| Journal of Information and Communications Technology:
Algorithms, Systems and Applications
Received: 23 May 2026; Revised: 02 August 2026; Accepted: 10 August 2026; Published Online: 11 August 2026.
J. Inf. Commun. Technol. Algorithms Syst. Appl., 2025, 2(3), 26311 | Volume 2 Issue 3 (September 2026) | DOI: https://doi.org/10.64189/ict.26311
© The Author(s) 2026
This article is licensed under Creative Commons Attribution NonCommercial 4.0 International (CC-BY-NC 4.0)
Green Computing and Artificial Intelligence
Infrastructure: Design, Mathematical Modeling, and
Experimental Evaluation of the AI Environmental
Impact Framework (AI-EIF)
Sirajali A. Nagalpara
¹,*
, and Ahesanali Dadavala²
1 I.T. Sheliya Jafari BCA College, Hemchandracharya North Gujarat University, Patan, Gujarat, 384265, India
2 Department of Computer Science, Hemchandracharya North Gujarat University, Patan, Gujarat, 384265, India
*Email: sirajali.bca@maktabahjafariyah.org (Sirajali A. Nagalpara)
Abstract
The rapid expansion of artificial intelligence (AI) systems has introduced substantial yet largely unquantifiable
environmental costs. Existing green computing standards such as Power Usage Effectiveness (PUE), Carbon
Usage Effectiveness (CUE), and Software Carbon Intensity (SCI) were developed for legacy data centers and fail
to capture the multi-faceted ecological footprint of modern AI workloads. To address this limitation, this paper
introduces the AI Environmental Impact Framework (AI-EIF), a novel four-pillar framework combining energy
consumption, carbon emissions, resource depletion, and standardized measurement metrics. Mathematically
formalized through 10 core equations, AI-EIF is operationalized via the AI-EIF-Eval algorithm with an efficient
computational complexity of O (k * p). Experimental validation conducted on the Google Cluster Trace v3
dataset spanning 3,847 AI-class workloads across eight cluster configurations demonstrates that AI-EIF-Eval
achieves 94.3% measurement accuracy, surpassing SCI, CarbonTracker, and MLPerf-Energy by 15.7, 13.1, and
10.6 percentage points, respectively. Application of the framework yielded mean reductions of 38.4% in energy
consumption, 41.2% in carbon emissions, and 22.7% in water usage, while driving a 47.3% increase in the
composite GreenFLOPS Index. AI-EIF is unique in introducing cross-dimensional linkage (CDL) modelling, part
of the 9-metric Green AI Metrics Suite (GAMS), and introducing a composite GreenFLOPS scoring index as the
first unified environmental benchmarking tool for AI infrastructure. Comparative analysis to ten frameworks
existing in the literature shows that AI-EIF has a dimensional coverage of 5.0/5.0, while all the rest have a
maximum of 3.0/5.0. These contributions provide a robust basis for sustainable AI policy, benchmarking and
regulation.
Keywords: Green computing; AI infrastructure; Environmental impact framework; Energy efficiency; Sustainable AI;
AI-EIF.
1. Introduction
One of the most significant 21st century technological advances is the rise of large-scale systems of artificial
intelligence. AI can provide unprecedented productivity, scientific advances, and economic value, ranging from
generative language models to real-time computer vision solutions. But this computational revolution comes at
a heavy and poorly characterized ecological price tag that is the subject of serious academic inquiry. The CO2
equivalent of training a single large language model is greater than 280 tonnes, which is equivalent to five typical
cars being driven for their lifetime.
[1]
In 2023, global use of electricity in data centres was 200-250 TWh, and is
expected to double by 2026.
[2]
In addition to energy, AI facilities use billions of litres of fresh water each year,
rare earth minerals in creating hardware, and produce increasing amounts of electronic waste that account for
over 57 million metric tonnes of waste each year globally.
[3]
However, despite this magnitude of environmental
impact, there is no single agreement on the metrics to measure AI's environmental footprint.
[4]
This gap is not just learning related. If there are no consistent, complete metrics, then AI developers cannot
measure the environmental performance, operators cannot prioritize what they need to optimize, and
policymakers cannot know what and how to regulate. The current green computing definitions and concepts
are structurally inadequate to address this challenge.
[5]
PUE and WUE are used to measure efficiency at the
facility level, but are unable to allocate costs to individual AI workloads.
[6,7]
The SCI specification takes into
account operational carbon but does not consider energy efficiency, water usage or hardware life cycle
impacts.
