and storms (typhoons), the two most frequent and destructive natural disasters in Vietnam.Footnote 10

EM-DAT is by far the most widely used database in the literature about estimating disaster impacts,Footnote 11 recording essential core data on the occurrence and effects of over 22,000 mass disasters worldwide from 1900 to the present day. A disaster is recorded in EM-DAT if it satisfies one of the following four conditions: (1) it caused 10 or more deaths, (2) it affected a population size of 100 or more, (3) it led to a declaration of a state of emergency, (4) it led to a call for international assistance. This collection of natural disasters is mostly based on insurance claims or news stories, which are potentially related with large measurement errors.Footnote 12

Storms and floods dominate the most severe natural disasters during 1990–2019 in Vietnam, especially after 2005 in terms of economic damages (EM-DAT 2020). During 2000–2014, EM-DAT records a total of 42 storms and 49 floods in Vietnam with varying (positive) deaths and economic losses (mostly uninsured) (see Table 1).Footnote 13 22 out of the 42 storms are associated with other disasters such as floods, rain, and landslides. Most storms and floods affect multiple areas/provinces albeit with varying severities. Some provinces have experienced multiple storms and/or floods in a year.

Table 1 The distribution of storms and floods across regions (2000–2014)

The disaster measures in EM-DAT are recorded per disaster, capturing the aggregate impact of a disaster on multiple areas with varying intensities and hence fail to reflect such variation in intensities. Felbermayr and Gröschl (2014) highlight two issues with EM-DAT in a cross-country GDP growth regression, namely: both monetary damage and insurance coverage are correlated with GDP per capita, which causes an endogeneity issue for the disaster measures. This endgoeneity in disaster measures is expected to be weaker in a within-country study with more homogeneity in income levels, quality of infrastructure and institutions, and insurance penetration across regions.

In light of the limitation of EM-DAT, we also use the ifo Geological and Meteorological Events (GAME) database (1979–2014). This dataset collects information on various geological and meteorological events (e.g., earthquakes, volcanic eruptions, storms, extreme temperature events, floods, and droughts) from primary data available per 50 km by 50 km grid cell on a monthly basis and converts them into natural hazards and disaster events on per country-year basis for the whole world. GAME captures the physical intensity of disaster events, which is exogenous to economic activity (Felbermayr and Gröschl 2014). In this paper, we use the maximum hurricane windspeed from the primary data to measure storms in Vietnam.Footnote 14 During 2000–2014, 165 out of 34,020 observations (per grid cell per month) have maximum hurricane windspeed 64 knots (the minimum wind speed of Saffir-Simpson Hurricane Wind Scale) or higher with affected geographical size larger than 15 km2.Footnote 15 An alternative for measuring storm severity locally is via tropical storm models, which also have limitations such as sensitivity to local conditions and model assumptions.

GAME also records precipitation per grid cell,Footnote 16 but it could be a poor measure for flood intensity and damage. High precipitation may not cause flooding when adequate flood protection infrastructure is in place. Moreover, the intensity and duration of rainfall, the geographical location, and climate and land-surface characteristics (e.g., topography, geomorphology, type and quality of soils, et cetera) all play important roles in flood occurrence. On the other hand, flood intensity inferred from flood models also suffer from uncertainties such as parameter uncertainty (Koks et al. 2015).

Therefore, to measure flood intensity, we also use the Dartmouth Flood Observatory (DFO) database, a Global Active Archive of Large Flood Events since 1985 collected by the University of Colorado, for a physical intensity measure of flooding.Footnote 17 It detects, maps, measures, and analyses extreme flood events worldwide using satellite remote sensing. Imaging of selected river reaches is used to detect floods and extreme low flow conditions. The database provides information about flood catalog numbers, centroids, area affected outlines and other attribute information such as beginning and end dates of floods, duration in days, number of deaths, monetary damage, population affected, geographical size affected, and main cause.Footnote 18

DFO records a total of 77 floods with a positive number of deaths and damage against 49 floods recorded in EM-DAT between 2000 and 2014 for Vietnam, of which 29 are jointly recorded by both databases with similar death and damage data (when available).Footnote 19 Although there are many missing values in the economic damage in DFO, other variables such as the geographical size affected, flood duration in days, and number of deaths are more complete and credible. We use the geographical size affected by floods as a proxy for flood intensity. The geographical size affected is positively and significantly correlated with other disaster severity measures such as deaths, damage, population affected and flood duration in days.Footnote 20

Overall the three disaster databases overlap partially in identifying the common storms and floods in Vietnam between 2000 and 2014.Footnote 21 The widely reported typhoons by media such as Damrey (September 2005), Xangsane (October 2006), Durian (December 2006), Lekima (October 2007), Ketsana (September 2009), and Haiyan (November 2013) are recorded in both GAME and EM-DAT.

We first convert the disaster data into observations per year per province,Footnote 22 and then match the converted disaster data with the Enterprise Census data (by province and year) for analysing disaster impacts on firm growth. Our disaster measures such as deaths and damage are aggregates from multiple stricken areas. Storms and floods in Vietnam often impact multiple provinces (grid cells) with varying intensities. Moreover, there could be multiple storms and/or floods in a year. But firms in the Enterprise Census are observed per year per province (58 provinces and 5 municipalitiesFootnote 23 over a span of 15 years).

For the GAME primary data, we first match grid cells to provinces based on the latitudes and longitudes of the grid cells to identify which provinces had storms during 2000–2014. For disasters recorded in EM-DAT and DFO, we extract the locations using the provided information on impacted areas.Footnote 24 For provinces with multiple disasters in a year, we then choose the most severe one in terms of physical intensities, deaths, and/or economic damage. In addition, we also calculate the frequency of severe disasters in a year. After conversion, the same disaster is observed on firms from (multiple) stricken provinces.Footnote 25

Table 1 shows the distribution of converted storms and floods across regions in Vietnam.Footnote 26 The numbers reflect the degree of exposure as they reflect both the frequency of and/or the geographical size affected by storms and floods.Footnote 27 The patterns of the flood and storm risks across regions are largely consistent based on the numbers of storms and floods from the three disaster datasets. The Red River Delta, South Central Coast, and North Central Coast are prone to both floods and storms. The flood risk is most severe in Mekong River Delta. The flood and storm risks in North West, South East, and Central Highlands are relatively low compared to other regions.

Fig. 1
figure 1

Source: Bui et al. (2016)

Vietnam by regions.

