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市場調查報告書
商品編碼
1859744

全球飽和脂肪酸市場預測(至2032年):依來源、形態、等級、通路、應用及地區進行分析

Saturated Fatty Acid Market Forecasts to 2032 - Global Analysis By Source (Animal-Based Sources and Plant-Based Sources), Form, Grade, Distribution Channel, Application and By Geography

出版日期: | 出版商: Stratistics Market Research Consulting | 英文 200+ Pages | 商品交期: 2-3個工作天內

價格

根據 Stratistics MRC 的數據,預計 2025 年全球飽和脂肪酸市場規模將達到 45.9 億美元,到 2032 年將達到 77.6 億美元,預測期內複合年成長率為 7.8%。

飽和脂肪酸是指碳原子之間僅以單鍵連接的脂肪,其氫含量最高。它們通常在室溫下呈固體,存在於肉類、奶油、起司以及某些熱帶植物油(如椰子油和棕櫚油)等食物中。過量攝取這類脂肪會升高血液膽固醇,並增加心臟病的風險,因此控制攝取是健康飲食的重要組成部分。

根據經濟複雜性觀察站(OEC)的數據,2023年全球美容產品貿易額將達到704億美元,比2022年成長9.02%。

個人護理和化妝品行業的成長

消費者對護膚、護髮和美容產品的需求不斷成長,推動了飽和脂肪酸市場的顯著成長。飽和脂肪酸廣泛用於化妝品中,用作潤膚劑、乳化劑和界面活性劑。消費者對成分透明度和產品功效的日益關注,促使他們更多地採用天然來源的飽和脂肪酸。清潔美容運動的興起以及消費者對植物來源個人護理產品的偏好,進一步推動了這一趨勢。製造商正不斷創新,研發多功能脂肪酸衍生物,以滿足消費者不斷變化的需求。隨著健康和個人護理成為日常生活的重要組成部分,化妝品行業將繼續保持強勁的成長勢頭。

與不飽和脂肪酸的競爭

由於其生物活性,不飽和脂肪酸的替代品在食品、營養保健品和化妝品領域日益普及。技術進步提高了不飽和脂肪酸的穩定性和配方相容性,使其對配方師更具吸引力。監管機構和注重健康的消費者越來越傾向於在飲食和局部產品中使用不飽和脂肪酸。這種轉變正在挑戰飽和脂肪酸在多個終端應用產業的統治地位。因此,市場相關人員必須透過性能、永續性和成本優勢來實現差異化。

生產技術的進步

酶促合成、生物精煉和綠色化學領域的突破正在改變飽和脂肪酸的生產模式。這些創新實現了更高的純度、更高的產量和更低的環境影響。先進的加工技術也拓展了可用於特定應用的功能性衍生物的範圍。自動化和人工智慧驅動的品管正在提高生產的一致性和擴充性。此外,可再生原料的整合使生產與全球永續性目標保持一致。這些市場發展為產品創新和跨領域市場滲透開闢了新的途徑。

來自合成替代品的競爭

合成替代品,例如石油基界面活性劑和油脂化學品,對飽和脂肪酸市場構成重大威脅。這些替代品通常具有成本優勢、保存期限長以及在工業應用中性能穩定等優點。合成化學的快速創新正在縮小天然成分和人工成分之間的性能差距。在塑膠、潤滑劑和清潔劑等領域,合成材料因其可調控的性能而備受青睞。然而,環境和生物分解性問題仍然威脅著合成樹脂的長期發展前景。

新冠疫情的影響:

新冠疫情擾亂了全球供應鏈,影響了脂肪酸生產所需原料的供應。封鎖和勞動力短缺迫使生產設施暫時停產,導致產量下降。然而,對肥皂、洗手液和消毒劑等衛生相關產品的需求激增,而飽和脂肪酸正是這些產品的關鍵成分。疫情危機也加速了生產和物流的數位化和自動化進程。後疫情時代的策略越來越強調供應鏈韌性、在地採購和敏捷生產,以降低未來可能出現的干擾。

