Closing integrative gaps in complex environmental governance systems

Modern environmental problems pose unique management challenges as they are usually interdependent in myriad, complex ways. Climate change is the ultimate example of a problem that forces environmental managers to confront highly interdependent challenges, such as invasive species, rising temperatures, and habitat loss. Interdependencies abound: for example, the issue of warming winter temperatures exacerbates the issue of invasive species, and a high prevalence of invasive species contributes to the issue of habitat loss. Ideally, stakeholders should account for these issue interdependencies by managing connected issues. Such activities close "integrative gaps," which refer to instances in which interdependent issues are managed independently. By closing integrative gaps, actors align management activities with underlying ecological processes. We focus on climate change adaptation governance in Ohio, USA, as a model study system and evaluate conditions that enable integrative gap closure through analysis of a network of adaptation actors and issues. Our findings show that actors are more likely to close integrative gaps between issue pairs that are highly biophysically interdependent, receive higher collective levels of public attention, and have garnered higher levels of progress. We also find that regional-scoped, specialized, and non-profit actors are most likely to manage for environmental interdependencies. We discuss how these findings advance theoretical understanding of institutional fitness and resilience in social– ecological systems by revealing how actors navigate highly interdependent environmental governance settings.


INTRODUCTION
Individual environmental problems rarely exist in isolation. Ecological dynamics and feedbacks cause individual issues to become interwoven with other issues in complex ways (Lubell 2013, Hedlund et al. 2021. For instance, the spread of an invasive plant across a landscape can be accelerated by warming microclimate temperatures (Willis et al. 2010). The issue of invasive plants might also be facilitated by transportation-related seed dispersal (Taylor et al. 2012). These relationships mean that the issues of invasive species, transportation, and rising temperatures are interconnected. Such linkages exemplify one of the key challenges facing environmental decision makers-stakeholders with a vested interest in improving environmental outcomes are confronted with a constellation of issues and are tasked with managing the interconnections and evolving dynamics between them (McGinnis 2011, Lubell 2013, Bodin and Nohrstedt 2016, Gritsenko 2018, Mewhirter et al. 2018, Dennis and Brondizio 2020. The lack of well-defined definitions and rules, and the nested nature of modern environmental dilemmas qualify them as wicked problems that are uniquely difficult to manage (Rittel and Webber 1973).
Despite the many interdependencies between environmental issues (i.e., the change in one issue affects the outcome in another, or two issues have overlapping management activities; Pham-Truffert et al. 2020, Hedlund et al. 2021), stakeholders do not always address these interdependencies in a holistic manner (Le Blanc 2015, Munsch et al. 2020). In complex governance systems, actors may operate more efficiently when they focus their limited capacity on a subset of interrelated issues because this, for example, can lower the environmental externalities that result from managing problems in a fragmented way. As environmental externalities can cause shocks and perturbations across an entire system, actors who manage for environmental interdependencies -as opposed to those who manage an assortment of random, unrelated issues-improve system-level efficiency by internalizing the costs associated with integrative gap closure (Bergsten et al. 2019). From the standpoint of the entire system, appropriate management responses should ideally cover entire groups of interconnected environmental issues. A stakeholder with an ideal management approach would oversee an entire group of forest patches that are ecologically linked by seed dispersal, or collaborate with the managers of patches linked with their own, instead of managing linked patches independently (Bodin and Tengö 2012). Similarly, an ideal stakeholder would focus their efforts on a set of sustainability issues that are all influenced by each other, creating virtuous cycles of synergistic management (Folke et al. 2005, Pham-Truffert et al. 2020. Inappropriate or non-ideal management responses are those that address an issue without first attending to its potential feedbacks and interconnections. The term "integrative gap" is used in the institutional fitness and environmental governance literatures (Young 2002, Epstein et al. 2015 to describe instances when a stakeholder fails to account for biophysical interdependencies in their management approach (Bergsten et al. 2019). Integrative gaps have implications for how well governing institutions reflect the biophysical system in which they are embedded, a key tenet of institutional and social-ecological fitness , Galaz et al. 2008, Lebel et al. 2013. A great number of integrative gaps across a system may lead to fragmented management practices and ineffective environmental governance systems (Lubell 2013, Bodin 2017, Cejudo and Michel 2017. The closure of integrative gaps is desirable in that it is likely associated with improved sustainability outcomes , Bergsten et al. 2019. Despite the increasingly recognized importance of policy issue integration for improving governance Ecology and Society 27(1): 15 https://www.ecologyandsociety.org/vol27/iss1/art15/ outcomes and efficiencies (Trein et al. 2019, Pham-Truffert et al. 2020), actors do not always close integrative gaps . We aim to understand the reasons why an actor is more or less likely to manage environmental interdependencies by answering the following research question: under what conditions do stakeholders close integrative gaps?
To answer this question, we investigate integrative gaps in the climate change adaptation governance system of Ohio (Midwest USA). Climate change is a prominent example of an issue that is associated with multiple, distinct sub-issues each related to specific adaptation challenges. Each issue poses unique challenges for local environmental managers. In Ohio specifically, managers must adapt to rising temperatures, heightened pest and pathogen pressures, and non-native species invasions, among other issues (Angel et al. 2018).
We operationalize climate change governance in Ohio as a multilevel network that is composed of over 600 stakeholders, 19 climate change adaptation issues, and their interconnections. This network can be categorized as a partially articulated socialecological network , which can also be referred to as a "Type II" network where two of three possible link types are included (Kluger et al. 2020). Social-ecological networks capture complex interdependencies between social and ecological components  and are increasingly turning into an important analytical focus for scholars interested in the study of environmental governance systems and their institutional fitness (Janssen et al. 2006, Treml et al. 2015, Ekstrom and Crona 2017, Bodin 2017, Angst 2019, Bodin et al. 2019, Cinner and Barnes 2019, Hedlund et al. 2021. We test a series of hypotheses about the conditions under which an actor closes integrative gaps. Our results are important in that they extend existing literature on policy issue integration to uncover factors associated with actor-based integrative gap closure, which can improve social-ecological efficiencies and environmental outcomes (Bodin and Nohrstedt 2016, Bergsten et al. 2019, Brandenberger et al. 2021, Hedlund et al. 2021.