We include both flood and storm measures in the growth models for two reasons. First, although storm rainfalls often trigger floods, EMDAT shows that there are also many floods caused by heavy rains in Monsoon seasons in Vietnam. Even if some floods are triggered by storms, they often impact different areas. Another motivation for including separate storm and flood variables in the model is that, storms and floods may have different impact channels. For example, wind damages mainly affect the outside of buildings, while flood waters also damage inventory, machinery and equipment. Therefore, we define flood and storm dummies per year at the provincial level based on physical intensities, number of deaths, and economic damage. The first storm dummy (STM1) is defined based on the maximum wind speed from the GAME primary data and is equal to 1 if the storm wind speed is 64 knots or higher with the stricken area at least 10% of the provincial size and 0 otherwise.Footnote 28 The second and third storm dummies (STM2 and STM3) are defined based on casualties and economic damage from EM-DAT. STM2 is equal to 1 if the number of deaths caused by a storm is above 16 and 0 otherwise. STM3 is equal to 1 if the estimated direct damage is above USD 25 million (hereafter MUSD) and 0 otherwise.Footnote 29 We define flood dummies similarly using DFO and EM-DAT. FLD1 is equal to 1 if the ratio of the geographical size affected over province size is above 5 and 0 otherwise (DFO).Footnote 30 The second flood dummy (FLD2) is equal to 1 if the number of deaths recorded in EM-DAT are above 45 and 0 otherwise, while the third flood dummy (FLD3) is equal to 1 if the estimated economic damage in EM-DAT is above 10 MUSD and 0 otherwise.Footnote 31

Table 2 presents the correlations of the three storm dummies and three flood dummies. The storm dummy defined based on maximum hurricane wind speed (STM1) is positively and significantly correlated with the storm dummies defined based on death and damage (STM2 and STM3, 0.145 and 0.196 respectively). Similarly, the flood dummy defined based on geographical size (FLD1) is positively and significantly correlated with the two flood dummies defined based on death and damage (FLD2 and FLD3, 0.182 and 0.265 respectively). But the correlation coefficients between STM2 and STM3 and between FLD2 and FLD3 from EM-DAT are much larger (0.797 and 0.623 respectively). This implies that there is only some overlap in the storms and floods identified from the three data sources.Footnote 32 Moreover, the storm dummy defined using GAME shows a negative and significant correlation with the flood dummies.Footnote 33 The storm dummies defined from EM-DAT exhibit positive and significant correlations with all three flood dummies (FLD1 and FLD2), which suggests that some storms (recorded in EM-DAT) are associated with floods.

Table 2 The correlations of storm and flood dummies.

3.3 Summary Statistics for Firm Sizes, Firm Growth, and Disaster Dummies

Firm growth is difficult to predict and highly heterogeneous across firms. The choice of firm growth measures depends on specific research topics, data availability, and data quality. Firm size is most commonly measured by employment, total sales, value added (VA), and total assets (Weiss 1998; Delmar 2006). Using employment as a size measure facilitates comparison across industries. Sales growth may mirror best the short- and long- term changes in the firm with the risk of overstating the size of a firm as sales reflect both the value-added of a company and external shocks (e.g., on input prices). Capital accumulation may be problematic for industries with a large share of intangible assets. Financial measures may contain larger measurement errors caused by deflators and/or are prone to manipulations, compared to employment. In our data, VA is not directly reported but can be calculated as the sum of labor costs, profits, and depreciation. Therefore measurement error in VA could be larger than the directly reported sales. Therefore in this paper we focus on labor growth, capital growth, and sales growth, which are calculated as the log difference in firm sizes in two consecutive years (i.e., relative growth).

Table 3 presents the statistics for firm growth rates, firm sizes, age, and storm and flood dummies, which are produced using the cleaned unbalanced panel data with at least 5 years of data. The three size measures are highly positive correlated.Footnote 34 Among the growth measures, the mean and variation are the lowest for labor growth and the highest for sales growth. But the correlations among the three growth measures are much smaller.Footnote 35 Around 7–11% of the observations are located in provinces with storms and floods in a period of 15 years.

Table 3 Summary statistics for key variables.

4 The Determinants of Firm Growth and the Estimation Results for Firm Growth Models

In this section, we briefly review the literature on the determinants of firm growth, construct our firm growth models, and present the estimation results of the growth models.

4.1 The Determinants of Firm Growth

The determinants of firm growth have been studied in various disciplines, including economics, strategy, psychology, network theory, and innovation. Zhou and de Wit (2009) provide an integrated analysis on the determinants of firm growth from different disciplines and classify them into three dimensions: individual (e.g., entrepreneurial personality traits, entrepreneurs’ growth motivation, technical knowledge, and experience), and organizational (e.g., firm size, age, market orientation, availability of financial capital, and firm’s scalability or its preparedness to grow) and environmental determinants. We focus on the organizational determinants in this paper.

The firm growth model is built based on the empirical literature of firm growth, firm size and age. According to Gibrat’s Law, firm growth is independent of initial size. But the evidence for Gibrat’s Law is mixed. Hall (1987) finds evidence for Gibrat’s Law, while Evans (1987) rejects Gibrat’s Law for large US manufacturing firms. Cabral (1995) shows that the growth rate is lower for large firms than small firms. On the other hand, Bentzen et al. (2012) find a positive correlation between firm size and firm growth for Danish firms for the period between 1990 and 2004. For firm age, the negative dependence of growth rate on age appears to be a robust feature of industrial dynamics (Coad 2007a).

The autocorrelation of growth rates reflects firms’ growth process and implies a rejection of Gibrat’s Law if the autocorrelation is significant. But the number of relevant lags considered varies across studies, ranging from one lag to seven lags (Coad 2007b). There is a lack of consensus within the empirical evidence for the autocorrelation of firm growth (Coad 2009). For instance, it is positive for US manufacturing (Bottazzi and Secchi 2003), but negative for Italian manufacturing (Bottazzi et al. 2006) and French manufacturing (Bottazzi et al. 2011). Coad (2007b) find negative autocorrelation of annual growth rates for small firms but positive autocorrelation of annual growth rates for large firms for French manufacturing. Further investigation by Coad (2009) shows that the autocorrelation of employment growth varies by firm size. Micro firms tend to exhibit negative autocorrelation (lumpy growth profile), while larger firms tend to show positive autocorrelation with high growth episodes stretching over a longer time horizon.

Financial constraints play a substantial role in shaping and conditioning firm decisions underlying growth and survival (Musso and Schiavo 2008), particularly for small and medium sized firms (SMEs). Financial constraints increase exit probability, hold back investment and innovation, and negatively affect firm growth (Hyytinen and Toivanen 2005; Musso and Schiavo 2008). Lack of access to credit may hinder firms’ investment to (fully) capture any growth opportunities. Besides, the effect of financial structure on firm growth is statistically significant and quantitatively important (Rahaman 2011). In the presence of external financing constraints, firms rely more on internal funds to finance growth, but the effect of internal financing on firm growth decreases with an increase in the firm’s access to an external bank credit facility. Access to capital is an important factor for the post-disaster recovery of small businesses or microenterprises (Webb et al. 2002; Runyan 2006; De Mel et al. 2012). Moreover, natural disasters may aggravate firms’ financial constraints by damaging firms’ collateral (i.e., tangible assets) required for borrowing and ultimately affect firm survival and growth.

