1. Introduction
Oxygen therapy is fundamental in critical care and perioperative medicine to prevent insufficient oxygen levels (hypoxemia) and support organ function. However, supraphysiological arterial oxygen tensions (hyperoxemia) are frequently observed in routine clinical practice. While hypoxemia is carefully avoided, elevated arterial oxygen tension levels (P
aO
2) are often tolerated, despite accumulating evidence that hyperoxemia represents an undesirable exposure in critically ill patients [
1,
2,
3]. From a physiological perspective, once hemoglobin is fully saturated, additional oxygen is dissolved in plasma without further benefit for oxygen delivery, while experimental and clinical studies have linked excessive oxygen exposure to oxidative pathways and cellular injury [
4,
5]. Consequently, current guidelines recommend oxygen strategies that avoid both hypoxemia and unnecessary hyperoxemia [
6,
7,
8]. Nevertheless, in daily practice, liberal oxygen administration remains frequent [
1].
Peripheral oxygen saturation (S
pO
2) is widely used for continuous, non-invasive monitoring of oxygenation, but its ability to reflect arterial oxygen tension is limited at high saturation levels. Due to the plateau of the oxygen–hemoglobin dissociation curve, substantial increases in P
aO
2 may occur with little or no change in S
pO
2 once saturation exceeds approximately 95–97% [
9,
10]. This dissociation is further modulated by physiological factors such as temperature, 2,3-diphosphoglycerate, acid-base status, and carbon dioxide tension, all of which influence hemoglobin-oxygen affinity and thereby alter the relationship between S
pO
2 and P
aO
2. While temperature effects are generally relevant only at extreme values, the role of 2,3-Diphosphoglycerate, a glycolytic byproduct, is poorly understood and subject to variation due to factors such as diet, physical activity, chronic disease, and hypoxic conditions. Additionally, its routine clinical assessment is limited [
11]. Consequently, acid-base status and carbon dioxide tension remain the most practical and routinely monitored modulators in clinical settings [
12]. As a result, clinically acceptable S
pO
2 targets may conceal supraphysiological P
aO
2 levels, particularly in the presence of acidosis or altered respiratory physiology.
Although the determinants of oxygen transport are well established, real-world data quantifying how frequently hyperoxemia occurs across commonly used S
pO
2 targets, and how this probability is modified by blood pH, inspired oxygen fraction (F
iO
2), and severity of respiratory failure, remain limited. Prior studies have largely focused on outcome associations of different oxygenation strategies [
13,
14,
15,
16], but have not systematically characterized the physiological exposure to supraphysiological P
aO
2 across saturation targets in routine clinical practice. It remains unclear how diffusion limitation in advanced respiratory failure influences the likelihood of hyperoxemia at given S
pO
2 and F
iO
2 levels.
We therefore performed a large retrospective observational analysis in ICU patients to characterize the relationship between SpO2, PaO2, pH, FiO2, and respiratory failure severity using high-resolution clinical data. Our primary objective was to quantify the probability of exceeding predefined PaO2 thresholds across SpO2 ranges and to assess how acid-base status and respiratory failure modify this relationship. While overall exposure patterns were described for the full cohort, detailed analyses focused on mechanically ventilated patients, in whom hyperoxemia was most prevalent. By providing a physiologically grounded, exposure-based assessment of oxygenation patterns, this study aims to inform more precise interpretation of SpO2 targets in critically ill patients.
2. Materials and Methods
2.1. Study Design and Setting
We conducted a retrospective cohort study at the University Hospital Zurich, a tertiary care center, between November 2017 and December 2022. Ethical approval was granted by the cantonal ethics committee of Zurich (BASEC No. 2019-02015). Patients admitted to the intensive care unit (ICU), including both medical and surgical patients requiring ICU-level saturation monitoring, were screened.
2.2. Study Population
Adults (≥18 years) were eligible if they did not object further use of health data, had continuous SpO2 monitoring and at least one matched arterial blood gas measurement. Patients receiving extracorporeal membrane oxygenation or with implausible physiologic values were excluded. For reference, patients never treated with oxygen were included to assess age-related changes in oxygenation. The final cohort comprised 21,406 patients.
