Does Team Boundary-Spanning Activities on Innovation Performance?

1. Introduction

With the intensification of informatization and networking trends, organizations in a dynamic competitive environment gradually show new features such as non-boundary features, bureaucracy, and flattening [1]. The collaborative innovation team comprises high-quality talents from, among others, enterprises and universities and has become a critical organizational form for carrying out innovation activities. Under circumstances in which the time allocated for innovation research and development (R&D) is significantly shortened, and innovation tasks are complex and changeable, the team and the organization can no longer obtain the resources required for innovation activities by themselves. Instead, they must establish connections with other organizations through team boundary-spanning activities and obtain complementary resources to improve innovation performance. Therefore, boundary-spanning activities have become an essential issue for scholars from the innovation perspective. However, the existing literature mainly focuses on how to improve team innovation performance through factors within the team, such as leadership style [2,3], team composition [4,5], the characteristics of team members [6,7,8], team atmosphere [9,10,11] and team human resource management [12]. Research on the influence of collaborative innovation boundary-spanning activities on team innovation performance and research on the intermediate transformation mechanism is relatively scarce. We cannot find references for how the collaborative team can improve innovation performance through boundary-spanning activities..

Team boundary-spanning activities refer to a dynamic and complex process in which sub-teams under a collaborative innovation team reach a consensus on method, work plan, personnel allocation, and performance goals in the process of communication, cooperation, and R&D to design and craft the expected task at the team level and guarantee the smooth completion of expected goals. Meanwhile, teamwork will eventually be executed and completed by team members inclined to design their work independently. Team members will craft their work by adjusting tasks and relation boundary-spanning activities based on their objectives, significance, and abilities [13]. Therefore, team job crafting and individual job crafting triggered by team boundary-spanning activities may become a meaningful way to improve team innovation performance. Existing research on job crafting mainly focuses on the antecedents of individual job crafting and their influence on employees' innovation behavior and job performance. Specifically, individual job crafting's antecedents include innovative team climate [14], work engagement [15], and the congruence between job characteristics and other team internal factors. Related research also discusses individual job crafting's influence on job satisfaction [7,16], innovation behavior [17,18], and working performance [19]. However, most studies are independent of each other. It is still being determined whether individual job crafting mediates between its antecedent factors and the resulting consequences; the same holds for team job crafting [20]. It is necessary to distinguish between individual and team job crafting. In order to uncover the "black box" of how team boundary-spanning activities affect team innovation performance, it is also required to investigate further the mediating mechanism between such activities and team innovation performance.

The main objectives of this study are (1) analyzing the impact of the boundary-spanning activities of collaborative innovation teams on team innovation performance; (2) investigating whether job crafting mediates the relationship between boundary-spanning activities and the team innovation performance of collaborative innovation teams, and examining the different mediating roles of team job crafting and individual job crafting in the relationship between boundary-spanning activities and the team innovation performance of collaborative innovation teams; (3) Further analysis of the relationship between team boundary-spanning activities and team innovation performance through a double-difference "quasi-natural experiment" (4) providing advice to collaborative innovation teams about how to improve team innovation performance by using team boundary-spanning activities.

Compared with the existing literature, this paper makes the following contributions: 1. Few studies on team innovation performance have been empirically analyzed from the perspective of boundary-spanning team activities. 2. analyzed how boundary-spanning team activities affect team innovation performance through two mediating variables, team job crafting and individual job crafting, and then clarified the interaction mechanism between them.3.

A PSM-DID model was applied to reduce the endogeneity between boundary-spanning team activity and team innovation performance, using whether boundary-spanning team activity occurred as a quasi-natural experiment to make the conclusions more convincing.

2. Theory and research hypotheses

2.1. Influence of the boundary-spanning activities of collaborative innovation teams on team innovation performance

Faced with intensified global competition and a changing market, organizations must continuously carry out innovative activities to meet challenges [21,22,23]. Due to the limitations of isolated information and resources, collaborative innovation teams need to carry out boundary-spanning activities to build a link with external organizations [24] and intentionally introduce and apply new ideas, processes, products, or new procedures and valuable to the team. Innovation performance is the result of the innovation activities of collaborative innovation teams [25], which is an effective indicator used to measure the quality and efficiency of the innovation behavior of the team. Team boundary-spanning activities refer to managing the relationship between a team and external stakeholders, including mission coordinator activities, working with external teams to complete missions, scouting activities, and ambassadorial activities abroad [24].