As discussed in Sect. 2, the sign and magnitude of indirect disaster impacts on firm growth are uncertain, depending on the type and severity of the natural disaster considered, and firm- and industry-specific resilience against natural disasters.

Finally, other factors may also matter for firm growth, including heterogeneity in firm level productivity and production technologies, R&D investment, industry- and location-specific factors (e.g., proximity to demand market and production factors, regional institutional quality, knowledge spillovers, et cetera), macroeconomic factors such as financial crises (Coad 2007a), and individual factors such as entrepreneurs’ growth motivation, capability, and background (Zhou and de Wit 2009).

4.2 The Empirical Specifications of the Growth Models

Based on the literature on the determinants of firm growth summarized in Sect. 4.1 and the available data described in Sect. 3, we specify our general growth model as follows:

$${\text{GR}}_{{{\text{i}},{\text{t}}}} = {\text{b}}_{0} + \mathop \sum \limits_{{{\text{l}} = 1}}^{{\text{L}}} {\text{b}}_{{1{\text{l}}}} {\text{GR}}_{{{\text{i}},{\text{t}} - {\text{l}}}} + {\text{b}}_{2} {\text{Size}}_{{{\text{i}},{\text{t}} - 1}} + {\text{b}}_{3} \ln {\text{age}}_{{{\text{i}},{\text{t}}}} + {\text{b}}_{4} \left( {\ln {\text{age}}_{{{\text{i}},{\text{t}}}} } \right)^{2} + \mathop \sum \limits_{{{\text{l}} \ge 0}} \left( {{\text{b}}_{{5,{\text{l}}}} *{\text{STM}}_{{{\text{i}},{\text{t}} - {\text{l}}}} } \right) + \mathop \sum \limits_{{{\text{l}} \ge 0}} \left( {{\text{b}}_{{6,{\text{l}}}} *{\text{FLD}}_{{{\text{i}},{\text{t}} - {\text{l}}}} } \right) + {\text{b}}_{7} {\text{FinVars}}_{{{\text{i}},{\text{t}} - 1}} + {\text{b}}_{8} {\text{X}}_{{{\text{i}},{\text{t}} - 1}} + {\upeta }_{{\text{i}}} + {\text{d}}_{{\text{t}}} + {\upvarepsilon }_{{{\text{i}},{\text{t}}}}$$
(1)

\({\text{GR}}_{{{\text{i}},{\text{t}}}}\) denotes firm growth (in labor, capital, and sales) in period t. The independent variables include lagged growth rates (\({\text{GR}}_{{{\text{i}},{\text{t}} - {\text{l}}}}\)) up to L lags, firm size (\({\text{size}}_{{{\text{i}},{\text{t}} - 1}}\)), (log) firm age (\(\ln {\text{age}}_{{{\text{i}},{\text{t}}}}\)), storm and flood dummies (STMx and FLDx) and their appropriate lags, financial variables that capture financial constraints and growth opportunities to some extent (e.g., cash flow to total assets ratio CFK, the ratio of liquid assets and short-term investment to total assets CKK, and total liability to total assets ratio DAR and the square term DARsq), any other available time-varying controls \({\text{X}}_{{{\text{i}},{\text{t}} - 1}}\) related to firm growth (e.g., the share of female workers, (log) mean wage per worker and investment rate IKx), a time invariant individual effect \(\left( {{\upeta }_{{\text{i}}} } \right)\), and year dummies (\({\text{d}}_{{\text{t}}}\)) controlling for common macroeconomic patterns. Finally, \({\upvarepsilon }_{{{\text{it}}}}\) is an i.i.d error term capturing any other unexplained effects.

Since most storms and floods in Vietnam occur between August and November in a year, the impact of storms and floods on firm growth may extend to multiple years. Therefore, we also include lagged disaster dummies into the growth models. For instance, the one-lag storm (flood) dummy indicates whether there is any storm (flood) occurred one year ago and its coefficient captures whether or not it has lingering impacts on current growth compared to firms in provinces without any disaster.

Although the occurrence of storms and floods are exogenous for firms, disaster measures may still be endogenous. For instance, floods tend to be slow-onset events (except flash floods) and allow firms to take actions to reduce disaster damage. Moreover, firms located in regions more prone to storms and/or floods may invest more to prevent and reduce damage. But we argue that this is less concerning for our disaster measures for three reasons. First, the heterogeneity in the investment in disaster prevention across firms can be captured to some extent by the fixed effects and time trend in the growth models (Elliott et al. 2015). Second, our disaster variables are dummies, which are less prone to endogeneity compared to the damage measures. Third, flood risks are more evenly distributed across regions in Vietnam. For typhoons/storms, the World Bank report (2010) shows that “although the frequency of typhoons appears to be fairly stable over time, the pattern of typhoon events (Beaufort Categories 12 and 13) shows two distinct cycles of peak typhoon activity followed by approximately a decade of zero typhoons. Between 1995 and 2004 Vietnam did not experience any direct typhoon hits on the mainland. Since 2005 there have been 6 typhoons (an average of 1.5 events per year) and 2006 was the worst year on record with 4 category 13 typhoons.” Belasten and Polachek (2008) made a similar argument that each hurricane event is exogenous and unpredictable in that the exact timing and path of a hurricane cannot be determined a priori, nor can the degree of damage. This means the local disaster risk is less likely to influence location decisions of firms and their investments in disaster prevention. In fact, the main driving force of firms’ location choice remains the primacy of economic considerations such as the expansion into new markets or the exploration of new supplies (Linnenluecke et al. 2011). Also, the difference-in-Hansen tests fail to reject the validity of the storm and flood dummies and their lags in the models. Therefore, the storm and flood variables in our growth models are exogenous.

Financially constrained firms have difficulties in financing for value-increasing projects, which ultimately affects firm growth (Ayyagari et al. 2008). But financial constraints are not directly observed. The empirical literature on financial constraints use either indirect proxies (such as having a credit rating or paying dividends or not) or one of the three popular financial constraint indices based on linear combinations of observable firm characteristics [e.g., the Kaplan–Zingales, Whited–Wu, and Hadlock–Pierce indices, see Farre-Mensa and Ljungqvist (2016)]. Apart from firm size and age, we include in our empirical growth models a few indirect proxies for financial constraints such as cash flow to total assets (CFK), share of liquid assets and short-term investment in total assets (CKK), and total liability to total assets ratio (DAR) and its squared term (DARsq).Footnote 36 CFK reflects firm profitability and growth opportunities. In an imperfect market with frictions, cash flow matters for firm investment and firm growth. CKK may be highly positively correlated to cash holdings and can serve as a proxy for cash holdings. Denis and Sibilkov (2010) show that greater cash holdings of constrained firms are a value-increasing response to costly external financing. Financially constrained firms hold more cash in order to undertake value-increasing projects that might otherwise be bypassed without sufficient cash holdings. Firms with higher leverage and cash holdings are likely to be financially more constrained and have lower growth, while firms with more cash flow may be less constrained and have higher growth.