2.3. Data Collection
Clinical data were extracted from the institutional Patient Data Management System, which records vital signs and laboratory results at one-minute intervals. Collected variables included SpO2, PaO2, arterial carbon dioxide tension (PaCO2), arterial pH, FiO2, arterial hemoglobin saturation (SaO2), demographics, comorbidities, and severity of Acute Respiratory Distress Syndrome (ARDS). SpO2 was continuously recorded, whereas arterial blood gas parameters were available at discrete sampling time points.
Arterial blood gas measurements were aligned with the median SpO2 and FiO2 recorded in the preceding five minutes. Details on signal alignment and quality control are provided in the online data supplement.
2.4. Definitions
Hyperoxemia was defined using predefined P
aO
2 thresholds (>120 mmHg and >150 mmHg), chosen to reflect commonly used supraphysiological ranges in the critical care literature [
2,
17,
18]. Arterial blood gases were stratified by pH (normal 7.35–7.45, acidotic < 7.35, alkalotic > 7.45) and P
aCO
2 (hypocapnic < 35 mmHg, normocapnic 35–45 mmHg, hypercapnic > 45 mmHg). The P
aO
2/F
iO
2 ratio was calculated, and acute respiratory distress syndrome severity was defined according to the Berlin criteria [
19]. ARDS severity was used to describe the degree respiratory failure and diffusion impairment, rather than as a marker of overall disease severity or outcome.
2.5. Outcomes
The primary outcome was the frequency and probability of exceeding predefined PaO2 thresholds across SpO2 ranges. Secondary outcomes included the modifying effects of pH, FiO2, age, and severity of acute respiratory distress syndrome.
2.6. Stratification and Subgroup Analyses
In our study, patients were categorized based on their oxygen treatment status, with three primary groups: mechanically ventilated patients (invasive and non-invasive), patients receiving oxygen therapy (nasal cannula, high-flow nasal cannula, face mask), and patients without supplemental oxygen. These groups were not mutually exclusive, as each patient had multiple measurements across different time points, and their treatment modality could change over time. This means that a patient could, at different times, fall into more than one group based on the oxygen therapy or ventilation they received at that specific time. In contrast, for the age-related analysis, we included only patients who were never treated with oxygen.
The numbers of paired measurements and corresponding patients in each group were as follows:
- -
mechanically ventilation: 443,225 paired measurements from 17,439 patients
- -
oxygen therapy: 208,136 measurements from 15,439 patients
- -
no supplemental oxygen: 69,227 measurements from 12,332 patients
- -
never treated with oxygen: 4131 measurements from 1140 patients (age-related control group)
Because hyperoxemia was uncommon across the non-mechanically ventilated groups, detailed stratified analyses were restricted to mechanically ventilated patients to ensure sufficient exposure prevalence.
2.7. Statistical Analysis
Clinical characteristics were summarized descriptively. Hyperoxemia prevalence was assessed using patient-level summary statistics during the respective treatment period. Distributions of PaO2 and FiO2 were analyzed using histograms and cumulative distribution functions. In mechanically ventilated patients, where hyperoxemia was sufficiently prevalent to allow stable probability estimates, the joint relationship between oxygen exposure and oxygen saturation was analyzed using FiO2 and SpO2, and contour plots stratified by pH category were used to display absolute probabilities of exceeding predefined PaO2 thresholds. Analyses were performed with MATLAB R2024b.
3. Results
3.1. Patient Characteristics
The cohort included 21,406 adults with 717,064 paired S
pO
2–arterial blood gas measurements (see
Table S1 in the Supplementary Materials). Most patients were aged 60–80 years, and 62% were male. Among the medical and surgical ICU patients included in the study, cardiovascular disease was the most common primary admission diagnosis, followed by malignancy and neurological disorders. Acute respiratory distress syndrome was present in 57% of patients, with 15% classified as mild, 21% as moderate, and 21% as severe (
Table 1).
In the subgroup of patients who never received oxygen therapy during their stay (
n = 1140), the mean P
aO
2 was 103 mmHg. In these patients, P
aO
2 values declined slightly with age, but the reduction was less pronounced than predicted by Sorbini’s formula [
20] (see
Figure S3 in the Supplementary Materials).
