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The population ecology of undesigned systems: An analysis of the Arizona charter school system

Mars, Matthew M.,Bronstein, Judith

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Mars, Matthew M.; Bronstein, Judith Article The population ecology of undesigned systems: An analysis of the Arizona charter school system Journal of Organization Design Provided in Cooperation with: Organizational Design Community (ODC), Aarhus Suggested Citation: Mars, Matthew M.; Bronstein, Judith (2020) : The population ecology of undesigned systems: An analysis of the Arizona charter school system, Journal of Organization Design, ISSN 2245-408X, Springer, Cham, Vol. 9, Iss. 1, pp. 1-18, https://doi.org/10.1186/s41469-020-00083-y This Version is available at: https://hdl.handle.net/10419/252169 Standard-Nutzungsbedingungen: Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Zwecken und zum Privatgebrauch gespeichert und kopiert werden. Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich machen, vertreiben oder anderweitig nutzen. Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, gelten abweichend von diesen Nutzungsbedingungen die in der dort genannten Lizenz gewährten Nutzungsrechte. Terms of use: Documents in EconStor may be saved and copied for your personal and scholarly purposes. You are not to copy documents for public or commercial purposes, to exhibit the documents publicly, to make them publicly available on the internet, or to distribute or otherwise use the documents in public. If the documents have been made available under an Open Content Licence (especially Creative Commons Licences), you may exercise further usage rights as specified in the indicated licence. https://creativecommons.org/licenses/by/4.0/ RESEARCH Open Access The population ecology of undesigned systems: an analysis of the Arizona charter school system Matthew M. Mars 1* and Judith L. Bronstein 2 * Correspondence: mmars@email. arizona.edu 1 Leadership and Innovation, The University of Arizona, 1110 E. South Campus Dr., Saguaro Hall 205, Tucson, AZ 85721, USA Full list of author information is available at the end of the article Abstract The application of ecological concepts and principles to the study of organization design and system development is now commonplace. Population ecology is one biological perspective that has been especially influential within the organization design literature. In the current study, we illustrate for the first time how this framework can be used to reveal when and in what ways intervention is warranted within a system that, like a biological population in nature, has emerged with little to no purposeful design. Specifically, we use 20 years of data on 1,074 Arizona charter schools to illustrate how population analysis can be used to uncover the characteristics of individual organizations that have the highest ability to survive over time within systems that have been allowed to emerge with little to no purposeful design. Our findings lead us to argue how pre-intervention population analysis at the system level can influence organization-level design choices in a way that enables dynamic fit and thereby enhances the likelihood of organization survivorship and innovation over time. Keywords: Inter-organizational dynamics, Population ecology, dynamic fit Researchers have put immense effort into gaining a deeper understanding of the various elements that influence the structure and design of organizations and the evolution of the systems they compose. The relevant lines of inquiry are often guided by theories that originate within economics and sociology, with primary foci being system creation, growth, continuation, and performance (e.g., Borgatti and Foster 2003; Ibarra et al. 2005; Kilduff and Brass 2010; Perry-Smith and Mannucci 2017; Smangs 2006). There are also a growing number of instances in which the study of organization design and system development incorporates principles from ecology, the field of biology that studies the interaction between species and their environment (e.g., Acs et al. 2017; Baldwin 2012; Brown and Mason 2017; Jacobides et al. 2018; Kapoor 2018; McMullen 2018; Shaw and Allen 2018). This is appealing, as ecological systems in nature are made up of hierarchies of units that grow, shrink, network, and change function over time. Multiple efforts have been made to map ecological hierarchies onto organizational structures. One approach is to use principles from population ecology © The Author(s). 2020 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. Mars and Bronstein Journal of Organization Design (2020) 9:17 https://doi.org/10.1186/s41469-020-00083-y (Carrol 1984; Hannan and Freeman 1977). Within this framework, single organizations are treated as “individuals”that can vary in properties, and groups of organizations that serve a certain function are considered “populations”. An alternative framework is to consider organizational networks to be ecosystems (Mars and Bronstein 2018; Mars et al. 2012; Shaw and Allen 2018). This framework treats groups of organizations that form complex networked units in which there are within-unit and across-unit positive, neutral, and negative interactions that are influenced by variable and often unpredictable external conditions. For example, the ecosystem framework is commonly used to study value chains that enable the diffusion of innovations (Jacobides et al. 2018). Each of these approaches has value: the population-ecology approach captures both the short- and long-term dynamics of larger systems, while