THEORY Environmental Interdependencies, Integrative Gaps, and Institutional Fitness
Integrative gaps occur when actors fail to account for environmental interdependencies by working on a topic without paying attention to how it interacts with other topics (e.g., working on water quality without considering how increasingly common extreme weather events can impact said quality; Bergsten et al. 2019). In highly interdependent environmental systems, there are many pairs of connected issues, meaning that there are many possibilities for integrative gaps to occur. This complexity poses important challenges for environmental managers, particularly when environmental outcomes in the social-ecological systems in which they operate are not confined geographically and can trigger cascade effects that impact other systems (Kissinger et al. 2011, Centeno et al. 2015.
Examples of interdependent issue systems abound. In transcontinental aquatic systems, ecological interdependencies exist between the distinct issues of habitat restoration, water flow, and fisheries management (Munsch et al. 2020). In lake governance systems, interdependencies exist between the issues of water pollution and human health. There is also recognition that interdependencies occur across geographical boundaries, such as the linkages between rural and urban environmental issues (Buttel and Flinn 1977). In wildfire-prone regions, such as much of the Western USA, high ecological connectivity facilitates the spread of fire across jurisdictions and can link actors together based on shared wildfire risk . These examples speak to the fact that environmental interdependencies, which occur across spatial and temporal scales, should be a fundamental consideration in an actors' management strategy (Cash et al. 2006, Cumming et al. 2006. At a global level of integrative gap closure, Reyers and Selig (2020) have proposed that future sustainable development goals (SDGs) create targets that emphasize social-ecological feedbacks and interdependencies that occur among the issues of biodiversity, ecosystem services, and sustainable development. They propose that future targets should fundamentally reject the "silo mentality" of separation between sustainability sectors and between scales of management (Griggs et al. 2014, Stafford-Smith et al. 2017, Reyers and Selig 2020. To promote the integrative gap closure of interconnected issues, SDG targets and similar policies themselves should reflect biophysical processes and feedbacks, emphasizing the tight interconnections that exist between issues (Le Blanc 2015, Elder et al. 2016. The holistic management of key relationships between SDGs has been identified as an entry point to replace "vicious cycles" of negative environmental feedbacks with synergistic "virtuous cycles" (Pham-Truffert et al. 2020).
In environmental governance contexts with many interdependent issues, the dynamics and feedbacks of an entire social-ecological system are greater than the sum of its parts. This means that complexity is derived from the relationships between issues and not merely because there are many issues (Levin 1999). In the same sense, the concept of ecosystem-based management has gained support over the past few decades and includes management approaches that consider entire systems and not separate components or sectors (Leslie andMcLeod 2007, Levin et al. 2009). It is therefore counterproductive for managers to approach singular environmental issues without first attending to the roles they play in other domains. This is the challenge for environmental stakeholders: the high degree of complexity in navigating environmental interdependencies makes sustainable management an inherently difficult feat.
The coherence between actors' management approaches and patterns of ecosystem dynamics indicates how well an environmental governance system "fits" the ecological system in which it is embedded (Young 2002). Accordingly, a high prevalence of integrative gaps suggests poor institutional fitness (Lebel et al. 2013, Bergsten et al. 2019. Conceptually, the fitness of institutions is analogous to the fitness of organisms: the most "fit" organisms and institutions are those that are best adapted to their environmental setting. In governance systems, adverse environmental outcomes occur when actors fail to match their management approaches to the underlying realities of the social-ecological systems in which they operate (Epstein et al. 2015), similar to how a plant species that is poorly adapted to local weather conditions will eventually be outcompeted by another species, with implications for the overall ecosystem. https://www.ecologyandsociety.org/vol27/iss1/art15/ Integrative gap closure improves institutional fitness because actors who manage interrelated issues are better able to holistically account for system feedbacks. Highly interconnected ecological systems can both facilitate the spread of disturbances and recovery across a landscape (Dakos et al. 2015), meaning that actors who close integrative gaps can oversee-and thus manage for-fundamental ecological processes. These biophysical interconnections are otherwise more difficult to observe and account for when approaching an issue in isolation (Armitage et al. 2009). Actors who extend their resources to manage multiple interconnected issues can improve their understanding of environmental interdependencies and use their newfound knowledge to guide their individual management decisions; an accumulation of enhanced management strategies across many actors can ultimately improve overall system governance.
Systems where actors largely fail to account for biophysical interdependencies in their management approaches (i.e., systems with a high prevalence of integrative gaps) could more easily be pushed past "tipping points" into undesirable, irreversible pathways toward degraded states (Galaz et al. 2008). Consequently, integrative gaps contribute to a decline in system resilience and an increase in vulnerability. We argue that integrative gaps are indicative of faulty management approaches because they represent a failure to account for the interdependencies of ecological processes. In a case study of agricultural systems in Australia, ecologically uninformed policies have led to a loss of social-ecological resilience and increased vulnerability ). Furthermore, one study found the largest contributor to institutional misfit in an estuary system was the lack of reflection of ecosystem relationships in policy documents (e.g., the co-occurrence of ecosystem components in the same sentence, paragraph, or unit of text of a policy document), emphasizing the need for ecologically informed management to improve system resilience (Ekstrom and Young 2009).
To establish the importance of being fit, we must first unpack how fitness shapes environmental outcomes, although there are few studies that do so (Bodin et al. 2019, Wang et al. 2021. There is no clear-cut, simple relationship between network structure and ecological outcomes or resilience (Janssen et al. 2006). However, the general assumption is that fit institutions lead to improved conservation success through enhanced management (Borowski et al. 2008, Guerrero et al. 2015, Ingold et al. 2018). This notion has been supported in an agricultural system case study ) and in Kenyan coral reef communities, where good social-ecological alignment was associated with improved reef ecosystem conditions . Good fitness does not necessarily improve environmental outcomes, however: an empirical case of strong spatial fitness did not encourage effective drinking water regulations in the Rhine River catchment (Ingold et al. 2018). In the transcontinental aquatic system example, the simultaneous management of fisheries, water flow, and habitat restoration was found to benefit diadromous fish species like Pacific salmon (Oncorhynchus spp.) that migrate between rivers and oceans (Munsch et al. 2020). The closure of an integrative gap in this system, for instance, might occur when an actor utilizes water discharge and habitat quality data to decide the environmentally optimal location to open a new fishery.

