Flocculants Market latest Statistics on Market Size, Growth, Production, Sales Volume, Sales Price, Market Share and Import vs Export 

Flocculants Market Summary Highlights

The global Flocculants Market is entering a structurally transformative phase in 2026 as industrial water recycling mandates, stricter wastewater discharge norms, and mineral processing expansion reshape procurement patterns across municipal and industrial sectors. Demand concentration is increasingly shifting toward high-performance polymeric flocculants capable of operating efficiently under low-dose conditions and variable pH environments. Mining, food processing, pulp & paper, and municipal wastewater treatment continue to account for the largest consumption volumes, while oil & gas and semiconductor manufacturing are emerging as specialized growth pockets.

Asia-Pacific remains the dominant production and consumption hub due to extensive industrial water treatment infrastructure additions in China and India. Meanwhile, North America and Europe are prioritizing bio-based and low-residual monomer flocculant formulations amid tightening environmental regulations regarding acrylamide content and sludge disposal. Market competition is also intensifying around product efficiency, sludge reduction capability, and compatibility with automated dosing systems.

Rising freshwater stress is accelerating investment in tertiary wastewater treatment systems globally. As industrial operators target lower operating costs and higher water recovery rates, high molecular weight flocculants are becoming increasingly important in solid-liquid separation processes. However, volatility in acrylamide feedstock pricing and regulatory scrutiny surrounding synthetic polymers remain critical challenges influencing profitability and product innovation strategies.

Statistical Highlights

• The global Flocculants Market is projected to surpass USD 9.8 billion in 2026, with long-term expansion supported by industrial wastewater treatment investments across emerging economies.
• Municipal wastewater treatment applications are estimated to account for nearly 34% of global flocculant consumption volume in 2026.
• Mining sector demand for flocculants is forecast to grow by approximately 6.8% in 2026, driven by copper, lithium, and rare earth extraction projects.
• Asia-Pacific is expected to represent over 43% of total global market revenue in 2026 due to rapid industrialization and stricter discharge regulations.
• Cationic flocculants are projected to hold nearly 38% share of total product demand owing to their effectiveness in sludge dewatering applications.
• Bio-based flocculant adoption in Europe is anticipated to increase by more than 11% year-over-year during 2026–2028.
• Industrial water reuse projects globally are expected to increase by over 14% in 2026, directly supporting demand for advanced separation chemicals.
• Approximately 62% of new wastewater treatment facilities commissioned in Asia during 2026 are expected to incorporate automated polymer dosing systems.
• Mining tailings management applications may contribute nearly 18% of total flocculants demand by value in 2026.
• North American manufacturers are projected to increase investment in low-acrylamide and biodegradable polymer technologies by nearly 9% annually through 2028.
• The pulp & paper industry is expected to account for approximately 12% of worldwide flocculant consumption due to increased recycled fiber processing requirements.

Industrial Water Stress Reshaping the Flocculants Market

The most influential structural driver within the Flocculants Market remains the intensifying global pressure on industrial water management systems. Rapid urbanization, declining freshwater availability, and increasingly restrictive discharge regulations are compelling industries to adopt advanced clarification and sludge treatment technologies.

In 2026, water reuse targets across manufacturing-intensive economies are becoming materially stricter. China’s industrial water reuse initiatives under revised ecological management frameworks are expected to increase wastewater recycling penetration in heavy industries beyond 79% in major industrial clusters. India’s industrial corridor expansion projects are simultaneously accelerating investments in zero liquid discharge systems, especially within textiles, chemicals, and pharmaceuticals.

These developments directly increase the operational importance of flocculants in solid-liquid separation, suspended solids removal, and sludge volume reduction.

Municipal infrastructure modernization is also contributing significantly to consumption growth. Several metropolitan regions across Southeast Asia, the Middle East, and Latin America are upgrading secondary treatment systems into tertiary treatment facilities capable of supporting industrial-grade recycled water production. This transition substantially increases polymer demand intensity per cubic meter of treated water.

High molecular weight polyacrylamide variants continue to dominate due to superior bridging efficiency and lower dosage requirements. However, procurement strategies are changing. End users are increasingly evaluating lifecycle treatment economics rather than only upfront chemical costs, favoring products capable of reducing sludge handling expenditure and energy consumption.

