Hostname: page-component-7bb8b95d7b-pwrkn Total loading time: 0 Render date: 2024-10-04T13:26:50.317Z Has data issue: false hasContentIssue false

Interactions of the CSF3R polymorphism and early stress on future orientation: evidence for the differential model of stress-related growth

Published online by Cambridge University Press:  03 October 2024

Yiqun Gan
Affiliation:
School of Psychological and Cognitive Sciences and Beijing Key Laboratory of Behavior and Mental Health, Peking University, Beijing, China
Lizhong Wang
Affiliation:
Hunan Provincial Key Lab on Bioinformatics, School of Computer Science and Engineering, Central South University, Changsha, P. R. China WeGene, Shenzhen Zaozhidao Technology Co. Ltd., TianAn CyberTech Plaza I, Shenzhen, P. R. China
Yidi Chen
Affiliation:
School of Psychological and Cognitive Sciences and Beijing Key Laboratory of Behavior and Mental Health, Peking University, Beijing, China
Lei Zheng
Affiliation:
School of Economics and Management, Fuzhou University, Fuzhou, China
Xiaoli Wu
Affiliation:
WeGene, Shenzhen Zaozhidao Technology Co. Ltd., TianAn CyberTech Plaza I, Shenzhen, P. R. China
Gang Chen
Affiliation:
Hunan Provincial Key Lab on Bioinformatics, School of Computer Science and Engineering, Central South University, Changsha, P. R. China WeGene, Shenzhen Zaozhidao Technology Co. Ltd., TianAn CyberTech Plaza I, Shenzhen, P. R. China Shenzhen WeGene Clinical Laboratory, Haikexing Industrial Park, Shenzhen, P. R. China
Yueqin Hu*
Affiliation:
School of Psychology, Beijing Normal University, Beijing, China
*
Corresponding author: Yueqin Hu; Email: yueqinhu@gmail.com
Rights & Permissions [Opens in a new window]

Abstract

Aims

This study aims to explore the concept of future orientation, which encompasses individuals’ thoughts about the future, goal-setting, planning, response to challenges and behavioural adjustments in evolving situations. Often viewed as a psychological resource, future orientation is believed to be developed from psychological resilience. The study investigates the curvilinear relationship between childhood maltreatment and future orientation while examining the moderating effects of genotype.

Methods

A total of 14,675 Chinese adults self-reported their experiences of childhood maltreatment and their future orientation. The influence of genetic polymorphism was evaluated through genome-wide interaction studies (GWIS; genome-wide association study [GWAS] using gene × environment interaction) and a candidate genes approach.

Results

Both GWAS and candidate genes analyses consistently indicated that rs4498771 and its linked single-nucleotide polymorphisms, located in the intergenic area surrounding CSF3R, significantly interacted with early trauma to influence future orientation. Nonlinear regression analyses identified a quadratic or cubic association between future orientation and childhood maltreatment across some genotypes. Specifically, as levels of childhood maltreatment increased, future orientation declined for all genotypes. However, upon reaching a certain threshold, future orientation exhibited a rebound in individuals with specific genotypes.

Conclusions

The findings suggest that individuals with certain genotypes exhibit greater resilience to childhood maltreatment. Based on these results, we propose a new threshold model of stress-related growth.

Type
Original Article
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.
Copyright
© The Author(s), 2024. Published by Cambridge University Press.

Introduction

The phrase ‘what does not kill us makes us stronger’ suggests that the role of stress exposure should be reconsidered, as it profoundly influences our understanding of mental health (Seery et al., Reference Seery, Holman and Silver2010). The stress inoculation theory (Kim-Cohen and Gold, Reference Kim-Cohen and Gold2009; Southwick and Charney, Reference Southwick and Charney2012) provides a theoretical framework for understanding the relationship between stress exposure levels and stress-related growth, in which exposure to particular levels of stress leads to an enhanced capacity for coping with future obstacles. However, the findings of studies on this topic have been inconsistent. Stress-related growth following exposure to stress does not always occur. This inconsistency could be owing to different interactions between individual and environmental characteristics.

Three existing theories, summarized in Fig. 1 (Jolicoeur-Martineau et al., Reference Jolicoeur-Martineau, belsky, Szekely, Widaman, pluess, Greenwood and Wazana2020; Rioux et al., Reference Rioux, Castellanos-ryan, Parent and Séguin2016), explain the interactions between person and environment: the diathesis–stress model, the differential susceptibility model and the vantage sensitivity hypothesis (Belsky and Pluess, Reference Belsky and Pluess2009). The diathesis–stress model (Monroe and Simons, Reference Monroe and Simons1991) proposed that the interaction between a predispositional vulnerability and stress would lead to a psychological disorder. The differential susceptibility model (belsky and Pluess, Reference Belsky and Pluess2009) then extended the classic diathesis–stress theory to describe processes in a positive environment and describes a group of individuals that are sensitive to negative exposures but also susceptible to positive exposures. Both models are primarily focused on psychopathology. Yet, positive adaptation is conceptually different from the absence of psychopathology. Later, Pluess and Belsky (Reference Pluess and Belsky2013) introduced the term vantage sensitivity to characterize the ‘positive side’ of differential susceptibility in response to positive experiences. However, contrastive effects (Rioux et al., Reference Rioux, Castellanos-ryan, Parent and Séguin2016) such as how individuals could be positively affected by negative environments were not yet theorized. This study attempts to fill this gap by specifically addressing the association between stress exposure and stress-related growth.

Note: The coloured models are existing theories whereas stress-related growth is proposed in this article.

Figure 1. Illustration of the different models describing person × environment interaction.

Early adversity and mental health: linear relationship and quadratic hypothesis

The conventional academic view posits a linear relationship between stress and mental health, with stressful events typically increasing the risk of negative mental health outcomes. This concept, widely supported by empirical research, aligns with the dose–response theory that describes a linear relationship between stress events and mental health (Hou et al., Reference Hou, Liu, Liang, Ho, kim, Seong, Bonanno, Hobfoll and Hall2020; Sala et al., Reference Sala, Goldstein, Wang and Blanco2014; Turner and Lloyd, Reference Turner and Lloyd1995). Childhood stressors often have more enduring effects than those in adulthood (Zannas and West, Reference Zannas and West2014), and numerous studies verify the negative psychological consequences of adverse distant events (Lähdepuro et al., Reference Lähdepuro, Savolainen, Lahti-pulkkinen, Eriksson, Lahti, Tuovinen, Kajantie, Pesonen, Heinonen and Räikkönen2019).

However, the more recent focus on positive psychology reveals that stress can also result in positive changes like enhanced social resources, personal development and improved coping skills (Ord et al., Reference Ord, Stranahan, Hurley and Taber2020). Moderate stress exposure may even be beneficial for obtaining psychological resources (Lyons et al., Reference Lyons, Buckmaster, Lee, wu, Mitra, Duffey, Buckmaster, Her, Patel, Schatzberg and Gage2010a), leading researchers to question the linear relationship and propose a potential quadratic relationship between stress and mental health (Seery et al., Reference Seery, Holman and Silver2010).

Subsequent research has largely supported this quadratic hypothesis, demonstrating it across various populations and situations (Holtge et al., Reference Holtge, Mc Gee, maercker and thoma2018). For instance, moderate lifelong stress is related to psychological resilience in breast cancer survivors (Dooley et al., Reference Dooley, Slavich, Moreno and Bower2017), and distant stress has long-term effects on mental health in older adults (Mclafferty et al., Reference Mclafferty, O’neill, Armour, Murphy and Bunting2018). Childhood stress, previously viewed as entirely negative, is now recognized for its potential positive outcomes (Finch and obradović, Reference Finch and Obradović2017; Höltge et al., Reference Höltge, Mc Gee and Thoma2019).

Two reasons for these recent findings have been identified. First, some studies only selected childhood trauma samples, leading to a skewed representation of stress exposure (Lemoult et al., Reference Lemoult, Humphreys, Tracy, Hoffmeister, Ip and Gotlib2020; Steine et al., Reference Steine, Winje, Krystal, Bjorvatn, Milde, Grønli, Nordhus and Pallesen2017). Second, in the verification method of the quadratic hypothesis, a multivariate linear regression method is generally adopted, wherein the first-order term is added to the model first, followed by the simultaneous addition of the first-order and second-order terms (Seery and Quinton, Reference Seery and Quinton2016). This means that the quadratic relationship places constraints on the linear relationship, and the linear relationship can only be supported if the quadratic relationship is not supported (Katz et al., Reference Katz, Rudolph and Zacher2019).

Our recent meta-analysis of 24 studies involving 27,547 participants, collecting 5,036 cross-sectional samples and tracking 1,173 participants over a year, found that proximal stress events aligns with the linear hypothesis, while the stress events distal stress events fits the quadratic hypothesis (Ma & Gan, under review). This indicates that the occurrence time of stress moderates the relationship between stress and well-being. The growth process from stress events requires active cognitive components like future-oriented thinking, which take considerable time to take effect (Brooks et al., Reference Brooks, Graham‐kevan, Lowe and Robinson2017; Crane et al., Reference Crane, Searle, Kangas and Nwiran2019).