[8]
There are tools like CarbonTracker which focus on training-phase Scope 2 emissions, but have no
theoretical basis and are not cross-phase.
[9]
What is missing is an approach that explicitly models cross-
dimensional interactions, such as the impact of the adoption of renewable energy on water usage, or the
embodied carbon of hardware longevity decisions and their operational benefits.
This paper aims to tackle these limitations by introducing the AI Environmental Impact Framework (AI-EIF).
This second version of the manuscript provides the following five enhancements over the previous version, as
requested by the reviewers: (1) Ten mathematical formulations for the six GAMS metrics and the GreenFLOPS
Index; (2) the AI-EIF-Eval algorithm with pseudocode and complexity analysis; (3) experimental validation on
Google Cluster Trace v3 with quantitative results across the six performance dimensions; (4) comparative study
with the existing ten frameworks; and (5) a dedicated part on novelty and contributions, clearly distinguishing
from the previous work. The paper is organized as follows: Section 2 presents a literature review that covers
the related work. Section 3 contains theory background.
[10]
In Section 4, the AI EIF framework and
mathematical model are defined. In section 5, you will express novelty and contributions. The AI-EIF-Eval
algorithm is discussed in Section 6. The experimental setup is described in section 7. Results and discussion are
given in section 8. Comparative analysis is given in Section 9. Section 10 is on the policy implications. Future
work is included as the conclusion of Section 11.
2. Literature review
2.1 Green computing and data centre efficiency
The US EPA Energy Star program in 1992 was the origin of green computing, which is the environmentally
responsible design, production, utilization, and disposal of computing resources.
[11,12]
In 2007 the Green Grid
presented a new metric for data centres, known as the PUE, a ratio of the total energy used by a facility and IT
equipment became the de facto standard for data centre efficiency.
[6]
Later measures included carbon (CUE) and
water (WUE).
[7]
Dayarathna et al. surveyed more than 200 of these data centre energy models, and none were
specific to AI workloads, which is further evidence of a structural measurement gap.
[13]
Masanet et al. showed
that for many years the efficiency improvements have more than compensated for the growth of demand while
cautioning that AI's computational demands are threatening this.
[14]
2.2 Environmental impact of AI systems
Strubell et al. sparked interest in academia by calculating 284 tCO2e for training a single large NLP model.
[1]
There was significant variation found by Patterson et al. between hardware and location. Schwartz et al.
presented the Red AI vs Green AI paradigm.
[15,16]
Henderson et al. called for “systematic” reporting standards.
[17]
Gupta et al. demonstrated that in the case of inference-dominated deployments, the amount of carbon
embedded in the hardware accounts for 5080% of the total LC emissions. Luccioni et al. did an empirical
lifecycle analysis of a 176B-parameter model.
[18,19]
According to Li et al. the training process for GPT-3 requires
~700,000 liters of fresh water.
[20]
Dhar put AI emissions into the broader picture of ICT. Carbon accounting
wasn't the only hidden impact that was identified by Ligozat et al.; they also found impacts of land use and
hardware toxicity.
[21,22]
2.3 Existing measurement tools and their limitations
There are tools that can estimate Scope 2 carbon during training, such as CarbonTracker and the ML Emissions
Calculator
which do not have theoretical foundations, nor do they span across different phases.
[9,23]
Bannour et
al. identified some significant methodological inconsistencies between and within the NLP carbon tools.
[24]
Dodge et al. showed that the carbon intensity of clouds is three orders of magnitude different from place to
place.
[25]
For example, the systematic review by Verdecchia et al. which aggregated 98 green AI studies found
that there is no unified framework and methodology in the field.
[26]
Kaack et al. showed that AI is a key emitter
and potential enabler of climate mitigation.
[27]
AI-EIF brings four-pillar coverage for a single framework, cross-
dimensional linkage modelling and composite scoring which no reviewed framework offers.
3. Theoretical foundations
3.1 Lifecycle Assessment (LCA) theory
LCA, as standardized in ISO 14040 and 14044 assesses environmental impacts throughout the entire life cycle
of a product, from raw material extraction through manufacturing, use and end-of-life disposal.
[28]
AI-EIF
implements a cradle-to-grave boundary by covering hardware production (including semiconductor fabrication
and extraction of rare earth minerals), training, inference, storage and end-of-life management. AI-EIF's LCA
functional unit is a “normalized” AI computational throughput: one TeraFLOP-second (TFLOPS), allowing
systems to be compared on a consistent performance level.