Mining Expansion Supporting High-Volume Flocculant Consumption

Mining continues to represent one of the largest industrial consumers within the Flocculants Market, particularly as global energy transition policies accelerate demand for critical minerals.

Copper, lithium, nickel, cobalt, and rare earth extraction projects are expanding rapidly across Australia, Chile, Peru, Indonesia, and parts of Africa. These operations require large-scale tailings management and water recovery systems where flocculants are essential for thickening, clarification, and dewatering processes.

In 2026, copper mine wastewater treatment volumes are estimated to rise by more than 7%, while lithium processing wastewater generation may expand at an even faster rate due to the aggressive commissioning of battery mineral refining facilities.

Tailings storage regulations are becoming more stringent following multiple global tailings dam failures over the past decade. Mining operators are therefore prioritizing higher-density tailings disposal systems that rely heavily on advanced flocculation chemistry.

This trend is particularly evident in South America, where several large copper producers are increasing deployment of high-efficiency anionic flocculants to improve water recovery rates in arid mining regions. Water recovery efficiencies exceeding 82% are increasingly becoming operational benchmarks in new mining projects.

The shift toward lower-grade ore processing is another important market catalyst. Lower ore grades generate larger waste volumes, increasing the requirement for separation chemicals per ton of extracted mineral.

At the same time, mining companies are under pressure to reduce freshwater withdrawals. Consequently, flocculant suppliers capable of improving recirculated water quality and reducing thickener overflow turbidity are gaining stronger pricing leverage.

Regulatory Pressure Accelerating Product Innovation

Environmental scrutiny surrounding synthetic polymers is reshaping product development strategies across the global flocculants industry.

European regulators continue tightening oversight of residual acrylamide levels in water treatment chemicals due to toxicity concerns. As a result, manufacturers are increasing investment in low-residual monomer technologies and biodegradable alternatives.

Bio-based flocculants derived from starch, chitosan, cellulose, and microbial polymers are gaining attention, particularly in food processing and municipal applications where environmental compliance standards are becoming more demanding.

Although synthetic products still dominate overall market volume because of superior cost-performance ratios, bio-based alternatives are recording faster adoption growth in environmentally sensitive applications.

This transition is creating a bifurcated market structure:

• Synthetic flocculants dominate high-volume industrial operations
• Bio-derived products gain traction in regulated municipal and specialty applications
• Hybrid polymer systems emerge as performance optimization solutions
• Low-toxicity formulations command premium pricing in Europe and North America

Several water authorities are also introducing stricter sludge disposal regulations. This is increasing demand for flocculants capable of minimizing sludge generation while improving dewatering efficiency.

Operational automation is becoming another defining industry trend. Advanced dosing optimization systems integrated with real-time turbidity sensors are increasingly being deployed in wastewater treatment plants. These systems reduce overdosing risks and improve chemical utilization efficiency.

Consequently, flocculant manufacturers are moving beyond commodity chemical supply models toward integrated process optimization partnerships.

Oil & Gas and Energy Processing Creating Specialized Demand

Although mining and municipal treatment remain dominant segments, energy-sector wastewater treatment is emerging as a technologically specialized growth area for flocculant suppliers.

Produced water treatment volumes in unconventional oil & gas operations are increasing steadily, particularly in North America and the Middle East. These wastewater streams contain high salinity, suspended solids, hydrocarbons, and chemical contaminants that require tailored flocculation solutions.

Refineries and petrochemical facilities are also upgrading wastewater treatment infrastructure to comply with tighter discharge standards related to hydrocarbons and heavy metals.

In thermal power generation, stricter cooling water discharge regulations are increasing the use of clarification chemicals across ash pond management systems.

Meanwhile, semiconductor manufacturing expansion in East Asia and the United States is contributing to demand for ultra-high-purity water treatment chemicals. Semiconductor facilities generate complex wastewater streams requiring highly specialized treatment formulations with minimal contamination risk.

The increasing complexity of industrial wastewater composition is encouraging development of customized flocculant blends designed for specific conductivity ranges, contaminant profiles, and operating conditions.

This customization trend is gradually reducing commoditization pressure within parts of the Flocculants Market while improving margins for technologically differentiated suppliers.

Supply Chain Volatility Influencing Pricing Dynamics

Raw material volatility remains one of the most significant commercial risks affecting flocculant manufacturers in 2026.