預計在預測期內,植物來源市場將達到最大規模。

由於符合潔淨標示趨勢和消費者對永續成分的偏好,預計植物來源成分細分市場將在預測期內佔據最大的市場佔有率。棕櫚油、椰子油和大豆油被廣泛用作飽和脂肪酸生產的原料。這些原料具有擴充性、成本效益高以及與各種終端用途配方相容等偏好。監管部門對生物基成分的支持進一步推動了其在食品、化妝品和工業領域的應用。生產商正在投資建造可追溯且不涉及森林砍伐的供應鏈,以滿足環境、社會和治理(ESG)的要求。

預計在預測期內,化妝品和個人護理用品領域將實現最高的複合年成長率。

預計在預測期內,化妝品和個人護理品領域將保持最高的成長率,這主要得益於消費者在健康和美容產品上的支出不斷增加。飽和脂肪酸因其保濕和乳化特性,在乳霜、乳液、洗髮精和潔面乳等配方中至關重要。消費者對有機和純素化妝品的需求不斷成長,也推動了植物來源脂肪酸的使用。新興市場正經歷美容產品消費的激增,這主要得益於都市化和數位化零售的蓬勃發展。各大品牌紛紛推出多功能且感官體驗豐富的產品,進一步刺激了對原料的需求。

佔比最大的地區:

在預測期內,亞太地區預計將佔據最大的市場佔有率,這主要得益於其強大的製造業基礎以及個人護理和食品的高消費量。中國、印度和印尼等國是飽和脂肪酸的主要生產國和消費國,這得益於其豐富的原料供應。快速的都市化和不斷成長的可支配收入正在推動加工食品、化妝品和家居護理產品的需求。工業成長和政府促進生物基化學產品發展的措施正在提升該地區的競爭力。對油脂化學基礎設施的策略性投資正在進一步加強供應鏈。

複合年成長率最高的地區:

在預測期內,由於食品、化妝品和藥品領域對永續和功能性成分的需求不斷成長,北美預計將呈現最高的複合年成長率。美國和加拿大正經歷著向植物來源和潔淨標示配方的轉變,推動了生物基飽和脂肪酸的應用。有利於綠色化學和可生物分解原料的法律規範正在加速市場滲透。用於高價值應用的特殊脂肪酸衍生物的創新正日益受到關注。生產商正在投資先進的加工技術和循環原料模式,以實現其環境目標。

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目錄

第1章執行摘要

第2章 前言

  • 概述
  • 相關利益者
  • 調查範圍
  • 調查方法
    • 資料探勘
    • 數據分析
    • 數據檢驗
    • 研究途徑
  • 研究材料
    • 原始研究資料
    • 次級研究資訊來源
    • 先決條件

第3章 市場趨勢分析

  • 促進要素
  • 抑制因素
  • 機會
  • 威脅
  • 應用分析
  • 新興市場
  • 新冠疫情的影響

第4章 波特五力分析

  • 供應商的議價能力
  • 買方的議價能力
  • 替代品的威脅
  • 新進入者的威脅
  • 競爭對手之間的競爭

5. 全球飽和脂肪酸市場(依來源分類)

  • 動物性成分
    • 奶油
    • 豬油
  • 植物來源成分
    • 棕櫚油
    • 椰子油

6. 全球飽和脂肪酸市場(依形式分類)

  • 固體飽和脂肪酸
  • 液態飽和脂肪酸

7. 全球飽和脂肪酸市場(依等級分類)

  • 食品級
  • 醫藥級
  • 工業級

8. 全球飽和脂肪酸市場依通路分類

  • 直銷
  • 批發商
  • 線上零售
  • 專賣店

9. 全球飽和脂肪酸市場依應用領域分類

  • 食品工業
  • 製藥
  • 化妝品和個人護理
  • 工業應用
  • 其他用途

10. 全球飽和脂肪酸市場(按地區分類)

  • 北美洲
    • 美國
    • 加拿大
    • 墨西哥
  • 歐洲
    • 德國
    • 英國
    • 義大利
    • 法國
    • 西班牙
    • 其他歐洲
  • 亞太地區
    • 日本
    • 中國
    • 印度
    • 澳洲
    • 紐西蘭
    • 韓國
    • 亞太其他地區
  • 南美洲
    • 阿根廷
    • 巴西
    • 智利
    • 其他南美洲
  • 中東和非洲
    • 沙烏地阿拉伯
    • 阿拉伯聯合大公國
    • 卡達
    • 南非
    • 其他中東和非洲地區

