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Method-Specific Suicide Rates and Accessibility of Means

Abstract. Background: Few studies have investigated whether means accessibility is related to the spatial distribution of suicide. Aims: To examine the hypothesis that indicators of the accessibility to specific suicide methods were associated with method-specific suicide rates in Taipei City, Taiwan. Method: Smoothed standardized mortality ratios for method-specific suicide rates across 432 neighborhoods and their associations with means accessibility indicators were estimated using Bayesian hierarchical models. Results: The proportion of single-person households, indicating the ease of burning charcoal in the home, was associated with charcoal-burning suicide rates (adjusted rate ratio [aRR] = 1.13, 95% credible interval [CrI] = 1.03–1.25). The proportion of households living on the sixth floor or above, indicating easy access to high places, was associated with jumping suicide rates (aRR = 1.16, 95% CrI, 1.04–1.29). Neighborhoods’ adjacency to rivers, indicating easy access to water, showed no statistical evidence of an association with drowning suicide rates (aRR = 1.27, 95% CrI = 0.92–1.69). Hanging and overall suicide rates showed no associations with any of these three accessibility indicators. Limitations: This is an ecological study; associations between means accessibility and suicide cannot be directly inferred as causal. Conclusion: The findings have implications for identifying high-risk groups for charcoal-burning suicide (e.g., vulnerable individuals living alone) and preventing jumping suicides by increasing the safety of high buildings.

Preventing suicide is a global public health priority. Worldwide, an estimated 800,000 people die by suicide each year (World Health Organization, 2018). Previous time trend studies show that changes in the popularity and accessibility of means for suicide, such as coal or car exhaust gases (Thomas et al., 2011) or pesticides (Gunnell et al., 2007), may influence suicide rates. Person-based studies also indicate that easy access to lethal means such as firearms is related to individuals' suicide risk . These studies have informed suicide prevention strategies involving the restriction of access to lethal means (Yip et al., 2012). However, fewer studies have examined spatial variations in suicide rates of various methods in relation to means accessibility. The identification of factors associated with such variations could inform local suicide prevention programs.
Previous studies from Taiwan and the United States showed that areas with higher levels of agricultural workers (i.e., an indicator of accessibility to pesticides) or household firearm ownership (i.e., an indicator of accessibility to firearms) had higher suicide rates by pesticide poisoning Lin & Lu, 2006) or firearms (Opoliner et al., 2014), respectively. These studies were based on rather large geographic regions and did not focus on urban areas, although the majority of the world's population now live in urban areas (United Nations, 2019) and past studies reported large variations in suicide rates within cities (Gotsens et al., 2013;Lin et al., 2019). However, factors associated with geographical variations in method-specific suicide rates in urban settings have rarely been studied. Marzuk et al. (1992) compared suicide incidence across five boroughs in New York City in [1984][1985][1986][1987] and found that the differences in methodspecific suicide rates between boroughs might be largely due to differences in accessibility to lethal methods of suicide such as jumping from a height.
The use of some suicide methods such as charcoal burning, jumping, and drowning increased recently in some Asian cities. Suicides from carbon monoxide poisoning by burning barbecue charcoal in a sealed space increased markedly in Hong Kong and urban Taiwan from the late 1990s (Liu et al., 2007). A recent study showed that people who died by charcoal-burning suicide were more likely to live alone than those who killed themselves using other methods . The ease of implementing charcoal burning without discovery or interruption in the home could be a possible contributing factor to the increased risk of charcoal-burning suicide in individuals living alone. Therefore, the proportion of individuals living alone could be associated with area variations in charcoal-burning suicide, although, to date, this has not been investigated.
Jumping from high-rise buildings is the main method for suicide in Hong Kong and Singapore (Yip & Tan, 1998), where more than 80% of the residents live in high buildings. In Taiwan, there was an increase in suicide by jumping from the early 1990s onward (Lin & Lu, 2008), and a previous study showed a relationship between the proportion of households living in high-rise accommodation and jumping suicide rates across 23 cities/counties in Taiwan (Lin & Lu, 2006). However, it is unclear whether the proportion of individuals living at high levels is related to area variations in jumping suicide rates within cities.
Easy access to water may increase the risk of suicide by drowning; alternatively, being exposed to blue spaces, that is, visible waterbodies or surface waters including streams/rivers in cities (Britton et al., 2020), may reduce stress and negative feelings and in turn improve mental health and decrease suicide risk (Helbich et al., 2018). However, there are no previous studies examining whether proximity to rivers is specifically associated with increased use of drowning as a method of suicide. A previous study from Taiwan showed increased incidence of suicide by drowning in coastal areas and cities with harbors or located close to major rivers . A recent study from two coastal areas of Vietnam, where there were a high number of drowning deaths in young populations, showed an association between living in close proximity to a river and increased overall mortality rate (Kim et al., 2014). By contrast, another study from the Netherlands showed no association between proximity to blue spaces and overall suicide rates (Helbich et al., 2018).
We investigated the associations between indicators of means accessibility and method-specific suicide rates in Taipei City, Taiwan (population: 2.7 million). Specifically, we aimed to examine the hypothesis that the three indicators of the opportunity of implementing or accessing particular methods of suicide, namely (i) the proportion of single-person households, (ii) the proportion of households living on the sixth floor or above, and (iii) a neighborhood's adjacency to rivers, were specifically associated with area rates of suicide by charcoal burning, jumping, and drowning, respectively, but not associated with rates of suicide by hanging.