Acrylamide and acrylic acid feedstock prices continue to fluctuate due to energy cost instability, petrochemical supply chain disruptions, and regional production imbalances. Manufacturers heavily dependent on synthetic polymer production remain exposed to margin compression risks during periods of feedstock inflation.

Transportation costs also remain elevated for water treatment chemicals because flocculants are often shipped in bulk liquid or powder form requiring specialized handling and storage infrastructure.

To mitigate these risks, producers are increasingly regionalizing manufacturing capacity and diversifying raw material sourcing strategies. Asian suppliers continue expanding export competitiveness, although Western markets are placing greater emphasis on supply reliability and regulatory compliance rather than solely cost-based procurement.

As treatment efficiency standards become more demanding globally, product differentiation is increasingly shifting toward performance consistency, lower dosage requirements, and environmental compatibility rather than volume-based pricing competition alone.

Regional Dynamics Reshaping the Flocculants Market

Geographical demand patterns in the Flocculants Market are increasingly being shaped by industrial water stress, mining investment cycles, wastewater infrastructure modernization, and environmental compliance standards rather than purely by manufacturing output growth. Consumption intensity varies significantly across regions depending on industrial structure, freshwater availability, and regulatory maturity.

Asia-Pacific continues to dominate both consumption and manufacturing activity, while North America and Europe are moving toward higher-value specialty formulations with lower environmental impact profiles. Latin America, Africa, and the Middle East are emerging as strategically important demand centers because of mining expansion and desalination-linked wastewater treatment projects.

Asia-Pacific Leads Global Flocculants Consumption

Asia-Pacific is projected to account for more than 43% of global Flocculants Market revenue in 2026, supported by extensive industrial wastewater generation and large-scale municipal infrastructure additions.

China remains the single largest consuming country. Industrial wastewater discharge volumes from sectors such as chemicals, steel, textiles, mining, and electronics continue to rise despite efficiency improvements. The Ministry of Ecology and Environment’s tightening discharge standards are accelerating tertiary treatment adoption across industrial parks and manufacturing corridors.

Chinese mining operations are also increasing consumption of high-efficiency anionic flocculants in copper, gold, and rare earth processing facilities. Water scarcity in northern industrial provinces has intensified investment in water recycling systems, significantly increasing polymer dosing requirements.

India is emerging as one of the fastest-growing regional markets due to rapid expansion of pharmaceuticals, food processing, municipal sewage treatment, and textiles. Urban wastewater treatment capacity additions are projected to increase by nearly 12% during 2026 alone as state governments accelerate river pollution control initiatives and smart city infrastructure deployment.

Demand growth in Southeast Asia is similarly robust. Indonesia and Vietnam are witnessing increasing procurement of water treatment chemicals for nickel processing, electronics manufacturing, and municipal sanitation infrastructure. Industrial relocation trends from China into Southeast Asian manufacturing hubs are creating new long-term opportunities for flocculant suppliers.

Japan and South Korea represent comparatively mature but technologically advanced markets where specialty low-residual polymer products command premium pricing. Semiconductor and electronics manufacturing sectors in these countries require ultra-pure water systems that depend on highly controlled flocculation processes.

North America Prioritizing High-Performance Formulations

The North American Flocculants Market is increasingly characterized by product optimization rather than volume expansion alone.

The United States continues to generate strong demand from municipal wastewater treatment facilities, shale oil wastewater management, pulp & paper operations, and mining projects. Produced water treatment in unconventional oil basins remains a particularly important growth driver.

Large-scale desalination and water reuse investments in western U.S. states are increasing procurement of advanced separation chemicals capable of handling high salinity wastewater streams. Industrial water reuse mandates in drought-prone regions are also intensifying demand for customized flocculant systems.

Municipal sludge management is becoming another major procurement focus. Several wastewater treatment operators are prioritizing higher dewatering efficiency to reduce landfill disposal costs and transportation expenditure.

Canada maintains strong demand from mining operations, particularly potash, copper, and gold extraction facilities. Oil sands wastewater treatment continues to require large-scale clarification and thickening processes using high molecular weight polymer products.

North American buyers are also increasingly prioritizing sustainability metrics during procurement decisions. Low-acrylamide and biodegradable product variants are gaining stronger commercial traction despite higher average pricing.