第11章 重大進展

  • 協議、夥伴關係、合作和合資企業
  • 收購與併購
  • 新產品上市
  • 業務拓展
  • 其他關鍵策略

第12章 企業概況

  • BASF SE
  • Timur OleoChemicals
  • Croda International Plc
  • Eastman Chemical Company
  • KLK OLEO
  • Twin Rivers Technologies
  • Wilmar International Limited
  • P&G Chemicals
  • Oleon NV
  • Akzo Nobel NV
  • Emery Oleochemicals
  • Pacific Oleochemicals Sdn Bhd
  • Godrej Industries Limited
  • IOI Oleochemicals
  • VVF Ltd.
Product Code: SMRC31968

According to Stratistics MRC, the Global Saturated Fatty Acid Market is accounted for $4.59 billion in 2025 and is expected to reach $7.76 billion by 2032 growing at a CAGR of 7.8% during the forecast period. Saturated fatty acids are fats in which carbon atoms are connected solely by single bonds, resulting in maximum hydrogen content. Usually solid at room temperature, they are present in foods such as meat, butter, cheese, and certain tropical oils like coconut and palm oil. Excessive intake of these fats may raise blood cholesterol and contribute to heart disease, so they should be consumed in controlled amounts as part of a healthy dietary regimen.

According to the Observatory of Economic Complexity (OEC), in 2023, the global trade for beauty products was USD 70.4 billion, which is 9.02% more than in 2022.

Market Dynamics:

Driver:

Growth in personal care and cosmetics

The expanding demand for skincare, haircare, and beauty products is significantly boosting the saturated fatty acid market. These acids are widely used as emollients, emulsifiers, and surfactants in cosmetic formulations. Rising consumer awareness around ingredient transparency and product efficacy is driving the adoption of naturally derived saturated fatty acids. The clean beauty movement and preference for plant-based personal care items are further accelerating this trend. Manufacturers are innovating with multifunctional fatty acid derivatives to meet evolving consumer needs. As wellness and grooming become integral to daily routines, the cosmetics sector continues to be a major growth engine.

Restraint:

Competition from unsaturated fatty acids

The alternatives are gaining traction in food, nutraceuticals, and cosmetics due to their bioactive properties. Technological advancements have improved the stability and formulation compatibility of unsaturated variants, making them more attractive to formulators. Regulatory bodies and health-conscious consumers are increasingly favoring unsaturated profiles in dietary and topical applications. This shift is challenging the dominance of saturated fatty acids in several end-use industries. As a result, market players must differentiate through performance, sustainability, or cost advantages.

Opportunity:

Technological advancements in production

Breakthroughs in enzymatic synthesis, bio-refining, and green chemistry are transforming the production landscape for saturated fatty acids. These innovations are enabling higher purity, better yield, and reduced environmental impact. Advanced processing techniques are also expanding the range of functional derivatives that can be tailored for specific applications. Automation and AI-driven quality control are improving consistency and scalability in manufacturing. Moreover, the integration of renewable feedstocks is aligning production with global sustainability goals. These developments open new avenues for product innovation and market penetration across diverse sectors.

Threat:

Competition from synthetic substitutes

Synthetic alternatives, such as petroleum-based surfactants and oleochemicals, pose a significant threat to the saturated fatty acid market. These substitutes often offer cost advantages, longer shelf life, and consistent performance in industrial applications. Rapid innovation in synthetic chemistry is narrowing the functional gap between natural and artificial ingredients. In sectors like plastics, lubricants, and detergents, synthetic options are gaining favor due to their engineered properties. Environmental concerns and biodegradability issues, however, continue to challenge their long-term viability.

Covid-19 Impact:

The COVID-19 pandemic disrupted global supply chains, affecting the availability of raw materials for fatty acid production. Lockdowns and labor shortages led to temporary shutdowns in manufacturing facilities, impacting output. However, demand surged in hygiene-related applications such as soaps, sanitizers, and disinfectants, where saturated fatty acids are key ingredients. The crisis also accelerated digitalization and automation in production and logistics. Post-pandemic strategies now emphasize supply chain resilience, localized sourcing, and agile manufacturing to mitigate future disruptions.