Understanding When Integrative Gaps Are Closed
Given the importance of well-aligned social-ecological systems for sustainable governance arrangements (Bodin 2017), we devise a series of hypotheses that investigate the conditions and attributes that could enable an actor to close integrative gaps. We argue that the conditions associated with integrative gap closure can be leveraged to improve social-ecological fitness and thereby foster system sustainability. We study integrative gap closure at the level of the actor, not the system, although the closure of integrative gaps is efficient both for individual actors who have limited resources and for entire governance systems when individual actors internalize the externalities stemming from between-issue dynamics ). An integrative gap ( Fig. 1A) is closed when an actor manages both of a pair of related issues (Fig. 1B), requiring both potential social-ecological edges to be fulfilled. We test for the conditions and attributes that lead actors to form social-ecological edges that close integrative gaps.

Fig. 1. A visualization of integrative misfit (A) and integrative
fit (B) depending on the absence (dashed lines) or presence (solid lines) of a tie between an actor (red circle) and two biophysically related issues (green circles), regardless of the direction of the relationship between the two issues.
Not all pairs of issues are made equally: instead, they vary in strength and importance based on several factors. What this means for stakeholders is that some pairs of interrelated issues are more essential to manage than others, or that they require more immediate attention. Actors should ideally choose to work on issues that are the most closely related to the other issues they work on, creating efficient "virtuous cycles" that prioritize synergies (Elder et al. 2016, Pham-Truffert et al. 2020. For example, an actor who manages water quality should also manage the issue of soil erosion, as the latter can increase turbidity-often directly associated with water pollution (Lal and Stewart 1994). In this example, an actor can synergistically manage both soil erosion and water quality with a single action, such as a stream bank stabilization project. On the other hand, an actor who manages water quality and air quality simultaneously would be closing a less important integrative gap because, although water quality and air quality indeed are interrelated (e.g., via carbon dioxide emissions that indirectly stimulate algal biomass growth; Chen et al. 2019), this interrelation is more subtle compared with others. As actors possess limited resources and therefore cannot necessarily manage a great number of issues (Zhu 1992, McCann 2013, efficient social-ecological alignment requires actors to prioritize integrative gap closure for closely interconnected issues, and so we should expect to see fewer efforts to jointly work on loosely related issues. Accordingly, our first hypothesis is related to the closure of integrative gaps based on the strength of ecological interdependencies. https://www.ecologyandsociety.org/vol27/iss1/art15/ H 1 : Actors are more likely to close integrative gaps for pairs of topics that are more strongly interdependent.

Issue attributes
Beyond the strength of interconnections between issues, an actor's propensity to close integrative gaps may be impacted by certain relevant attributes of the issues themselves. One prominent attribute of issues that we believe to explain integrative gap closure tendencies is public attention. Certainly, some issues receive more public attention than others, such as media attention (Angst 2019). Select issues may demand the public's attention, including the attention of key actors (Kingdon 1984, Berardo et al. 2015. Stakeholders may be more likely to recognize high-attention issues as more important to manage (Wlezien 2005), which could be a precursor for integrative gaps to be closed for high-attention issues. We expect the connections between popular issues are themselves more publicly known and therefore more popular, such as the interdependency between water quality and human health that receives high levels of attention during toxic algal bloom events. We similarly expect that because popular issues are connected to each other via popular interdependencies, they are management priorities for environmental stakeholders. Accordingly, we propose H 2 : H 2 : Actors are more likely to close integrative gaps between issues for which there are higher levels of public attention.
Additionally, we posit that integrative gap closure is associated with higher levels of progress made on resolving issues. We define progress as the amount of headway made on resolving or adapting to an issue, which we gauge based on a series of interviews with experts who indicated their perception of issue progress. We use perceived issue progress as a proxy measurement for environmental outcomes and expect that integrative gap closure leads to high levels of progress (Lubell et al. 2017a). This is because social-ecological alignment is generally assumed to lead to conservation success ). Social-ecological alignment might mean that environmental managers are wellpositioned to manage ecological connectivity in ways that prevent non-native species invasions (Lubell et al. 2017a) or enable essential species dispersal between habitat patches (Bodin andTengö 2012, Bergsten et al. 2014). In testing for an association between integrative gap closure and issue progress, we must also recognize the possibility that high levels of progress could make integrative gap closure more likely. For instance, issue pairs with high progress levels likely have higher levels of scientific certainty, which in turn should reduce the transaction costs that actors bear when managing for uncertain and complex ecological interdependencies (Lubell et al. 2017b). Our expectation is that integrative gap closure leads to higher levels of issue progress and improved environmental outcomes, and therefore propose H 3 .
H 3 : There is a higher level of progress solving issues for which fewer integrative gaps exist.