3.2 Industrial ecology
Industrial Ecology examines material and energy flows through industrial systems to minimize environmental
externalities.
[29]
AI-EIF applies this systemic perspective to conceptualize AI infrastructure as an interconnected
socio-technical system where interventions in one environmental dimension produce cascading effects in
others. This motivates the Cross-Dimensional Linkage (CDL) layer in AI-EIF, which models such trade-offs
explicitly.
3.3 Ecological Modernization Theory (EMT)
EMT posits that technological innovation and institutional reform can achieve environmental sustainability
within existing economic structures.
[30]
AI-EIF is informed by EMT's framing of green technology as a source of
competitive advantage rather than a performance constraint. EMT's emphasis on multi-actor governance -
spanning firms, regulators, and standards bodies - informs the policy recommendations in Section 10.
4. AI-EIF framework and mathematical model
4.1 Notation and variable definitions
Table 1 defines all variables used in the AI-EIF mathematical model. All metrics are defined with respect to the
LCA functional unit of one TFLOPS of normalized AI computational output.
Table 1: AI-EIF mathematical notation and variable definitions
Symbol
Definition
Unit
E_train
Total energy consumed during model training
kWh
E_inf
Total energy consumed during inference phase
kWh
E_IT
Total IT equipment energy in facility
kWh
E_fac
Total facility energy (= PUE × E_IT)
kWh
ΔP_bench
Benchmark performance gain from training
Points
Q
Total inference requests served
Requests
PUE
Power Usage Effectiveness (E_fac / E_IT)
Dimensionless
MEF
Marginal Emission Factor of electricity grid
kg CO2e/kWh
C_op
Annual operational carbon emissions
kg CO2e
C_emb
Embodied carbon of hardware (full lifecycle)
kg CO2e
W_cool
On-site cooling water consumption
Litres
W_gen
Upstream electricity generation water
Litres
m_i
Mass of mineral i in hardware system
kg
c_i
Criticality score of mineral i (EU CRM list)
Scale 15
T / T_d
Service period / design lifetime
Years
TFLOPS
Peak computational throughput
TeraFLOPS
w_i
Dimension weight in GreenFLOPS (Σw_i = 1)
Dimensionless
AWF
AI Workload Fraction (E_AI / E_IT)
Dimensionless
G
GreenFLOPS composite environmental index
TFLOPS/impact
4.2 Pillar I - Energy consumption
4.2.1 Computational Energy Intensity (CEI)
CEI quantifies training energy cost per unit of model performance improvement:
CEI = E_train / ΔP_bench (1)
Lower CEI indicates more energy-efficient training. For a 100B-parameter model (E_train = 1.2×10⁶ kWh,
ΔP_bench = 4.2 points): CEI = 285,714 kWh/point.
4.2.2 Inference Energy Efficiency (IEE)
IEE measures useful throughput per unit of inference energy:
IEE = Q / E_inf (2)
INT8 quantization reduces E_inf by 4060% at marginal accuracy cost, directly improving IEE. Geographic
scheduling can further improve effective IEE by up to 30×.
[25]
4.2.3 AI Workload Fraction (AWF)
AWF isolates the proportion of total IT energy attributable to AI workloads:
AWF = E_AI / E_IT (3)
Combined with PUE, total facility AI-attributed energy is: E_AI_fac = PUE × E_IT × AWF.
4.3 Pillar II - Carbon emissions
4.3.1 Scope 2 Operational carbon
Operational carbon from purchased electricity is computed using marginal emission factors:
C_op = E_fac × MEF_grid (4)
AI-EIF mandates MEFs rather than average emission factors, as MEFs accurately reflect incremental AI demand
impact on grid dispatch. For E_fac = 1.56×10⁶ kWh and MEF = 0.45 kg CO2e/kWh: C_op = 702 tCO2e.
[31]
4.3.2 Embodied Carbon Ratio (ECR)
ECR quantifies hardware manufacturing emissions relative to total lifecycle carbon:
ECR = C_emb / (C_emb + C_op × T) (5)
For a 1,000-GPU cluster (C_emb = 150 tCO2e, C_op = 702 tCO2e/yr, T = 4 yr): ECR = 0.051. For inference-
dominated deployments, ECR rises to 0.380.61, confirming Gupta et al.'s finding.
[18]
4.4 Pillar III - Resource depletion
4.4.1 Water usage effectiveness - direct and lifecycle
AI-EIF disaggregates WUE into direct (on-site) and lifecycle (including generation) components:
WUE_direct = W_cool / E_IT (6)
WUE_lifecycle = (W_cool + W_gen) / E_IT ... (7)
Thermoelectric generation yields W_gen factors of 1.84.0 L/kWh, substantially increasing lifecycle WUE
relative to direct WUE.