Post-traumatic growth, stress-related growth and future orientation

Post-traumatic growth (PTG) theory posits that traumatic events can shatter an individual’s cognitive schema, necessitating its reconstruction (Tedeschi and Calhoun, Reference Tedeschi and Calhoun2004; Tedeschi and Lg, Reference Tedeschi and Lg1996). This process can lead to a greater appreciation of life, improved personal relationships, an increased sense of personal strength, recognition of new possibilities in life and spiritual development. The extent and nature of PTG can vary greatly among individuals and depends on the characteristics of the trauma, the individual and the recovery environment (Tedeschi et al., Reference Tedeschi, Tedeschi, Kanako and calhoun2018). Joseph and Linley (Reference Joseph and Linley2006) describe PTG as an active and ongoing process, positing that PTG is not a direct result of trauma but arises from the struggle with new reality in the aftermath of trauma. Moreover, Janoff-Bulman (Reference Ronnie1992) shattered assumptions theory also offers a crucial perspective on how traumatic experiences can profoundly shake one’s fundamental beliefs about the world, potentially paving the way for growth. More recent research findings have also linked neurobiological factors to stress-related growth. For example, hippocampal volume is associated with the degree of growth following trauma (Rubin et al., Reference Rubin, Shvil, Papini, Chhetry, Helpman, Markowitz, Mann and Neria2016).

Stress-related growth, a similar concept, refers to the perception or experience of improvement or positive change due to the struggle with a challenging life circumstance or major life crisis (Park and Ai, Reference Park and Ai2006). This growth is often attributed to the development of coping strategies, social support and cognitive processes such as positive reappraisal (Carver and Antoni, Reference Carver and Antoni2004). Casellas‐Grau et al. (Reference Casellas-Grau, Ochoa and Ruini2017) incorporate current perspectives on the topic and systematically reviewed stress-related growth among women with breast cancer.

However, both stress-related growth and PTG are complex processes that are not experienced by everyone who encounters stress (Zoellner and Maercker, Reference Zoellner and Maercker2006). Not all changes following trauma are positive, and the perception of growth does not necessarily equate to a reduction in distress or improved mental health (Bonanno et al., Reference Bonanno, Westphal and Mancini2011). Thus, a research gap exists concerning the mechanisms underlying stress-related growth, and there is a need to identify factors that may explain these individual differences. This knowledge is crucial to develop interventions that foster growth and resilience following stressful events.

Although it is well established that early trauma may result in psychopathology (Mclaughlin et al., Reference Mclaughlin, Colich, Rodman and Weissman2020), a moderate level of exposure to stress may lead to better mental health and well-being (Ashokan et al., Reference Ashokan, Sivasubramanian and mitra2016). These results were explained considering the ‘‘stress inoculation model,’ which posits that the effects of early life stress on mental health can be represented by an inverted U-shaped curve, in which extremely high or low levels of early life stress causes poor coping capacity, while a moderate level of early life stress is optimal in preparing individuals for coping with future stress (Lyons et al., Reference Lyons, Parker and Schatzberg2010b). In an influential study, Seery et al. (Reference Seery, Holman and Silver2010) reported the findings obtained based on an inverted U-shaped curve and demonstrated that exposure to moderate stress helps promote proactive coping and thereby increases resilience. These findings suggest that the role of stress exposure should be reconsidered, as it could profoundly affect our understanding of mental health.

We found that the occurrence time of stress moderates the relationship between stress and well-being; specifically, proximal stress events align with the linear hypothesis, while distal stress events fit the quadratic hypothesis (Ma & Gan, under review). The growth process from stress events requires active cognitive components like future-oriented thinking, such as planning, anticipation and goal-setting, which take considerable time to take effect (Brooks et al., Reference Brooks, Graham‐kevan, Lowe and Robinson2017; Crane et al., Reference Crane, Searle, Kangas and Nwiran2019). These cognitive components are inherently linked to the process of growth following stress, thereby justifying its use as a proxy measure.

Future orientation is a process involving the dynamic development of mental resources despite adversity. Future orientation includes not only information about how individuals think about the future but also how they set goals, plan for the future, respond to challenges and adjust their behaviour and reassess their goals as situations evolve. Individuals with a high future orientation tend to have a long-term perspective and can prepare in advance for the possibility of stress, plan for the future and evaluate their achievement and accordingly revise their plan to match their goal timeline. Contrastingly, individuals with low future orientation tend to be overwhelmed and have difficulty in generating effective coping strategies when facing stress (Nurmi and Pulliainen, Reference Nurmi and Pulliainen1991). Future orientation is often regarded as a psychological resource that can develop from psychological resilience (Seginer, Reference Seginer2008). For example, Seginer (Reference Seginer2008) proposed a model in which psychological resilience leads to future orientation, with a series of intrapersonal and interpersonal traits serving as moderators. Further, the findings of Cui et al. (Reference Cui, Oshri, liu, Smith and Kogan2020) highlighted the role of future orientation in the development of resilience among maltreated youth. Taken together, future orientation should be a reasonable indicator of stress-related growth.

Individual differences and gene: moderators for the adversity–resilience relationship

Owing to individual differences in stress sensitivity, ‘moderate level’ is a vague term. Although there is evidence indicating that the relationship between stress levels and coping capacity can be depicted by an inverted U-shaped curve, previous research has shown that only a proportion of individuals learned to enhance their coping capacity, which resulted in an increase in resilience, despite exposure to the same levels of stressful events (Cicchetti et al., Reference Cicchetti, Rogosch and Thibodeau2012). This suggests that exposure to a level of stress that is beneficial to one individual might be harmful to another. One explanation for this is that certain individuals have previously experienced stress, and thus developed coping strategies, owing to which they experienced stress-related growth and developed greater resilience. Future-oriented coping is a strategy for coping with stress in advance. This line of research indicates the importance of individual differences in understanding the relationship between a specific stress level and stress-related growth.

Individual-level variables have been thought to play a role in the association between stress exposure and the development of resilience (Feder et al., Reference Feder, Nestler and Charney2009; Rutten et al., Reference Rutten, Hammels, Geschwind, Menne-lothmann, Pishva, Schruers, van den Hove, Kenis, van Os and Wichers2013). However, the role of genetic differences has unfortunately been greatly overlooked to date (Cicchetti et al., Reference Cicchetti, Rogosch and Thibodeau2012; Kim-Cohen and Gold, Reference Kim-Cohen and Gold2009; Rutten et al., Reference Rutten, Hammels, Geschwind, Menne-lothmann, Pishva, Schruers, van den Hove, Kenis, van Os and Wichers2013). Genetic composition has been widely regarded as an individual-level variable and its importance has been demonstrated in the modulation of psychopathological variables and positive psychological health (Cicchetti et al., Reference Cicchetti, Rogosch and Thibodeau2012; Massat et al., Reference Massat, Souery, Del-favero, Nothen, Blackwood, Muir, Kaneva, Serretti, Lorenzi, Rietschel, Milanova, Papadimitriou, Dikeos, Broekhoven and Mendlewicz2004). Further, our prior study found that genes could interact with stress to develop psychological resources in different stressful situations (Gan et al., Reference Gan, Chen, Han, Yu and Wang2019).

Individuals appear to exhibit a different capacity for resisting a specific stressor, resulting in different levels of growth. Previous genetic studies have shown that not every individual could achieve mental growth after experiencing early life adversities (Cicchetti et al., Reference Cicchetti, Rogosch and Thibodeau2012). The interaction between early childhood maltreatment and genetic predispositions in shaping future orientation is a complex and nuanced issue. Genetic factors can influence how individuals respond to environmental stressors, including maltreatment (Caspi et al., Reference Caspi, Mcclay, Moffitt, Mill, Martin, Craig, Taylor and Poulton2002). Studies on other genetic polymorphisms, such as those of the serotonin transporter gene (5-HTT), have shown that individuals with certain variants of this gene who are exposed to stressful life events have an increased risk of developing depression (Caspi et al., Reference Caspi, Harrington, Milne, Amell, Theodore and Moffitt2003). Similarly, certain polymorphisms of the FKBP5 gene are associated with an increased risk of post-traumatic stress disorder following exposure to severe trauma (Binder et al., Reference Binder, Bradley, liu, Epstein, Deveau, Mercer, tang, Gillespie, heim, Nemeroff, Schwartz, Cubells and Ressler2008). Cornelis et al. (Reference Cornelis, Nugent, Amstadter and Koenen2010) review and future directions on gene–environment interactions and post-traumatic stress disorder also expand on this aspect.

Prior studies have reviewed several polymorphisms that are associated with resilient adaptation, such as hypothalamus–pituitary–adrenal (HPA) axis-related genes (e.g., CRHR1, FKBP5), serotonin transporter genes (e.g., 5-HTTLPR), COMT, NPY and BDNF (Feder et al., Reference Feder, Nestler and Charney2009), and suggested that genes could be a critical factor in individual differences in such adaptation. Inspired by animal models, researchers have noted a possible association between immune cells and resilience to stress (Tsyglakova et al., Reference Tsyglakova, Mcdaniel and Hodes2019). However, there is a paucity of research on genes regulating inflammatory and immune responses as indicators of individual differences and their involvement in the pathway from the stressful experience to the development of future orientation.

GWAS using gene × environment interaction (GWIS) and candidate gene approaches

The candidate gene approach was widely used in the early studies of gene × environment interaction (G × E) interactions. The basic principle of candidate gene analysis is based on prior biological or functional knowledge, which tests the hypothesis that selected genes interact with factors to shape a complex trait. However, there are some debates about candidate gene studies. First, these studies could have a greater number of potential statistical tests that increase the occurrence of false positives when testing for interaction effects, making the studies less reproducible (Munafò et al., Reference Munafò, Durrant, Lewis and Flint2009). Second, candidate gene studies were subject to publication bias. This suggests that high-quality replicated studies with interaction validation findings are needed to improve the reproducibility of the field (Duncan and Keller, Reference Duncan and Keller2011). In genetic–psychological trait association studies, there has been a shift from hypothesis-driven studies examining a small number of candidate genes to more agnostic (hypothesis-free) genome-wide screening for polymorphisms contributing to complex psychological traits. By modelling the interaction between single-nucleotide polymorphism (SNP) alleles and early stress status on the Childhood Trauma Questionnaire (CTQ-R) score through genome-wide interaction studies (GWIS), we sought to identify potential candidate genes that have passed the preliminary screening. Moreover, the reliability of this study was enhanced by cross-validation.

