Zero-valent copper engineered nanoparticles (Cu-ENPs) released through unintentional or intentional actions into the agricultural soils can alter the availability of inorganic phosphorus (IP) to plants. In this study, we used adsorption-desorption experiments to evaluate the effect of particle size of 1% Cu-ENPs (25 nm and 40-60 nm) on IP availability in Santa Barbara (SB) volcanic ash soil. X-Ray Diffraction results showed that Cu-ENPs were formed by a mixture of Cu metallic and Cu oxides (Cu₂O or/and CuO) species, while specific surface area values showed that Cu-ENPs/25 nm could form larger aggregate particles compared to Cu-ENPs/40-60 nm. The kinetic IP adsorption of SB soil without and with 1% Cu-ENPs (25 nm and 40-60 nm) followed the mechanism described by the pseudo-second-order (k₂ = 0.45-1.13 x 10^-3 kg mmol^-1 min^-1; r² ≥ 0.999, and RSS ≤ 0.091) and Elovich (α = 14621.10-3136.20 mmol kg^-1 min^-1; r² ≥ 0.984, and RSS ≤ 69) models. Thus, the rate-limiting step for IP adsorption in the studied systems was chemisorption on a heterogeneous surface. Adsorption equilibrium isotherms without Cu-ENPs were fitted well to the Freundlich model, while with 1% Cu-ENPs (25 nm and 40-60 nm), isotherms were described best by the Freundlich and/or Langmuir model. The IP relative adsorption capacity (K_F) was higher with 1% Cu-ENPs/40-60 nm (K_F = 110.41) than for 1% Cu-ENPs/25 nm (K_F = 74.40) and for SB soil (K_F = 48.17). This study showed that plausible IP retention mechanisms in the presence of 1% Cu-ENPs in SB soil were: i) ligand exchange, ii) electrostatic attraction, and iii) co-precipitate formation. The desorption study demonstrated that 1% Cu-ENPs/40-60 nm increased the affinity of IP in SB soil with a greater effect than 1% Cu-ENPs/25 nm. Thus, both the studied size ranges of Cu-ENPs could favor an accumulation of IP in volcanic ash soils.

This study identifies key drivers for ERP implementation in small- and medium-sized enterprises (SMEs) in Austro–Ecuador and examines their impact on operational efficiency, strategic adaptability, and digital transformation. Motivated by the limited empirical evidence on ERP adoption in Latin American SMEs, this research aims to provide Austro–Ecuadorian insights that contribute to innovation management practices in emerging economies. To identify the critical success factors (CSFs) influencing ERP implementation, a four-phase methodology was employed, encompassing a CSF literature review, data collection and case analysis from 55 SMEs, multiple correspondence analysis (MCA), and descriptive ERP analysis. Statistical analysis of the surveyed SMEs, primarily from manufacturing sectors, revealed that while a significant portion (37%) lacked ERP experience, 22.9% were in the process of implementing or actively using systems such as Oracle’s J.D. Edwards Enterprise One and SAP. The MCA highlighted ERP system configuration, vendor relationships, and user training as significant factors for successful ERP implementation, reported by 54.5% of the companies. Quadrant analysis further emphasized the influence of IT structure and legacy systems on implementation characteristics, with cluster analysis identifying three distinct groups of companies based on their ERP strategies. The findings underscore the importance of top management support, business process re-engineering, and external consultants for successful ERP adoption in SMEs, providing practical insights for optimizing innovation management in the digital era. Future research should investigate the long-term impacts of ERP systems on organizational performance and innovation sustainability.