[20]
4.4.2 Material Criticality Score (MCS)
MCS quantifies criticality-weighted mineral demand per TFLOPS of AI output:
MCS = Σ_i (m_i × c_i) / TFLOPS (8)
Criticality scores c_i are drawn from the EU Critical Raw Materials list.
[32]
Higher MCS signals greater supply
chain environmental and geopolitical risk per unit of AI computation.
4.4.3 Hardware Longevity Index (HLI)
HLI tracks the fraction of hardware design lifetime utilized, weighted by throughput efficiency:
HLI = (T / T_d) × (TFLOPS_actual / TFLOPS_max) (9)
HLI approaching 1.0 indicates full lifecycle utilization. Rapid AI hardware obsolescence typically yields HLI =
0.30.5, representing significant premature retirement.
[18]
4.5 Pillar IV - GreenFLOPS Composite Index (Objective Function)
The primary optimization objective of AI-EIF is to maximize the GreenFLOPS Index G - normalized AI
computational throughput per unit of aggregate weighted environmental impact:
Maximize: G = TFLOPS / Σ_i ( w_i × M_norm_i ) (10)
where M_norm_i = M_i / R_i is the i-th GAMS metric normalized to reference baseline R_i; minimization metrics
(CEI, C_op, ECR, WUE_direct, WUE_lifecycle, MCS) are inverted before use; maximization metrics (IEE, HLI) are
used directly; and w_i are stakeholder-defined weights (Σw_i = 1, default w_i = 1/7). A higher GreenFLOPS score
indicates greater computational output per unit of aggregate environmental impact. The complete specification
of the proposed Green AI Metrics Suite (GAMS) is presented in Table 2.
Table 2: Green AI Metrics Suite (GAMS)-Complete specification
Metric
Pillar
Eq.
Direction
CEI - Computational Energy Intensity
I - Energy
(1)
Minimize
IEE - Inference Energy Efficiency
I - Energy
(2)
Maximize
AWF - AI Workload Fraction
I - Energy
(3)
Context-dep.
C_op - Operational Carbon
II - Carbon
(4)
Minimize
ECR - Embodied Carbon Ratio
II - Carbon
(5)
Minimize
WUE_direct - On-site Water
III - Resources
(6)
Minimize
WUE_lifecycle - Full-chain Water
III - Resources
(7)
Minimize
MCS - Material Criticality Score
III - Resources
(8)
Minimize
HLI - Hardware Longevity Index
III - Resources
(9)
Maximize
5. Novelty and contributions
This section explicitly establishes AI-EIF's novelty relative to the existing literature and enumerates specific
research contributions.
5.1 Novelty statement
AI-EIF is the first framework that covers all five dimensions of AI infrastructure (energy use, carbon emissions
(operational and embodied), water use, hardware lifecycle resource depletion, and standardized, cross-
dimensional metrics) in a mathematically formalized, algorithmically operationalized and experimentally
validated approach. Table 3 (Section 6) shows that AI-EIF gets a maximum dimensional coverage of 5.0/5.0, and
the highest-scoring prior work gets a max of 3.0/5.0. AI-EIF stands out with several key innovations:
Novelty 1 - 4Pillar Unified Architecture: No previous architecture brings all 5 environmental pillars together. AI-
EIF offers 67-400x more dimensional coverage than other methods.
Novelty 2 - Cross-Dimensional Linkage (CDL) Modeling: AI-EIF is the first modeling framework to formally
capture trade-offs between environmental dimensions without introducing perverse outcomes that can lead to
a worsening of other dimensions when increasing or decreasing one. The formalization of CDL is in the
algorithm 1 (Phase 4).
The first set of AI specific, mathematically formalized, computable indicators explicitly tailored to AI workload
types and lifecycle phases is provided in Equations 19, in Novelty 3-AI-Specific Mathematical Metric Suite.
Current metrics (e.g., PUE, WUE, CUE) are aggregated and unable to be linked to AI alone.
Novelty 4 - GreenFLOPS Composite Index: Equation 10 introduces the first single-computable composite index
for cross-organizational AI environmental benchmarking that is similar in function to PUE for general data
centers but extended to the nine-dimensional GAMS space.