Investment rate (IKx) captures growth opportunities and is expected to affect firm growth positively. Both the share of female workers (female) in total employment and (log) firm mean wage per worker (lnmwage) may reflect both firm-level and industry level differences in labor productivity, number of working hours, production technologies, and capital intensities, and thereby impact firm growth.

Table 4 presents the summary statistics for the financial variables and other variables related to firm growth. The investment rate (IKx) is heavily right skewed with a median of 7%, much lower than its average of 30%, implying that most firms have small investments and only a few firms undergo very large investments. The (end of year) liability to total asset ratio (DAR) is also high with an average of 49%, which could be because it includes both short and long term liabilities from formal and informal financing sources. We observe a negative cash flow for 19.6% of the observations. The share of liquid assets and short term investment in total assets (CKK) is high with an average of 59%, which may reflect firms’ limited borrowing capacity as borrowing in Vietnam often requires collateral. The average share of female workers is around 40% but with large variations across industries. For instance, the shares of female workers are the highest for industries related to wearing apparels (76.3%) and tanning and dressing of leather products (67.2%), and the lowest for basic metal (20.3%) and machinery and equipments (21.2%). While the log mean wage per worker is the highest in machinery and equipment and the lowest in wood and wood products production.

Table 4 Summary statistics for financial variables and other variables related to growth.

With \({\text{b}}_{{1{\text{l}}}} \ne 0\), firm growth is autocorrelated and the growth models become dynamic models. To estimate the dynamic models with fixed effects, we need to take the first difference of the equation to remove the fixed effects. The lagged growth and size variables after first differencing are endogenous as they are correlated with the differenced error term. With growth being autocorrelated, past firm growth rates (with appropriate lags) affect current firm growth rates (relevancy), but not the current error term in the growth models (validity). Therefore, past growth rates can be used as instruments for the endogenous variables. To consistently and efficiently estimate the dynamic growth models, we apply the system generalized method of moments (sys-GMM) proposed by Blundell and Bond (1998).Footnote 37 System GMM accounts for endogeneity and measurement errors in the variables by using lagged values as instruments and overcomes the weak instrument problem (in case of highly autocorrelated growth). But one caveat of system GMM is instrument proliferation. While theoretically adding additional moment conditions may improve the asymptotic efficiency of GMM, Ziliak (1997) has found severe downward bias in GMM as the number of moment conditions expands, which outweighs the gains in efficiency. Roodman (2009a) also shows that a large instrument collection overfits endogenous variables and weakens the Hansen test of the instruments’ joint validity. One strategy to avoid instrument proliferation is to use only certain lags instead of all available lags for instruments. We use the Arellano-Bond autocorrelation tests to guide our selection of lagged values as instruments and the Hansen J tests to test the joint validity of the lagged instruments.

4.3 The Estimation Results for the Firm Growth Models

We report the estimation results for the growth models in Table 5 (disaster impacts) and in Table 6 (for other variables, full sample). Specifically, Table 5 presents the coefficient estimates for disaster dummies defined based on physical intensities (GAME and DFO), and casualties and economic damage (EM-DAT).

Table 5 Impacts of storms and floods on firm growth

The final specifications of the three growth models vary slightly. For instance, the number of lagged disaster dummies included and the length of autocorrelation vary across different specifications.Footnote 38 We use the following instruments to estimate the growth models: the appropriate (up to five) lags of growth and firm size variables, disaster dummies and their lags, year dummies, firm age, and all other variables included in the model. To reduce the risk of overfitting bias, we limit the number of lags to five for endogenous variables. But the estimation results are robust to the inclusion of extra lagged instruments. In all cases, both the AR(2) test and the Hansen over-identifying test are not rejected, indicating the validity of the (lagged) instruments used and a good fit of the models to the data.

The coefficients of the storm and flood dummies capture the average impacts of disasters on firm growth for firms in provinces stricken by storms and floods, compared to firms in provinces not stricken by storms and floods. Therefore these average disaster impacts also capture the spillover effects of firms not hit directly and located in the same provinces. The coefficients of the flood dummies and their lags are positive in labor growth and capital growth but are negative in sales growth. We observe a similar pattern for the storm dummies but the number of (lagged) storm dummies with significant coefficients is much smaller compared to the (lagged) flood dummies. Overall, storms and floods appear to have generated positive demand shocks for labor and capital (of similar magnitude) for recovery and reconstruction purposes but have disrupted sales in the short run. We illustrate the estimation results in detail below.

4.3.1 Impact on Labor Growth

The coefficients of the three storm dummies (STMx=1,2,3) and the three flood dummies (FLDx=1,2,3) are close to zero and insignificant. Therefore, storms and floods do not have a significant immediate impact on labor growth in the same year as their occurrence. But storms appear to have a positive and significant lagged impact on labor growth (around 1.1%) 2 years later with the economic damage measure, or 3 years later with the physical intensity and death measures. Flooding increases labor growth significantly in the next three years, especially with the physical intensity and economic damage measures. Specifically, flooding stimulates post-flood labor growth in stricken provinces by 1.7–2.7% one year later and 0.8–1.5% three years later.

4.3.2 Impact on Capital Growth

All coefficients of the three storm dummies and their lags are positive, but most are close to zero and insignificant except for the economic damage measure (0.023 with p-value 0.00 for STM3 and 0.015 with p-value 0.05 for L.STM3). Storms often damage and destroy physical capital (e.g., factories, machinery and equipment, raw materials, and inventories). The value of the physical capital destroyed is highly correlated with the economic damage reported. Therefore, we expect a larger and stronger relationship between the economic damage measure and the growth in monetary values than the other two disaster measures. The coefficients of the flood dummies and their first and second lags are positive and mostly significant. Therefore flooding also stimulates capital growth in flood-stricken provinces in the short run (within three years), which is stronger than the impact of storms.