Actor Attributes
We expect that the ability of actors to work on multiple issues (and therefore be able to close integrative gaps) varies with an actor's organizational type and organizational scope. To manage a single issue (i.e., work on projects, programs, and advocacy), an actor must expend resources such as time, money, and human capital (Zhu 1992). Then, to manage multiple issues, or a great number of issues, actors must spend an even greater sum of resources. We predict that because different types of organizations (e.g., NGOs, governmental agencies, universities, etc.) are differentially equipped with resources, organizational type plays a key role in actor-issue engagement, and therefore in integrative gap closure. Government actors are heavily solicited as collaborative partners in management efforts because they often occupy the role of a broker-government actors use their financial, human, and political resources to connect otherwise unconnected actors, leading to the exchange of non-redundant resources (Berardo 2009, Henry 2011. Furthermore, government actors tend to have more experience, authority, and resources, and participate in decision-making forums more often than other types of actors (Leifeld and Schneider 2012, Lubell et al. 2014, Lubell at al. 2017b. Beyond these factors, government actors are often mandated or are implicitly expected to perform functions that protect the public good (i.e., social contract theory; Locke 1965, Rosseau 1973, O'Brien et al. 2009), which can potentially be completed through integrative gap closure. We expect that these advantages and responsibilities of government actors position them to better manage for environmental interdependencies than non-government actors.
H 4 : Government actors are more likely to close integrative gaps compared with non-government actors.
Furthermore, the ability for an actor to overcome the transaction costs associated with working on multiple issues may be a challenge for small-scale stakeholders because they would need to spend major resources to gain technical, social, and political capital for the management of each issue (Angst 2019). As such, an actor's geographic scope (e.g., local, regional, state) may dictate whether it should specialize on a single issue or a subset of interrelated issues. In addition to impacting the issues an actor engages in, geographic scope impacts the forums that an actor participates in. Actors are less likely to participate in forums that do not match their own organizational level (Hamilton et al. 2018). Geographic scope is an important consideration in matching management to ecosystem dynamics at different spatial scales: social-ecological mismatches can occur in cases when social actors responsible for managing some part of the environment operate at a geographic scale inconsistent with the scale of environmental processes (Cumming et al. 2006). Because there often are spatial incongruencies between patterns of ecosystem services and the policies meant to sustain them (Bergsten et al. 2014, Qiu et al. 2017, the scope of organizations involved in the governance of biophysical issues plays an essential role in social-ecological alignment. We posit that actors who operate at wider geographic scales are better able to account for jurisdiction-crossing issue interdependencies and resultingly are more likely to manage for them. Therefore, we propose one final hypothesis related to geographic scope: H 5 : The greater an actor's geographic scope, the greater the likelihood that it will close integrative gaps.

METHODS
To test our hypotheses, we collected data on a social-ecological system where several stakeholders manage a subset of climate change issues, closing some, but not all, integrative gaps. Our social-ecological network included 19 climate change-related adaptation issues relevant to Ohio, the actors who work on these Fig. 2. A drawing of a social-ecological system consisting of interdependent climate change issues and four actors. The green arrows represent issue interdependencies that occur across the landscape, which are directed and weighted. The blue lines indicate the issues that the actor manages. Integrative gaps occur when actors manage only one issue of a related pair of issues.
issues, and the relationships that occur between them. Socialecological network studies emphasize the relationships between two sets of system components (social and ecological) rather than just social-social ties or ecological-ecological ties (Bodin et al. 2019). In the social-ecological network, we focus on the ties between issues and the ties between actors and issues (typically referred to as affiliation ties). We use issue interdependencies as edge covariates to explain social-ecological edge formation.