Suicide and Population Data
Suicide data were extracted from the cause-of-death mortality files among people aged 10 years and above in Taipei City during 2004-2010. Suicide deaths were identified using the International Classification of Diseases, Tenth Revision (ICD-10) codes X60-X84. Deaths of undetermined intent (Y10-Y34), injury due to suffocation (W75, W76, W83, and W84), and injury due to pesticide poisoning (X48) were also identified as previous studies from Taiwan indicated that many deaths in these categories were likely to be misclassified suicides (Chang et al., 2010). Certified and possible suicides combined are referred to as "suicides" throughout the paper.
We identified suicides using different suicide methods based on the following ICD-10 codes: X67 (charcoal burning), X70 (hanging), X71 (drowning), and X80 (jumping). Corresponding codes for undetermined death (Y17 for charcoal burning, Y20 for hanging, Y21 for drowning, and Y30 for jumping) and suffocation injury (W75, W76, W83, and W84 for hanging) were also used. Suicide and undetermined death of all other methods and injury of pesticide poisoning were classified as the "other methods" group. Each suicide was assigned to one of the "neighborhoods" (n = 432), an administrative geographic unit, based on the residential address recorded in the mortality data files. Due to the small numbers of suicides using some methods, data were aggregated over the entire 7-year study period. Nevertheless, there were still some neighborhoods with no suicides by specific methods (e.g., 58.1% of neighborhoods had no drowning suicides; Table  A1 in the Appendix).
The population data were from the household registration data files. In Taiwan, there is a household registration system that provides monthly population statistics at the neighborhood level. The median neighborhood population aged 10 years and above was 5,050 (M = 5,500; SD = 2,400; range 840-31,300) in Taipei City over the study period.
The study was approved by the National Taiwan University Hospital Research Ethics Committee (201512030RINC).

Data on Area-Level Characteristics
Data for median household income and the proportion of divorced/separated adults were extracted from Income Tax Statistics (2004)(2005)(2006)(2007)(2008)(2009)(2010) and the 2000 census, respectively. We used these two variables to capture the neighborhoods' levels of socioeconomic position and social fragmentation, respectively, which showed a strong and independent association with neighborhoods' overall suicide rates in previous studies (Lin et al., 2019).
Three proxy indicators were used to measure the opportunity or accessibility of implementing specific suicide methods: 1. The neighborhood's proportion of single-person households was used to measure the ease of using the charcoal burning method. 2. The neighborhood's proportion of households living on the sixth floor or above was used to measure the accessibility to high places used for jumping (Lin & Lu, 2006). 3. A binary variable identifying whether or not a river flowed through the neighborhood or along its boundary was used to measure the accessibility to the drowning method. Among 432 Taipei City's neighborhoods, 96 (22.2%) were defined as adjacent to rivers. We conducted a sensitivity analysis using a continuous variable of the direct distance from the center point (centroid) of each neighborhood to the nearest river.
Data for the proportions of single-person households and households living on the sixth floor or above were obtained from the 2000 census. The geographic data for neighborhood boundaries and rivers were obtained from the open data website of the Taipei City government (https://data.gov.tw/). The river accessibility variables, binary or continuous, were created using the join function in ArcGIS version 10.5.