the ecosystems approach captures networks of interactions in the units that make up systems. The populationecology approach has one distinct advantage for understanding organization design, however. Following Hannan and Freeman (1977), it captures the biologically accurate idea that systems are not designed to succeed or to fail, though success or failure might ultimately result from their properties. Therefore, we propose that the populationecology approach is an ideal framework in which to consider how the founding conditions and characteristics of an unplanned system affect the design trends and survivorship patterns across the organizations that compose it. In order to interrogate the merits of our proposition, we chose an organizational population that has emerged with little to no preemptive design: the Arizona Charter School System (ACSS). The ACSS was initiated in 1995 when the State of Arizona (AZ) established the set of policies that first allowed for the use of public funds to found and operate charter schools. The underlying intent of this policy was to improve public education through the creation of competitive, market-like alternatives to conventional school districts (Lubienski 2003). Generally, charter schools receive a standard amount of state funding for each student enrolled, but typically at a rate that is lower than what their conventional public school counterparts receive. In return, charter schools operate with relatively high autonomy, the logic being that independence promotes (if not demands) the design and implementation of innovative service models that are able to improve student learning in efficient and cost-effective ways. Thus, the charter school model treats States as arms-length investors, and charter schools as entrepreneurial ventures that aim to create value through the productive disruption of the public education systems. School autonomy, in conjunction with vague and shifting State oversight, has allowed the ACSS to develop fairly organically, rather than according to a proactive design. This lack of design has resulted in the ACSS evolving without strategic mechanisms (e.g., diversity in school mission and models, geographic distribution) that impose top-down influence. Episodic shifts in what have been described as laissez-faire oversight structures that have involved remarkably little planning or foresight have also been allowed to occur (ACSA, pers. comm., November 2018; Bulkley 2001). The choices for how schools are set up have been left to the instincts of the founding entrepreneurs and designers who, over the existence of the ACSS, have had little system-level context to draw upon when making strategic decisions. New, highly diverse charter schools have been initiated each year; conversely, large numbers of them have shut their doors after some number of years of operation. Thus, the ACSS offered us the opportunity to Mars and Bronstein Journal of Organization Design (2020) 9:17 Page 2 of 18 examine how the founding conditions and characteristics of systems that emerge and evolve with relatively little planning affect the designs and survivorship of organizations within. In this contribution, we use principles emerging from the biological study of populations in nature to analyze a body of data specific to the ACSS, with the intent of identifying the relational ties and dynamics that influence the structure and design of both organizations and the systems they compose. In doing so, we establish a stronger understanding of the implications of such factors as initial size and growth over time on the survival of organizations (i.e., survivorship) within shared systems. We are careful to note that the units of analysis that we focus on are the charter schools that compose the ACSS, rather than on the system itself. By focusing our analysis exclusively on the schools, we are able to illustrate how the rigorous application of biological principles and analytical techniques can reveal new, complex insights into the interplay between organization structure and design and system planning and dynamism. We close the paper with a discussion of how, based on our examination of the ACSS, population analysis can inform strategic design choices at both the organization and system levels. More specifically, we propose how and when systems such as the ACSS that have emerged with little planning and coordination might benefit from a designer’s hand. Methods As described in the Introduction, we chose the ACSS for analysis because it is a remarkably clear case of a population that originated with very little planning and overall design and that has subsequently evolved without significant interventions. It has two additional features that lend it to this analysis. First, we can pinpoint the beginning of the formal emergence of the ACSS. We are therefore able to identify and analyze trends related to the characteristics and survival of schools over the entire duration of the system’s existence. Second, the ACSS is large, having grown over the past two decades to include more charter schools per capita than any other State. Specifically, there were 556 charter schools operating in AZ during the 2016-17 academic year (the last year for which complete data are available), which equated to one charter school for every 12,619 residents (Arizona Charter School Association, 2017; United States Census Bureau 2018). Currently, charter schools make up 30% of all public schools in AZ and serve 17% of the total statewide public school enrollments (Arizona Charter School Association, 2020). We assembled a