Issue Interdependency Network
The issues in our two-mode network are themselves intertwined and we aim to explore these interrelationships. We first identified the issues as described in the U.S. Global Climate Research Program's (USGCRP) Fourth National Climate Assessment (FNCA), which is a comprehensive report that provides the state of the science on climate change in the USA. Because climate change affects regions in unique ways, some effects are heightened in various locations (Roesch-McNally et al. 2020). To make regional climate change effects more salient for local stakeholders, the USGCRP provides regional summary reports of the FNCA and includes key messages that describe the most pressing issues for each region (Angel et al. 2018). A diverse array of participants and voices contributed to each regional FNCA chapter, meaning that each chapter identifies problems from a multidisciplinary perspective (Roesch-McNally et al. 2020). The Midwest chapter, which we use in this analysis, outlines six key messages that are important from an adaptation standpoint in the region. These key messages focus on agriculture, forestry, biodiversity and ecosystems, human health, transportation and infrastructure, and community vulnerability. In May of 2019, each of this paper's authors read through the key messages to identify specific collective action problems, then met to reconcile differences in individual lists, resulting in a total of 19 specific adaptation issues relevant in Ohio, shown in Table 1. These adaptation issues are the ecological nodes in the network.
A classic use of ecological networks has been to set habitat patches, specific locations, or ecosystem types as ecological nodes ). Pittman and Armitage (2017), for instance, use types of habitat as ecological nodes, including seagrass and reef habitat, to investigate social-ecological fitness across a landsea interface. Alternative types of ecological nodes have been used by some authors, including sustainability issues like "human- Water pollution abatement and clean-up wildlife conflict," "food access," and "agricultural expansion" (Bergsten et al. 2019). Specific ecosystem services have been used as ecological nodes as well (Alonso Roldán et al. 2015).
We then measured connections among the 19 issues based on their approximated biophysical relationships according to the opinions of 57 experts who we interviewed for this project. From May to August 2020, we conducted a series of semi-structured interviews with local experts to understand how each issue affects and is affected by every other issue, generating a score and description for every possible issue-issue pair. Interviewees were told to identify relationships between issues that existed at the time of the interview. We identified experts for each of the 19 issues through online searches and interviewed three experts for each issue. For example, a water quality expert answered questions about how water quality affects all other issues, and how all other issues affect water quality. Each interview produced a cognitive map of issue-issue relationships, and we combined all 57 cognitive maps to construct the issue interdependency network. The issue network thus captures the interdependencies between issues as assessed by the experts, thereby synthesizing multiple (academic and non-academic) forms of knowledge (Dray et al. 2007, Jones et al. 2011, Pittman and Armitage 2017. We interviewed relevant faculty members from local universities in addition to field technicians who work in Ohio. Of the 57 experts who were interviewed, 18 were faculty members from universities, 20 were scientists from government departments, and 19 were scientists from NGOs and other organizations. Table 2 shows three issue pairs and their bidirectional connections, scores, and descriptions; the pairs included in the table were specifically chosen to demonstrate variability in issue interdependencies. Scores range from 0 (no interdependency) to 1 (strongest interdependency). The strength for each directed edge (X ij ) is the average of six expert responses, three experts from each topic (i and j). Then, we took the average of the directed edge weights (X ij and X ji ) to produce undirected edge weight scores for each issue-issue dyad. For example, the undirected edge weight for the interdependency between "Air Quality" and "Forests" is 0.575, the mean of 0.50 (impact of "Air Quality" on "Forests") and 0.65 (impact of "Forests" on "Air Quality" see Table 2).
To assess the level of public attention that each issue commanded (information needed to test H 2 ), we used "Google Trends," which provides the relative popularity of unique search terms during a controllable time range and location. We obtained the relative search popularity in Ohio for each of the 19 climate adaptation issues for each week from October of 2016 to November of 2019, then averaged these scores to produce a single public attention score for each issue. To obtain perceived progress scores, we asked the same experts to indicate their agreement (along a five-point Likert scale) with the following statement: "Over the past 50 years, there has been a significant amount of progress made toward addressing this issue." Response scores were averaged for each issue, producing a perceived progress score for every issue, which we use to test H 3 .

Actor-Issue Linkages
The social nodes in our analysis are organizations involved in management efforts in Ohio of at least one of the 19 issues we identified. From June through August of 2019, we identified organizations using an internet-based snowball approach (Hileman and Lubell 2018). We started by identifying a group of seed actors who work on climate adaptation in Ohio, which included several large environmental organizations near our home institution, the Ohio State University. Then, we conducted a hyperlink analysis from seed actor websites to identify the organizations with whom they work on climate change adaptation activities; these additional actors were often listed as partners.
The snowball process was repeated until no new actors were revealed, resulting in a network of 659 actors. We coded several organizational attributes for each actor, including organization type (e.g., NGO, state government) and organization scope (e.g., local, sub-state regional, state, national). We measured actor-issue linkages based on the information displayed on organizations' websites; most common were strategic plans, project descriptions, or annual reports. Specific activities listed on individual actor websites were used to substantiate actor-issue linkages. For instance, a mention that the organization is active in promoting the use of rain barrels would create a tie linking the actor to the issue "green infrastructure." Table 1 displays a list of adaptation activities that are associated with each adaptation issue.