Statistical Analyses
Age-standardized (in 5-year age-bands) mortality ratios (SMRs) for suicide using different methods among people aged 10 years and above were calculated for each neighborhood. We used Bayesian hierarchical models to estimate the 'smoothed' SMRs and examine the associations between means accessibility indicators and methodspecific suicide rates. The Bayesian hierarchical model is a Poisson regression model with two random effects accounting for the heterogeneity of suicide rates across Taipei City (i.e., global [unstructured] variability across the whole study region) as well as between the neighboring areas (i.e., local [structured] variability across neighborhoods sharing a common boundary) (Besag et al., 1991;Congdon, 1997). The dependent variable was the number of suicides in each neighborhood, and the expected number of suicides was included as the offset in the model. The standard errors of unstructured and structured variability were specified using a uniform distribution (0, 5) in the main analysis (Gelman, 2006) and using a gamma distribution (0.01, 0.01) for the inverse of the variance as the alternative prior in the sensitivity analysis (Mollie, 2001). The standardized values (i.e., z scores) of studied variables, or their log-transformed values if the raw values were skewed, were used in the regression analyses. Rate ratios (RRs) and their 95% credible intervals (CrIs) were estimated. Adjusted RRs (aRRs) for means accessibility indicators were estimated in models adjusting for the two socioeconomic characteristics (i.e., median household income and the proportion of divorced/separated adults). Bayesian hierarchical models were estimated using the Markov-chain Monte Carlo method (Gilks et al., 1996) in WinBUGS version 1.4 (Speigelhalter et al., 2003). To ensure the stability of Bayesian posterior processes, we examined both the graphical histories of the simulated rate ratios and the Gelman-Rubin convergence statistics (Gelman, 2006). Details of model estimations and the results of sensitivity analyses are provided in the Appendix.

Results
There were 2,994 suicides among people aged 10 years and above (65.3% males) in Taipei City (2004)(2005)(2006)(2007)(2008)(2009)(2010) and the annual rate of suicide was 18.1 per 100,000 population aged 10 years and above. Deaths by hanging (n = 892; 29.8%), charcoal burning (n = 859; 28.7%), jumping (n = 566; 18.9%), and drowning (n = 275; 9.2%) accounted for 86.6% of all suicides (Table 1). Table A1 in the Appendix shows the distribution of neighborhoods' suicide numbers by method. After excluding the 10% extreme values, there was still a 1.94-fold difference in the SMRs for suicide across the 432 neighborhoodsthe mid-90% ratio (i.e., the value of the 95th centile of the SMRs divided by the value 5th centile) of suicide SMRs was 1.94 (Table 1). Such a geographic variation was largest for drowning (mid-90% ratio = 3.77), followed by charcoal burning (2.65), hanging (1.53), other methods (2.01), and jumping (1.20). Table 2 shows the associations of method-specific suicide rates with area socioeconomic characteristics and means accessibility indicators. The proportion of divorced/ separated adults was positively associated with overall and method-specific suicide rates (except hanging and other methods), while median household income was negatively associated with overall and method-specific suicide rates (except jumping). After adjusting for these two socioeconomic characteristics, charcoal-burning suicide rates were specifically associated with single-person households (aRR = 1.13, 95% CrI = 1.03-1.25), while jumping suicide rates were specifically associated with households living on the sixth floor or above (aRR = 1.16, 95% CrI = 1.04-1.29). By contrast, no associations were found between drowning suicide rates and neighborhoods' adjacency to rivers (aRR = 1.27, 95% CrI = 0.92-1.69; Figure 1). The sensitivity analysis using distance from neighborhood centroid to the nearest river also showed no association (aRR = 0.93, 95% CrI = 0.78-1.08; Table A2 in the Appendix). Neighborhoods' overall suicide rates and suicide rates by hanging and other methods showed no associations with any of the three accessibility indicators. The sensitivity analysis using alternative priors showed similar results ( Table A2 in the Appendix).