Europe Moving Toward Bio-Based Alternatives

Europe represents one of the most regulation-driven regions within the Flocculants Market.

The European Union’s tightening environmental standards regarding sludge disposal, polymer toxicity, and residual monomer levels are reshaping product demand patterns. Water utilities and industrial operators are increasingly adopting bio-based or hybrid flocculation systems to improve environmental compliance.

Germany, France, the Netherlands, and Nordic countries continue investing heavily in wastewater recycling infrastructure and advanced sludge treatment systems. Circular economy initiatives are encouraging greater reuse of industrial wastewater and treated sludge, increasing the operational importance of efficient separation technologies.

Food processing and beverage industries across Europe are also increasing usage of specialty flocculants for wastewater clarification and nutrient recovery applications.

Mining demand remains relatively smaller compared to Latin America or Australia, although battery mineral processing investments in parts of Europe are beginning to create incremental demand growth.

Higher energy prices across Europe continue influencing operating costs for chemical manufacturers, contributing to elevated regional product pricing.

Latin America and Middle East Expanding Rapidly

Latin America is becoming increasingly important for suppliers participating in mining-linked segments of the Flocculants Market.

Chile and Peru continue to dominate regional demand due to extensive copper extraction activity. Water scarcity across mining regions in the Andes has accelerated adoption of high-efficiency thickening systems designed to maximize water recovery from tailings.

Lithium extraction projects across Argentina and Chile are also increasing demand for customized flocculation chemistries suitable for brine processing operations.

Brazil remains a major consumer because of mining, sugar processing, pulp & paper, and municipal wastewater treatment expansion. Industrial sanitation investment ahead of infrastructure modernization programs is supporting long-term chemical demand growth.

In the Middle East, desalination-linked wastewater treatment and petrochemical expansion remain the primary demand drivers. Gulf countries are investing aggressively in industrial water recycling as freshwater scarcity intensifies.

Saudi Arabia and the United Arab Emirates are increasing adoption of advanced wastewater treatment systems capable of supporting industrial reuse applications. This is strengthening regional demand for high-performance cationic and non-ionic flocculants.

Segmentation Highlights Across the Flocculants Market

By Product Type

• Anionic flocculants continue to dominate mining and mineral processing applications due to strong solid-liquid separation efficiency.
• Cationic variants account for nearly 38% of total market value because of widespread use in sludge dewatering.
• Non-ionic flocculants are witnessing increasing demand in specialty industrial wastewater applications.
• Bio-based flocculants are projected to record the fastest growth rates between 2026 and 2030.

By Application

• Municipal wastewater treatment remains the largest application segment globally.
• Mining and metallurgy contribute substantial consumption volume due to tailings management requirements.
• Oil & gas wastewater treatment is emerging as a high-margin specialty segment.
• Food & beverage industries are increasing use of low-toxicity formulations.
• Pulp & paper recycling operations continue expanding polymer consumption intensity.

By Form

• Powder flocculants dominate long-distance export markets because of better storage stability.
• Liquid formulations are gaining traction in automated dosing systems.
• Emulsion products are increasingly preferred in large industrial treatment facilities.

Flocculants Production Expanding Closer to Demand Centers

Global Flocculants production capacity is increasingly being regionalized to reduce logistics risks, stabilize supply chains, and improve responsiveness to local regulatory requirements. In 2026, Asia-Pacific is estimated to account for nearly half of worldwide Flocculants production, led by China, India, and South Korea.

Chinese manufacturers continue expanding integrated acrylamide and polyacrylamide production capacity to strengthen export competitiveness. India is simultaneously increasing domestic Flocculants production to reduce dependence on imported specialty polymers, particularly for municipal treatment projects and industrial wastewater infrastructure.

North American producers are prioritizing specialty-grade output with lower residual monomer content, while European manufacturers are investing in biodegradable polymer technologies and hybrid bio-based formulations. Several multinational suppliers are also establishing localized blending and packaging facilities in Latin America and the Middle East to improve delivery efficiency and reduce transportation costs.

Flocculants Price Trend Reflecting Feedstock Volatility

The global Flocculants Price Trend remains heavily influenced by acrylamide feedstock fluctuations, energy costs, freight rates, and regional environmental compliance expenses.

During 2026, average industrial-grade polyacrylamide prices are projected to remain moderately elevated compared to pre-2024 levels because of continued petrochemical market instability and rising environmental operating costs.