3.2. Prevalence of Hyperoxemia
To distinguish between transient oxygen peaks and sustained exposure, hyperoxemia prevalence was assessed using patient-level summary statistics, specifically the median and maximum P
aO
2 observed during the treatment period (
Figure 1). Median P
aO
2 values characterize sustained oxygen exposure, whereas maximum P
aO
2 values capture short-lived peaks, often occurring during procedures or acute clinical events.
When summarized using median P
aO
2 values, patients without supplemental oxygen and those receiving oxygen showed narrow distributions centered within physiological ranges, with only a small fraction exceeding the predefined hyperoxemia thresholds. In contrast, mechanically ventilated patients exhibited a markedly right-shifted distribution. More than half of mechanically ventilated patients had a median P
aO
2 above 120 mmHg, indicating sustained exposure to supraphysiological arterial oxygen tensions over a substantial portion of their monitored course (
Figure 1A,C). Approximately one third exceeded a median P
aO
2 above 150 mmHg, reflecting prolonged moderate hyperoxemia at the patient level.
Analysis of maximum P
aO
2 values revealed a distinct and complementary pattern. While non ventilated patients with oxygen support rarely exceeded moderate hyperoxemia thresholds, mechanically ventilated patients frequently experienced brief but pronounced oxygen peaks (
Figure 1B,D). Approximately 80% of mechanically ventilated patients reached maximum P
aO
2 values above 150 mmHg, with rare extreme values extending beyond 400 mmHg. In contrast, supraphysiological P
aO
2 values observed in patients without documented oxygen therapy occurred almost exclusively as isolated maxima and likely reflect technical or documentation-related artifacts rather than sustained physiological exposure. These values did not influence patient-level median P
aO
2 and were not considered further (considered implausible physiologic values).
3.3. FiO2 Exposure Patterns
Inspired oxygen fraction distributions in mechanically ventilated patients demonstrated distinct exposure patterns when summarized at the patient level (
Figure 2). Median F
iO
2 values showed a bimodal distribution with peaks at approximately 35–40% and 80–90%, indicating two commonly employed oxygenation strategies during mechanical ventilation (
Figure 2A,C). While the lower peak likely reflects routine maintenance oxygenation, the higher peak suggests sustained use of elevated F
iO
2 levels in a substantial proportion of patients.
Analysis of maximum F
iO
2 values revealed an even more pronounced right-skewed distribution (
Figure 2B,D). More than half of mechanically ventilated patients were exposed to F
iO
2 levels above 80% at least once during their ICU stay, and approximately one third reached a maximum F
iO
2 of 100%. These high F
iO
2 values most plausibly reflect short-term escalation during acute clinical events, procedures, or preoxygenation, rather than continuous baseline therapy.
The median and maximum FiO2 distributions highlight a clinically relevant separation between prolonged oxygen exposure and transient oxygen peaks, analogous to the patterns observed for PaO2. Importantly, these findings demonstrate that exposure to high inspired oxygen fractions is common in routine ICU practice, providing a physiological context for subsequent analyses examining how FiO2 interacts with SpO2 and blood pH to determine the probability of supraphysiological arterial oxygen tensions.
3.4. Effect of FiO2 Across SpO2 Target Ranges
Across mechanically ventilated patients, the relationship between inspired oxygen fraction and arterial oxygen tension differed markedly by S
pO
2 target range (
Figure 3). When S
pO
2 was maintained between 96–97%, P
aO
2 values remained largely within physiological limits across a wide range of F
iO
2 levels, with only a small proportion exceeding the predefined hyperoxemia thresholds. Even at higher F
iO
2 levels, P
aO
2 distributions in this saturation range showed limited rightward extension.
In contrast, SpO2 targets of 98–99% were associated with a pronounced upward shift in PaO2 distributions that became progressively more evident with increasing FiO2. At these saturation levels, PaO2 frequently exceeded the mild hyperoxemia threshold and, at moderate to high FiO2, often surpassed the moderate threshold. This effect was further amplified at SpO2 of 100%, where PaO2 values increased steeply and displayed substantial variability across all but the lowest FiO2 categories.