unique longitudinal dataset that begins in 1996 and that currently extends through 2017. We accessed the data in partnership with the AZ Charter School Association (ACSA) and the AZ Department of Education (ADE). The ACSA is a nonprofit organization whose mission is to foster autonomy, equity, and quality across the ACSS (Arizona Charter School Association, 2018). We note that the ACSA has no formal authority over statewide charter school policies, which is consistent with the general lack of formal and consistent design at the system level. The database consists of nearly 10,000 lines of data (one line of data per school per year of its existence) and spans 18 variables. Here, we primarily make use of 1,074 lines of the master database, with each line summarizing data for each school across its ‘lifetime’. The subset of variables utilized in the analyses include (1) the year a school opened, (2) whether that school was still in operation at the end of 2017, (3) the year it closed if it is no longer Mars and Bronstein Journal of Organization Design (2020) 9:17 Page 3 of 18 in operation, (4) the grade levels served in its most recent year of operation, (5) student enrollment in the first year of its operation, and (6) school mission. The first three variables address the lifespan of each school, while the last three variables capture the basic structure and design features of each school. A charter school mission is “defined by norms and ideas associated with educational professionalism, provision of social services, and grassroots visions tied to community and parental involvement as well as local economic development”(Henig et al. 2005, p. 489). The AZ State Board for Charter Schools (Arizona State Board for Charter Schools, 2019a) uses 22 mission-types to characterize charter schools. These are listed in Table 1. Examples of the more prominent mission-types are College Preparatory, Math and Science/STEM Foci, and At-Risk Student Population. Although we have aimed for completeness of data, ACSS data managers have not been able to locate certain pieces of information. In particular, recordkeeping, especially for schools no longer in operation, has been sporadic due to several shifts in state agency oversight mechanisms and responsibilities. Such inconsistencies point to how the ACSS has emerged and evolved in unplanned ways. In November 2018, we conducted a day-long, in-person focus group with a panel of experts from the ACSA, ADE, and several larger AZ charter schools. This exercise confirmed the validity of the database, as well as guided us in its continuous refinement and expansion. Table 1 AZ Charter School Mission Types used by the AZ State Board for Charter Schools (2019a) Mission-Type Alternative/At Risk Back to Basics Blended Learning Cambridge/American College Teaching Quality Core College Preparatory Computer-based Core Knowledge Dual Language Equine/Agricultural Studies Expeditionary Learning Extended Day/Year Fine Arts International Baccalaureate Math and Science/STEM Montessori Multi-age Multiple Intelligences Online/Virtual Dropout Recovery Project-based Special Populations Traditional Mars and Bronstein Journal of Organization Design (2020) 9:17 Page 4 of 18 General charter school population descriptors Our initial step to describing the ACSS as a whole was to first examine the sizes of 1, 074 schools; schools make up the “individuals”in the charter school “population” (sensu Hannan and Freeman 1977). Recalling that there are missing data for some schools, portions of our analysis include fewer than 1,074 schools. We make note of the exact number of schools included in each of the analyses that follow. Taking into consideration the recommendations of AZ charter school experts, we defined initial school size as student enrollment, averaged across all school days of the year, for the first year of a school’s operation. Next, we explored the distribution of two traits of schools within this population; in ecological terms, these traits could be considered descriptors of their “niches”. First, we looked at the frequency of schools represented by different grade levels in the most recent year of operation (2017 for currently operating schools, the last year of operation for those no longer operating; n= 1,051 schools). Forty-six different grade ranges were identified in the database (i.e., kindergarten-only schools, K-1 schools, K-2 schools, K-3 schools, etc.). In order to illuminate general patterns, we collapsed the data into the following six mutually exclusive categories: Elementary (K-6, inclusive of smaller subsets); Elementary-Middle (including K-6 or a subset of it, plus 7-8 or a subset of it); Middle- High (including 7-8 plus 9-12 or a subset of it); High (including 9-12 or a subset of it); Multi-Grade (including a subset of K-12 that cuts across Elementary, Middle, and High; e.g., 3-10); and All Grades (K-12). The second niche trait that we considered was the charter school’s mission. We examined the frequency of currently operating schools pursuing different missions (n= 481 schools). For schools initiated since 2013, usually one but occasionally as many as four missions are listed for each school on the Arizona State Board for Charter Schools (2019a) website. For the purposes of this analysis, we chose, with guidance from ACSA staff, the most general mission (e.g., if a school is listed as both ‘College Prep’and ‘International Baccalaureate’, we classified its mission as the former). For schools initiated prior to 2013, only brief narratives of their goals were requested by the ADE, and these are also