First, the ambassador activities of collaborative innovation teams refer to the interaction between team members and external higher-level organizations, which reflects the vertical dimension of team boundary-spanning activities. The resource dependence theory indicates that obtaining more key resources is vital for a team to improve its innovation performance. A collaborative team’s diplomatic behavior improves collaborative innovation team performance, including introducing its goal, value, and market potential to the higher-level organization, obtaining their understanding, appreciation, and support, and assisting the team in acquiring essential innovative resources.

Second, the task coordinator activities of the collaborative innovation team refer to the communication, coordination, negotiation, and feedback between internal members and external partners to successfully achieve the innovative goal [26,27,28]. The coordination behavior reflects the collaborative innovation team's boundary-spanning activities on the horizontal dimension. Due to the inconsistency of work ethic, method, and schedule, the collaborative innovation team shall hold regular or temporary meetings to check work progress and work quality and decide on the future work plan and method according to the current work status. Bertin and Truijen et al. pointed out that collaborative innovation teams can better integrate and allocate their innovation resources through coordination behaviors and promote innovation projects' progress, thus ensuring innovation performance targets' achievement [29,30,31].

Finally, the scout activities of collaborative innovation teams refer to the behavior whereby team members pay attention to external partners to obtain necessary information and related technologies, which reflects the competitive dimension of boundary-spanning activities. Based on the innovative project’s expected goal, collaborative innovation team members constantly scan the external environment and search for relevant information so that they can have access to information related to consumer preferences and the development trend of market competition. This is not only helpful to the interactive optimization and improvement of team innovation, but it can also help the collaborative innovation team detect external threats in time and avoid the risks of innovation. This will help improve the innovation team’s performance [32,33]. Hence, we hypothesize:

H1: The boundary-spanning activities of collaborative innovation teams significantly positively impact team innovation performance.

2.2. Mediating role of team job crafting

Team job crafting refers to the decision of team members to change their work content and approach through close collaboration and communication [34,35]. First, the boundary-spanning activities of collaborative innovation teams considerably impact the crafting of teamwork. The ambassador activities in boundary-spanning activities win the understanding and support of the superior leaders. Consequently, the team has more freedom in defining and executing its innovation tasks. In a collaborative innovation team with high discretion, team members can independently make collective decisions and cooperate, which promotes job crafting at the team level. The coordination behavior in the boundary-spanning activity enhances the task interdependence of the entire team with other external units. Leana and Cuguero-Escofet believe that in a work situation with a high task interdependence, members are more willing to participate in a cooperative negotiation process to change traditional work practices and solve problems more efficiently. Meanwhile, scout activities can make team members feel the pressure resulting from the competitive climate, creating a solid atmosphere of teamwork and improving the willingness of team members to make collective decisions and work together to achieve the same goal [34,36].

Second, team job crafting can improve the innovation performance of collaborative innovation teams. Tims and Chen et al. found that team job crafting can significantly promote work engagement at the team level [37,38]. This is because team job crafting enables the team to make independent decisions, integrate resources, restructure tasks, and adjust work, which not only stimulates the enthusiasm of the whole team but also improves the matching degree of each team member with the work, thus stimulating the creativity of the team. Mattarelli and Tagliaventi found that the technology developers of the company can bring positive organizational changes through team job crafting [39,40]. This shows that the work team has a personal initiative and can integrate organizational resources through cooperation to activate organizational creativity. Thus, we hypothesize:

H2: Team job crafting plays a mediating role in the impact of team boundary-spanning activities on team innovation performance.

2.3. Mediating effect of individual job crafting

Individual job crafting is an active adjustment team members make based on the traditional top-down job design. According to their job contents, they independently reconstruct and adjust job tasks and relationships with other members, highlighting individuals' initiative and enthusiasm [41]. Specifically, the collaborative innovation team establishes interaction with external related subjects to achieve a common innovation goal. After establishing the innovation goal of the team through boundary-spanning activities, the team leader would refine the overall team task and designate a specific task for each team member. After receiving their job task, each team member will reinterpret the characteristics of the job they undertake according to their cognitive framework and complete the job task based on the job crafting to contribute to the improvement of the team's innovation performance.