3.5. Influence of pH on the SpO2-PaO2 Relationship
Acid–base status exerted a strong and systematic influence on the relationship between arterial oxygen saturation and arterial oxygen tension (
Figure 3). When P
aO
2 was plotted against S
aO
2 (
Figure 4A), a clear rightward displacement of the oxygen–hemoglobin dissociation curve was observed under acidotic conditions, whereas alkalosis was associated with lower P
aO
2 values at comparable saturation levels.
At a fixed SaO2 of 99%, median PaO2 differed markedly across pH groups (Kruskal–Wallis p < 10−300). Acidotic patients (pH < 7.35) exhibited a median PaO2 of 154.5 mmHg (interquartile range [IQR] 132.0–198.8 mmHg; n = 23,159), compared with 126.0 mmHg (IQR 115.5–141.8 mmHg; n = 73,509) in the normophysiological pH group and 117.0 mmHg (IQR 108.0–128.3 mmHg; n = 28,901) under alkalotic conditions. These differences became even more pronounced at SaO2 = 100% (Kruskal–Wallis p < 10−300), where median PaO2 reached 258.0 mmHg (IQR 201.0–317.3 mmHg; n = 8408) in acidotic patients, compared with 220.5 mmHg (IQR 160.5–291.0 mmHg; n = 25,341) in the normophysiological group and 164.3 mmHg (IQR 135.8–245.3 mmHg; n = 8802) in alkalotic patients. Thus, identical arterial oxygen saturations were associated with substantially different, and increasingly supraphysiological, PaO2 values depending on pH, particularly within the saturation plateau.
When P
aO
2 was referenced to S
pO
2 (
Figure 4B), similar directional trends across pH groups were present, but the separation between groups appeared attenuated and the overall dispersion visually compressed. This apparent smoothing is explained by the behavior of pulse oximetry bias illustrated in
Figure 4C. Although the median difference between S
pO
2 and S
aO
2 remained close to zero across the saturation range, both the interquartile range and the tail dispersion widened progressively with increasing S
aO
2, most prominently under acidotic conditions. Consequently, at high saturation levels, S
pO
2 increasingly masked substantial variability and elevation in P
aO
2, limiting its ability to reliably reflect arterial oxygen tension.
This effect is summarized in
Figure 4D, which shows the difference in P
aO
2 relative to the normophysiological pH group across the saturation range. The pH-dependent divergence increased sharply within the saturation plateau, highlighting that, small differences in measured saturation corresponded to large and clinically relevant differences in arterial oxygen tension.
Detailed boxplot representations and group-wise distributions at fixed S
aO
2 and S
pO
2 levels are provided in the
Supplementary Material (Figure S4), supporting the robustness of these findings across the full range of observed data.
3.6. Absolute Probability Estimates
Contour plots were used to visualize the joint relationship between S
pO
2, F
iO
2, and the probability of exceeding predefined P
aO
2 thresholds in mechanically ventilated patients (
Figure 5). Across the examined range, probability increased progressively with both higher S
pO
2 and higher F
iO
2; however, the increase was non-linear and occurred over relatively narrow S
pO
2 intervals. In particular, probability contours showed a steep transition beginning at S
pO
2 values of approximately 97–98%, beyond which small increments in saturation were associated with large increases in the probability of hyperoxemia across a wide range of F
iO
2 levels.
The contour plots further delineated contiguous regions of low and high probability. At lower SpO2 targets, extended areas remained below a 10% probability threshold even at moderate FiO2 levels, whereas at higher SpO2 targets, probability increased rapidly and exceeded 30–50% across commonly used FiO2 ranges. These patterns were consistent across probability thresholds depicted in 10% increments.
Stratified contour plots demonstrated that these probability surfaces were systematically shifted by blood pH (
Figures S1 and S2 in the Supplementary Materials). Compared with normal pH, acidotic conditions were associated with leftward and upward displacement of probability contours, indicating higher probabilities of hyperoxemia at lower S
pO
2 and F
iO
2 combinations. In contrast, alkalotic conditions shifted contours toward higher S
pO
2 and F
iO
2 values. Based on these contour-derived probability surfaces,
Table 2 summarizes F
iO
2 limits stratified by S
pO
2 and pH corresponding to an absolute probability of hyperoxemia below 10%.