Discussion
We found evidence that access to means (or opportunity to use means) was associated with method-specific suicide rates across neighborhoods for charcoal burning (accessibility indicated by the proportion of single-person households) and jumping (accessibility indicated by the proportion of households living on the sixth floor or above). By contrast, there was no evidence for an association between neighborhoods' proximity to rivers and drowning suicide rates. Furthermore, there were no associations of neighborhoods' suicide rates of hanging (as a control method) with any of the means accessibility indicators. Finally, the three access-to-means indicators were not associated with a neighborhood's overall suicide rate, indicating that prevention strategies focusing on these methods may not have an impact on overall suicide rates.

Comparison With Previous Studies
Our data showed an association between the proportion of single-person households and neighborhood charcoalburning suicide rates. In keeping with this, a recent study of 11,854 suicides from Hong Kong showed that, when compared with people who died by suicide using other methods, those who burnt charcoal were approximately three times more likely to live alone even after adjusting for age and sex . Of note, in previous ecological studies of suicide, an area's proportion of single-person households was also commonly used as an indicator of social fragmentation, namely "anomie" or the breakdown of social integration, which was theorized by Durkheim as the connectedness between individuals and society that may decrease population suicide rates (Congdon, 2004). However, in our analysis, this indicator was only associated with charcoal-burning suicide rates, but not the rates of overall suicide or suicide using other non-charcoal-burning methods, suggesting that this indicator may specifically capture the neighborhood level of ease of using the charcoal-burning method rather than social fragmentation in Taipei City. This finding suggests that vulnerable individuals who live alone could be a highrisk group for charcoal-burning suicide, particularly in countries where the method is commonly used (Chang et al., 2014). In Cheung Chau, an island of Hong Kong, the owners and managers of holiday flats in the island refused to rent rooms to individuals who traveled alone and/or appeared depressed to prevent them from attempting suicide by burning charcoal in the rented unit (Wong et al., 2009). A decrease in annual visitor suicides was reported after implementing this intervention (Wong et al., 2009). Strategies aimed at identifying high-risk individuals and reducing the likelihood that they are alone at time of risk could be potentially effective approaches to preventing charcoal-burning suicide.
In keeping with previous studies (Lin & Lu, 2006;Panczak et al., 2013), our data showed a positive association between the proportion of households living on the sixth floor or above and jumping suicide rates. A recent systematic review showed that installing barriers at popular sites for jumping was followed by a decrease in suicide by this method (Pirkis et al., 2015;Zalsman et al., 2016); however, it may be challenging to restrict access to high places in some urban settings where a large proportion of the population live in high-rise buildings. A population-based approach may be needed to enhance the safety of all residential buildings by enacting and enforcing laws or regulations that require the installation of high fences or safety nets at the roofs or balconies of the buildings as well as window guards throughout the buildings. However, this may require considerations of the balance between liberty/household comfort and preventing suicide, which is a relatively rare event.
Our data showed no statistical evidence for an association of drowning suicide rates with neighborhoods' adjacency to rivers, although the direction of association was consistent with increased risk for those living nearby. However, drowning suicides could occur at sites other than rivers. A recent report from Taipei City showed that, although 78% of drowning suicides were found to occur in rivers, other common sites for drowning suicide included a wide range of locations such as ponds, harbors, and reservoirs (Chang, 2017). Furthermore, the physical proximity from each neighborhood to rivers might not be the most appropriate accessibility indicator in the city because of the ease to access rivers using public or private transport. Future research could examine the locations where drowning suicides commonly occurred to identify high-risk spots and develop more accurate indicators of accessibility to potential sites for drowning suicide. Potential interventions might include enhancing the safety of these sites and increasing the chance of rescue by installing more lifebelts and emergency services.
Our data showed that none of the method-specific accessibility indicators investigated was associated with overall suicide rates. The result suggests that targeting on these suicide methods may have limited impact on overall suicide rates in Taipei City. By contrast, previous studies investigating accessibility indicators of firearms (Opoliner et al., 2014) and pesticide poisoning  showed an association with both method-specific and overall suicide rates. The difference in findings could be due to the difference in the share of method-specific suicide investigated among overall suicides. In previous studies of suicide by firearms (Opoliner et al., 2014) and pesticide poisoning , the two methods accounted for a large proportion of suicides in the whole or specific study regionsapproximately half of suicides in the United States (Opoliner et al., 2014) and East and Central Taiwan , respectively. By contrast, the proportion of suicides by each of the methods investigated in this study was lower than 30% (ranging from 9.2% for drowning to 28.7% for charcoal burning).
Some previous studies have shown higher suicide rates in rural areas than urban areas in countries such as Taiwan  and Germany (Helbich et al., 2017); however, in Taiwan, most suicides occurred in urban areas as a much larger proportion of population live in urban than rural areas , therefore highlighting the importance of suicide prevention in cities. Our findings provide new insights into means accessibility and suicide in a rapidly growing Asian city; these would have important implications for other fast-growing cities around the world, many of which are similarly characterized by a marked increase in residents living in high-rise buildings and/or living alone, and this may increase the risk of suicide by jumping or other methods that may be challenging to implement in shared accommodation, such as charcoal burning.