The present study

Based on mental resilience and stress inoculation theory, we believe that individuals can grow mentally after exposure to stressful events; however, this growth is conditioned on specific environmental and individual characteristics. Some specific range of stimulus intensities and specific genotypes may enable or facilitate this growth.

The negative environmental exposure or adversity used in this study is childhood trauma – a commonly used environmental variable for the study of G × E interaction (Taylor, Reference Taylor2010). To identify the related genes, this study adopted a hybrid method that combines the candidate approach and the GWAS approach. First, the GWAS approach was used to screen for the potential genes relevant to the interaction of gene and childhood maltreatment on future orientation. Next, CSF3R was used as the focus candidate gene owing to the preliminary results in GWAS and its impact in the stress and coping process (Kawai et al., Reference Kawai, Morita, Masuda, Nishida, Shikishima, Ohta, Saito and Rokutan2007; Le-Niculescu et al., Reference Le-Niculescu, Balaraman, Patel, Ayalew, Gupta, Kuczenski, Shekhar, Schork, Geyer and Niculescu2011).

Based on the above rationale, we hypothesized a quadratic association (an inverted U-curve) between childhood maltreatment and future orientation, suggesting a middle level of childhood maltreatment as optimal. Linear and polynomial models up to the fourth power were examined as competing hypotheses. We also hypothesized an interaction effect between the CSF3R and childhood maltreatment. More specifically, future orientation would be less impaired or stimulated by childhood maltreatment among individuals carrying certain alleles. A large nationwide sample of Chinese adults was used to examine the above hypotheses.

Methods

Participants

We recruited 14,675 adult participants drawn from the customer base of WeGene, a personal genetic company, who had been genotyped by ∼700,000 SNPs on microarrays (38% on Affymetrix WeGene V1 array and 62% on Illumina Infinium Global Screening Array-24 v2.0 BeadChip array) as part of the WeGene Personal Genome Services (Kang et al., Reference Kang, Sun, Wang, Yao, Tang, Deng, Wu, yang, Chen and Wegene Research2020). WeGene operates its own user community and offers various research opportunities through its online user community forum. By participating in research, users can earn points redeemable for virtual goods, physical rewards or donations to other users – with 200 points generally equivalent to one Chinese yuan (RMB). Participants provided informed consent online and participated in the research online through organic posts on WeGene online platform. The customers of WeGene cover people over 18-years-old and are representative in terms of age, region and occupation. After excluding 143 people who failed the validity items test, the final sample contained 14,675 people. The validity test comprised five pairs of questions, with questions in each pair having the same meaning but placed at different locations in the questionnaire. Participants were considered to have failed the validity test if they gave opposite responses to any of the paired questions. Each participant was rewarded 500 bonus points in their WeGene account upon completion of this study, regardless of whether they passed the validity test.

All procedures contributing to this work comply with the ethical standards of the relevant national and institutional committees on human experimentation and with the Helsinki Declaration of 1975, as revised in 2008. All procedures were approved by the Committee for Protecting Human and Animal Subjects School of Psychological and Cognitive Sciences, Peking University (no. I2018-10-03e).

All participants were of Chinese Han ethnicity. Their mean age was 28.17 years (SD: 7.08; range: 18–65 years). There were 6,363 (43.4%) men and 8,267 (56.3%) women, while 45 (0.3%) had missing data. Among participants, 3,601 (24.5%) had a master’s degree or higher, 8,614 (58.7%) had a bachelor’s degree, 1,597 (10.9%) were at junior college level, and the rest (5.9%) had a high school diploma. Most were either employed (84.5%) or full-time university students (15.5%).

Materials

Revised version of CTQ-R

The CTQ-R is a self-report instrument used to retrospectively assess the frequency and severity of different types of childhood maltreatment (Bernstein et al., Reference Bernstein, Ahluvalia, Pogge and Handelsman1997). The Cronbach’s alpha coefficient was 0.97 in Bernstein’s study, demonstrating excellent reliability. The CTQ-R contains 14 items adapted from the CTQ Short Form. We did not include items related to sexual abuse owing to Chinese cultural taboos around sex. All items were rated on a five-point Likert-type scale with anchors of ‘never’ (1) and ‘very often’ (5); thus, higher scores indicated more abuse. The scale demonstrated a good unidimensional structure, with a Cronbach’s alpha coefficient of 0.890 for the current sample.

Future orientation inventory

A future-oriented coping inventory was used in GWAS, which is a measure of future orientation and assesses the degree that individuals are likely to opt and prepare themselves for future challenges and stress (Gan et al., Reference gan, yang, zhou and zhang2007). A sample item is, ‘Before disaster strikes, I am well-prepared for its consequences’. It is a reliable and valid measure for future orientation, and many studies have used this instrument to measure individuals’ future orientation (Prochniak and Prochniak, Reference Prochniak and Prochniak2021; Serrano et al., Reference Serrano, Andreu, Greenglass and Murgui2021). Participants responded to each item using a five-point Likert-type scale that ranged from ‘very untrue for me’ (1) to ‘very true for me’ (5). The 16-item scale demonstrated good psychometric properties, with a Cronbach’s alpha coefficient of 0.873 for the current sample.

Genome-wide association study

A GWAS analysis was performed for the interaction effect of the CTQ-R and SNP allele on future orientation (dependent variable) in the WeGene cohort using PLINK 1.9. Since GWAS analysis requires binary input, the continuous variable CTQ-R was dichotomized, with the lower 27% (CTQ-R ≤ 13) as controls and the upper 27% (CTQ-R ≥ 23) as cases. The middle 46% were excluded, leading to a final GWAS sample size of 6,504. This case–control approach is essential in GWAS and is often used in psychopathology to detect loci that contribute to a specific trait. PLINK command ‘–gxe’ estimates the difference in allelic association with a quantitative trait (future orientation) between two groups (CTQ-R cases vs. controls) producing effect estimates on each group and a test of significance for the interaction between the SNP allele and future orientation status. The interaction P-value reflects the difference between the regression coefficient of the allelic effect in a linear model for the future orientation scale in CTQ-R cases and the same regression coefficient in a linear model for future orientation in CTQ-R controls. The future orientation interaction effect was defined as the difference in allele effect between CTQ-R case and control groups. We used the Z-transformed future orientation score to fit the normal distribution.

Genotyping, quality control and imputation

The cohorts were genotyped following WeGene’s protocols. Individuals were excluded from further analysis based on sex mismatches, disproportionate levels of individual missingness (>5%), evidence of relatedness (removing one from each pair within the second-degree relationship identified by relationship inference software KING with parameter ‘–unrelated – degree 2’) (manichaikul et al., Reference Manichaikul, Mychaleckyj, Rich, Daly, Sale and Chen2010), inbreeding coefficient above 0.2 or below 0.2 (known as heterozygosity F-statistic) and being non-Han Chinese (assessed by principal component analysis and two-dimensional clustering analysis (bycroft et al., Reference Bycroft, Freeman, Petkova, Band, Elliott, Sharp, Motyer, Vukcevic, Delaneau, O’connell, Cortes, Welsh, Young, Effingham, Mcvean, Leslie, Allen, Donnelly and Marchini2018) including the 1000 Genomes Project Phase 3 data). The quality control parameters used for the exclusion of individuals and SNPs were the following: SNP missingness >0.02; and deviation of an SNP from the Hardy–Weinberg equilibrium <1e-5.

Imputation of genotype data was performed using Eagle/Minimac4 with default parameters (with a chunk size of 10 Mb and step size of 3 Mb) against the 1000 Genomes project Phase 3 v5 reference haplotypes. Post-imputation filtering was achieved by removing SNPs with imputation quality (e.g., Minimac R2) less than 0.3, MAF less than 1% or a missing rate of more than 2%.

Statistical analyses

First, we examined the curvilinear relationship between childhood maltreatment (linear, quadratic, cubic and quartic terms of CTQ-R scores) and future orientation using regression analyses. Second, we performed GWAS on future orientation to identify candidate genes, as described above. Finally, we examined the interaction effect between candidate genes and CTQ-R on future orientation using regression analyses. To ensure rigor and to exclude alternative explanations, population stratification information, such as sex and age, was controlled for as covariates. The sample was randomly split in half and cross-validated where applicable.

Results

Descriptive statistics and the curvilinear relationship between childhood maltreatment and future orientation

The mean and SDs of the major variables are presented per CSF3R genotype in Table 1. We first assessed the linear and nonlinear associations between CTQ-R and future orientation. Regression analyses were performed with sex, age and education controlled; and the linear, quadratic, cubic and quartic term of CTQ-R score entered as predictors. The results presented in Table 2 suggested that the cubic model that includes a linear, quadratic and cubic term of CTQ-R best described the nonlinear relationship between CTQ-R and future orientation, with the smallest Akaike information criterion, largest likelihood and highest R 2 among all models. Further, it explained a significant incremental variance compared to the linear model, ΔR 2 = 0.6%, F[2,14616] = 45.71, and to the quadratic model, ΔR 2 = 0.1%, F[1,14616] = 19.23. The regression coefficients of the linear, quadratic and cubic terms were all significant except for the quartic term, β 1 = −0.20, 95% CI for B = [−0.226, −0.175], t = 15.29, P < .001; β 2 = −0.24, 95% CI for B = [0.067, 0.117], t = 7.27, P < .001; β 3 = −0.12, 95% CI for B = [−0.016, −0.006], t = 4.39, P < .001; and β 4 = 0.02, 95% CI for B = [−0.002, 0.003], t = 0.24, P = .811.