At high inspired oxygen fractions (F
iO
2 > 0.8), the probability of hyperoxemia did not continue to increase monotonically but instead plateaued or declined in the overall cohort. To clarify this pattern, P
aO
2-S
pO
2 density distributions were examined across strata of ARDS severity (
Figure 6).
Patients without ARDS and those with mild ARDS most frequently exceeded the predefined hyperoxemia thresholds, with density distributions extending into supraphysiological PaO2 ranges at high SpO2 values. In contrast, patients with severe ARDS demonstrated markedly compressed PaO2 distributions despite high SpO2 and FiO2 exposure, rarely reaching PaO2 levels associated with hyperoxemia. Patients with moderate ARDS showed intermediate patterns between these extremes.
4. Discussion
This large retrospective analysis of more than 700,000 paired SpO2–arterial blood gas measurements from over 21,000 critically medical and surgical patients provides a detailed characterization of arterial oxygen exposure in routine clinical practice. Rather than evaluating clinical outcomes, our study focuses on the physiological conditions under which supraphysiological arterial oxygen tensions occur and how commonly used saturation targets interact with inspired oxygen fraction, acid-base status, and respiratory failure severity grades. Several findings emerge that extend prior observations and help contextualize current oxygenation practices.
A first key observation is the strong association between high peripheral oxygen saturation targets and the probability of hyperoxemia. Across a wide range of clinical conditions, S
pO
2 values ≥98% were consistently associated with supraphysiological P
aO
2 levels, whereas a target range of 96–97% was generally associated with P
aO
2 values below commonly used hyperoxemia thresholds (
Figure 3). Although this saturation range is widely considered “normal” in clinical practice, our data demonstrate that small differences within the upper plateau of the oxygen–hemoglobin dissociation curve translate into substantial differences in arterial oxygen exposure. This finding does not contradict established physiological principles but quantifies their impact under real-world conditions and across a large and heterogeneous ICU population.
Inspired oxygen fraction emerged as a major determinant of arterial oxygen exposure, not only through its absolute level but also through the duration and variability of exposure. The bimodal F
iO
2 distribution observed in mechanically ventilated patients, with peaks around 35–40% and 80–90%, reflects common management strategies, including routine oxygen supplementation and short-term escalation during procedures or acute deterioration (
Figure 2). Importantly, our analysis distinguishes between sustained oxygen exposure and transient F
iO
2 peaks, showing that hyperoxemia is not limited to brief extremes but frequently reflects prolonged exposure at commonly applied F
iO
2 levels. These findings emphasize that arterial hyperoxemia can occur even in the absence of exceptionally high F
iO
2 when saturation targets are set near the upper plateau of hemoglobin saturation.
Blood pH acted as a systematic physiological modifier of arterial oxygen exposure. Acidosis was associated with higher P
aO
2 values at equivalent S
pO
2 or S
aO
2 levels, consistent with rightward shifts in the oxygen–hemoglobin dissociation curve. As a result, hyperoxemia occurred at lower saturation targets under acidotic conditions compared with normal or alkalotic pH. This effect was not confined to extreme values but was evident across commonly encountered clinical ranges (
Figure 4). While the influence of pH on hemoglobin-oxygen affinity is well established, our findings demonstrate how this interaction translates into differences in arterial oxygen tension under routine ICU monitoring conditions, where S
pO
2 is often used as the primary guide for oxygen titration.
The probability-based contour analyses integrate these observations by illustrating how S
pO
2 and F
iO
2 jointly determine the likelihood of exceeding predefined P
aO
2 thresholds (
Figure 5). Rather than identifying single cutoffs, these analyses delineate contiguous regions of low and high probability across the S
pO
2-F
iO
2 plane. Small increments in S
pO
2 within the upper saturation range were associated with steep increases in hyperoxemia probability, particularly at moderate to high F
iO
2 levels. Stratification by pH demonstrated systematic shifts in these probability surfaces, further highlighting that identical saturation targets may correspond to markedly different arterial oxygen exposures depending on physiological context (
Figures S1 and S2). The F
iO
2 ranges summarized in
Table 2 are derived directly from these probability surfaces and should be interpreted as exposure-associated ranges rather than prescriptive targets.