In Asia, competitive manufacturing capacity expansion is helping stabilize bulk pricing despite periodic raw material volatility. However, premium specialty products with enhanced biodegradability and low-toxicity characteristics are recording noticeably higher margins.

The European Flocculants Price Trend continues to reflect elevated electricity and compliance costs associated with stricter chemical manufacturing regulations. Specialty wastewater treatment polymers in Europe are expected to command premiums exceeding 18–22% relative to conventional commodity grades.

North America is witnessing relatively balanced pricing conditions, although logistics costs and oil-linked feedstock volatility continue influencing procurement contracts.

Bulk buyers are increasingly negotiating long-term supply agreements to reduce exposure to short-term price swings. This trend is especially visible among mining companies and municipal treatment operators where chemical expenditure forms a significant portion of operating budgets.

At the same time, the overall Flocculants Price environment is gradually shifting from commodity-driven competition toward performance-based pricing models. Products capable of reducing sludge generation, lowering dosage rates, and improving water recovery efficiency are securing stronger commercial positioning despite higher upfront costs.

The long-term Flocculants Price Trend is therefore expected to remain structurally firm as environmental compliance requirements and specialty formulation demand continue increasing across industrial and municipal treatment applications worldwide.

Competitive Landscape of the Flocculants Market

The global Flocculants Market remains moderately consolidated, with multinational specialty chemical manufacturers controlling a significant share of high-performance polymer supply for municipal wastewater treatment, mining, industrial processing, and sludge dewatering applications. Competition is increasingly shifting away from commodity-based pricing toward process efficiency, sustainability performance, and customized water treatment solutions.

Large producers maintain competitive advantages through vertically integrated acrylamide manufacturing, proprietary polymer technologies, extensive distribution networks, and long-term industrial supply agreements. At the same time, regional suppliers across Asia-Pacific are expanding aggressively through cost-competitive manufacturing and localized supply capabilities.

The top five manufacturers collectively account for nearly half of global market revenue in 2026, while dozens of regional producers continue serving low-cost industrial and municipal treatment segments.

SNF Group Holding Leadership Position

SNF Group continues to dominate the global Flocculants Market, particularly in polyacrylamide-based flocculants used across mining, municipal wastewater treatment, oil sands processing, and industrial sludge management.

The company’s product portfolio includes:

• FLOPAM series
• AN series anionic polymers
• FO series cationic flocculants
• Emulsion and dispersion polymer technologies

SNF’s market leadership is strongly supported by its integrated acrylamide production capacity and extensive global manufacturing footprint across Europe, North America, Latin America, and Asia-Pacific.

The company maintains particularly strong positioning in mining applications where high molecular weight flocculants are critical for thickening, clarification, and water recovery from tailings systems. Demand from lithium, copper, and rare earth extraction projects continues supporting volume growth for SNF’s mining-grade polymers.

Industry estimates suggest SNF accounts for approximately 16–19% of total global market revenue in 2026.

Kemira Expanding Municipal Water Treatment Presence

Kemira remains one of the most influential suppliers in municipal and industrial water treatment chemistry. The company maintains strong penetration in wastewater treatment facilities, pulp & paper processing plants, and industrial clarification systems.

Its major product lines include:

• KemFlite
• Superfloc
• FennoPol

Kemira has increasingly focused on advanced sludge dewatering chemistry and digital dosing optimization technologies designed to improve treatment efficiency while lowering operating costs.

The company continues strengthening its environmental positioning through lower-toxicity formulations and improved polymer efficiency systems, especially in Europe where environmental regulations surrounding wastewater chemicals are becoming stricter.

Municipal sludge handling remains one of Kemira’s strongest application areas as wastewater treatment operators seek lower disposal costs and higher dewatering efficiency.

BASF Strengthening Specialty Polymer Portfolio

BASF continues to maintain a major position within the Flocculants Market through its mining and industrial water treatment polymer portfolio.

Its Magnafloc product family remains widely used across:

• Mineral processing
• Industrial wastewater clarification
• Tailings management
• Sludge thickening operations

BASF’s competitive strategy increasingly centers on high-efficiency formulations capable of reducing dosage requirements while improving separation performance under difficult operating conditions.