The positive (lagged) impacts on the growth of capital and labor in disaster stricken provinces could be due to post-disaster recovery and reconstruction. The short-run impacts of cyclones and tornados on (local) labor growth in the literature are negative, but vary across industrial sectors (e.g., Belasen and Polachek 2008, 2009; Ewing et al. 2003, 2009). Storms and floods may increase the demand for capital and labor of firms hit directly to resume production, and of firms not hit directly taking over some of the production shortfalls from firms hit directly. Similarly, when a natural disaster strikes, it damages physical capital, and devastated capital may not only be replaced, but upgraded using more advanced (up-to-date) technologies. Further, older infrastructure and buildings are more prone to damage from disasters, and the reinvestment and replacement of such facilities may take place. We can view this post-disaster input growth as ‘reversing to the mean’.

But it takes time to adjust capital and labor for recovery and reconstruction. Since most storms and floods in Vietnam occur between August and November, it is not surprising to find limited evidence of immediate impacts but more evidence of lagged impacts on firm growth in capital and labor.

4.3.3 Impact on Sales Growth

Storms have no immediate impact on sales growth with the physical intensity and the number of deaths measures but have a positive and significant immediate impact on sales growth (0.02 with p-value 0.02) with the economic damage measure. However storms have significant negative lag effects on sales growth after two to three years (ranging from − 0.022 to − 0.031). The coefficients of the three flood dummies and their lags are all negative. Flooding has an immediate significant negative impact on sales growth in the same year but not beyond with the death toll (− 0.015) and damage measures (− 0.029). Flooding also negatively impacts sales growth one year later (− 0.023 with p-value 0.01) with the physical intensity measure (i.e., geographical area affected).

The negative effects on sales growth could be caused by the disruption of supply chains, sales network, and public infrastructure (e.g., roads, electricity, water, and telecommunication), apart from production disruption. Besides, storms and floods may also cause negative demand shocks. For instance, natural disasters may negatively affect agriculture production and reduce rural household incomes and demand for industrial products (e.g., Sivakumar 2005). Similar to the capital and labor adjustments, it also takes time to recover the disrupted supply chains and the damaged public infrastructure.

Apart from the impacts on surviving firms, natural disasters may force some (e.g., less efficient) firms to go bankrupt (Uchida et al. 2014). But firms may still struggle to stay afloat for some time before exit. Although capital is important for recovery (De Mel et al. 2012), financing for investment may be difficult and time consuming due to financial frictions and loss of collateral by natural disasters in Vietnam. Therefore, these firms may resort to lowering wages first and/or laying off workers later, but ultimately exit the market. This may to some extent explain the stronger evidence for the lagged impact on the growth of labor and capital than the immediate impact, especially for flooding.

Our results are similar to the findings in Leiter et al. (2009) for Europe, namely that positive input growth doesn’t lead to positive sales (and output) growth.Footnote 39 Leiter et al. (2009) argued that storms and floods in Europe may induce investment activities in production factors that go beyond the sole replacement of disaster losses and result in a less productive factor composition in the short run. This argument may also be valid in explaining our findings of disaster impacts for Vietnam.

We notice one large difference in the impact of storms on sales growth with the three disaster measures. Specifically, the impact of storms on sales growth in the same year as storms strike is positive and significant (0.02 with p-value 0.02) based on the economic damage measure (STM3), but is close to zero and insignificant based on physical intensity and number of deaths. This difference cannot be explained by measurement errors and attenuation bias, because the dynamic GMM method tackles measurement errors and endogeneity in the models by using instruments.

To explain this difference, we decompose sales growth across firms of different capital intensity.Footnote 40 The idea is that more capital intensive firms in manufacturing may have more physical capital and be more exposed to storms and floods. The results are reported in “Appendix 4” (Table 14). We find that the positive and significant immediate storm impact with the damage measure comes from labor (low capital) intensive firms only (0.043 with p-value 0.00 for STM3 and 0.027 with p-value 0.06 for L.STM3). The immediate and lagged one period impacts for firms of medium and high capital intensity are small and insignificant. Noticeably, the negative and significant lagged impact of storms (L2.STM3 and L3.STM3) on sales growth is the largest (and significant) for medium capital-intensive firms and the smallest (and insignificant) for labor intensive firms.

One explanation for the above findings is that labor-intensive firms may have lower capital adjustment costs and physical damages, hence they can quickly adjust their capital stock and resume their production and sales. The more pronounced negative lagged impact of storms on sales growth for capital intensive firms implies that capital-intensive firms likely need more time to adjust and repair damaged capital and to resume production and sales.

To summarize, we find a significant positive impact of flooding on input growth (labor and capital) and a significant negative impact on sales growth in the short run. Storms have significant positive lag effects on labor growth and negative lag impacts on sales growth up to three years after occurrence. Moreover, the immediate impacts of storms on capital growth and sales growth are positive and significant with the economic damage measure only.

Notably the impacts of storms and floods on firm growth are overall consistent with one another in sign, and also in scale to some extent (with a slight variation in the timing of their impacts), across the three different types of disaster severity measures. This consistent picture of micro level disaster impacts is different from Felbermayr and Gröschl (2014). They found a substantial negative and robust average impact of disasters on growth with the physical intensity measure but a positive (albeit insignificant) impact with the damage measures. But the sign of the impact turns negative (insignificant) for the damage measures when they focused on large disaster events. We also focus on more severe storms and floods in this paper.

There are two possible explanations for this difference of disaster impacts with different disaster measures at the macro and micro level. First, as argued in Felbermayr and Gröschl (2014), cross-country regression studies on disaster impacts using damage measures suffer from endogeneity. This is because both the monetary damages and the quality of damage reporting tend to be higher in rich countries. Hence the damage measures are correlated with GDP. These effects are more important in a cross-country study with substantial heterogeneity in GDP and reporting of damages, and less so in a within country study where these variables would be more homogenous. Besides, the damages reported in EMDAT for Vietnam are aggregated from multiple affected provinces, which reduces the possible positive correlation between the reported damages and the income level and reporting quality across provinces. Second, Feblbermayr and Groschl (2014) studied the aggregate impact of natural disasters on the whole economy, while we focus on the manufacturing sector only. Natural disasters may have different impacts on different sectors, such as agriculture (Sivakumar 2005), finance (Hosono et al. 2016; Klomp 2014), and service (Rosselló et al. 2020). These two arguments may explain to some extent the different results at the macro and micro level.

We are aware that storms and floods are mostly local events and have been shown to have short-run negative effects on local employment, earnings, and the economy, although the overall impact may be fully or partially ‘aggregated out’ at regional or national level (Ewing et al. 2003; Banerjee 2007; Belasen and Polachek 2008, 2009; Strobl 2011; Bertinelli and Strobl 2013; Elliott et al. 2015; Mohan and Strobl 2017; Del Valle et al. 2018). Therefore, our analysis could benefit from higher frequency information both at the spatial and temporal levels. But due to data limitations, our analysis is restricted to per province per year levels.