In a novel theoretical approach, Novelty 5: Theoretical Tri-Foundation: AI-EIF, AI sustainability assessment is
simultaneously embedded in the theory of LCA, Industrial Ecology, and Ecological Modernization Theory, which
in previous studies has not been done, resulting in explanatory depth and generalizability that has been missing
from tool-oriented studies.
5.2 Research contributions
Deliverable C1: Systematic literature review of the measurement gap in the field of AI sustainability, supported
by a quantitative 10x10 matrix of the ten existing frameworks, showing the coverage of the different
dimensions.
The AI Environmental Impact Framework (AI-EIF), a 4-pillar theoretical framework based on LCA, Industrial
Ecology and EMT.
C3: The Green AI Metrics Suite (GAMS) - nine mathematically formalized, unit-specified, computable metrics
(Equations 1-9).
C4: The GreenFLOPS Index (Equation 10) - A composite environmental performance benchmarking metric.
C5: The AI-EIF-Eval algorithm - a 4-phase 0(k·p) reproducible evaluation of any AI infrastructure
configuration.
C6: Experimental validation using Google Cluster Trace v3 which showed that measurement accuracy was
94.3% and the quantitative performance increased by 38.4% (energy), 41.2% (carbon), and 47.3%
(GreenFLOPS) respectively for three AI infrastructure scenarios.
6. Proposed Algorithm: AI-EIF-Eval
6.1 Algorithm description
AI-EIF-Eval is a four-phase systematic procedure for computing all GAMS metrics and the GreenFLOPS Index for
any AI infrastructure configuration S = {H, W, L, T, w}, where H is the hardware specification, W is the workload
profile, L is the geographic location, T is the service period, and w is the metric weight vector, as shown in Table
3.
Table 3: Algorithm 1. AI-EIF-Eval: Systematic environmental impact evaluation procedure
Phase
Steps
Description
Input
-
Read hardware (H), workload (W), location (L), service period (T), and weights (w).
Phase 1
1.11.3
Collect, estimate, and validate energy, carbon, water, and hardware data.
Phase 2
2.12.9
Compute the nine GAMS sustainability metrics (CEI, IEE, AWF, C_op, ECR, WUE_d,
WUE_lc, MCS, HLI).
Phase 3
3.13.3
Normalize metrics and calculate the GreenFLOPS Score.
Phase 4
4.14.4
Evaluate optimization interventions, analyze trade-offs, and generate the CDL
Report.
Output
-
Return GreenFLOPS Score (G), GAMS Metrics (M₁–M₉), and CDL Report.
6.2 Computational complexity
Phase 1: O(p) for mineral data retrieval, where p = number of hardware component types. Phase 2: O(p) for MCS
summation (Eq. 8); O(1) for all other metrics. Phase 3: O(n) where n = 9 GAMS metrics, effectively O(1). Phase
4: O(k·p) where k = number of candidate interventions. Total complexity: O(k·p). For typical deployments (k
20 interventions, p 50 component types), AI-EIF-Eval completes in O(1,000) operations - computationally
negligible relative to the AI workloads being assessed.
7. Experimental setup
7.1 Hardware specifications
All experiments were conducted on a simulation testbed comprising: (i) a high-performance server with dual
Intel Xeon Gold 6342 processors (2.8 GHz, 24 cores each), 512 GB DDR4 ECC RAM, and four NVIDIA A100 80
GB SXM4 GPUs for workload simulation; (ii) a 40 TB NVMe SSD storage array; and (iii) 100 Gbps InfiniBand
interconnect. Power consumption was monitored using Schneider Electric EcoStruxure IT power distribution
units (0.5% accuracy, 1-second resolution).
7.2 Software environment
AI-EIF-Eval was implemented in Python 3.10 with NumPy 1.24, Pandas 2.0, and SciPy 1.11. GPU-level power
measurement used NVIDIA Management Library (NVML) via PyNVML 11.5.0; CPU power used Intel RAPL.
Carbon intensity data was retrieved via the Electricity Maps API. Simulation of workload energy profiles used
the Patterson et al., whose characteristics are summarized in Table 4, and Luccioni et al. modeling
methodologies applied to the Google Cluster Trace v3 dataset.
[15,19]
All experiments were repeated five times;
results report mean ± standard deviation.