Bipartite Exponential Random Graph Models
To test our hypotheses, we use bipartite exponential random graph models (ERGMs), which are statistical models used to determine whether theoretically important network configurations appear more or less frequently in an empirical network relative to what would be expected by chance-i.e., using distributions of configuration counts from a large number of randomly generated networks with similar characteristics as the empirical network (Robins et al. 2007, Lusher et al. 2013. Specifically, provided a set of parameters that represent theoretically important configurations as well as control parameters, ERGMs iteratively refine parameter estimates using Markov chain Monte Carlo simulation to approximate the characteristics of the empirical network (i.e., the network observed through the data collection process). For each parameter included in an ERGM, the model generates an estimate and a standard error. Estimates that are significantly greater (less) than zero indicate that characteristics associated with the parameters are over-(under-) represented in the empirical network. It is common to start with simple models, then refine them in additional models by continually adding new parameters that represent additional processes believed to contribute to the structure of the empirical network (Robins et al. 2011).
To estimate our models, we employ the package "ERGM"  in R (R Core Team 2020) and construct four models that successively build from each other. We test the propensity for actors to close integrative gaps for pairs of issues that are strongly biophysically interconnected (H 1 ) using issue interconnection scores as an edge covariate. We include additional edge covariate terms that test for integrative gap closure tendencies based on public attention to the issues and perceived progress made on them (H 2 and H 3 ). To test H 4 and H 5 , we use two different effects, including: (1) baseline issue engagement (nodefactor) and (2) integrative gap closure likelihood (edgecov) for each actor type and scope level, where Federal Government and National are used as reference categories, respectively. Figure  3 displays the network configurations for each of the hypotheses. We differentiate issue engagement from integrative gap closure, where issue engagement is interpreted as the propensity for a given actor to work on a given issue, whereas integrative gap closure is the likelihood that an actor closes an integrative gap.
Finally, we include several endogenous parameters that test network tendencies for social-ecological edge formation (edges) and actor-level degree distribution (the number of issues a given actor works on; gwb1deg), which are explained in greater detail in Appendix 1. We also include baseline tendencies for actors engaging in issues based on attention and progress as exogenous control parameters.
The first model shows baseline results, and additional models add parameters that test hypotheses related to integrative gap closure. We include actor type and scope parameters in their own models because collinearity problems cause the model to not converge when they are included together. There were consistent parameter estimates and standard errors for the terms that were used in multiple models, indicating the robustness of our findings. Appendix 2 includes a table that displays the R code and data source for each of the "ERGM-terms" in the models. Goodness of fit diagnostics revealed that the models were well-fit to the data (Appendix 3). Table 3 presents the parameter estimates and standard errors for the four bipartite ERGMs. The first hypothesis, which expects that actors close integrative gaps for pairs of issues that are closely interdependent, was supported by the positive and significant parameter estimate for the integrative gap closure term. Likewise, there were positive and significant parameter estimates for the public attention integrative gap closure terms, signifying that actors are more likely to close integrative gaps for pairs of issues that receive high levels of public attention. This finding provides support for H 2 . We also find support for H 3 because the issue progress effect indicates that actors tend to close integrative gaps for pairs of issues with high progress. The parameter estimates for the public attention and issue progress terms are based on edge covariate matrices that also account for issue interdependency strengths from H 1 , so they should be interpreted as the added effect (i.e., the bonus likelihood of integrative gap closure) for public attention and issue progress, respectively. Additionally, the results indicate that actors were more likely to engage in issues that receive more public attention and less likely to engage in issues that have high levels of progress, indicated by the positive and negative parameter estimates for the issue attention -engagement and issue progress -engagement control terms (Table 3).

RESULTS
We did not find support for H 4 , as government actors were no more likely to close integrative gaps than other types of actors. We expected State Government actors to be among the most likely actor types to close integrative gaps, and our results show the opposite. However, Special District actors-which are indeed a type of government actor, and mostly include Soil and Water Conservation Districts and Storm Water Management Districts -were the most likely to close integrative gaps. The Special District actors closed integrative gaps at high rates despite engaging in fewer issues, suggesting that they specialize on subsets of highly interdependent issues. Thus, the distinction between government and non-government organizations does not explain integrative gap closure; instead, the results show that specialized actors (except for industry actors) tend to close integrative gaps.
Furthermore, we found that the likelihood of integrative gap closure increased with actor geographic scope but only up to the regional level; state-level actors were not more likely to close gaps than federal-level actors (the reference category). Therefore, we reject H 5 because integrative gap closure does not increase linearly with scope. We discuss the practical and theoretical implications of our results in the following section.

DISCUSSION
We modeled a climate change adaptation network to test expectations about the factors that lead actors to manage for environmental interdependencies, which is a critical task in achieving effective environmental governance. To understand why some interdependencies are targeted for management more than others, we must first recognize that it is unrealistic for actors to manage all interdependencies in dynamic, evolving, and complex systems (Galaz et al. 2008, Imperial et al. 2016, especially because they have limited resources, environmental knowledge, and organizational capacity (McCann 2013).
The results from our models indicate that actors are more likely to manage for environmental interdependencies that are strongly connected, receive more public attention, and have had more progress made on them. We also found that integrative gap closure likelihood varies with actor type and geographical scope of operation. The attributes that we tested begin to explain why some environmental interdependencies are managed more than others, with crucial implications linking environmental governance structure and outcomes. Throughout the rest of this section, we discuss plausible explanations and implications for each of the conditions that impact integrative gap closure.