At the spatial level, the coefficients of our disaster dummies and their lags capture the average disaster impacts for firms in provinces stricken by storms and/or floods compared to firms in provinces without storms and floods. These average impacts also include within province substitution effects experienced by firms that are not directly hit by natural disasters.Footnote 41 Although we are not able to identify the likely heterogenous impacts of floods and storms on areas more disaggregate than the provincial level, we learn more about the aggregated net impacts of a disaster on firms in a province, signaling the important impacts of storms and floods on the aggregate economy in Vietnam. Moreover, the geographical sizes of most provinces in Vietnam are relatively small with a median of 3530 km2. The larger provinces are mostly in Central Highlands, Central Coast, and Northwest of the country and are less populous and have fewer firms (compared to the Red River Delta and South East), although firms in these regions are likely to be more vulnerable to natural disasters.

At the temporal level, although we have no data to show the impact dynamics at a higher frequency level (e.g., monthly or quarterly) like Banerjee (2007) and Mohan and Strobl (2017), we argue that this is not a concern since most storms and floods in Vietnam occur between August and November in a year and the concurrent disaster variables can capture the immediate short run disaster impacts (within 1–4 months, if any) to some extent. Besides, it is also interesting to identify whether disaster impacts last longer than a few months by including lagged disaster dummies at an annual level.

The disaster impact may be spatially correlated as severe storms and floods may hit multiple provinces in Vietnam, albeit with varying severities. This spatial correlation can be addressed to some extent by including fixed effects and by clustering. According to Abadie et al. (2017), clustering is in essence a design problem, either a sampling design or an experimental design issue. With fixed effects, one should cluster if there is heterogeneity in the treatment effects and there is clustering either in the sampling or in the treatment assignment.

The Enterprise Census data we used are not clustered in the sampling, but the treatment assignment may be clustered across multiple provinces stricken by storms and/or floods. Our estimation actually takes care of the possible spatial correlation on the treatment effect. If a disaster affects multiple provinces, the disaster dummy will be equal to 1 for firms in all provinces that are directly stricken, but 0 for firms in other provinces without a natural disaster. Therefore, the coefficient for the disaster dummy actually captures the average impact of the disaster on firms from all stricken provinces. We are aware that the average disaster impact may be heterogenous across the stricken provinces with varying disaster intensities. This provincial level heterogeneity in the disaster impact can be captured to some extent by the fixed effects in the model. Therefore, the impact of the possible spatial correlation is taken care of by the construction of our disaster variables and the fixed effect in the model. Note that it is impossible to cluster at the regional level (with multiple provinces) as we study the impacts of multiple storms and floods over a span of 15 years with varying clusters. Finally, we argue that cross-region spillover effects of storms and floods are less concerning because most firms in Vietnam are clustered in three (Northern, Central, and Southern) key economic zones (KEZs) that specialize in different industrial activities (see Figs. 1, 2, 3 in “Appendix 3” for a map of the KEZs).Footnote 42

Fig. 2
figure 2

Source: Luu et al. (2019)

Spatial patterns of flood risk assessment by provinces in Vietnam.

Fig. 3
figure 3

Source: Asia Perspective (2019)

Vietnam's four key economic zones.

4.4 Other Determinants of Firm Growth

The coefficient estimates for other variables are similar and robust to the disaster measures used in the growth models. Therefore, we report their estimation results once (instead of three times) for each growth measure with disasters defined based on the economc damage in Table 6 (full sample).Footnote 43 Overall the coefficient estimates are consistent in sign with the findings in the empirical literature on firm growth.

Table 6 Estimation results for firm growth: autocorrelation, size, age, financial variables, and other variables

4.4.1 Autocorrelation

The autocorrelation is up to three lags for both labor growth and sales growth, and up to five lags for capital growth. The autocorrelation coefficients are all negative and significant for labor growth (− 0.21, − 0.05 and − 0.01) and negative but insignificant with its first lag for sales growth (− 0.19 with p-value 0.15). For capital growth, the autocorrelation is negative with the first two lags but becomes positive with the latter three lags, although only the autocorrelations with the first lag (− 0.378) and the fourth lag (0.04) are significant. However, dropping insignificant lagged growth leads to rejections of the GMM autocorrelation tests and the Hansen overidentification tests. The results show that firm growth in labor, sales, and capital show some degree of negative autocorrelation and hence rapid growth is not persistent in the short run.

4.4.2 Size and Age

Firm size matters for firm growth, but with varying signs across the growth measures, rejecting Gibrat’s Law. Specifically, labor growth decreases with firm size (− 0.011) while capital growth and sales growth both increase with firm size (0.024 and 0.037). The latter observation is consistent with the findings in Bentzen et al. (2012) for Danish firms. Across all three growth measures, firm growth decreases significantly with firm age at an increasing speed, which is more pronounced for large firms.

4.4.3 Financial Variables

In our data, CFK, DAR, and IKx significantly increase with firm size and CKK significantly decreases with firm size. Besides, the averages and medians of CFK and DAR are the largest for state-owned firms (SOEs) and the lowest for private firms. The averages and medians of CKK are the highest for private firms and the lowest for foreign firms.Footnote 44 All these variables are lagged once in the growth models.

The coefficients of DAR are negative for all growth measures and significant for labor growth (− 0.024 with p-value 0.00) and sales growth (− 0.072 with p-value). But capital growth significantly decreases with the leverage ratio for large firms with more than 200 employees. The coefficients of CFK are negative and significant for sales growth but positive and significant for capital growth.Footnote 45 Financial constraints matter more for capital investment compared to labor growth and sales growth. The coefficients of CKK are negative and significant for labor growth and sales growth, but positive and significant for capital growth. Capital growth is higher for firms with a low share of fixed assets and long term investment in total assets but it is the opposite for labor growth and sales growth.

Overall, the coefficient estimates for the financial variables confirm that financial constraints play an important role in firm growth.

4.4.4 Other Variables

Firm investment rate one year ago has positive and significant impacts on both labor growth (0.009) and sales growth (0.025). This positive relationship is as expected because investment rates reflect growth opportunities. Moreover, capital invested last period often becomes productive this period and may stimulate the demand for labor and ultimately increase production and sales. Finally, we observe that capital growth and sales growth decrease while labor growth increases signficantly with both (log) mean wage per worker and the share of female workers. Labor growth is faster for firms that pay higher wages or have higher shares of female workers.

4.5 Robustness Checks

We perform some robustness checks, including estimating the growth models separately for small and medium sized firms and large firms (Tables 6, 7), pooling storm and flood together, varying the cutoff values for defining the disaster dummies (Table 8), and examining an alternative measure of firm growth, namely value added (VA) growth (Table 9).