The plant-based sources segment is expected to be the largest during the forecast period

The plant-based sources segment is expected to account for the largest market share during the forecast period, due to its alignment with clean-label trends and consumer preference for sustainable ingredients. Oils derived from palm, coconut, and soybean are widely used as feedstocks for saturated fatty acid production. These sources offer scalability, cost efficiency, and compatibility with various end-use formulations. Regulatory support for bio-based ingredients is further driving adoption across food, cosmetics, and industrial sectors. Producers are investing in traceable, deforestation-free supply chains to meet ESG expectations.

The cosmetics & personal care segment is expected to have the highest CAGR during the forecast period

Over the forecast period, the cosmetics & personal care segment is predicted to witness the highest growth rate, due to rising consumer spending on wellness and grooming products. Saturated fatty acids are essential in formulating creams, lotions, shampoos, and cleansers for their moisturizing and emulsifying properties. The shift toward organic and vegan cosmetics is increasing the use of plant-derived fatty acids. Emerging markets are experiencing a surge in beauty product consumption, driven by urbanization and digital retail. Brands are launching multifunctional and sensorially appealing products, further boosting ingredient demand.

Region with largest share:

During the forecast period, the Asia Pacific region is expected to hold the largest market share, due to its robust manufacturing base and high consumption of personal care and food products. Countries like China, India, and Indonesia are major producers and consumers of saturated fatty acids, supported by abundant raw material availability. Rapid urbanization and rising disposable incomes are fueling demand for processed foods, cosmetics, and household care items. Government initiatives promoting industrial growth and bio-based chemicals are enhancing regional competitiveness. Strategic investments in oleochemical infrastructure are further strengthening supply chains.

Region with highest CAGR:

Over the forecast period, the North America region is anticipated to exhibit the highest CAGR, owing to increasing demand for sustainable and functional ingredients in food, cosmetics, and pharmaceuticals. The U.S. and Canada are witnessing a shift toward plant-based and clean-label formulations, driving uptake of bio-based saturated fatty acids. Regulatory frameworks supporting green chemistry and biodegradable inputs are accelerating market penetration. Innovation in specialty fatty acid derivatives for high-value applications is gaining traction. Producers are investing in advanced processing technologies and circular feedstock models to meet environmental targets.

Key players in the market

Some of the key players in Saturated Fatty Acid Market include BASF SE, Timur OleoChemicals, Croda International Plc, Eastman Chemical Company, KLK OLEO, Twin Rivers Technologies, Wilmar International Limited, P&G Chemicals, Oleon NV, Akzo Nobel N.V., Emery Oleochemicals, Pacific Oleochemicals Sdn Bhd, Godrej Industries Limited, IOI Oleochemicals, and VVF Ltd.

Key Developments:

In September 2025, Croda International Plc continues to invest in the evolving world of biopharmaceutical manufacturing where consistency and purity in ingredients are critical. For Croda, that focus has driven decades of investment in high purity excipient technology, most recently in the expansion of its Leek, UK site alongside continued investments in the USA and Japan to expand production of its Super Refined(TM) range.

In September 2025, Eastman and Doloop announced their partnership for sustainable beverage packaging that will help the industry take the next step toward a circular economy. They will unveil a groundbreaking 100% recycled PET (rPET)* beverage bottle with no compromises at Drinktec 2025, taking place September 15-19 in Munich, Germany.

Sources Covered:

  • Animal-Based Sources
  • Plant-Based Sources

Forms Covered:

  • Solid Saturated Fatty Acids
  • Liquid Saturated Fatty Acids

Grades Covered:

  • Food Grade
  • Pharmaceutical Grade
  • Industrial Grade

Distribution Channels Covered:

  • Direct Sales
  • Wholesale Distributors
  • Online Retail
  • Specialty Stores

Applications Covered:

  • Food Industry
  • Pharmaceuticals
  • Cosmetics & Personal Care
  • Industrial Uses
  • Other Applications

Regions Covered:

  • North America
    • US
    • Canada
    • Mexico
  • Europe
    • Germany
    • UK
    • Italy
    • France
    • Spain
    • Rest of Europe
  • Asia Pacific
    • Japan
    • China
    • India
    • Australia
    • New Zealand
    • South Korea
    • Rest of Asia Pacific
  • South America
    • Argentina
    • Brazil
    • Chile
    • Rest of South America
  • Middle East & Africa
    • Saudi Arabia
    • UAE
    • Qatar
    • South Africa
    • Rest of Middle East & Africa

What our report offers:

  • Market share assessments for the regional and country-level segments
  • Strategic recommendations for the new entrants
  • Covers Market data for the years 2024, 2025, 2026, 2028, and 2032
  • Market Trends (Drivers, Constraints, Opportunities, Threats, Challenges, Investment Opportunities, and recommendations)
  • Strategic recommendations in key business segments based on the market estimations
  • Competitive landscaping mapping the key common trends
  • Company profiling with detailed strategies, financials, and recent developments
  • Supply chain trends mapping the latest technological advancements

Free Customization Offerings:

All the customers of this report will be entitled to receive one of the following free customization options:

  • Company Profiling
    • Comprehensive profiling of additional market players (up to 3)
    • SWOT Analysis of key players (up to 3)
  • Regional Segmentation
    • Market estimations, Forecasts and CAGR of any prominent country as per the client's interest (Note: Depends on feasibility check)
  • Competitive Benchmarking
    • Benchmarking of key players based on product portfolio, geographical presence, and strategic alliances

Table of Contents

1 Executive Summary

2 Preface

  • 2.1 Abstract
  • 2.2 Stake Holders
  • 2.3 Research Scope
  • 2.4 Research Methodology
    • 2.4.1 Data Mining
    • 2.4.2 Data Analysis
    • 2.4.3 Data Validation
    • 2.4.4 Research Approach
  • 2.5 Research Sources
    • 2.5.1 Primary Research Sources
    • 2.5.2 Secondary Research Sources
    • 2.5.3 Assumptions

3 Market Trend Analysis

  • 3.1 Introduction
  • 3.2 Drivers
  • 3.3 Restraints
  • 3.4 Opportunities
  • 3.5 Threats
  • 3.6 Application Analysis
  • 3.7 Emerging Markets
  • 3.8 Impact of Covid-19

4 Porters Five Force Analysis

  • 4.1 Bargaining power of suppliers
  • 4.2 Bargaining power of buyers
  • 4.3 Threat of substitutes
  • 4.4 Threat of new entrants
  • 4.5 Competitive rivalry

5 Global Saturated Fatty Acid Market, By Source

  • 5.1 Introduction
  • 5.2 Animal-Based Sources
    • 5.2.1 Tallow
    • 5.2.2 Lard
  • 5.3 Plant-Based Sources
    • 5.3.1 Palm Oil
    • 5.3.2 Coconut Oil

6 Global Saturated Fatty Acid Market, By Form

  • 6.1 Introduction
  • 6.2 Solid Saturated Fatty Acids
  • 6.3 Liquid Saturated Fatty Acids

7 Global Saturated Fatty Acid Market, By Grade

  • 7.1 Introduction
  • 7.2 Food Grade
  • 7.3 Pharmaceutical Grade
  • 7.4 Industrial Grade

8 Global Saturated Fatty Acid Market, By Distribution Channel

  • 8.1 Introduction
  • 8.2 Direct Sales
  • 8.3 Wholesale Distributors
  • 8.4 Online Retail
  • 8.5 Specialty Stores

9 Global Saturated Fatty Acid Market, By Application

  • 9.1 Introduction
  • 9.2 Food Industry
  • 9.3 Pharmaceuticals
  • 9.4 Cosmetics & Personal Care
  • 9.5 Industrial Uses
  • 9.6 Other Applications

10 Global Saturated Fatty Acid Market, By Geography

  • 10.1 Introduction
  • 10.2 North America
    • 10.2.1 US
    • 10.2.2 Canada
    • 10.2.3 Mexico
  • 10.3 Europe
    • 10.3.1 Germany
    • 10.3.2 UK
    • 10.3.3 Italy
    • 10.3.4 France
    • 10.3.5 Spain
    • 10.3.6 Rest of Europe
  • 10.4 Asia Pacific
    • 10.4.1 Japan
    • 10.4.2 China
    • 10.4.3 India
    • 10.4.4 Australia
    • 10.4.5 New Zealand
    • 10.4.6 South Korea
    • 10.4.7 Rest of Asia Pacific
  • 10.5 South America
    • 10.5.1 Argentina
    • 10.5.2 Brazil
    • 10.5.3 Chile
    • 10.5.4 Rest of South America
  • 10.6 Middle East & Africa
    • 10.6.1 Saudi Arabia
    • 10.6.2 UAE
    • 10.6.3 Qatar
    • 10.6.4 South Africa
    • 10.6.5 Rest of Middle East & Africa