Table 1. The curvilinear relationship between future orientation and early adversity

Note:

* P< .05, **P <.01, ***P< .001. F1 tested the significance of the incremental explained variance compared to the linear model. F2 tested the significance of the incremental explained variance compared to the previous model.

Table 2. Top association findings (P < 5 × 10-8) in the GWAS analysis of future orientation and interaction with early adversity

Note: BETA1, regression coefficient in CTQ-R controls; SE1, standard error of coefficient in CTQ-R controls; NMISS1, number of non-missing genotypes in CTQ-R controls; BETA2, regression coefficient in CTQ-R cases; SE2, standard error of coefficient in CTQ-R cases; NMISS2, number of non-missing genotypes in CTQ-R cases; Z, Z score, test for interaction; P, asymptotic P-value for interaction test.

To test the robustness of this curvilinear relationship in different population subgroups, we examined the interaction between demographics (sex, age and education) and CTQ-R. Results showed that age had a significant interaction effect with the linear term of CTQ-R, β = 0.032, 95% CI for B = [0.015, 0.049], t = 3.68, P < .001. The negative relationship between CTQ-R and future orientation became weaker as age increased. We did not detect any significant interaction between sex or education with any polynomial of CTQ-R. The linear, quadratic and cubic terms of CTQ-R remained significant after the inclusion of the interaction effect of age, supporting the generality of the curvilinear relationship between CTQ-R and future orientation in heterogeneous populations.

GWAS on future orientation

We conducted a GWAS study testing the effect of the childhood maltreatment status and SNP allele on future orientation (dependent variable) of ∼6.8 million variants using up to 14,675 WeGene Biobank participants. The top-hit SNP rs4498771 and its linked SNPs located in the intergenic area around CSF3R were discovered. We used the FUMA platform (Watanabe et al., Reference Watanabe, Taskesen, van Bochoven and Posthuma2017) to confirm that CSF3R is the nearest gene from rs4498771, which is located ∼50kb away from the loci.

Manhattan and QQ plots are shown in Fig. 2 and Supplementary Figure S1. There was no evidence of GWAS inflation (λ = 1.01). GWAS analysis identified a significant G × E effect (P< .001) at an intergenic locus on chromosome 1 (top-hit SNP, rs4498771, P = 2.97 × 10−8, closest gene: CSF3R). The regional visualization plot of rs4498771 is shown in Supplementary Figure S2.

Note: The x-axis is chromosomal position and y-axis is the -log10 P-value of associations with future orientation effect. Significant (P = 5 × 10-8) and suggestive (P = 1 × 10-5) genome-wide threshold are shown by red and black lines.

Figure 2. Manhattan plot of GWAS associations.

To clarify the interaction effect between gene and childhood maltreatment on shaping individuals’ future orientation, a gene × stress interaction analysis of single locus was performed. Taking the top-hit SNP rs4498771 detected in the previous GWAS analysis as the candidate gene, childhood maltreatment as the environmental stress variable, and future orientation as the dependent variable, regression models were estimated to examine the main and interaction effects of the candidate gene.

Candidate gene analyses: G × CTQ-R interaction on future orientation

We used regression analyses to examine the interaction between the frequency of childhood maltreatment and genetic variation at CSF3R. The cubic polynomial model was used as the base model, and the G × childhood maltreatment interactions were used as fixed-effect factors for predicting individual differences in future orientation scores. Sex, age and education were included as covariates in the models. Their interactions with genes and with childhood maltreatment were also tested to control for the effects these variables may have on the G × E interaction (Keller, Reference Keller2014). Only age had a significant interaction with the linear term of early adversity, so this interaction term was included in the final model. Table 4S shows the results of the final regression model.

The main effects of genotype were significant (β = 0.026, 95% CI = [0.003, 0.049], t = 2.23, P = .03), as well as the main effect of all polynomials of CTQ-R (β 1 = −0.200, 95% CI = [−0.225, −0.174], t = 15.23, P < .001; β 2 = 0.238, 95% CI = [0.068, 0.118], t = 7.34, P < .001; β 3 = 0.122, 95% CI = [−0.015, −0.006], t = 4.32, P <.001). The interaction effects of genotype with all polynomials of CTQ-R were also significant (β 1 = 0.056, 95% CI = [0.031, 0.082], t = 4.36, P <.001; β 2 = −0.040, 95% CI = [−0.065, −0.015], t = 3.16, P<.001; β 3 = 0.006, 95% CI = [0.001, 0.011], t = 2.51, P = .012).

Simple slope analysis as a follow-up to the interaction effects examined the differential curvilinear relationships between childhood maltreatment and future orientation within each genotype group. Specifically, the effects of linear, quadratic and cubic terms of CTQ-R on future orientation were examined in each genotype of rs4498771 (A carries and GG). The interaction effect is depicted in Fig. 3.

Note: CTQ: childhood trauma questionnaire; FCI: future-orientated coping inventory. The dashed line represents the loess smoothing of the raw data, the solid line represents the quadratic (green) or cubic (red) polynomial regression as an approximation, and the dotted vertical lines mark the critical turning points of each curve.

Figure 3. Gene × CTQ-R interaction on FCI.

The linear and quadratic terms of CTQ-R were significant in both genotype groups, for A carriers, β 1 = −0.253, 95% CI = [−0.289, −0.218], t =13.94, P < .001, β 2 = 0.133, 95% CI = [0.098, 0.167], t = 7.52, P < .001, for GG, β 1 = −0.145, 95% CI = [−0.182, −0.108], t =7.64, P < .001, β 2 = 0.052, 95% CI = [0.016, 0.088], t = 2.86, P< .01; however, the cubic terms were only significant in the A carriers, for A carriers, β 3= − 0.017, 95% CI = [−0.024, −0.010], t =4.80, P < .001, for GG, β 3 = −0.004, 95% CI = [−0.011, 0.002], t =1.24, P = .214, indicating that individuals in the genotype group of A carriers showed a cubic association between childhood maltreatment and future orientation; that is, after experiencing frequent childhood maltreatment (in Fig. 3, at the turning point of the red line, CTQ-R total score = 50, CTQ-R item mean = 4 ‘often true’), future orientation exhibited a sharp decline. Contrastingly, the GG genotype group showed a quadratic association (U-shape) between childhood maltreatment and future orientation. Expressly, after experiencing some childhood maltreatment (in Fig. 3, at the turning point of the green line, CTQ-R total score = 40, CTQ-R item mean = 3 ‘sometimes true’), future orientation exhibited a rebound rather than a sustained decline.

Split-half cross-validation was performed to test the robustness of the findings. The results replicated the above pattern in both halves of the data; the more resilient genotype GG exhibited a quadratic U-curve, whereas the more vulnerable genotype A carriers exhibited a cubic curve decline. These curves in both halves of the data can be found in the Supplementary Figures.

Discussion

The present study showed consistent evidence for gene × childhood maltreatment interaction in predicting future orientation. We demonstrated the effect of an interaction of the rs4498771 located in the intergenic area around CSF3R with childhood maltreatment on future orientation in a large nationwide sample involving Chinese adults.

In the GWAS study, CSF3R was a moderator between childhood maltreatment and future orientation. CSF3R is a granulocyte colony-stimulating factor receptor mRNA, a gene that is closely related to the chronic psychological stress response (Kawai et al., Reference Kawai, Morita, Masuda, Nishida, Shikishima, Ohta, Saito and Rokutan2007; Le-Niculescu et al., Reference Le-Niculescu, Balaraman, Patel, Ayalew, Gupta, Kuczenski, Shekhar, Schork, Geyer and Niculescu2011; Morita et al., Reference Morita, Saito, Ohta, Ohmori, Kawai, Teshima-kondo and Rokutan2005). Psychological stress activates the HPA axis, sympathetic nervous system and immune system. These systems interact to affect the stress response (Connor and Leonard, Reference Connor and Leonard1998; Raison and Miller, Reference Raison and Miller2003). In addition to the corticotrophin-releasing hormone, adrenocorticotropic hormone and glucocorticoids, stress stimulates production of cytokines and modifies inflammatory and immune responses. This physiological process is linked to peripheral leukocytes, which produce various cytokines and proinflammatory cytokines, particularly gp130 family members, and directly activates the HPA axis (Arzt, Reference Arzt2001). Leukocytes express receptors for stress mediators, such as hormones, neurotransmitters, growth factors and cytokines. CSF3R is a gene that affects the expression of the cytokine receptor. Different CSF3R genotypes may have different levels of expression, and therefore result in different cytokine production and stress responses. Therefore, studying CSF3R genotypes may be useful to objectively assess psychological stress responses. CSF3R is a candidate genetic factor contributing to stress (Kawai et al., Reference Kawai, Morita, Masuda, Nishida, Shikishima, Ohta, Saito and Rokutan2007; Le-Niculescu et al., Reference Le-Niculescu, Balaraman, Patel, Ayalew, Gupta, Kuczenski, Shekhar, Schork, Geyer and Niculescu2011; Morita et al., Reference Morita, Saito, Ohta, Ohmori, Kawai, Teshima-kondo and Rokutan2005); however, there is a paucity of research on this gene as an indicator of individual differences and its involvement in the pathway from the stressful experience to the development of future orientation.