Similarly, individual job crafting also positively impacts the innovation performance of collaborative innovation teams. First, individual job crafting can increase team members' work input, guide them to actively apply valuable ideas in their job, and improve their work efficiency and the innovation performance of the whole team. Bakker et al. and Petrou et al. found that employees' job-crafting behavior, actively seeking work resources and accepting work challenges, can significantly enhance their commitment to work [42,43]. Team members immersed in their job showed higher levels of innovation performance [44,45]. Second, individual job crafting is goal-oriented proactive behavior. Team members can mobilize their positive emotions while pursuing goals and realizing self-value. Specifically, team members in a positive mood are more inclined to accept challenging work and have a higher sense of self-efficacy when solving work difficulties creatively, which helps employees improve their innovation performance. Therefore, we hypothesize:

H3: Individual job crafting plays an intermediary role in the impact of team boundary-spanning activities on team innovation performance.

2.4. Chain mediating effect of team job crafting and individual job crafting

First, in modern organizations, teams gradually become the basic unit of work. Organizations finish complex, innovative tasks, increase their flexibility, and improve overall performance, and they do this using teams [46]. In this case, when collaborative innovation teams implement boundary-spanning activities to improve performance, crafting at the team level will build team norms characterized by innovation and job crafting. These team norms represent the requirements and expectations of employees' behaviors and guide the employees to craft their job based on team job-crafting objectives and requirements, and performance standards. This is the so-called concretive control [47]. Second, employees' crafting activities under the influence of team job crafting can be expanded due to the observance, learning, and imitation among all employees [48,49]. Whether the employee can implement job crafting becomes a criterion of his integration into the team. Thus, we hypothesize:

H4: Team job crafting and individual job crafting play a mediating role in team boundary-spanning activities affecting team innovation performance.

The theoretical research framework of the influencing mechanism of the boundary-spanning activities of teams on team innovation performance is proposed, as shown in Figure 1.

3. Research design

3.1. Sample and data collection procedure

A questionnaire survey was used to evaluate the suggested model. First, the initial questionnaire was designed by referring to the mature scale in the relevant classical literature. The referent-shift consensus model proposed by Chan [50] was used in designing the questionnaire, which means that variables including "team boundary-spanning activities," "team job crafting," and "team innovation performance" was designed from the perspective of the team. A request was made for these questions to be answered from the perspective of team awareness. The "individual job crafting" variable was designed from the employees' perspective. Second, the terminology, the clarity of the instructions, and the structure of the questionnaire's responses were evaluated by three subject-matter experts and five teams from Shandong province's universities engaged in scientific research and innovation. Modifications were made accordingly. Finally, teams that were developing collaborative innovation projects were selected. The distribution of 456 surveys resulted in the recovery of 400 questionnaires. Three hundred thirty-one valid surveys were retrieved after invalid data had been removed; these originated from 41 collaborative innovation teams. The characteristics of the teams are shown in Table 1.

3.2. Measures

Except where otherwise noted, the response format for all the measurement scales uses a 5-point Likert-type scale with anchors from 1 (strongly disagree) to 5 (strongly agree).

3.2.1. Team boundary-spanning activities

Team boundary-spanning activities are measured by using the instrument developed by Ancona and Caldwell [24], including three dimensions of ambassador activities (12 items), task coordinator activities (5 items), and scout activities (4 items). An example item of ambassador activities is “absorb outside pressures for the team so it can work free of interference”; an example item of task coordinator activities is “resolve design problems with external groups”; an example item of scout activities is “scan the environment inside or outside the organization for marketing ideas/expertise.”

3.2.2. Job crafting

Utilizing 15 items modified from Slemp and Vella-Brodrick, job crafting was evaluated [51]. The three crafting dimensions on this scale are task crafting, relational crafting, and cognitive crafting. There are five elements per dimension. An example item of task crafting is “choose to take on additional tasks at work’’; an example item of relational crafting is “make an effort to get to know people well at work”; an example item of cognitive crafting is “think about how your job gives your life purpose.”

Table 2. Table of measurement items.

Measurement items	Measurement Dimension
Team boundary-spanning activities.	ambassador activities	task coordinator activities		scout activities
Job crafting.	task crafting	relational crafting		cognitive crafting
Team innovation performance.	growth performance		task performance

Table 2. Table of measurement items.

Measurement items	Measurement Dimension
Team boundary-spanning activities.	ambassador activities	task coordinator activities		scout activities
Job crafting.	task crafting	relational crafting		cognitive crafting
Team innovation performance.	growth performance		task performance

3.2.3. Team innovation performance

Team innovation performance was measured by using nine items developed by Bishop et al [52]. This instrument includes two dimensions, namely, growth performance (e.g., to better comprehend the underlying principles of certain phenomena) and task performance (e.g., lowering development costs for products or processes).