11 Key Developments

  • 11.1 Agreements, Partnerships, Collaborations and Joint Ventures
  • 11.2 Acquisitions & Mergers
  • 11.3 New Product Launch
  • 11.4 Expansions
  • 11.5 Other Key Strategies

12 Company Profiling

  • 12.1 BASF SE
  • 12.2 Timur OleoChemicals
  • 12.3 Croda International Plc
  • 12.4 Eastman Chemical Company
  • 12.5 KLK OLEO
  • 12.6 Twin Rivers Technologies
  • 12.7 Wilmar International Limited
  • 12.8 P&G Chemicals
  • 12.9 Oleon NV
  • 12.10 Akzo Nobel N.V.
  • 12.11 Emery Oleochemicals
  • 12.12 Pacific Oleochemicals Sdn Bhd
  • 12.13 Godrej Industries Limited
  • 12.14 IOI Oleochemicals
  • 12.15 VVF Ltd.

List of Tables

  • Table 1 Global Saturated Fatty Acid Market Outlook, By Region (2024-2032) ($MN)
  • Table 2 Global Saturated Fatty Acid Market Outlook, By Source (2024-2032) ($MN)
  • Table 3 Global Saturated Fatty Acid Market Outlook, By Animal-Based Sources (2024-2032) ($MN)
  • Table 4 Global Saturated Fatty Acid Market Outlook, By Tallow (2024-2032) ($MN)
  • Table 5 Global Saturated Fatty Acid Market Outlook, By Lard (2024-2032) ($MN)
  • Table 6 Global Saturated Fatty Acid Market Outlook, By Plant-Based Sources (2024-2032) ($MN)
  • Table 7 Global Saturated Fatty Acid Market Outlook, By Palm Oil (2024-2032) ($MN)
  • Table 8 Global Saturated Fatty Acid Market Outlook, By Coconut Oil (2024-2032) ($MN)
  • Table 9 Global Saturated Fatty Acid Market Outlook, By Form (2024-2032) ($MN)
  • Table 10 Global Saturated Fatty Acid Market Outlook, By Solid Saturated Fatty Acids (2024-2032) ($MN)
  • Table 11 Global Saturated Fatty Acid Market Outlook, By Liquid Saturated Fatty Acids (2024-2032) ($MN)
  • Table 12 Global Saturated Fatty Acid Market Outlook, By Grade (2024-2032) ($MN)
  • Table 13 Global Saturated Fatty Acid Market Outlook, By Food Grade (2024-2032) ($MN)
  • Table 14 Global Saturated Fatty Acid Market Outlook, By Pharmaceutical Grade (2024-2032) ($MN)
  • Table 15 Global Saturated Fatty Acid Market Outlook, By Industrial Grade (2024-2032) ($MN)
  • Table 16 Global Saturated Fatty Acid Market Outlook, By Distribution Channel (2024-2032) ($MN)
  • Table 17 Global Saturated Fatty Acid Market Outlook, By Direct Sales (2024-2032) ($MN)
  • Table 18 Global Saturated Fatty Acid Market Outlook, By Wholesale Distributors (2024-2032) ($MN)
  • Table 19 Global Saturated Fatty Acid Market Outlook, By Online Retail (2024-2032) ($MN)
  • Table 20 Global Saturated Fatty Acid Market Outlook, By Specialty Stores (2024-2032) ($MN)
  • Table 21 Global Saturated Fatty Acid Market Outlook, By Application (2024-2032) ($MN)
  • Table 22 Global Saturated Fatty Acid Market Outlook, By Food Industry (2024-2032) ($MN)
  • Table 23 Global Saturated Fatty Acid Market Outlook, By Pharmaceuticals (2024-2032) ($MN)
  • Table 24 Global Saturated Fatty Acid Market Outlook, By Cosmetics & Personal Care (2024-2032) ($MN)
  • Table 25 Global Saturated Fatty Acid Market Outlook, By Industrial Uses (2024-2032) ($MN)
  • Table 26 Global Saturated Fatty Acid Market Outlook, By Other Applications (2024-2032) ($MN)

Note: Tables for North America, Europe, APAC, South America, and Middle East & Africa Regions are also represented in the same manner as above.