Theoretical model has been developed to conceptualize ‘stress inoculation’, which assumes that individuals with effective coping may keep or even increase their psychological strength after experiencing a moderate level of adversity (Dienstbier, Reference Dienstbier1989; Garmezy, Reference Garmezy2016; Meichenbaum, Reference Meichenbaum2017). This study put the stress inoculation theory into practice on childhood maltreatment, and the results challenged the previously assumed inverted U-shaped curve: instead of a universal curve for all, a positive U-curve best fits the data for some genotypes and a cubic curve best fits others. All participants demonstrated a decrease in future orientation when early trauma increased from none to moderate, but after a certain threshold, individuals with particular genotypes stopped declining and even showed a rebound (a positive U-curve), while individuals with other genotypes showed an accelerated decline (a cubic curve). Notably the environmental stress variable we chose was childhood maltreatment, which has a higher level of stress than the moderate stress described in the stress inoculation model. Therefore, a possible explanation concerning the failure of the inverted U-curve may be that childhood maltreatment is more damaging than ordinary stressful events, and thus any exposure to this type of event would likely have negative consequences. However, when accumulated stress reaches a certain threshold, some people may learn from it or are motived to develop more positive resources, thereby achieving stress-related growth, while others may feel hopeless and give up, thus losing the opportunity to grow.

Our findings extended the results of previous G × E studies of the CSF3R polymorphism and found a main effect of CSF3R and confirmed that individuals with certain genotypes of CSF3R tended to be more resilient and continue developing future orientation despite childhood adversity, while other genotypes did not. This is consistent with the suggestions of Drury et al. (Reference Drury, Theall, Smyke, Keats, Egger, Nelson, Fox, Marshall and Zeanah2010), who implied that the beneficial effect of different alleles varies in different environmental settings and different developmental time points (Drury et al., Reference Drury, Theall, Smyke, Keats, Egger, Nelson, Fox, Marshall and Zeanah2010).

Our results did not support an optimal stress exposure dose that fosters better psychological resources, but rather a threshold dose after which a bifurcation emerges that distinguishes between the stress-related growth path and the post-stress deterioration path. Genetic factors played a role in which path is taken. Stress-related growth is more likely to occur in some genotypes than others. While it is relieving that some people may gain growth after traumatic events, we should be aware that others may be severely impaired by traumatic experiences, as evidenced by a dramatic decrease in future orientation after the threshold dose. These individuals may need more attention and support after experiencing traumatic events, whereas the potential to thrive after extreme adversity for some individuals cannot be underestimated.

One may argue that the use of subjective trauma measures has the limitation of retrospective self-reporting, and the self-recall bias in the CTQ may limit the representativeness of the measure. However, the development of psychopathology is determined by subjective rather than objective experiences of childhood abuse. Danese and Widom (Reference Danese and Widom2020) examined a unique cohort of 1196 children with both objective, court-recorded evidence of abuse and their subjective reports of their childhood abuse in adulthood. A history of maltreatment and an extensive psychiatric evaluation were conducted. They found that the risk of psychopathology associated with objective indicators was minimal, even in cases of severe child abuse confirmed by court records. Contrastingly, the risk of psychopathology associated with subjective reports was high, and these findings have implications for how we study the neurobiological impact of child maltreatment.

The greater relevance of subjective measures of trauma compared to objective measures can be attributed to several factors: First, the impact of trauma on an individual’s psychological well-being is influenced by their subjective perception and interpretation of the event. Two people may experience the same objective traumatic event but have vastly different psychological responses based on their unique perspectives, coping mechanisms and personal history. Traumatic events can have different meanings for different individuals. Subjective trauma measures recognize that the personal meaning and significance of an event can impact psychological well-being and the risk of developing psychopathology (Nelson et al., Reference Nelson, Bhutta, Burke Harris, Danese and Samara2020). Second, subjective trauma measures consider emotional reactions to events, which are crucial in understanding the severity of psychological distress. Emotional reactions to trauma, such as fear, helplessness or horror, can play a significant role in the development of psychopathology (Noll, Reference Noll2021). Third, subjective measures consider an individual’s resilience and vulnerability factors, which influence how they process and recover from a traumatic event (Gee, Reference Gee2021). These factors may include personal characteristics, support systems and coping strategies that can affect the likelihood of developing psychopathology.

The main contribution of our study to the literature is that we combined the stress inoculation theory with genetic individual differences and proposed the threshold model of stress-related growth, in which not only stress exposure levels but also individual differences, such as genotypes, are involved in stress-related growth. The development of this model enriched the person–environment interaction theory (Fig. 1). Specifically, when considering negative outcomes such as psychological disorders, the diathesis–stress theory (Monroe and Simons, Reference Monroe and Simons1991) explains the interaction process between a person and a negative environment, while the differential susceptibility theory (Belsky and Pluess, Reference Belsky and Pluess2009) explains the interaction between a person with both a negative and positive environment. Then, the vantage sensitivity hypothesis (Pluess and Belsky, Reference Pluess and Belsky2013) starts to address positive outcomes after positive environmental exposure. The threshold model of stress-related growth advanced in this study tackles an aversive situation when positive outcomes occur after negative environmental input, and therefore contributes to the completeness of the person–environment interaction theory. Moreover, the threshold model provides a nuanced description on the shape of the relationship and its promoting factors. Genotype may modulate risk and resilience at an individual level (Feder et al., Reference Feder, Nestler and Charney2009; Rutten et al., Reference Rutten, Hammels, Geschwind, Menne-lothmann, Pishva, Schruers, van den Hove, Kenis, van Os and Wichers2013); our hypothesis provides a genetic basis for psychological growth after stress. It implies that genetic composition, such as CSF3R, may explain, in part, why only some individuals develop positive psychological resources (i.e., future orientation) after adversity, while others do not (Phoolka, Reference Phoolka and Kaur2012).

The second contribution of this study is that it provides evidence using both GWAS and G × E interactions for a specific gene. Prior reports have indicated difficulty in replication and small sample sizes in G × E studies (Dick et al., Reference Dick, Agrawal, Keller, Adkins, Aliev, Monroe, Hewitt, Kendler and Sher2015), and have suggested the need for conducting GWAS as an unbiased approach for discovery. Moore explained the advantages of G × E protocol in psychological research (Moore, Reference Moore2017). Accordingly, many meta-analytical studies have integrated the effect size from different G × E studies to identify significant effects in a relatively large sample (Kim-Cohen et al., Reference Kim-Cohen, Caspi, Taylor, Williams, Newcombe, Craig and Moffitt2006; Manning et al., Reference Manning, Lavalley, Liu, Rice, An, Liu, Miljkovic, Rasmussen‐torvik, Harris, Province, Borecki, Florez, Meigs, Cupples and Dupuis2011), in which the reliability and validity of G × E research with candidate genes were increased. Sometimes, researchers consider SNPs implied by GWARS/GWAS when conducting candidate gene studies (Rietschel et al., Reference Rietschel, Mattheisen, Frank, Treutlein, Degenhardt, Breuer, Steffens, Mier, Esslinger, Walter, Kirsch, Erk, Schnell, Herms, Wichmann, Schreiber, Jöckel, Strohmaier, Roeske, Haenisch, Gross, Hoefels, Lucae, binder, Wienker, Schulze, Schmäl, Zimmer, Juraeva, Brors, Bettecken, Meyer-lindenberg, Müller-myhsok, Maier, Nöthen and Cichon2010). Concurrently, however, researchers have noted concerns about candidate gene studies in this area. The low reproducibility of replicated studies alone may be owing to the choice of environmental variables. Different choices of environmental variables lead to inconsistency between different sources of stress exposure resulting in publication bias (Duncan and Keller, Reference Duncan and Keller2011; Munafò et al., Reference Munafò, Durrant, Lewis and Flint2009). Therefore, cross-validation of results obtained in the same population and stress exposure can enhance the validity of the results. The present results combined the two approaches and cross-validated that the CSF3R interacted with early adversities to result in future orientation. Our study found that specific types of gene are associated with distinct neurobiological changes (i.e., HPA), which could suggest a need for more targeted research approaches. Further, if certain neurobiological changes are associated with resilience to the impact of maltreatment, this could influence the development of therapeutic interventions. For example, interventions might aim to promote the neurobiological markers of resilience or counteract those associated with vulnerability.

The third contribution of this study is that it explored the curvilinear relationship between childhood maltreatment and future orientation under a prior hypotheses, in a large nationwide sample with robust results, thereby resulting in a more precise relationship among gene, childhood maltreatment and future orientation as one important aspect of resilience. Usually linear models are more robust, but if the actual phenomena are not linear, then allowing nonlinear terms can bring us closer to the truth. Since curve models are more likely to be overfit, we used a large sample size with cross-validation to increase the reliability and generalizability of our results. We hope this attempt can encourage other researchers to consider curvilinear relationships in theoretical and statistical modelling.