provided on the Arizona State Board for Charter Schools (2019a) website. We read each narrative and used it to characterize the school using one of the 22 missions listed in Table 1. This was generally straightforward. As an example, one school describes itself as “a high-quality college-prep school that prepares Tucson-area students for success in school, college, and 21st century careers.”Based on this description, we coded it as College Preparatory. Dynamics of the charter school population As a first step in documenting the population dynamics of the ACSS system, we explored four dynamic phenomena: (1) population growth, using the number of schools in operation per year from the inception of the ACSS through 2017; (2) the number of new schools initiated each year; (3) the number of schools that ceased operation each year; and (4) the survivorship curve for the ACSS as a whole. A critical tool in ecology, medicine, and numerous other fields (Liu 2012), survival analysis quantifies average, median, and maximum lifespan. Further, it reveals whether most “newborn”individuals survive to an old age or die at a young age, or if survival is independent of age. It is Mars and Bronstein Journal of Organization Design (2020) 9:17 Page 5 of 18 ideal for quantitatively comparing groups. This method can equally well be used to describe any population, human or otherwise, in which large numbers of individuals are founded and go on to have quantifiable lifespans. In the current study, we applied survival analysis to describe the fates of charter schools initiated from 1996 through 2017. We estimated survival functions with the Kaplan-Meier estimator and log-rank tests, using the ‘survival’package in R (Therneau 2015, R Core Team 2018). Predictability of charter school survival The characteristics of the individuals (i.e., single charter schools) that have been able to survive within the ACSS population have been surprisingly underexplored. Accordingly, we chose to explore the potential of biologically inspired analysis to reveal survivorship patterns across the ACSS. As a first step towards this goal and to further document the value of such patterns, we explore three ‘niche traits’that are likely predictors of school survivorship. First, we used survival analysis to test whether an individual school’s ability to survive within the ACSS population is a function of the identity of its charter holder. A charter school holder is the entity that is accountable to the contract that enables the operation of schools (Arizona State Board for Charter Schools, 2019b). A holder can be a standalone school or a group that oversees a network of schools. Interestingly, public school districts were able to act as charter holders for a majority of the time that the ACSS has been in existence, with a notable increase in the number of such charter holders occurring in 2014. In 2016, however, policy reform was passed that ended this option, under the logic that such arrangements failed to reach the underlying intentions for school choice and market-based increases in school performance (ACSA, pers. comm., November Arizona Charter School Association, 2018). We tested whether the ‘failed experiment’of district-charter conversions could be detected by survival analysis. To do this, we compared two survival curves, one consisting of the 207 charter schools that had public school districts as the charter holder, the other consisting of the 861 schools with other charter holder-types. We tested the hypothesis that the former group would show statistically lower survival. This analysis serves as a proof of concept for the use of survival analysis to illuminate survivorship trends across the ACSS. Second, we examined whether school enrollment at the time of its founding (i.e., the size of individuals within the population, a trait likely to affect survivorship ability of organizations; Hannan and Freeman 1977) predicts its subsequent lifespan, a pattern that has not previously been investigated. For the purposes of this analysis, we divided schools into four categories: Small (below 50 students), Medium-Small (50-100), Medium-Large (101-250), and Large (above 250). We tested for statistical differences in survivorship of the four enrollment size categories using log-rank tests. We then calculated the probability that schools in each enrollment size category would be able to survive for five, 10, and 15 years. Finally, we examined whether grade range predicts a school’s lifespan, another pattern that has not previously been investigated. We used the six grade-range categories defined above for this purpose. We tested for statistical differences in the survival curves of these grade-range categories using log-rank tests. We then calculated the probability that schools in each category would be able to survive for five, 10, and 15 years. Mars and Bronstein Journal of Organization Design (2020) 9:17 Page 6 of 18 Results General charter school population descriptors At the time of founding, AZ charter schools have ranged from 0.25 to 1439.14 students, with an average across schools of 163 students and a median of 75 students (see Fig. 1). As shown in Fig. 2, charter schools most commonly are composed of elementary and middle grades (usually K-8), elementary grades (usually K-6), or high school (usually 9- 12). The most commonly cited of the 22 charter school missions listed in Table 1are College Preparatory, Alternative/At Risk, and Traditional; together, these missions are represented in approximately 65% of currently active charter schools to characterize their missions (see Fig. 3). Dynamics of the charter school population School openings are illustrated in Fig. 4. Evident are two waves of school openings, one peaking around 2000 (the fourth year of the ACSS) and another beginning in 2012. School openings were far more frequent during the first ten years of the ACSS’s existence than they have been subsequently, with the exception of a marked peak in 2014, when the ASBCS converted many district schools to charter schools. School closings are shown in Fig. 5. These have been sporadic throughout the history of the ACSS. There is a marked peak, however, in 2016, when the district schools that had been shifted to charter status in 2014 were returned to district status. Just as in a biological population whose size at any point is set by a balance of births and deaths, population size of the ACSS at any point is set by school openings and closings. As shown in Fig. 6, the total size the charter school population (defined here as number of schools in operation each year) grew rapidly for about its first seven years; Fig. 1 Distribution of Average Daily Attendance at Founding for 1,059 AZ Charter Schools Founded Between 1996 and 2017 Mars and Bronstein Journal of Organization Design (2020) 9:17 Page 7 of 18 since then, it has fluctuated at around 500 active schools per year. Two deviations from this general pattern can be seen: a small decrease in total charter school numbers in 2007-2008, corresponding with the U.S. economic downturn, and a sharp peak and subsequent fall in 2014-2016, corresponding again with the interval (see Figs. 4and 5) in which a large set of district schools were converted to charter schools and then back again. Fig. 2 Grade Level of 1,051 AZ Charter Schools in Their Most Recent Year of Operation Fig. 3 Missions of 481 Currently Active AZ Charter Schools Founded Between 1996 and 2017 Mars and Bronstein Journal of Organization Design (2020) 9:17 Page 8 of 18 dynamic fit and thereby promote survival during the highly volatile early years of existence. Conversely, recognizing which design features are most directly tied to survival can direct designers to other features that may be more conducive to innovation. For instance, AZ charter school entrepreneurs may decide to experiment with innovations relevant to mission rather to enrollment size and grade range. Yet, we also draw attention to how the examination of survival patterns over time across a population can inform system level decisions that create and sustain conditions that are more conducive to innovative design choices at the organization level. Indeed, organizational scientists have begun to pay greater attention to how design choices, and strategic choices more generally, made within organizations both influence and are influenced by the dynamics across shared systems (Sarasvathy et al. 2008; Sinha and Van de Ven 2005). For example, Gavetti et al. (2017), inspired in part by the evolutionary biology concept of niche construction, theorize how, over time, the strategic design choices that organizations make to enhance their competitiveness alter the dynamics of the sectors in which they operate. Consequently, such alterations make the competitive gains enjoyed by individual organizations shorter lived. While such design choices are purposeful at the individual organization level, the shaping of the competitive dynamics at the population level is far less intentional. By being mostly unplanned, the ACSS has provided little to no clear overarching foundation for the school entrepreneurs to strategically design around. Likewise, there are few measures in place to encourage the development of a robust, nested system (see Mars et al. 2012) composed of a wide and varied range of schools. Instead, the entrepreneurs have been left to craft, based on what they know and can control, designs that they believe will have the greatest likelihood of ensuring survival and achieving top performance, i.e., a state of fit (see Donaldson and Joffe 2014). Our findings suggest that without planned structures in place at the system level that evoke innovation, the entrepreneurs have come to rely almost entirely on their own knowledge and backgrounds in education, as well the variables they can reasonably expect to control when making their design choices. In particular, grade ranges are presumptively narrowed to allow for the application of specialized knowledge and precise instructional approaches that directly align with the shared characteristics and learning needs of students within a confined developmental stage (ACSA, pers. comm., November Arizona Charter School Association, 2018). Enrollments are then scaled within this defined space in pursuit of the critical mass needed for survival. In this regard, enrollment numbers grow vertically within a specialized, highly crafted space rather than horizontally across a more diverse terrain. Subsequently, the ACSS has evolved in a largely homogenous way that reflects more of a conventional public school system composed of relatively large schools that conform to conventional grade structures rather than as a disruptive alternative made up of innovative models. Overall, our findings suggest that the school entrepreneurs have pursued fit through design choices that reflect features that are most familiar to them as educators. Consequently, the ACSS as a whole has evolved into an educational system that is more similar to than disruptive of the very public education system it was intended to displace. The aforesaid explanation is consistent with previous studies that show a reciprocal dynamic