Closing Integrative Gaps
In this study, we are interested in examining how issue interdependencies are managed by single actors or organizations. We do not consider formal collaborative processes as a form of integrative gap closure, although we acknowledge that there is an extensive body of work that does (see, for instance, Guerrero et al. 2015, Bodin and Nohrstedt 2016, Bodin 2017, Tosun and Lang 2017, Widmer et al. 2019, Hedlund et al. 2021). Our approach rests on the assumption that an important step of successful environmental management is for individual actors to understand the complex interconnections that exist among the myriad issues that deserve attention. Without this awareness, institutional fitness is likely to be lower, which would lead to the exacerbation of environmental problems , Bergsten et al. 2019, Angst 2019).
Our findings show that actors tend to close integrative gaps for pairs of issues that are more closely interdependent. This suggests that climate adaptation actors in Ohio recognize important biophysical processes and manage for them, improving system- Table 3. ERGM results from the four models. The "Integrative Gap Closure -Edge Weight" parameter is not included in the Actor Type and Actor Scope models because it is collinear with the integrative gap closure parameters for actor type and actor scope. "Federal Government" and "National" are used as reference categories for actor type and actor scope, respectively. The control parameter "gwb1deg" measures the distribution of the number of issues that actors address, and specifically the tendency for actors to each work on approximately the same number of issues (see Appendix 1 for more details). *** p < 0.001, ** p < 0.01, * p < 0.05.   -5988.21 -5741.93 -5705.91 -5710.80 wide institutional fitness and adaptive capacity through the creation of "virtuous cycles" (Pham-Truffert et al. 2020). Our findings suggest that actors can craft their portfolio of issues to manage for crucial interdependencies, a desirable feature in social-ecological systems that are highly dynamic (Elder et al. 2016. The ability of actors to focus on the most important interdependencies speaks to efficient social-ecological alignment because of the resource limitations and transaction costs actors face when working on many issues (Zhu 1992, McCann 2013. From a practitioner's standpoint, we believe these results should be seen with optimism, as they suggest that there is a good amount of integration between climate adaptation initiatives in Ohio and the issues emphasized in the FNCA report. Because we collected issue interconnection data based on expert responses, it is also encouraging that actors tended to close integrative gaps for the pairs of issues that experts indicated were closely interdependent. In other words, actor-issue linkages across the network tended to reflect the expert-elicited cognitive map of issue interconnections.

Category
According to our results, actors tend to close integrative gaps for pairs of issues that collectively receive high levels of public attention. We suspect that the interdependency between two high-attention issues would receive high attention itself. For example, two issues that garner high levels of public attention are transportation and air quality, which are interdependent because transportation-related emissions release many pollutants into the air. Because the public is comparatively highly attentive to both issues in this relationship, it would follow that the interdependencies between them are also well known or are at least well known to environmental managers and therefore demand their attention and subsequent action (Berardo et al. 2015). Our findings on integrative gap closure based on public attention match those of Brandenberger et al. (2021), who found that policy issue popularity was a key factor in an actor's involvement in multiple issues in the same issue subsystem.
We also explored the association between integrative gap closure and perceived issue progress to better understand the connection between social-ecological alignment and environmental outcomes. Because our data are cross-sectional, we are unable to establish causality, and consequently there are two plausible interpretations for the relationship between perceived issue progress and integrative gap closure. One interpretation is that high levels of progress improve the likelihood of integrative gap closure. There are likely more potential partners and better Ecology and Society 27(1): 15 https://www.ecologyandsociety.org/vol27/iss1/art15/ resource-sharing opportunities (e.g., policy forums) for pairs of issues with high collective progress, lowering the transaction costs associated with integrative gap closure (Lubell et al. 2017b). The second interpretation is that the closure of integrative gaps leads to improvements in governance outcomes, which translates into high levels of reported progress made on these issues. This version is far more interesting because it has major implications for environmental governance and sustainability outcomes. To make this interpretation, we are required to use perceived issue progress as a proxy measurement of environmental outcomes, equating high issue progress with positive environmental gains. In this interpretation, our model results provide evidence of the benefits of good social-ecological alignment on conservation outcomes, substantiating a growing literature of work to correlate socialecological fit to improved environmental outcomes (Bergsten et al. 2014, Lubell et al. 2017a. Future work can utilize longitudinal data to better understand the ways in which closed integrative gaps lead to changes in environmental conditions. Integrative gap closure likelihood varied with organization type and scope, although not in the ways we expected. From our results, we learn that certain types of actors are more likely than others to close integrative gaps and thereby contribute more to institutional fitness, based on the difference between the number of issues an actor works on (issue engagement) and the number of integrative gaps the actor closes. Put differently, certain actor types more efficiently devote their resources toward the management of environmental interdependencies and contribute more to institutional fitness, perhaps based on their freedom in choosing issues to manage. Ultimately, our model results point to an important conclusion on the effects of actor type on integrative gap closure: specialized and non-industry actors outperformed non-specialized actors.
Specialized and non-industry actors are organizations that focus on few issues and are not primarily profit-driven enterprises. This categorization includes Special Districts, NGOs, Coalition Groups, and Local Government actors. As these actors are either interest groups (NGOs and Coalition Groups) or small-scale government bodies (Special Districts and Local Government), they are each motivated to protect the public good and therefore should be inclined to close integrative gaps (O'Brien et al. 2009). In particular, because Special Districts and Local Government actors tend to have high levels of experience, authority, and resources, it is possible these advantages facilitated their contribution to social-ecological alignment Schneider 2012, Lubell et al. 2017b). Additionally, knowledge advantages could play a role in actor-type differences in integrative gap closure. Specialized and non-industry actors could have greater technical information about fundamental ecological pathways than other actors. Also, different types of actors could have differential freedoms in choosing issues to work on-actors with less freedom to choose issues may be less likely to close integrative gaps. We expect that freedom in choosing issues varies with actor typefor example, certain laws or statutes might restrict government agencies to managing just one main issue. Future studies could test other actor attributes, such as resource capacity (Emerson et al. 2012), perceptions of responsibility in protecting the public good (O'Brien et al. 2009), relative experience (Lubell et al. 2017b), or leadership skills (Olsson et al. 2007, Emerson et al. 2012. However, we emphasize that specialized and non-industry actors tend to improve institutional fitness by closing integrative gaps. The geographic scope at which organizations operate also plays a major role in integrative gap closure. Notably, regional actors closed integrative gaps at the highest rate compared with the baseline comparison category of national-level organizations, despite working on the fewest number of issues. This means that the regional level could operate as a "goldilocks" position in which management actions could be particularly effective. Unlike local actors, regional stakeholders are better positioned to observe and act on ecological processes whose scales exceed the merely local levels of municipal jurisdictions, which might give them the chance to reduce scale mismatches (Cumming et al. 2006). In such cases, regional stakeholders may be better equipped to reduce the high transaction costs associated with obtaining key scientific information, searching for collaborative partners, or resolving jurisdictional disputes-all of which may be difficult for city government departments or local NGOs (McCann 2013). In regional climate change adaptation governance, where conditions vary with location, our findings suggest the importance of regional actors in managing important contextual ecological feedbacks (Morrison 2007, Termeer et al. 2011, Bergsten et al. 2014).
Local and county actors also closed integrative gaps at a greater rate than national-level actors while working on comparatively few issues. Considered holistically with the finding discussed in the previous paragraph, this result suggests that management actions that are limited in scope (i.e., bottom-up) can play an important role in adaptation to climate change and may in fact lead to enhanced institutional fitness, adaptive capacity, and the mitigation of environmental risk (Ostrom 2005, Guerrero et al. 2015, Carlisle and Gruby 2019.