The present study has several limitations. First, the results we obtained were based on the results of Chinese Han people. After comparing the minor allele frequencies of the four candidate genes in different populations, there are differences in different ethnic populations, which may limit the generalizability of our study (Table S1). Further investigation of shared and nonshared genetic characteristics is therefore warranted, which could facilitate future integration of genetic–psychological trait association studies. Further, future studies are needed to replicate our findings, with additional SNPs in more genes, and using even larger samples (Chabris et al., Reference Chabris, lee, Cesarini, Benjamin and Laibson2015). Second, excluding sexual abuse from the CTQ may limit the representativeness of the measures. Future studies should consider a more comprehensive assessment of environmental variables. Third, although future orientation is an important indicator of resilience and research findings on it can inform our understanding of resilience, it is not fully equivalent to resilience. Future research could consider more resilience indicators and resources (e.g., optimism, hope, self-efficacy, etc.) to form a more valid resilience factor and further verify the stress-related growth hypothesis (Gan et al., Reference Gan, Chen, Han, Yu and Wang2019; Ord et al., Reference Ord, Stranahan, Hurley and Taber2020). Fourth, although we used sex, age and education as covariates in all analyses, other variables, including socioeconomic status, may affect future orientation and are important in terms of both resilience and vulnerability. Fifth, compared with the curvilinear effect of CTQ, the effect size of genotype is relatively small, yet robust. We randomly divided the entire dataset into two parts and consistently observed the replication of the cubic effect and the interaction of genotype in each subset of data. As a methodological simulation study by Ganzach (Reference Ganzach1997) revealed, failing to incorporate appropriate quadratic and product terms into the regression equation can lead to a misinterpretation of the true relationship. Therefore, the interaction effect of genotype should not be overlooked in our quest to uncover the unbiased relationship between CTQ and future orientation. In addition, the identification of CSF3R as an important moderator between stress and stress-related growth is preliminary as variables such as blood parameters (e.g., neutrophil count) (Dale and Link, Reference Dale and Link2009) and family history and current diagnosis of neuropathic pain (Zhang et al., Reference Zhang, Lee, Yi, Nan, Xu, Shin, Ko, Lee, Lee and Kim2017) and Alzheimer’s disease (López-González et al., Reference López-González, Schlüter, Aso, Garcia-Esparcia, Ansoleaga, Llorens, Carmona, moreno, Fuso, Portero-otin, Pamplona, Pujol and Ferrer2015) may covary with CSF3R and help explain how CSF3R works. However, this large-scale study failed to consider these factors. Further research should focus on disentangling these complex relationships to elucidate how genetic and environmental factors jointly contribute to shaping future orientation (Rutter, Reference Rutter2006). Finally, neuroimaging studies are required to identify the neural pathways by which G × E interactions function.

Supplementary material

The supplementary material for this article can be found at https://doi.org/10.1017/S2045796024000581.

Availability of data and materials

Data containing all other variables used in this study are publicly available, except for genetic data, which are contractually prohibited from sharing. https://osf.io/bmntf/?view_only=799d080d7559460288d4d8a7804458d8

Acknowledgements

We thank WeGene customers who consented to participate in research. We also thank employees of WeGene who contributed to the development of the infrastructure that made this research possible.

Financial support

Preparation of this manuscript was supported by the National Natural Science Foundation of China under grant number 32171076, the NSFC-Zhejiang Joint Fund for the Integration of Industrialization and Informatization (No. U1909208), and Hunan Provincial Science and Technology Program (No. 2018WK4001).