3.2.4. Common method variance

A self-reported questionnaire was used to gather the data. Therefore, the common-method variation (CMV) could pose a risk to the reliability of empirical findings. Thus, this paper detects potential CMV by performing a full covariance test (FCT) on all measured problem items and shows the maximum value of VIF for each dimension in the Table 3, and the maximum value of VIF measured in all dimensions is lower than the maximum acceptable value of 3.3, from which it can be inferred that there is no interference of CMV in this paper.In addition, the CMV was tested again using the Harman one-way method [53]. The results showed that the characteristic root of each factor was more significant than 1, explaining 69.251% of the total variance. The first factor explained 22.018% of the total variance, not more than 50% [54], so the CMV was not a serious problem.

3.2.5. Reliability and validity analysis

The Smart PLS3.0 program used confirmatory factor analysis to evaluate the measurement model. Convergent validity aims to guarantee the multiple-item constructions' unidimensionality and eliminate unreliable items [55]. All items must load significantly (p<.05, t≥2.0)and at a figure of at least 0.70 on their respective hypothesized components [56]. After deleting items with a factor loading of less than 0.5, the factor loading value of the remaining items is between 0.704 and 0.818.

The reliability of each item in a construct can be assessed collectively by looking into composite reliability (CR) and average variance extracted (AVE). The CR and AVE must be at least 0.70 and 0.5, respectively, for a construct to be considered reliable [57]. Table 3 demonstrates that all structures' acceptable CR and AVE.

Table 3. Reliability and Validity Test of Scale.

Variable	Measurement item	Factor loading	Cronbach’s α	VIF	CR	AVE
Team boundary-spanning activities	AA1	0.706	0.881		0.905	0.545
	AA2	0.736
	TA1	0.701		2.146
	TA2	0.726
	TA3	0.792
	SA1	0.757
	SA2	0.722
	SA3	0.759
Individual job crafting	IJC1	0.753	0.862		0.897	0.593
	IJC2	0.810
	IJC3	0.812		1.669
	IJC4	0.818
	IJC5	0.713
	IJC6	0.704
Team job crafting	TJC1	0.735	0.894		0.915	0.574
	TJC2	0.795
	TJC3	0.778
	TJC4	0.776
	TJC5	0.782		2.543
	TJC6	0.775
	TJC7	0.713
	TJC8	0.704
Team innovation performance	GP1	0.814	0.905		0.923	0.602
	GP2	0.805
	GP3	0.761
	GP4	0.768
	GP5	0.757		1.755
	TP6	0.741
	TP7	0.746
	TP3	0.810

Note. CR=Composite reliability; AVE=Average variance extracted; AA=Ambassador activities; TA=Task coordinator activities; SA=Scout activities; IJC=Individual job crafting; TJC=Team job crafting; GP=Growth performance; TP=Task performance.

Table 3. Reliability and Validity Test of Scale.

Variable	Measurement item	Factor loading	Cronbach’s α	VIF	CR	AVE
Team boundary-spanning activities	AA1	0.706	0.881		0.905	0.545
	AA2	0.736
	TA1	0.701		2.146
	TA2	0.726
	TA3	0.792
	SA1	0.757
	SA2	0.722
	SA3	0.759
Individual job crafting	IJC1	0.753	0.862		0.897	0.593
	IJC2	0.810
	IJC3	0.812		1.669
	IJC4	0.818
	IJC5	0.713
	IJC6	0.704
Team job crafting	TJC1	0.735	0.894		0.915	0.574
	TJC2	0.795
	TJC3	0.778
	TJC4	0.776
	TJC5	0.782		2.543
	TJC6	0.775
	TJC7	0.713
	TJC8	0.704
Team innovation performance	GP1	0.814	0.905		0.923	0.602
	GP2	0.805
	GP3	0.761
	GP4	0.768
	GP5	0.757		1.755
	TP6	0.741
	TP7	0.746
	TP3	0.810

Note. CR=Composite reliability; AVE=Average variance extracted; AA=Ambassador activities; TA=Task coordinator activities; SA=Scout activities; IJC=Individual job crafting; TJC=Team job crafting; GP=Growth performance; TP=Task performance.