Table 7 Impacts of storms and floods on firm growth
Table 8 Disaster impact on firm growth: pooling storms and floods with varying cutoff values
Table 9 Impacts of storms and floods on valued added growth

4.5.1 Disaster Impacts for Small and Medium Sized Firms (SMEs) Versus Large Firms

We first investigate the possible heterogeneous disaster impacts between SMEs and large firms. Here we borrow the definition of SMEs from the Law on Support for Small and Medium-sized Enterprises (SMEs) in Vietnam and define SMEs as firms with an average number of employees no more than 200.Footnote 46

SMEs play an important role in the economy of Vietnam. 83% of the observations in the Enterprise Census data are SMEs, accounting for 41% of aggregate output and 26% of aggregate employment in 2014. Almost 85% of the SMEs are private firms, whereas almost 60% of the large firms are state-owned and foreign firms.Footnote 47 Besides, around 48% of the large firms are located in South East, a region less prone to both storm and flood risks compared to other regions.Footnote 48 SMEs are also much smaller in total assets and sales and younger than large firms.

Therefore, SMEs and large firms may differ largely in their growth patterns, growth barriers, capital structure, resilience against storms and floods, and other features (e.g., ownership types and locations). The impacts of storms and floods on their growth may be different as well. For instance, SMEs may be less experienced and less resourceful in dealing with natural disasters compared to large and older firms. SMEs may be more labor intensive and have lower shares of tangible assets that are more vulnerable to storms and floods compared to large firms. On the other hand, large firms in Vietnam are more capital intensive and more involved in R&D activities than SMEs and hence may have a higher share of intangible assets that are less vulnerable to natural disasters.

We estimate the growth models separately for SMEs and large firms. Table 7 presents the coefficient estimates for the disaster dummies of the firm growth models for SMEs and large firms. The rest of the coefficient estimates are reported in Table 6. Overall the impacts of storms and floods on firm growth are different between SMEs and large firms. In most cases the disaster impacts are larger and more persistent for SMEs than for large firms.Footnote 49

4.5.2 Labor Growth

Storms have no immediate impacts, but have some significant positive lag impacts on labor growth for both SMEs (two to three years later) and large firms (one year later). The immediate impacts of flooding on labor growth is small and insignificant. For SMEs and large firms, we observe similar positive lag impacts on labor growth one year after flooding, which persist two more years for SMEs.

4.5.3 Capital Growth

The impacts of storms and floods on capital growth are different between SMEs and large firms. The flooding impacts are positive and significant for SMEs, but mostly negative and insignificant for large firms. Storms have no significant impacts on capital growth for SMEs (except with the economic damage measure), but have significant positive lag impacts on capital growth for large firms (two to three years later) for all three disaster measures.

4.5.4 Sales Growth

The impacts of storms and floods are mostly negative on sales growth for both SMEs and large firms, but the patterns are different across the disaster measures. Storms have significant negative lag impacts on sales growth two or three years after their occurrence for SMEs, whereas the impacts are smaller (in absolute term) for large firms in most cases. Flooding reduces sales growth more for SMEs than large firms in the same year and one year later. But we also observe some exceptional cases in which the disaster impacts on sales growth are stronger for large firms than SMEs. For instance, the coefficients of FLD1, STM2 and L2.STM2 are negative and significant for large firms while they are close to zero and insignificant for SMEs.

To summarize, the impacts of storms and floods on firm growth are overall more pronounced and more persistent for SMEs than large firms, regardless of whether they are positive or negative. Large firms may be more experienced and more prepared for recurrent storms and floods and hence experience lower physical damage than SMEs. With potentially more physical damage and lower shares of fixed assets and long term investment in total assets, SMEs are more responsive to storms and floods than large firms in capital and labor adjustments. Besides, the disruption of public infrastructure and sales network caused by storms and flooding reduces the sales growth for both SMEs and large firms.

The coefficient estimates for other variables are mostly of the same signs between SMEs and large firms, albeit with varying scales, except for lagged growth rates (see Table 6). The patterns of autocorrelation in growth differ between SMEs and large firms. For instance, the autocorrelation of labor growth is negative and significant with its first three lags for SMEs, but is significant and negative with its first lag and turns positive and significant with its second and third lags for large firms. The autocorrelation of capital growth is significant and positive up to two lags for large firms, which is opposite to the pattern observed for SMEs. Finally, the autocorrelation is negative and insignificant with its first two lags but turns positive and significant with its third lag for large firms, while they are all negative for SMEs. Firm growth is not persistent, which is more so for SMEs than large firms.

4.5.5 Grouping Storms and Floods Together Within the Same Year

Next, we investigate the combined (net) disaster impacts on firm growth by grouping storms and floods together in a year in the same province. The motivation is that storms and floods are often closely related. Tropical storms are often associated with heavy rainfall that may cause flooding and hence it is not easy to separately identify their impacts on firm growth when they occur alongside each other. In this case it is more interesting to study their combined net effects. Table 8 presents the results with the disaster dummies DISx equal to one if either the storm dummy (STMx) and/or the flood dummy (FLDx) is equal to one (x = 1, 2, 3).

The combined disaster impacts obtained are positive and persistent for labor growth and capital growth, which is true across all three disaster dummies defined based on different measures. Although there are no immediate impacts on labor growth, the significant positive disaster impacts on labor growth last for three years. Storms and floods stimulate capital growth in the same year and also in the following two years after their occurrence. Different from input growth, the combined net disaster impacts on sales growth are close to zero and insignificant except for the second lag (− 0.012 for DIS3 and − 0.018 for DIS1). We no longer observe any large and significant disaster impacts on sales growth in the same year. The coefficients of the disaster dummies are also smaller than the coefficient estimates for storms and floods in Table 5 (in absolute terms).

4.5.6 Varying the Cutoff Values for Defining Disaster Dummies

Although the cutoff values used for defining the storm and flood dummies are mostly close to their respective sample medians, the choices remain arbitrary. Therefore, we perform additional robustness checks by varying the cutoff values for defining the disaster dummies. We present the estimation results with both higher and lower cutoff values for defining disaster events in Table 8. When we increase the cutoff values for defining storms and floods, we in fact look at the impacts of more severe disasters in terms of physical intensities, deaths, and estimated economic damage. The number of observations with natural disasters becomes smaller with higher cutoff values and vice versa with lower cutoff values. The coefficients and their significance change slightly but remain robust to the adjustment of the cutoff values for definining the disaster variables for all growth models.

