Open Access Transformation in Scholarly Publishing

• Open access transformation is the systemic shift from subscription-based models to platforms that enable immediate, universal research dissemination.
• Quantitative metrics like the OA legacy ratio reveal significant divergence in adoption rates, correlating with national innovation and governance indices.
• Game-theoretic models and economic analyses illustrate that policy thresholds and market forces are critical in shaping OA adoption and evolving scholarly practices.

Open access transformation refers to the systemic and progressive restructuring of scholarly publishing from closed, subscription-based models to those centered on immediate, universal accessibility and open science principles. This transformation encompasses technological, economic, cultural, and policy realignments, manifested in both the emergence of novel publishing platforms with accelerated review and broad dissemination, and the renegotiation of established incumbents' business models. The empirical literature details regional and institutional divergence, social and innovation correlates, as well as the emergence of parallel publishing cultures, revealing open access not merely as a technical upgrade but as a driver of evolving scholarly practice and research governance (Kopitar et al., 2024).

1. Structural Metrics and the Empirical Characterization of Transformation

Central to quantifying open access transformation is the adoption of transparent ratios delineating the balance between emergent open access (OA) venues and legacy publishing. Let $N_{\text{MDPI}}$ be the annual publication count in high-growth OA platforms (specifically MDPI as a proxy for new, low-APC, fast-turnaround OA models), and $N_{\text{Big Five}}$ the output in legacy publishers (Springer Nature, Wiley, Elsevier, Taylor & Francis, Sage). The open-access–legacy ratio,

$$\rho = \frac{N_{\text{MDPI}}}{N_{\text{MDPI}} + N_{\text{Big Five}}}$$

is used to track the shift in publication strategies at the institutional and national levels (Kopitar et al., 2024). Distribution of $\rho$ across European universities and countries reveals a bimodal pattern, fitted using a two-Gaussian mixture:

$$P(x) = \omega\,N(x | \mu_1, \sigma_1) + (1-\omega)\,N(x | \mu_2, \sigma_2)$$

where the $\mu_1$ and $\mu_2$ centers (means) mark "MDPI-light" and "MDPI-heavy" publication clusters, and $\omega$ is the corresponding mixture weight. Over the period 2019–2023, the separation $\Delta\mu = \mu_2-\mu_1$ increased markedly (country level: $0.086 \to 0.232$), demonstrating an accelerating divergence in OA publishing uptake across Europe.

Robustness checks using the Mann–Whitney U test confirm the statistical significance ($p<0.01$) of this divergence, with modal centers for 2022 at $\mu_1 \approx 0.10$ (low OA) and $\mu_2 \approx 0.30$ (high OA) (Kopitar et al., 2024).

2. Drivers of Divergence: Socioeconomic, Innovation, and Cultural Correlates

Transformation exhibits strong association with national innovation capacity and governance:

• The open-access–legacy ratio $\rho$ shows a correlation of $-0.93$ with the European Innovation Scoreboard (EIS) and $-0.86$ with Transparency International's Corruption Perception Index (CPI).
• High-innovation, high-governance countries (Austria, Belgium, Denmark, Finland, France, Germany, Netherlands, Sweden, etc.) cluster in the $\rho_{\text{low}}$ group (lower OA penetration); Central and Southeastern Europe (Croatia, Greece, Hungary, Italy, Poland, Romania, Slovenia, Spain, etc.) occupy the $\rho_{\text{high}}$ cluster.
• The correlation between EIS and CPI is $+0.87$, reinforcing the consistency of these relationships (Kopitar et al., 2024).

This pattern suggests that rapid OA adoption is associated with lower innovation and governance indices, plausibly reflecting institutional imperative to publish rapidly under resource pressures and "publish or perish" dynamics, as opposed to prestige- and defensiveness-dominated ecosystems in higher EIS/CPI regimes.

3. Game-Theoretic Modelling of Publishing Strategies

A game-theoretical replicator framework captures the dynamic evolution of publishing cultures during transformation. The stylized dynamic:

$$\frac{d\omega}{dt} = \omega(1-\omega)(\lambda-k \omega)$$

where $\omega$ is the share of cooperative (OA-oriented) institutions and $\lambda$ reflects policy support, predicts the coexistence of diverging strategies unless policy intensity surpasses a critical threshold $k$ (Kopitar et al., 2024). Europe presently occupies an intermediate regime with both cultures manifest, not yet converged to a monolithic OA equilibrium.

4. Mechanistic Levers: Publishing Models, Market Forces, and Institutional Pathways

Applying Porter's Five Forces reveals entrenched features of the subscription market—oligopolistic rivalry, high supplier power (authors/reviewers contributing free labor), low buyer power (libraries constrained by big-deal contracts), high entry barriers, and weak threat of substitutes—all sustaining extraordinary publisher profit margins (32–42%) (Björk, 2019). The movement to open access, in particular the transition to author-pays Gold OA, confronts several barriers:

• Multi-year big-deals lock in library spending, inhibit funds from being redirected to OA, and reduce the incentive for grassroots green OA archiving (Odlyzko, 2013).
• Prestige, indexation, and research assessment criteria funnel manuscripts into legacy titles, further solidifying incumbency advantage.
• Transformative agreements—read-and-publish or publish-and-read deals—are designed to incrementally convert journal portfolios to OA without destabilizing publisher revenues, aggregating APCs and subscriptions at the consortial level (Björk, 2019, Schmal, 2024, Jahn, 2024).

A residual effect is that the rate of adoption of truly new OA, high-speed venues is markedly higher in resource-constrained systems, as documented by the $\rho$ ratio and cluster divergence (Kopitar et al., 2024).

5. Bibliometric, Economic, and Policy Implications

The evolution of open access transformation is marked by significant trends:

• Mean $\rho$ in $\rho_{\text{high}}$ countries increased from $\sim0.24$ in 2019 to $\sim0.38$ in 2023, versus $\sim0.12\rightarrow 0.17$ in $\rho_{\text{low}}$ states (Kopitar et al., 2024).
• The gap in OA strategies is deepening, signaling the establishment of alternative publication cultures rather than a linear convergence.
• Quantitative links between OA prevalence and national innovation/governance indices underscore the non-uniform, policy-mediated nature of transformation.
• The growing influence of rapid, low-APC OA venues (MDPI and similar publishers) demonstrates that OA is not merely a marginal phenomenon but a strategic axis in national research systems.

The observed patterns have substantial ramifications for research accessibility, the democratization of collaboration, incentive structures in academic publishing, and the breadth of participation in European (and global) scholarly output.

6. Forward Outlook: Policy, Practice, and Systemic Transition

The current state of open access transformation is characterized by coexistence and divergence, with both defensive, legacy-driven and open, agile cultures expanding along distinct vectors. The available evidence suggests:

• Policy interventions that cross critical support thresholds can, in principle, tip the system toward OA cooperation dominance (Kopitar et al., 2024).
• Without targeted measures addressing incentive realignment, prestige lock-in, and equitable funding for OA platforms, entrenched disparities and dual cultures may persist.
• Monitoring of transformation metrics (such as $\rho$), ongoing economic and bibliometric analyses, and institutionally differentiated policies will be necessary to ensure both the progress and fairness of the open access transition.

This evolving landscape positions open access not simply as a technical or economic reform, but as a driver of broader systemic change in academic publishing cultures and research governance (Kopitar et al., 2024).