between systems (and environments) and organizations that involves the former both shaping and being shaped by the latter (Santos and Eisenhardt 2009; Mars and Bronstein Journal of Organization Design (2020) 9:17 Page 15 of 18 Sarasvathy et al. 2008; Weick 1979). It also leads us to argue that identifying natural survival patterns across a population is a promising approach to eliciting more purposeful design choices specific to the population itself. For instance, if diversity of school size and novel grade ranges are desirable traits of the AZ charter school population, the ACSA and/or the ADE should consider ACSS-level design interventions aimed at increasing the survival rates of schools with smaller enrollment sizes and/or wider grade offerings. In this regard, population analysis, when conducted at the preinvention phase according to the fundamentals of biology, can influence more purposeful and impactful design choices at the organization level. Likewise, such analysis can also inform system level policy making in ways that more purposefully foster organization level designs that are conducive to intended outcomes. This recommendation is especially promising for entrepreneurial initiatives in the public sector, such as the ACSS, where progress is often stifled by system-level governance models that are poorly structured and inadequately equipped to foster and support innovation (Cinar et al. 2019; Levine and Wilson 2013; Mergel 2018). Regarding dynamic fit (Nissen 2014; Nissen and Burton 2011), more purposeful interventions at the system level would better equip organization-level designers to more quickly achieve states of stability and establish the nimbleness needed to effectively maneuver along with shifts in external contingencies. The capacity of these designers to make choices that spawn innovation would also be enhanced as system level planning and certainty increased. In particular, the likelihood of organizational failure (or death, in biological terms) due to too much or too little innovation would be reduced as otherwise undetected environmental factors are proactively addressed. Concurrently, overall impact would likely increase with organization-level designers being better equipped to align organizational structures and strategies with system level agendas and evolving conditions and priorities. This synergy between innovative design choices at the organization level and purposeful interventions at the system level is especially important considering the dynamism that characterizes most organizational systems and environments. To our knowledge, we are the first to use population analysis to illustrate the underlying synergy between purposeful design interventions at both the individual and population levels and its influence on both organizational survival and innovation via dynamic fit. The insights we have generated contribute to a growing literature that directly considers the role of intentional policy making at the system level in coordinating and shaping more innovative and impactful designs at the organization level (see, for example, Kedenic 2017; Levitt and Eriksson 2016). We began this paper by underscoring the absence of design in nature, a fundamental limitation to applying biological concepts and principles to organizational phenomena and, more specifically, organization design. We have not abandoned our own cautionary note. Instead, we have shown the promise of initiating design strategies with population ecology analysis in order to reveal otherwise obscure, naturally occurring survivorship patterns over time and across systems. The ecological methods that we have used should be routinely deployed to continually track survivorship patterns over the lifespan of a population. Just as conservation ecologists conduct analysis of populations in nature prior to recommending human interventions to halt declines, so too should organization designers and system planners seek out naturally occurring survivorship patterns prior to making design choices and enacting systemic interventions. Mars and Bronstein Journal of Organization Design (2020) 9:17 Page 16 of 18 Abbreviations ACSA: Arizona Charter School Association; ACSS: Arizona charter school system; ADE: Arizona Department of Education; ASBCS: Arizona State Board for Charter Schools; AZ: Arizona Acknowledgements We are especially grateful to Eric Berschback, Ildiko Laczko-Kerr, and Kelly Powell at the Arizona Charter School Association and Anabel Aportela with the Arizona School Boards Association for their input and general support of our project. We thank the Editor for his enthusiasm for our study and guidance on how to make a better-positioned paper, as well as the anonymous reviewers for their thoughtful comments and insights. The study was internally funded by a Start for Success Grant awarded by The University of Arizona Office of Research, Discovery, and Innovation and a Research Seed Grant awarded by The University of Arizona Center for Insect Science. Authors’contributions Matthew M. Mars and Judith Bronstein contributed equally to this work. The author(s) read and approved the final manuscript. Funding No outside funding was used to support this work. Availability of data and materials We assembled a unique longitudinal dataset that begins in 1996 and that currently extends through 2017. We accessed and compiled the data in partnership with the Arizona Charter School Association (ACSA) and the Arizona Department of Education (ADE). Competing interests We have no competing interests. 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