The discriminant validity was evaluated by contrasting the shared variances of components with the AVE of individual factors [58,59]. As a result, the discriminant validity was supported by the finding that the shared variance between the factors was less than the AVE of the individual factors. Table 4 shows the calculated values of HTMT, which is the ratio of the average correlation of each variable question item to the average correlation of the other variable question items.The calculated HTMT values of all variables were less than 0.9, and the measurement model could be considered to have good discriminant validity.Hence, The measurement model showed sufficient convergent, discriminant, and reliability validity.

3.3. Analysis results

The direct effects among variables are shown in Table 5, and the mediating effects of individual job crafting and team job crafting in the relationship between team boundary-spanning activities and team innovation performance are shown in Table 6. First, Team innovation performance was significantly impacted by team boundary-spanning activities. (b=0.263, p.001). H1 was therefore supported. Second, team job crafting strongly moderated the expected association between team boundary-spanning activities and team innovation performance. (b=0.248 p.001). Meanwhile, the 95% confidence interval of bootstrap=5000 was [0.174, 0.328], excluding 0. Hence, H2 was supported. Individual job crafting's mediating role between team boundary-spanning activities and team innovation performance was insignificant. (b=0.028, p>.05). Therefore, H3 was not supported. The mediating chain effect of individual job crafting and team job crafting on team boundary-spanning activities and team innovation performance was significant (b=0.025, p<.001), and the 95% confidence interval of bootstrap=5000 was [0.014, 0.040], excluding 0. Hence, H4 was supported.

4. Further analysis

4.1. Sample Selection and Sources

This study examined 71 teams' balanced panel data from January to November 2022. The teams engaged in boundary-spanning activities are utilized as the experimental group. In contrast, the other teams are employed as the control group, with June as the time turning point for analysis. Finally, there were 41 teams in the experimental group and 30 in the control group.

4.2. Variable Definition

4.2.1. Explained variables

The explanatory variable in this paper is team innovation performance(IP), measured in two dimensions: growth performance and task performance. Thus the data from the relevant questions in the questionnaire are summed and averaged to arrive at this indicator.

4.2.2. Core explanatory variables

Team boundary-spanning activities(BSA) is the primary explanatory factor, and this paper treats the behavior of teams engaging in boundary-spanning activities as a policy shock and the cross-sectional term of the pilot team and pilot time grouping dummy variables as explanatory variables.

4.2.3. Control variables

Drawing on relevant studies, task complexity, environmental uncertainty, team reflection, team heterogeneity, and task interdependence were selected as control variables in this paper. The processing of the data followed the data acquisition pattern of the explanatory variables.

4.3. Model Construction

In order to truly distinguish the impact of the behavior of a team performing boundary-spanning activities on team innovation performance, this paper controls for the differences between the research subjects before and after the activities are performed with the help of a double difference model, so the following model is constructed:

$${IP}_{it}=\alpha +{\beta }_1{BSA}_{it}+{\beta }_2{control}_{it}+{\gamma }_i+{\mu }_t+{\beta }_{it}$$

(1)

where $i$ and $t$ represent team i's period $t$. ${BSA}_{it}$ is a dummy variable for team's boundary-spanning activity during the experimental period, and a value of 1 means team $i$ has engaged in boundary-spanning activity in period $t$, and a value of 0 means team $i$ has no boundary-spanning activity in period $t$. ${control}_{it}$ represents other variables that have an impact on team innovation performance other than the behavior of boundary-spanning activity. In order to more precisely reflect the effects of time characteristics and individual characteristics on team innovation performance, and $i$ are thus introduced, representing team fixed effects and year fixed effects, respectively. ${IP}_{it}$ represents the explanatory variable, indicating the innovation performance of team $i$ in period $t$.

Where $i$ and t represent the team $i$ 's period $t$, ${BSA}_{it}$ is a dummy variable for the team's boundary-spanning activity during the experimental period. A value of 1 means team m has engaged in boundary-spanning activity in period $t$, and a value of 0 means team m has no boundary-spanning activity in period $t$.${control}_{it}$ represents other variables that impact team innovation performance other than the behavior of the boundary-spanning activity. In order to more precisely reflect the effects of time characteristics and individual characteristics on team innovation performance, $i$ is thus introduced, representing team-fixed effects and year-fixed effects, respectively.${IP}_{it}$ represents the explanatory variable, indicating the innovation performance of team m in period $t.$Table 8 displays the regression results of team boundary-spanning activities on team innovation performance. The example without including the team, year fixed effects, and control variables is shown in column (1). The findings indicate that the regression coefficient of team boundary-spanning activities on team innovation performance is 15.899 (p 0.01). Column (2) illustrates the scenario where no control factors are added after correcting team and year effects, and column (3) indicates the case where control variables are added after correcting team and year effects, respectively. The findings demonstrate that All of the effects of team boundary-spanning activities on the effectiveness of the team's innovation pass the 1% significance level. As seen in Table 7, team boundary-spanning activities can significantly improve the innovation performance of teams. The innovation performance of teams involved in boundary-spanning activities is 14.449% higher than teams that do not engage in boundary-spanning activities. Therefore hypothesis 1 can be verified.