CONCLUSION
In this paper, we aimed to understand when and why actors bridge integrative gaps, which are inefficiencies that occur in the absence of joint management of interdependent environmental issues. To this end, we performed analyses on a climate change adaptation network and uncovered several key attributes of actors and issues that are associated with improved social-ecological fitness, likely leading to improved environmental outcomes. We argue that at their core, integrative gaps indicate poor management practices that lead to fragmented governance systems, and that the closure of integrative gaps promotes positive environmental outcomes. Our results show that actors are more likely to close integrative gaps when pairs of issues are strongly interdependent, receive high levels of public attention, and have had more progress made on them, and that this likelihood is especially high for regional-scale, specialized, non-industry actors. Policy makers, practitioners, and stakeholders alike should prioritize management initiatives that operate under these conditions associated with closing integrative gaps. In cases where actors have less freedom to choose issues to manage, collaboration can be used as an alternative strategy to address issue interdependencies, where management is integrated through cooperation of actors from different sectors (Bodin and Nohrstedt 2016, Tosun and Lang 2017, Widmer et al. 2019. Actors may have greater freedom to choose their partners than to choose the issues they manage. Also, integrative misfit can be https://www.ecologyandsociety.org/vol27/iss1/art15/ identified in order to pinpoint areas where management capacity could be strengthened to improve joint consideration for social and ecological concerns (Sayles and Baggio 2017). The practical contribution of this paper is to discover conditions that improve institutional fitness, adding to the ongoing discussion of how to improve environmental conditions in complex governance systems. Our findings suggest that to achieve more effective environmental governance, individual practitioners should reflect on whether their management activities account for environmental interdependencies.
Our findings provide empirical evidence supporting the theorized relationship between strong social-ecological fitness and positive environmental outcomes. In documenting the relationship between integrative gap closure and high levels of issue progress, our results bolster the argument that integrative gap closure leads to positive environmental outcomes. Separately, our study complements prior work that uses mental models of experts as a source of information on patterns of connectivity within environmental networks (Özesmi andÖzesmi 2003, Hedlund et al. 2021). In our case, experts described the broad range of biophysical, ecological, or social processes by which many distinct environmental issues affect one another.
There are some limitations from our data collection approach that should be acknowledged. The first limitation arises from the webbased actor identification process because it inherently omits actors that lack websites, likely underestimating the number of small-scale actors in the network. Future research could utilize annual reports found on actor webpages as evidence of an actor's financial capital, because financial resources could impact integrative gap closure likelihood. A second limitation arises because we assumed that the issue interdependency network applies uniformly across the state. We likely overemphasized the importance of certain issue interdependencies in some regions. For instance, the interdependency between "nutrients" and "water quality" is especially important in northwestern Ohio, which is dominated by agriculture, and less relevant to southeastern Ohio, which is mostly forested. To this end, a direction for future research could be to systematically map issues to specific locations, then use this map as a backdrop from which to measure location-based social-ecological fitness.
Although it is important for researchers to continue to identify leverage points for improving institutional fitness, understanding when integrative gaps are closed is just a first step toward improving environmental management and governance across multiple contexts. Future research efforts would benefit from working closely with communities to develop research questions and goals that both advance theory and have practical use for practitioners, especially in the context of a rapidly changing climate (Bergsten and Zetterberg 2013, Baker et al. 2020, Jasny et al. 2021. Similarly, future research should address the qualitative aspects of gap closure and social-ecological fit. Although it is certainly worthwhile to use network analyses to draw inferences about social-ecological alignment, it is critical to understand the perspectives of practitioners as they make decisions that are more or less "fit." Responses to this article can be read online at: https://www.ecologyandsociety.org/issues/responses. php/12996

Acknowledgments:
First and foremost, we would like to thank each of the experts who were interviewed for this project, as they contributed massively to our data set. Additionally, we thank the reviewers for this manuscript who thoughtfully offered constructive comments that have made the manuscript more well rounded. Finally, we thank Rachel Rutan, an undergraduate student in the School of Environmental and Natural Resources at Ohio State University, for her data collection work.

Data Availability:
The data and code that support the findings of this study are openly available in figshare at https://doi.