An important and potentially counterintuitive finding concerns the relationship between respiratory failure severity and hyperoxemia. Patients without ARDS or with mild ARDS most frequently exceeded hyperoxemia thresholds, whereas patients with severe ARDS rarely achieved supraphysiological P
aO
2 values despite high F
iO
2 exposure (
Figure 6). This pattern reflects profound diffusion limitation in severe ARDS rather than reduced oxygen delivery intensity. Consequently, hyperoxemia should not be interpreted as a marker of disease severity; instead, it appears most likely in patients with relatively preserved gas exchange who are exposed to liberal oxygenation strategies. This observation helps explain why hyperoxemia risk plateaued or declined at very high F
iO
2 levels in the overall cohort and underscores the importance of considering respiratory severity when interpreting arterial oxygen exposure (
Figure 5).
Age had only a minor influence on arterial oxygen tension in patients without supplemental oxygen, with P
aO
2 declining less than predicted by classical reference equations [
20] (
Figure S3 in the Supplementary Materials). Although aging is associated with impaired alveolar diffusion [
21,
22,
23], P
aO
2 values across age groups in the present analysis remained well below the predefined hyperoxemia thresholds, supporting the appropriateness of using fixed P
aO
2 cutoffs. These findings suggest that age-specific adjustments are unlikely to meaningfully improve the identification of hyperoxemia or the interpretation of arterial oxygen exposure in routine ICU practice.
Our findings should be viewed in the context of prior randomized controlled trials evaluating different oxygenation strategies [
3,
13,
14,
15,
16]. Most of these trials compared fixed saturation or P
aO
2 targets and assessed clinical outcomes, with mixed or inconclusive results. In contrast, our study does not evaluate treatment strategies or outcomes but characterizes physiological oxygen exposure under routine care. By focusing on hyperoxemia as an exposure rather than on oxygen targets as interventions, our analysis provides complementary information that may help interpret why outcome differences have been difficult to demonstrate in heterogeneous patient populations.
It is important to emphasize that elevated oxygen saturation does not inherently imply oxidative injury. Oxidative stress is thought to arise when increases in dissolved arterial oxygen exceed physiological buffering capacity, rather than from hemoglobin-bound oxygen itself [
5,
24,
25,
26,
27]. The absence of outcome differences in trials comparing P
aO
2 within physiological ranges reinforces the rationale for making this distinction [
14,
28]. Our study did not measure biomarkers of oxidative stress or tissue injury; therefore, mechanistic implications remain inferential and are based on established physiological and experimental evidence [
17]. The present findings should thus be interpreted as identifying conditions associated with increased arterial oxygen exposure rather than demonstrating downstream biological effects.
Several limitations merit consideration. The retrospective design precludes causal inference, and oxygen delivery practices may reflect institution-specific routines. Arterial blood gases were obtained intermittently, and although careful temporal alignment was performed, short-lived fluctuations in oxygenation may not be fully captured. Our analysis addresses systemic arterial oxygen exposure and does not capture local intra-alveolar oxygen toxicity in severe ARDS [
29]. The selection of thresholds was guided by the existing literature. Currently, no standardized cutoff values have been established for degrees of hyperoxemia, and there is considerable variability across studies [
30]. For this reason and based on physiological rationale and previous publications [
2,
17,
18] hyperoxemia was arbitrarily defined as mild and moderate when P
aO
2 exceeded 120 mmHg and 150 mmHg, respectively. Additionally, the study population was predominantly Caucasian, which limits the generalizability of our findings regarding S
pO
2 accuracy in individuals with darker skin pigmentation [
31]. Although oxidative stress is mechanistically linked to hyperoxemia [
25,
32,
33,
34,
35], our results, derived from an observational dataset, should be interpreted as reflecting physiological plausibility rather than direct causality. Finally, although both medical and surgical patients were included, detailed analyses focused on mechanically ventilated patients, in whom hyperoxemia was most prevalent.