4.4. Robustness tests

4.4.1. Parallel trend test

The experimental and control groups must have the same trend before the event, i.e., their innovation performance must maintain a comparatively stable trend over time prior to the team engaging in boundary-spanning activities for the difference in difference(did) to be valid. Thus, the parallel trend test in this paper uses the time study method to analyze further the dynamic impact of team boundary-spanning activities on innovation performance while testing the parallel trend hypothesis by constructing the following model:

$${IP}_{it}=\alpha +\sum _{n=-3}^{n=2}{{\beta }_{n}BSA}_{in}+\lambda {control}_{it}+{\gamma }_i+{\mu }_t+{\beta }_{it}$$

(2)

Where ${BSA}_{in}$ is a dummy variable that represents the sample year during which the team's boundary-spanning activity had an impact on the team, and a negative value denotes the year in which the team did not engage in the boundary-spanning activity; The definitions of the other variables are the same as those in the regression model. (2). The base year is the first year the team engaged in boundary-spanning activities, and the difference between the treatment and control groups in the first year following that year is indicated. The results are shown in Figure 4, where it can be concluded that the estimated coefficient fluctuated around 0 before the team had no boundary-spanning activities in 2016 and failed the test. This also shows that there was no discernible difference between the experimental group's performance in innovation before the boundary-spanning activities and that of the control group. However, after the boundary-spanning activities, the estimated coefficients show a significant increase, showing that the team's boundary-spanning activities positively affected the experimental group's performance in terms of innovation.

Figure 2. parallel trend test.

Figure 2. parallel trend test.

Figure 3. placebo test.

Figure 3. placebo test.

4.4.2. Placebo test

This paper conducts a placebo test by randomly assigning experimental groups. Specifically, 40 cities are randomly selected from the overall sample of 71 as the experimental group and the remaining as the control group. This is done to exclude that the boosting effect of team boundary-spanning activities on innovation performance receives interference from other unobserved factors and to ensure that the conclusions obtained are due to teams engaging in boundary-spanning activities. Additionally, the timing of this activity was randomly assigned and repeated 500 times. As well as the probability density distribution of the regression coefficient estimates, the scatter distribution of the corresponding p-values, and the coefficient estimates, Figure 5 also displays the coefficient estimates following the inclusion of control variables, team, and year-fixed effects in the benchmark regression. The sample's coefficient estimations are found to be centered around 0. At the 10% confidence level, most of the estimates are not statistically significant, and the real behavioral effects diverge significantly from those of the placebo test. This suggests that the team innovation performance promotion effect induced by team boundary-spanning activities is not seriously confounded by other unobserved omitted variables, further validating the reliability of the benchmark findings.

4.4.3. Propensity Score Matching

This study uses propensity score matching to deal with the issue of potential bias in sample selection. To minimize systematic differences in innovation performance between teams, the method performs logit regressions on selected control variables with a dummy variable of whether the team performs boundary-spanning activities, and teams with similar resulting matched values are set as the control group. The results of verifying the parallelism in propensity score matching before and after matching are shown in Table 9. Most of the t-test results were insufficient to disprove the initial hypothesis that there was no systematic difference between the experimental and control groups before or after matching. As a result, the robustness of the results was guaranteed because there was no discernible systematic difference between the experimental and control groups used in this work, either before or after matching.