Competing interests

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

References

Arzt, E (2001) gp130 cytokine signaling in the pituitary gland: A paradigm for cytokine-neuro-endocrine pathways. Journal of Clinical Investigation 108, 17291733.CrossRefGoogle ScholarPubMed
Ashokan, A, Sivasubramanian, M and mitra, R (2016) Seeding stress resilience through inoculation. Neural Plasticity 2016, 49280814928086.CrossRefGoogle ScholarPubMed
Belsky, J and Pluess, M (2009) Beyond diathesis stress: Differential susceptibility to environmental influences. Psychological Bulletin 135, 885908.CrossRefGoogle ScholarPubMed
Bernstein, DP, Ahluvalia, T, Pogge, D and Handelsman, L (1997) Validity of the Childhood Trauma Questionnaire in an adolescent psychiatric population. Journal of the American Academy of Child & Adolescent Psychiatry 36, 340348.CrossRefGoogle Scholar
Binder, EB, Bradley, RG, liu, W, Epstein, MP, Deveau, TC, Mercer, KB, tang, Y, Gillespie, CF, heim, CM, Nemeroff, CB, Schwartz, AC, Cubells, JF and Ressler, KJ (2008) Association of FKBP5 polymorphisms and childhood abuse with risk of posttraumatic stress disorder symptoms in adults. JAMA: The Journal of the American Medical Association 299, 12911305.CrossRefGoogle ScholarPubMed
Bonanno, GA, Westphal, M and Mancini, AD (2011) Resilience to loss and potential trauma. Annual Review of Clinical Psychology 7(1), 511535.CrossRefGoogle ScholarPubMed
Brooks, M, Graham‐kevan, N, Lowe, M and Robinson, S (2017) Rumination, event centrality, and perceived control as predictors of post‐traumatic growth and distress: The Cognitive Growth and Stress model. British Journal of Clinical Psychology 56, 286302.CrossRefGoogle ScholarPubMed
Bycroft, C, Freeman, C, Petkova, D, Band, G, Elliott, LT, Sharp, K, Motyer, A, Vukcevic, D, Delaneau, O, O’connell, J, Cortes, A, Welsh, S, Young, A, Effingham, M, Mcvean, G, Leslie, S, Allen, N, Donnelly, P and Marchini, J (2018) The UK Biobank resource with deep phenotyping and genomic data. Nature (London) 562, 203209.CrossRefGoogle ScholarPubMed
Carver, CS and Antoni, MH (2004) Finding benefit in breast cancer during the year after diagnosis predicts better adjustment 5 to 8 years after diagnosis. Health Psychology 23, 595598.CrossRefGoogle ScholarPubMed
Casellas-Grau, A, Ochoa, C and Ruini, C (2017) Psychological and clinical correlates of posttraumatic growth in cancer: A systematic and critical review. Psycho-oncology (Chichester, England) 26, 20072018.Google Scholar
Caspi, A, Harrington, H, Milne, B, Amell, JW, Theodore, RF and Moffitt, TE (2003) Children’s behavioral styles at age 3 are linked to their adult personality traits at age 26. Journal of Personality 71, 495514.CrossRefGoogle ScholarPubMed
Caspi, A, Mcclay, J, Moffitt, TE, Mill, J, Martin, J, Craig, IW, Taylor, A and Poulton, R (2002) Role of genotype in the cycle of violence in maltreated children. Science (American Association for the Advancement of Science) 297, 851854.CrossRefGoogle ScholarPubMed
Chabris, CF, lee, JJ, Cesarini, D, Benjamin, DJ and Laibson, DI (2015) The fourth law of behavior genetics. Current Directions in Psychological Science: A Journal of the American Psychological Society 24, 304312.CrossRefGoogle ScholarPubMed
Cicchetti, D, Rogosch, FA and Thibodeau, EL (2012) The effects of child maltreatment on early signs of antisocial behavior: Genetic moderation by tryptophan hydroxylase, serotonin transporter, and monoamine oxidase A genes. Development and Psychopathology 24, 907928.CrossRefGoogle ScholarPubMed
Connor, TJ and Leonard, BE (1998) Depression, Stress and Immunological Activation: The Role of Cytokines in Depressive Disorders. OXFORD: Elsevier Inc.Google ScholarPubMed
Cornelis, MC, Nugent, NR, Amstadter, AB and Koenen, KC (2010) Genetics of post-traumatic stress disorder: Review and recommendations for genome-wide association studies. Current Psychiatry Reports 12, 313326.CrossRefGoogle ScholarPubMed
Crane, MF, Searle, BJ, Kangas, M and Nwiran, Y (2019) How resilience is strengthened by exposure to stressors: The systematic self-reflection model of resilience strengthening. Anxiety, Stress, & Coping 32, 117.CrossRefGoogle ScholarPubMed
Cui, Z, Oshri, A, liu, S, Smith, EP and Kogan, SM (2020) Child maltreatment and resilience: The promotive and protective role of future orientation. Journal of Youth and Adolescence 49, 20752089.CrossRefGoogle ScholarPubMed
Dale, DC and Link, DC (2009) The many causes of severe congenital neutropenia. The New England Journal of Medicine 360, 35.CrossRefGoogle ScholarPubMed
Danese, A and Widom, CS (2020) Objective and subjective experiences of child maltreatment and their relationships with psychopathology. Nature Human Behaviour 4, 811818.CrossRefGoogle ScholarPubMed
Dick, DM, Agrawal, A, Keller, MC, Adkins, A, Aliev, F, Monroe, S, Hewitt, JK, Kendler, KS and Sher, KJ (2015) Candidate gene–environment interaction research: Reflections and recommendations. Perspectives on Psychological Science 10, 3759.CrossRefGoogle ScholarPubMed
Dienstbier, RA (1989) Arousal and physiological toughness - implications for mental and physical health. Psychological Review 96, 84100.CrossRefGoogle ScholarPubMed
Dooley, LN, Slavich, GM, Moreno, PI and Bower, JE (2017) Strength through adversity: Moderate lifetime stress exposure is associated with psychological resilience in breast cancer survivors. Stress and Health 33, 549557.CrossRefGoogle ScholarPubMed
Drury, SS, Theall, KP, Smyke, AT, Keats, BJB, Egger, HL, Nelson, CA, Fox, NA, Marshall, PJ and Zeanah, CH (2010) Modification of depression by COMT val158met polymorphism in children exposed to early severe psychosocial deprivation. Child Abuse and Neglect 34, 387395.CrossRefGoogle ScholarPubMed
Duncan, LE and Keller, MC (2011) A critical review of the first 10 years of candidate gene-by-environment interaction research in psychiatry. American Journal of Psychiatry 168, 10411049.CrossRefGoogle ScholarPubMed
Feder, A, Nestler, EJ and Charney, DS (2009) Psychobiology and molecular genetics of resilience. Nature Reviews, Neuroscience 10, 446457.CrossRefGoogle ScholarPubMed
Finch, JE and Obradović, J (2017) Unique effects of socioeconomic and emotional parental challenges on children’s executive functions. Journal of Applied Developmental Psychology 52, 126137.CrossRefGoogle Scholar
Gan, Y, Chen, Y, Han, X, Yu, NX and Wang, L (2019) Neuropeptide Y gene × environment interaction predicts resilience and positive future focus. Applied Psychology: Health and Well-Being 11, 438458.Google ScholarPubMed
gan, Y, yang, M, zhou, Y and zhang, Y (2007) The two-factor structure of future-oriented coping and its mediating role in student engagement. Personality and Individual Differences 43, 851863.CrossRefGoogle Scholar
Ganzach, Y (1997) Misleading interaction and curvilinear terms. Psychological Methods 2, 235247.CrossRefGoogle Scholar
Garmezy, N (2016) Resiliency and vulnerability to adverse developmental outcomes associated with poverty. The American Behavioral Scientist (Beverly Hills) 34, 416430.CrossRefGoogle Scholar
Gee, DG (2021) Early adversity and development: Parsing heterogeneity and identifying pathways of risk and resilience. The American Journal of Psychiatry 178, 9981013.CrossRefGoogle ScholarPubMed
Holtge, J, Mc Gee, SL, maercker, A and thoma, MV (2018) A salutogenic perspective on adverse experiences the curvilinear relationship of adversity and well-being. European Journal of Health Psychology 25, 5369.CrossRefGoogle Scholar
Höltge, J, Mc Gee, SL and Thoma, MV (2019) The curvilinear relationship of early-life adversity and successful aging: The mediating role of mental health. Aging and Mental Health 23, 608617.CrossRefGoogle ScholarPubMed
Hou, WK, Liu, H, Liang, L, Ho, J, kim, H, Seong, E, Bonanno, GA, Hobfoll, SE and Hall, BJ (2020) Everyday life experiences and mental health among conflict-affected forced migrants: A meta-analysis. Journal of Affective Disorders 264, 5068.CrossRefGoogle ScholarPubMed
Ronnie, J-B (1992) Shattered Assumptions: Towards a New Psychology of Trauma. New York, NY: Free Press, .Google Scholar
Jolicoeur-Martineau, A, belsky, J, Szekely, E, Widaman, KF, pluess, M, Greenwood, C and Wazana, A (2020) Distinguishing differential susceptibility, diathesis-stress, and vantage sensitivity: Beyond the single gene and environment model. Development and Psychopathology 32, 7383.CrossRefGoogle ScholarPubMed
Joseph, S and Linley, PA (2006) Growth following adversity: Theoretical perspectives and implications for clinical practice. Clinical Psychology Review 26, 10411053.CrossRefGoogle ScholarPubMed
Kang, K, Sun, X, Wang, L, Yao, X, Tang, S, Deng, J, Wu, X, yang, C, Chen, G and Wegene Research, T (2021) Direct-to-consumer genetic testing in China and its role in GWAS discovery and replication. Quantitative Biology 9(2), 201215.CrossRefGoogle Scholar
Katz, IM, Rudolph, CW and Zacher, H (2019) Age and career commitment: Meta-analytic tests of competing linear versus curvilinear relationships. Journal of Vocational Behavior 112, 396416.CrossRefGoogle Scholar
Kawai, T, Morita, K, Masuda, K, Nishida, K, Shikishima, M, Ohta, M, Saito, T and Rokutan, K (2007) Gene expression signature in peripheral blood cells from medical students exposed to chronic psychological stress. Biological Psychology 76, 147155.CrossRefGoogle ScholarPubMed
Keller, MC (2014) Gene × environment interaction studies have not properly controlled for potential confounders: The problem and the (simple) solution. Biological Psychiatry (1969) 75, 1824.CrossRefGoogle Scholar
Kim-Cohen, J, Caspi, A, Taylor, A, Williams, B, Newcombe, R, Craig, IW and Moffitt, TE (2006) MAOA, maltreatment, and gene–environment interaction predicting children’s mental health: New evidence and a meta-analysis. Molecular Psychiatry 11, 903913.CrossRefGoogle ScholarPubMed
Kim-Cohen, J and Gold, AL (2009) Measured gene—environment interactions and mechanisms promoting resilient development. Current Directions in Psychological Science: A Journal of the American Psychological Society 18, 138142.CrossRefGoogle Scholar
Lähdepuro, A, Savolainen, K, Lahti-pulkkinen, M, Eriksson, JG, Lahti, J, Tuovinen, S, Kajantie, E, Pesonen, AK, Heinonen, K and Räikkönen, K (2019) The impact of early life stress on anxiety symptoms in late adulthood. Scientific Reports 9, .CrossRefGoogle ScholarPubMed
Lemoult, J, Humphreys, KL, Tracy, A, Hoffmeister, J-A, Ip, E and Gotlib, IH (2020) Meta-analysis: Exposure to early life stress and risk for depression in childhood and adolescence. Journal of the American Academy of Child & Adolescent Psychiatry 59, 842855.CrossRefGoogle ScholarPubMed
Le-Niculescu, H, Balaraman, Y, Patel, SD, Ayalew, M, Gupta, J, Kuczenski, R, Shekhar, A, Schork, N, Geyer, MA and Niculescu, AB (2011) Convergent functional genomics of anxiety disorders: Translational identification of genes, biomarkers, pathways and mechanisms. Translational Psychiatry 1, .CrossRefGoogle ScholarPubMed
López-González, I, Schlüter, A, Aso, E, Garcia-Esparcia, P, Ansoleaga, B, Llorens, F, Carmona, M, moreno, J, Fuso, A, Portero-otin, M, Pamplona, R, Pujol, A and Ferrer, I (2015) Neuroinflammatory signals in Alzheimer disease and APP/PS1 transgenic mice: Correlations with plaques, tangles, and oligomeric species. Journal of Neuropathology and Experimental Neurology 74, 319344.CrossRefGoogle ScholarPubMed