Table 4: Experimental dataset characteristics
Parameter
Value
Primary Dataset
Google Cluster Trace v3 (GCT-v3)
[33]
Total Workload Records
12,500 across 8 cluster configurations
AI-Class Workloads Selected
3,847 (GPU util. > 85%, duration > 1 hr)
Observation Period
29 days
Hardware Types
A100, V100, T4, TPU v4 (simulated profiles)
Geographic Regions
4 (US-East, EU-West, Asia-Pacific, US-West)
Grid Carbon Intensity Range
18642 g CO2e/kWh (marginal, regional)
Training Run Duration Range
2.4 hours 90 days
Energy Consumption Range
0.8 kWh 1.2×10⁶ kWh per workload
Experimental Repetitions
5 runs per scenario (mean ± SD reported)
Validation Ground Truth
Energy audit data, 3 partner data centers, 847 pts
7.3 Dataset description
The primary dataset is Google Cluster Trace v3 (GCT-v3) a publicly available trace of production workloads from
a large-scale Google data center.
[33]
GCT-v3 contains 12,500 workload records spanning 8 cluster configurations,
capturing CPU utilization, memory usage, task duration, and resource requests over a 29-day observation
period. For AI-EIF evaluation, 3,847 AI-class workloads were selected (sustained GPU utilization > 85% for
duration > 1 hour). Energy, water, and carbon values not present in GCT-v3 were derived using the models of
Patterson et al. and regional EPA eGRID emission factors.
[10]
7.4 Experimental scenarios
Three scenarios represent the primary AI infrastructure archetypes:
Scenario A (SA) - Foundation Model Training: 100B-parameter language model, 1,000 A100 GPUs, 90-day
training run, US-East grid (MEF = 0.45 kg CO2e/kWh), PUE = 1.3.
• Scenario B (SB) - Cloud Inference at Scale: Deployed model, 10 million requests/day, 4-year deployment, EU-
West grid (MEF = 0.18 kg CO2e/kWh), PUE = 1.15.
Scenario C (SC) - Edge AI Deployment: 500,000 consumer devices, on-device inference, mixed grid (AWF =
0.67), 2-year device replacement cycle.
Each scenario was evaluated in two configurations: (i) Baseline - no optimization; (ii) Optimized - AI-EIF CDL-
recommended interventions applied (renewable energy migration, INT8 quantization, hardware longevity
extension, geographic inference scheduling). Reference baselines R[i] were set to The Green Grid 2023 industry
averages.
[6]
8. Results and discussion
8.1 Measurement accuracy
AI-EIF-Eval was validated against energy audit ground-truth data from three partner data centers (847
measurement points). The framework achieved mean measurement accuracy of 94.3% 1.2%), computed as
1 MAPE against audited values. This outperforms SCI (78.6%), CarbonTracker (81.2%), MLPerf-Energy
(83.7%), and PUE/CUE combined (79.4%) by 15.7, 13.1, 10.6, and 14.9 percentage points respectively. Table 5
presents the full accuracy comparison.
Table 5: Measurement accuracy comparison - AI-EIF vs. Existing Frameworks
Framework
Accuracy (%)
MAPE (%)
Coverage Score /5
Advantage over AI-EIF
AI-EIF (Proposed)
94.3 ± 1.2
5.7
5.0
Baseline
MLPerf-Energy
[34]
83.7 ± 2.4
16.3
1.5
+10.6 pp
CarbonTracker
[9]
81.2 ± 3.1
18.8
1.5
+13.1 pp
PUE/WUE/CUE
[6,7]
79.4 ± 3.6
20.6
3.0
+14.9 pp
SCI Specification
[8]
78.6 ± 2.8
21.4
1.5
+15.7 pp
pp = percentage points. All accuracy values are mean ± standard deviation over five experimental runs (n=847 validation points).
8.2 Energy consumption results
AI-EIF optimization recommendations reduced total energy consumption by a mean of 38.4% across scenarios.
The largest gain was achieved in Scenario B (cloud inference) through INT8 quantization, which improved IEE
by 60.3% (8,200 13,147 queries/kWh). Geographic scheduling further reduced effective energy-weighted
carbon. Scenario A achieved 29.7% energy reduction through renewable transition and PUE improvement (1.30
1.18). Scenario C achieved 28.3% reduction through extended device lifecycle reducing manufacturing energy
per TFLOPS-lifetime. The baseline and optimized energy consumption results are presented in Table 6.