4.5.7 Alternative Measure of Firm Growth: Value Added Growth

Another commonly used measure of firm size in the firm growth literature is value added (VA hereafter) that reflects firm production, whereas sales not only reflect production but also idiosyncratic demand shocks. In the Enterprise Census data, value added is not directly reported but can be calculated as the sum of labor costs, profits, and depreciation. Hence VA is likely to suffer from measurement errors. Besides, the number of observations with non-missing VA is smaller than other size and growth measures. Hence sample selection bias could be larger with the VA growth measure than other growth measures. For these two reasons, we interpret the disaster impacts on value-added growth with caution.

Table 9 presents the estimation results.Footnote 50 Similar to sales growth, almost all coefficients of the storm and flood dummies and their lags are negative. First, the impacts of storms on value added growth are mostly negative and significant, albeit with varying persistence across the three storm measures. The impacts of storms on value added growth last for four years with the physical intensity measure, but only one year with the economic damage measure. Second, floods also negatively impact value added growth, but this effect differs in scale and significance across the three flood measures. Only the coefficient for the fourth lag of the flood dummy is significant with the physical intensity measure. Flooding significantly reduces value added growth in the same year as well as two and three years later with both the number of deaths and the economic damage measures. Overall storms and floods have negative impacts on value added growth.

4.6 The Economic Impact of Storms and Floods on Firm Growth

The estimated coefficients for the storm and flood variables reported above show the causal impact of storms and floods on firm growth. To understand the disaster impacts more intuitively, we further convert the causal econometric results to (indirect) economic impacts (e.g., Elliott et al. 2015).

We first illustrate the conversion of the econometric results to economic impacts for labor growth in five steps. The conversion is similar for capital growth and sales growth. First, we sum the product of the (lagged) storm and flood variables with their corresponding (significant) coefficients. Second, we take the exponential transformation of the sum in the first step and minus one. Third, we multiply the value in the second step with the values of labor from the previous period for each firm. Fourth, we sum the values from step three across firms to arrive at the aggregate net changes in labor caused by storms and floods. Finally, we scale the aggregate net changes in employment by total employment from the previous year to arrive at the percentage change in total employment caused by storms and floods.

After conversion, we find that on average, storms and floods together increase the total employment by 0.25–0.43% and the total capital by 0.28–0.68%, but decrease the aggregate sales by 0.24–0.30% per year for Vietnam manufacturing, depending on the disaster measures. The annual loss of aggregate sales by storms and floods varies across years ranging from 1.1 MUSD in 2005 to 260 MUSD in 2008 with the economic damage measure.Footnote 51,Footnote 52 As a comparison, the largest direct economic damage recorded in EMDAT for Vietnam before 2015 is 640 MUSD (in 2013 dollar value) by typhoon Ketsana in 2009 whereas the estimated loss of aggregate sales is 170 MUSD in the same year with the economic damage measure. The total loss of aggregate sales during 2004–2014 ranges from 390 to 620 MUSD, depending on the disaster measures. This is smaller than the total annual net economic loss of 1 billion USD by typhoons for coastal China (Elliott et al. 2015), but not unreasonable because we focus on the sales in manufacturing while they studied the whole coastal economy in China.

5 Conclusion

In this paper we empirically identify the impacts of storms and floods on firm growth in labor, capital, and sales, using the Enterprise Census data (2000–2014) matched with three different disaster databases for Vietnam (EMDAT, GAME, and DFO). We assess and compare the growth impacts of different disaster measures that are defined based on physical intensities, number of deaths, and economic damage.

We find positive and significant impacts of flooding on labor growth and capital growth, and negative impacts on sales growth in the short run. The patterns for the impacts of storms on production factor growth are similar to the impacts of floods but with fewer significant coefficients. The positive (lagged) impacts on input growth could be due to post-disaster recovery and reconstruction. The impacts of storms on sales growth is mixed with some evidence of positive immediate impacts and negative lagged impacts, possibly due to the destruction of public infrastructure, supply chains, sales network, and negative demand shocks caused by storms and floods. Noticeably, the positive input growth doesn’t lead to positive sales growth and output growth, similar to the findings in Leiter et al. (2009) for Europe. The argument of Leiter et al. (2009) may also be valid for Vietnam, namely that storms and floods may induce investment activities in production factors that go beyond the sole replacement of disaster losses and result in a less productive factor composition.

In this paper we make two methodological contributions to the literature. First, we pioneer in comparing the performance of different disaster measures that are defined based on physical intensities and socioeconomic losses (deaths and economic damages) at the firm level. We find that, the disaster impacts on firm growth are mostly consistent in signs and scales across the three disaster severity measures. This consistency is in contrast to the findings of aggregate disaster impacts at the macro level reported in Felbermayr and Gröschl (2014). Therefore both physical intensity and damage measures are reliable proxies for disaster severity and can be used to study the average disaster impacts across firms. Second, we estimate firm-level disaster impacts by the system GMM method, which accounts for endogeneity and measurement errors in variables. The estimation results are robust to the number of lagged values used as instruments. The successful application of the method can be extended to data from other countries to generate more insights into firm-level disaster impacts.

While we find that storms and floods on average have positive and significant impacts on labor growth and capital growth, more detailed analyses show a different picture for SMEs and large firms. The growth impacts of storms and floods are in general larger and last longer for SMEs than for large firms. It could be that SMEs are less capital intensive and experience lower physical damages and can adjust their input more quickly. But SMEs also experience larger negative impacts on sales growth, possibly due to the damage of public infrastructure and the disruption of supply chains.

For ease of understanding, we further convert the econometric results on firm growth to economic impacts. The increase in employment (capital) as a share of total employment (capital) is 0.25–0.43 (0.28–0.68) percent, while the share of aggregate sales loss is 0.24–0.30% caused by storms and floods. The value of the aggregate sales loss in some years with severe storms and floods can be as large as 260 MUSD.

This paper is not without limitations. First, we examine the impacts on firm growth for storms and floods only. We are aware of the different nature of different disasters and do not seek to generalize the findings to all types of natural disasters. Second, due to data limitations, the disaster measures used in this paper cannot distinguish firms hit directly from firms not hit directly by natural disasters. The disaster dummies are defined at provincial levels, whereas disasters may impact areas smaller than a province. Nevertheless, with this approach we learn more about the aggregated net impacts of a disaster on firms in a province, including substitution effects experienced by firms that are not directly impacted. We suggest to extend the study to other countries with a broader variety of natural disasters to obtain a more complete picture of the firm level impacts by different types of natural disasters in the future. Moreover, future research can complement our study and provide more detailed insights into disaster impacts and mitigating factors by conducting a firm level survey that collects more detailed information on natural disaster impacts, such as whether firms are directly or indirectly hit by a natural disaster and the associated damages. Finally, natural disasters may have different impacts across sectors (e.g., agriculture, finance, tourism, et cetera), for which the empirical evidence remains thin. Therefore it is interesting to explore disaster impacts in these sectors for future research.