5. Conclusion and discussion

We conducted a quasi-natural experiment on the behavior of teams engaging in boundary-spanning activities, exploring the impact mechanism of boundary-spanning activities on team innovation performance from the perspectives of team shaping, team, and individual job crafting. We selected 41 experimental and 30 control groups. Based on team data from January to January 2022, we used DID method to empirically analyze the impact of boundary-spanning activities on team innovation performance.The research results indicate that compared to teams without boundary-spanning activities, teams with boundary-spanning activities can directly improve team innovation performance. When the team is reflective, and task interdependence is high, it promotes team innovation performance. Team job crafting mediates boundary-spanning activities' positive impact on team innovation performance. Team and individual work crafting mediate between boundary-spanning activities of collaborative innovation teams and team innovation performance. This study explores the influencing mechanism of collaborative innovation team boundary-spanning activities on team innovation performance and further examines the mediating roles of team job crafting and individual job crafting in the positive relationship between team boundary-spanning activities and team innovation performance.

According to this study, collaborative innovation teams can perform better in the invention by engaging in boundary-spanning activities. The findings suggest that collaborative innovation teams can directly achieve innovation performance targets by engaging in boundary-spanning behaviors like ambassador activities, task coordinator activities, and scout activities. These behaviors have been shown to have a significant positive impact on team innovation performance. This finding is consistent with that of Yan et al. [60], who emphasizes the critical role of team boundary-spanning activities in team business model innovation.

Team job crafting mediates the impact of boundary-spanning activities on collaborative innovation teams' performance in terms of invention. The empirical findings show that team job crafting is the only significant mediator of the association between boundary-spanning team innovation activities and team innovation performance. This shows that compared to individual job crafting, team job crafting can play a more critical role in delivering the positive effect of team job crafting boundary-spanning activities on team innovation performance. This conclusion is in line with the research of Kim et al [61]. and Mäkikangas et al. [62], demonstrating that the characteristics of team job crafting are essential antecedents of team job crafting and team job crafting is conducive to improving team performance.

Team innovation performance is positively impacted by collaborative innovation team boundary-spanning activities thanks to the chain mediation effect of individual and team job crafting. The findings demonstrate that while individual job crafting cannot mediate the relationship between collaborative team boundary-spanning activities and team innovation performance, team job crafting and individual job crafting have a chain-mediating effect on that relationship. This indicates that under the cross-boundary strategy implemented by the team, individual job crafting should be carried out based on team job crafting to improve the overall innovation performance of the team. This conclusion further supports the results of McClelland et al. [63], who found that team job crafting is the premise and foundation of individual job crafting. The subsequent PSM-DID model showed that boundary-spanning team activities contributed to team innovation performance compared to non-border team activities. Team heterogeneity, reflection, interdependence, and environmental complexity significantly contributed to team innovation performance. From within the team, team heterogeneity and diversity of team members help to brainstorm new solutions, while team interdependence ensures that novel ideas are fully considered and implemented, thus promoting team innovation performance and team reflection to refine ideas and approaches in the final stage, resulting in a higher innovation factor. From outside the team, environmental complexity increases team innovation performance. If the environmental complexity is too low, there is little room for innovation, and the existence of a certain level of environmental complexity helps to expand the space for team innovation performance, leading to improved team innovation performance.

Team boundary crossing itself is a creative activity that not only provides an essential guarantee for the sustainable development of the team but also is a necessary means to enhance team innovation. According to resource dependency theory, the fundamental way for teams to enhance creativity is to obtain more real or potential resources. While crossing borders, teams consciously acquire more valuable resources such as work information, knowledge, and support and introduce and apply novel ideas, products, or procedures. Thus, team boundary crossing is an activity in which the team acquires more real or potential resources, thus facilitating the team's innovative and creative activities while stimulating the team's creativity. Team boundary crossing can collect external information and other resources related to the team's tasks, which can help the team generate new ideas and make creative task improvement solutions; team boundary crossing will have extensive contact with external stakeholders and exchange ideas or cognitive patterns, thus breaking the established habits of thinking, stimulating creative thinking, and eventually forming new working concepts, which in turn will benefit the team's innovative performance. In addition, the team crosses boundaries to discover internal activity defects through comparison with external ones, thus promoting communication and coordination among members, enhancing cohesion and activity, and ultimately promoting team creativity and innovation performance.

The openness of a team can be enhanced by increasing the heterogeneity of team members, which in turn improves team innovation performance. With the widespread application of economic globalization and networked information technology, the formation of cross-disciplinary, cross-organizational, and cross-regional open innovation teams has become the primary way to improve the innovation performance of teams. In fact, behind each member of a heterogeneous team exists a cross-organizational knowledge network established by the original learning experience or work experience. Through these cross-organizational networks, the innovation mode of the team becomes open innovation. The greater the degree of heterogeneity of members, the smaller the crossover between the cross-organizational networks of each member and the greater the breadth of the team's boundary-spanning search for knowledge. In addition, compared with homogeneous teams, heterogeneous team members are more closely connected to external networks and have a more vital ability to acquire external knowledge, i.e., the greater the depth of boundary-spanning search, the greater the number of ideas, the more outstanding the possibility of innovation, and the higher the performance.