Lyons, DM, Buckmaster, PS, Lee, AG, wu, C, Mitra, R, Duffey, LM, Buckmaster, CL, Her, S, Patel, PD, Schatzberg, AF and Gage, F (2010a) Stress coping stimulates hippocampal neurogenesis in adult monkeys. Proceedings of the National Academy of Sciences - PNAS 107, 1482314827.CrossRefGoogle ScholarPubMed
Lyons, DM, Parker, KJ and Schatzberg, AF (2010b) Animal models of early life stress: Implications for understanding resilience. Developmental Psychobiology 52, 402410.CrossRefGoogle ScholarPubMed
Manichaikul, A, Mychaleckyj, JC, Rich, SS, Daly, K, Sale, M and Chen, W-M (2010) Robust relationship inference in genome-wide association studies. Bioinformatics 26, 28672873.CrossRefGoogle ScholarPubMed
Manning, AK, Lavalley, M, Liu, CT, Rice, K, An, P, Liu, Y, Miljkovic, I, Rasmussen‐torvik, L, Harris, TB, Province, MA, Borecki, IB, Florez, JC, Meigs, JB, Cupples, LA and Dupuis, J (2011) Meta‐analysis of gene‐environment interaction: Joint estimation of SNP and SNP × environment regression coefficients. Genetic Epidemiology 35, 1118.CrossRefGoogle ScholarPubMed
Massat, I, Souery, D, Del-favero, J, Nothen, M, Blackwood, D, Muir, W, Kaneva, R, Serretti, A, Lorenzi, C, Rietschel, M, Milanova, V, Papadimitriou, GN, Dikeos, D, Broekhoven, V and Mendlewicz, J (2004) Association between COMT (Val158Met) functional polymorphism and early onset in patients with major depressive disorder in a European multicenter genetic association study. Molecular Psychiatry 10, 598605.CrossRefGoogle Scholar
Mclafferty, M, O’neill, S, Armour, C, Murphy, S and Bunting, B (2018) The mediating role of various types of social networks on psychopathology following adverse childhood experiences. Journal of Affective Disorders 238, 547553.CrossRefGoogle ScholarPubMed
Mclaughlin, KA, Colich, NL, Rodman, AM and Weissman, DG (2020) Mechanisms linking childhood trauma exposure and psychopathology: A transdiagnostic model of risk and resilience. BMC Medicine 18, 9696.CrossRefGoogle ScholarPubMed
Meichenbaum, D (2017) Stress inoculation training: A preventative and treatment approach. In The Evolution of Cognitive Behavior Therapy. Routledge, 101124.CrossRefGoogle Scholar
Monroe, SM and Simons, AD (1991) Diathesis-stress theories in the context of life stress research: Implications for the depressive disorders. Psychological Bulletin 110, 406425.CrossRefGoogle ScholarPubMed
Moore, SR (2017) Commentary: What is the case for candidate gene approaches in the era of high‐throughput genomics? A response to Border and Keller (2017). Journal of Child Psychology and Psychiatry 58, 331334.CrossRefGoogle ScholarPubMed
Morita, K, Saito, T, Ohta, M, Ohmori, T, Kawai, K, Teshima-kondo, S and Rokutan, K (2005) Expression analysis of psychological stress-associated genes in peripheral blood leukocytes. Neuroscience Letters 381, 5762.CrossRefGoogle ScholarPubMed
Munafò, MR, Durrant, C, Lewis, G and Flint, J (2009) Gene × environment interactions at the serotonin transporter locus. Biological Psychiatry (1969) 65, 211219.CrossRefGoogle ScholarPubMed
Nelson, CA, Bhutta, ZA, Burke Harris, N, Danese, A and Samara, M (2020) Adversity in childhood is linked to mental and physical health throughout life. BMJ (Online) 371, m3048m3048.Google ScholarPubMed
Noll, JG (2021) Child sexual abuse as a unique risk factor for the development of psychopathology: The compounded convergence of mechanisms. Annual Review of Clinical Psychology 17, 439464.CrossRefGoogle ScholarPubMed
Nurmi, J-E and Pulliainen, H (1991) The changing parent-child relationship, self-esteem, and intelligence as determinants of orientation to the future during early adolescence. Journal of Adolescence (London, England.) 14, 3551.CrossRefGoogle Scholar
Ord, AS, Stranahan, KR, Hurley, RA and Taber, KH (2020) Stress-related growth: Building a more resilient brain. The Journal of Neuropsychiatry and Clinical Neurosciences 32, 206212.CrossRefGoogle ScholarPubMed
Park, CL and Ai, AL (2006) Meaning making and growth: New directions for research on survivors of trauma. Journal of Loss and Trauma 11, 389407.CrossRefGoogle Scholar
Phoolka, ES and Kaur, N (2012) Adversity Quotient: A new paradigm in management to explore. Contemporary Business Studies 3(4), 6778.Google Scholar
Pluess, M and Belsky, J (2013) Vantage sensitivity: Individual differences in response to positive experiences. Psychological Bulletin 139, 901916.CrossRefGoogle ScholarPubMed
Prochniak, P and Prochniak, A (2021) Future-oriented coping with weather stress among mountain hikers: Temperamental personality predictors and profiles. Behavioral Sciences 11, .CrossRefGoogle ScholarPubMed
Raison, CL and Miller, AH (2003) When not enough is too much: The role of insufficient glucocorticoid signaling in the pathophysiology of stress-related disorders. American Journal of Psychiatry 160, 15541565.CrossRefGoogle ScholarPubMed
Rietschel, M, Mattheisen, M, Frank, J, Treutlein, J, Degenhardt, F, Breuer, R, Steffens, M, Mier, D, Esslinger, C, Walter, H, Kirsch, P, Erk, S, Schnell, K, Herms, S, Wichmann, HE, Schreiber, S, Jöckel, K-H, Strohmaier, J, Roeske, D, Haenisch, B, Gross, M, Hoefels, S, Lucae, S, binder, EB, Wienker, TF, Schulze, TG, Schmäl, C, Zimmer, A, Juraeva, D, Brors, B, Bettecken, T, Meyer-lindenberg, A, Müller-myhsok, B, Maier, W, Nöthen, MM and Cichon, S (2010) Genome-wide association-, replication-, and neuroimaging study implicates HOMER1 in the etiology of major depression. Biological Psychiatry 68, 578585.CrossRefGoogle ScholarPubMed
Rioux, C, Castellanos-ryan, N, Parent, S and Séguin, JR (2016) The interaction between temperament and the family environment in adolescent substance use and externalizing behaviors: Support for diathesis–stress or differential susceptibility? Developmental Review 40, 117150.CrossRefGoogle ScholarPubMed
Rubin, M, Shvil, E, Papini, S, Chhetry, BT, Helpman, L, Markowitz, JC, Mann, JJ and Neria, Y (2016) Greater hippocampal volume is associated with PTSD treatment response. Psychiatry Research: Neuroimaging 252, 3639.CrossRefGoogle ScholarPubMed
Rutten, BPF, Hammels, C, Geschwind, N, Menne-lothmann, C, Pishva, E, Schruers, K, van den Hove, D, Kenis, G, van Os, J and Wichers, M (2013) Resilience in mental health: Linking psychological and neurobiological perspectives. Acta Psychiatrica Scandinavica 128, 320.CrossRefGoogle ScholarPubMed
Rutter, M (2006) Implications of resilience concepts for scientific understanding. Annals of the New York Academy of Sciences 1094, 112.CrossRefGoogle ScholarPubMed
Sala, R, Goldstein, BI, Wang, S and Blanco, C (2014) Childhood maltreatment and the course of bipolar disorders among adults: Epidemiologic evidence of dose-response effects. Journal of Affective Disorders 165, 7480.CrossRefGoogle ScholarPubMed
Seery, MD, Holman, EA and Silver, RC (2010) Whatever does not kill us: Cumulative lifetime adversity, vulnerability, and resilience. Journal of Personality and Social Psychology 99, 10251041.CrossRefGoogle Scholar
Seery, MD and Quinton, WJ (2016) Understanding resilience: From negative life events to everyday stressors. Advances in Experimental Social Psychology 54, 181245.CrossRefGoogle Scholar
Seginer, R (2008) Future orientation in times of threat and challenge: How resilient adolescents construct their future. International Journal of Behavioral Development 32, 272282.CrossRefGoogle Scholar
Serrano, C, Andreu, Y, Greenglass, E and Murgui, S (2021) Future-oriented coping: Dispositional influence and relevance for adolescent subjective wellbeing, depression, and anxiety. Personality and Individual Differences 180, .CrossRefGoogle Scholar
Southwick, SM and Charney, DS (2012) The science of resilience: Implications for the prevention and treatment of depression. Science (American Association for the Advancement of Science) 338, 7982.CrossRefGoogle ScholarPubMed
Steine, IM, Winje, D, Krystal, JH, Bjorvatn, B, Milde, AM, Grønli, J, Nordhus, IH and Pallesen, S (2017) Cumulative childhood maltreatment and its dose-response relation with adult symptomatology: Findings in a sample of adult survivors of sexual abuse. Child Abuse and Neglect 65, 99111.CrossRefGoogle Scholar
Taylor, SE (2010) Mechanisms linking early life stress to adult health outcomes. Proceedings of the National Academy of Sciences - PNAS 107, 85078512.CrossRefGoogle ScholarPubMed
Tedeschi, RG and Calhoun, LG (2004) Posttraumatic growth: Conceptual foundations and empirical evidence. Psychological Inquiry 15, 118.CrossRefGoogle Scholar
Tedeschi, RG and Lg, C (1996) The posttraumatic growth inventory: Measuring the positive legacy of trauma. Journal of Traumatic Stress 9, 455471.CrossRefGoogle ScholarPubMed
Tedeschi, RG, Tedeschi, JS-F, Kanako, T and calhoun, LG (2018) Posttraumatic Growth: Theory, Research and Applications. New York, NY: Routledge.CrossRefGoogle Scholar
Tsyglakova, M, Mcdaniel, D and Hodes, GE (2019) Immune mechanisms of stress susceptibility and resilience: Lessons from animal models. Frontiers in Neuroendocrinology. 54, 100771100771.CrossRefGoogle ScholarPubMed
Turner, RJ and Lloyd, DA (1995) Lifetime traumas and mental health: The significance of cumulative adversity. Journal of Health and Social Behavior 36, 360376.CrossRefGoogle ScholarPubMed
Watanabe, K, Taskesen, E, van Bochoven, A and Posthuma, D (2017) Functional mapping and annotation of genetic associations with FUMA. Nature Communications 8, .CrossRefGoogle ScholarPubMed
Zannas, AS and West, AE (2014) Epigenetics and the regulation of stress vulnerability and resilience. Neuroscience 264, 157170.CrossRefGoogle ScholarPubMed
Zhang, E, Lee, S, Yi, M-H, Nan, Y, Xu, Y, Shin, N, Ko, Y, Lee, YH, Lee, W and Kim, DW (2017) Expression of colony-factor 3 receptor in the spinal dorsal horn following spinal nerve ligation-induced neuropathic pain. Molecular Medicine Reports 16, 20092015.CrossRefGoogle Scholar
Zoellner, T and Maercker, A (2006) Posttraumatic growth in clinical psychology — A critical review and introduction of a two component model. Clinical Psychology Review 26, 626653.CrossRefGoogle ScholarPubMed
Figure 0

Figure 1. Illustration of the different models describing person × environment interaction.

Note: The coloured models are existing theories whereas stress-related growth is proposed in this article.
Figure 1

Table 1. The curvilinear relationship between future orientation and early adversity

Figure 2

Table 2. Top association findings (P < 5 × 10-8) in the GWAS analysis of future orientation and interaction with early adversity

Figure 3

Figure 2. Manhattan plot of GWAS associations.

Note: The x-axis is chromosomal position and y-axis is the -log10 P-value of associations with future orientation effect. Significant (P = 5 × 10-8) and suggestive (P = 1 × 10-5) genome-wide threshold are shown by red and black lines.
Figure 4

Figure 3. Gene × CTQ-R interaction on FCI.

Note: CTQ: childhood trauma questionnaire; FCI: future-orientated coping inventory. The dashed line represents the loess smoothing of the raw data, the solid line represents the quadratic (green) or cubic (red) polynomial regression as an approximation, and the dotted vertical lines mark the critical turning points of each curve.
Supplementary material: File

Gan et al. supplementary material

Gan et al. supplementary material
Download Gan et al. supplementary material(File)
File 235.8 KB