Mining remains a particularly important end-use sector for the company. Lower-grade ore processing and rising tailings volumes are increasing demand for advanced separation chemistry capable of improving water recovery efficiency.

The company is also investing heavily in environmentally optimized polymer technologies aligned with tightening European sustainability regulations.

BASF is estimated to account for approximately 8–10% of global flocculant-related revenues in 2026.

Solenis Building Integrated Water Management Capabilities

Solenis continues expanding its position through integrated industrial water treatment programs and process optimization solutions.

The company’s major flocculant product ranges include:

• Praestol
• Zetag

These products are extensively used in:

• Municipal wastewater treatment
• Pulp & paper processing
• Industrial clarification systems
• Food processing wastewater applications

Solenis has differentiated itself by combining chemical supply with real-time monitoring systems, dosing optimization software, and operational analytics.

This approach is becoming increasingly valuable for industrial operators seeking to reduce water consumption, improve treatment efficiency, and meet stricter environmental compliance standards.

The company has also strengthened its global operational footprint through acquisitions and infrastructure expansion programs, particularly in industrial water treatment markets.

Ecolab and Nalco Water Targeting High-Value Segments

Ecolab, through its Nalco Water division, maintains strong presence in premium industrial wastewater treatment applications.

The company focuses heavily on customized treatment systems for:

• Petrochemical facilities
• Refineries
• Semiconductor manufacturing
• Power generation
• Heavy industrial operations

Nalco Water’s polymer technologies are increasingly integrated with digital monitoring platforms that optimize chemical dosing and improve water recovery efficiency.

Unlike commodity-focused suppliers, Ecolab concentrates on performance-based treatment programs where operational savings and sustainability improvements justify premium pricing structures.

The company is particularly well positioned in North America and Europe where industrial operators are aggressively investing in water reuse systems and environmental compliance upgrades.

Regional Manufacturers Intensifying Competition

Regional producers are becoming increasingly important participants within the Flocculants Market, especially across Asia-Pacific.

Chinese manufacturers continue expanding export competitiveness through large-scale polyacrylamide production and lower manufacturing costs. Domestic suppliers are strengthening their positions in municipal treatment, mining, textile wastewater, and industrial clarification applications.

India is also emerging as an important manufacturing hub as domestic wastewater treatment investments accelerate. Indian producers are increasing production of industrial-grade flocculants to support municipal sanitation programs, pharmaceutical manufacturing, and textile processing sectors.

Japanese and South Korean suppliers remain highly competitive in technologically advanced specialty applications requiring ultra-high-purity formulations and highly controlled polymer characteristics.

Flocculants Market Share by Manufacturers

The global Flocculants Market structure in 2026 reflects moderate concentration with strong influence from integrated multinational chemical suppliers.

Estimated manufacturer market share distribution includes:

• SNF Group: 16–19%
• Kemira: 9–11%
• BASF: 8–10%
• Solenis: 7–9%
• Ecolab/Nalco Water: 5–7%
• Regional and smaller manufacturers: 44–50%

Smaller manufacturers continue competing aggressively in lower-cost industrial segments where pricing remains the primary procurement factor.

However, premium municipal and industrial projects increasingly prioritize:

• Regulatory compliance support
• Automated dosing compatibility
• Sludge reduction efficiency
• Water recovery optimization
• Low-residual monomer formulations

This transition is gradually increasing technological entry barriers and favoring companies with advanced process engineering capabilities.

Recent News and Industry Developments

• March 2026: Kemira expanded its municipal wastewater polymer portfolio focused on advanced sludge dewatering efficiency and lower residual monomer content.
• February 2026: SNF Group increased mining-grade flocculant production capacity in Asia-Pacific to support rising lithium and copper extraction activity.
• January 2026: Solenis accelerated deployment of AI-enabled dosing optimization systems for industrial wastewater treatment plants.
• December 2025: BASF expanded investment in sustainable water treatment polymers targeting environmentally sensitive industrial applications.
• 2025–2026: Ecolab strengthened digital water management integration across semiconductor and petrochemical wastewater treatment systems.
• Several European manufacturers increased R&D investment in bio-based flocculants derived from starch, cellulose, and chitosan to address tightening environmental regulations.
• Mining operators across South America signed long-term supply agreements for high-efficiency flocculants as water recovery requirements became stricter in copper and lithium processing operations.