6. Theoretical contribution

First, this study expands on the influencing factors of collaborative innovation team performance. With the acceleration of technological innovation and the constant changes in a competitive environment, boundary-spanning activities play an increasingly prominent role in improving team innovation performance. However, existing research mainly focuses on improving team innovation performance through factors within the team, such as leadership style, team composition, and team atmosphere. The influence of inter-team contact characteristics, such as the impact of boundary-spanning activities on team innovation performance, has received much too little attention. This study addressed the research gap in this area, increased our knowledge of the influencing elements of team innovation performance, and empirically assessed the impact of boundary-spanning activities on team innovation performance in collaborative innovation teams.

Second, based on the job crafting perspective, the influencing process of the collaborative innovation team's boundary-spanning activities on team innovation performance is revealed. There still needs to be more studies on team job crafting compared to individual job crafting. Existing studies still need to thoroughly address the influence mechanism of team boundary-spanning activities on team innovation performance. Therefore, this study empirically analyzes the mediating roles of job crafting at the team and individual levels and the effect of the boundary-spanning activities of collaborative innovation teams on team innovation performance. Team job crafting has a more significant mediating effect on the positive relationship of boundary-spanning activities of collaborative innovation teams on team innovation performance than individual job crafting. A chain mediates the association between boundary-spanning team activities and team innovation performance between team job crafting and individual job crafting. This outcome illustrates not only the diversity of the team and individual job crafting but also the mechanism through which team boundary-spanning activities influence team performance in terms of job crafting.

6.2. Management enlightenment

6.2.1. Actively carry out team boundary-spanning activities

The boundary-spanning activities of collaborative innovation teams can directly promote team innovation performance. Therefore, collaborative innovation teams should select appropriate external partners and actively carry out boundary-spanning activities. Vertically, team leaders should take the initiative to clarify the importance and significance of innovative projects to senior leaders and strive for their understanding and resource support. Horizontally, teams should coordinate and negotiate with external partners on the joint mission and objectives and regularly check the project's progress to ensure that the expected innovation performance targets are achieved. Furthermore, close attention should be paid to market changes and the dynamics of other competitors. Collect helpful information and timely adjust the teamwork according to available information so that teams can improve team innovation performance.

6.2.2. Attach importance to team job crafting

Team job crafting is a crucial mediator for collaborative innovation teams to improve innovation performance through boundary-spanning activities. Therefore, the collaborative innovation team carrying out boundary-spanning activities should pay attention to job crafting at the team level. The team leader should encourage members to share knowledge, exchange work experience, and make decisions collaboratively. The allocation of innovation resources possessed by the team should be planned and rationally distributed based on the team's objectives and job requirements. A flexible working method should be developed to improve the job involvement and creativity of the whole team.

6.2.3. Encourage employees to craft their own job

Job crafting and individual job crafting can successively mediate the positive effect of the collaborative innovation team's boundary-spanning activities on innovation performance. Thus, team leaders should create a team climate that tolerates failure and encourages innovation. Employees should be encouraged to practice new working methods and discover innovative opportunities. Encourage employees to work in teams to craft their work tasks based on team job crafting, ultimately improving the positive effect of team boundary-spanning activities on innovation performance. Despite the contributions of this study to the literature, several limitations in this study warrant further attention and future research.

7. Limitations and future research

First, while this study provides robust empirical evidence of the influencing process of collaborative innovation teams boundary-spanning activities on team innovation performance, further research might use other methods (e.g., qualitative approaches) to capture more information about how collaborative innovation teams’ boundary-spanning activities influence team innovation performance.

Second, it is essential to examine the boundary conditions for team and individual job crafting and their mediating roles. This will provide collaborative innovation teams with valuable suggestions for improving innovation performance through boundary-spanning activities.

Third, the data sample is limited to China. Thus, the conclusions of this study may not be a statistical representation of the collaborative teams of other countries with different economic development environments. Further research can empirically validate the research model proposed in this study using data collected from other countries to generalize our findings.