Strengths and Limitations
To the best of our knowledge, this is among the first detailed analyses of associations between the indicators of ease of using or accessing suicide means with small-area variations in method-specific suicides rates in cities. There are several limitations to this study. First, this is an ecological study, and its findings may not apply at the individual level, and the associations between means accessibility and suicide cannot be directly inferred as causal. The neighborhoods analyzed in the study were administrative units, and the results may differ if data are aggregated at different geographic units (i.e., the modifiable areal unit problem; Tate & Atkinson, 2001). Second, we used single-person households as an indicator for the ease of using the charcoal-burning method; however, the opportunity of implementing the method in single-person households may be influenced by other characteristics such as the size of the dwelling (Goldstein, 2008). Furthermore, the likelihood of suicide by drowning may be influenced by not only the proximity to rivers but also the size (i.e., width and depth) of rivers; however, the size of rivers was not considered in the analysis as relevant data were unavailable. Third, we used the residential address before death when calculating suicide rates at the neighborhood level, while some of the suicides may not have occurred at the residential address. For example, some charcoal-burning suicides occurred in cars or hotel rooms (Chang, 2017); some jumping suicides occurred at nonresidential buildings such as shopping malls (Chen et al., 2009); and most drowning suicides occurred outside home (Chang, 2017). However, in Taipei City, it was reported that the majority of charcoal-burning suicides (71%) occurred at home (Chang, 2017), and most jumping suicides (67%) occurred at residential buildings (Chen et al., 2009). Furthermore, most drowning suicides (78%) involved drowning in rivers in Taipei City (Chang, 2017), and we used the adjacency to rivers as the accessibility indicator for drowning suicide in the study.

Conclusion
In conclusion, our small-area analysis showed an association of the ease of using or accessing specific lethal means with geographic variations in method-specific suicide rates. Vulnerable individuals living alone could be considered as a high-risk group for charcoal-burning suicide in countries where the method is commonly used for suicide. A systematic, population-based approach may be needed to enhance the safety of high-rise residential buildings to meaningfully reduce jumping suicide rates. Potential approaches include enforcing laws that mandate the installation of high fences, safety net, and window guards. Future research needs to better understand the spatial distributions and physical characteristics of potential sites for suicide using methods such as charcoal burning, jumping, and drowning to inform prevention strategies.
Ying-Yeh Chen, MD, ScD, is a professor at National Yang-Ming University, Taiwan, and an attending psychiatrist at Taipei City Psychiatric Center, Taipei City Hospital. She also serves as the chief of the research division at Taipei City Suicide Prevention Center. Her research focuses on socioenvironmental influences on suicidal behaviors. She conducts studies on suicide attempters, covering topics on media influences, outcome assessment, and rationale for method choice.
Shu-Sen Chang, MD, MSc, PhD, is an associate professor at the Institute of Health Behaviors and Community Sciences, College of Public Health, National Taiwan University, Taiwan. He is a psychiatrist and public health researcher with a research focus on suicidal behavior, suicide prevention, and population mental health.
David Gunnell, MB, ChB, DSc, is a professor of epidemiology at the University of Bristol, UK. He is a public health physician and epidemiologist with a longstanding research interest in the etiology and prevention of suicide and in improving population mental health. Table A2. aRRs a and 95% CrIs b of method-specific suicide rates c associated with one SD increase in levels of each of the three means accessibility indicators across 432 neighborhoods in Taipei City, 2004-2010: sensitivity analyses (A) using gamma distribution (0.01, 0.01) priors for the inverse of the variance of the unstructured and structured variability in the Bayesian hierarchical model and (B) using the distance from neighborhood centroids to the nearest river as the accessibility indicator for drowning.