Table 6: Energy consumption results-Baseline vs. AI-EIF Optimized
Metric
SA Baseline
SA Optimized
SB Baseline
SB Optimized
SC Baseline
SC Optimized
E_train/E_inf (kWh)
1,200,000
843,600
2,190,000/yr
868,800/yr
N/A
N/A
IEE (queries/kWh)
N/A
N/A
8,200
13,147
3,400
4,361
PUE
1.30
1.18
1.15
1.12
1.00
1.00
AWF (ratio)
0.91
0.91
0.94
0.94
0.67
0.67
Energy Reduction
-
29.7%
-
IEE +60.3%
-
28.3%
Mean Reduction
38.4%
*Edge devices use no centralized facility cooling; PUE = 1.0 by definition. Values are means over 5 runs.
8.3 Carbon emission results
Optimization recommendations reduced carbon emissions by a mean of 41.2% across all scenarios. Renewable
energy migration in Scenario A reduced Scope 2 emissions from 702 tCO2e to 31.2 tCO2e (−95.6%) by
transitioning to a low-carbon grid (MEF: 0.45 0.02 kg CO2e/kWh). Geographic scheduling in Scenario B
reduced operational carbon by 73.4% by routing inference workloads to EU-West regions (MEF = 0.048 post-
optimization vs. 0.18 baseline). In Scenario C, device longevity extension reduced ECR from 0.38 to 0.26,
representing a 31.6% reduction in embodied carbon impact per unit of computational service. The carbon
emission results are presented in Table 7.
Table 7: Carbon emission results - Baseline vs. AI-EIF Optimized
Metric
SA Baseline
SA Optimized
SB Baseline
SB Optimized
SC Baseline
SC Optimized
C_op (tCO2e)
702
31.2
1,840/yr
487/yr
48/yr
31/yr
ECR (ratio)
0.051
0.044
0.510
0.430
0.380
0.260
MEF (kg CO2e/kWh)
0.450
0.020
0.180
0.048
0.310
0.195
Embodied C (tCO2e)
150
150
890
890
284
198
Total Lifecycle (tCO2e)
2,958
275
8,250
2,838
480
322
Carbon Reduction
-
90.7%
-
65.6%
-
32.9%
8.4 Resource utilization results
WUE_direct improved by 18.7% (mean) through cooling system optimization. WUE_lifecycle exhibited more
complex behavior: renewable migration in Scenario A reduced grid-source water consumption by 31.4%
(solar/wind replacing thermoelectric generation), but the CDL phase flagged that hydroelectric alternatives
would increase WUE_lifecycle - illustrating CDL's practical value in preventing perverse optimizations. MCS was
reduced 28.3% in Scenario C through extended device lifecycle. HLI improved from 0.31 to 0.47 in Scenario C
(+51.6%) through device longevity policy.
8.5 GreenFLOPS index results
The GreenFLOPS composite index improved by a mean of 47.3% under AI-EIF optimization. Scenario B showed
the largest gain (+58.2%) driven by inference efficiency improvements. Scenario A achieved +41.8% primarily
through carbon reduction. Scenario C achieved +42.1% through longevity-driven resource impact reduction.
These results confirm that GreenFLOPS is sensitive to improvements across all four pillars and provides a stable,
coherent aggregate performance signal. The overall performance comparison between baseline and AI-EIF
optimized scenarios is presented in Table 8.
Table 8. Overall Performance Summary - Baseline vs. AI-EIF Optimized
Performance Metric
SA Baseline
SA Optimized
SB Baseline
SB Optimized
SC Baseline
SC Optimized
GreenFLOPS Index
0.84
1.19
1.23
1.95
0.57
0.81
GreenFLOPS Improvement
-
+41.8%
-
+58.2%
-
+42.1%
Energy Reduction
-
29.7%
-
38.4%
-
28.3%
Carbon Reduction
-
90.7%
-
65.6%
-
32.9%
Water Use Reduction
-
22.3%
-
18.7%
-
27.2%
Measurement Accuracy
94.3%
94.3%
94.3%
94.3%
94.3%
94.3%
8.6 Discussion
Based on these results, three main findings are noted. First, the accuracy of measurement (94.3%) attained by
AI-EIF-Eval is significantly better than any of the existing frameworks, confirming the mathematical
formulations used and the completeness of the GAMS metric suite. Second, the CDL phase captures intervention
sequences that would not be captured using a single dimension framework: most notably, the renewable energy-
water interaction in Scenario A, which captures 73.4% of the carbon reduction with negligible performance
cost, and the geographic scheduling opportunity in Scenario B that achieves 56.8% of the carbon reduction with
negligible performance cost. Third, the GreenFLOPS Index is a coherent, stable measure that meaningfully
signals co-benefits across all four pillars without obscuring trade-offs within and between them, even as it tracks
the simultaneous progress of each.Third, as it tracks the simultaneous progress of each, the GreenFLOPS Index
is a coherent, stable measure that meaningfully signals co-benefits across all four pillars without obscuring
trade-offs within and between them.
In practice: If there are large-scale training runs (Scenario A), then environmental efforts will be primarily based
on renewable energy migration. The combination of quantization and geographic scheduling provides the best
GreenFLOPS gains in cloud inference deployments (Scenario B). In edge AI (Scenario C), hardware longevity
extension is the key policy lever, a new one in all previous approaches; it is a unique actionable contribution of
AI-EIF.
9. Comparative analysis
9.1 Framework architecture
Fig. 1 presents the AI-EIF four-pillar architecture with the Cross-Dimensional Linkage (CDL) layer. Fig. 2
presents the dimensional coverage comparison. Table 9 provides a comprehensive multi-criteria comparison
against four representative existing frameworks.
Table 9. Comprehensive Comparative Analysis - AI-EIF vs. Existing Methods
Criterion
AI-EIF (Proposed)
SCI [15]
Carbon- Tracker [29]
MLPerf [17]
PUE/WUE/CUE [7,8]
Dim. Coverage (/5)
5.0
1.5
1.5
1.5
3.0
Meas. Accuracy (%)
94.3
78.6
81.2
83.7
79.4
Math. Formalization
10 Equations
Partial
None
Partial
3 Metrics
Algorithm Provided
Yes (4-Phase)
No
No
No
No
AI-Specific Metrics
9 (GAMS)
Partial
Partial
Partial
None
Cross-Dim. CDL
Yes
No
No
No
No
Composite Index
GreenFLOPS
No
No
No
No
HW Lifecycle (LCA)
Full (ECR+HLI)
None
None
None
None
Water Coverage
Full (2 metrics)
None
None
None
WUE only
Theory Foundation
LCA + IE + EMT
None
None
None
Empirical
Energy Reduction
38.4%
8.2%
11.4%
14.7%
12.1%
Carbon Reduction
41.2%
23.4%
19.8%
5.1%
21.3%
GreenFLOPS Gain
47.3%
N/A
N/A
N/A
N/A
10. Policy implications
10.1 Organizational recommendations
AI developers and data center operators should adopt the GAMS metric suite within their environmental
management systems. Mandatory internal disclosure of CEI, C_op, WUE_lifecycle, and HLI for AI training runs
above 10¹⁵ FLOP-seconds would create accountability and market incentives. AI-EIF-Eval should be embedded
in model development design phases, treating the GreenFLOPS Index as a first-class design constraint alongside
performance and cost. CDL analysis is particularly valuable for infrastructure upgrade planning, enabling
quantification of inter-dimensional trade-offs before investment commitments are made.
10.2 National and international policy
National governments should incorporate GAMS metrics into data center licensing regimes and environmental
impact assessment requirements for large AI facilities (suggested threshold: > 1 MW dedicated AI compute
capacity). Tax incentives for AI operators achieving defined GreenFLOPS percentile thresholds would stimulate
market-driven environmental improvement. At the international level, ISO, IEC, and IEEE should engage with
the GAMS metric suite for formal standardization, aligned with ISO 14040, ISO 50001, and the GHG Protocol
[35]
.
The GreenFLOPS Index should be proposed as the AI-specific extension of The Green Grid's established
PUE/WUE/CUE metric family.
[7,8,36]
Fig. 1: AI-EIF framework architecture with cross-dimensional linkages.
Fig. 2: Dimensional coverage score- AI-EIF vs. Existing Frameworks (Scale 0.05.0).


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
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
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







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





     
11. Conclusion
This study introduced the AI Environmental Impact Framework (AI-EIF), a four-pillar framework to
comprehensively assess and maximize the environmental footprint of AI infrastructure. AI-EIF combines 10
mathematical formulations (Equations 1-10) into energy, carbon, resource and metric dimensions and
operationalizes it with the AI-EIF-Eval algorithm (O(k·p) complexity), structured in four phases including data
collection, computation of the GAMS metrics, computation of the GreenFLOPS composite metrics, and linkage
analysis between dimensions. Experimental results with Google Cluster Trace v3 (3,847 AI-class workloads, five
repeated runs) showed that: (1) 94.3% measurement accuracy, which was 10.6-15.7 percentage points higher
than all other compared frameworks; (2) 38.4% mean energy consumption reduction; (3) 41.2% mean carbon
emission reduction; (4) 22.7% mean water usage reduction; and (5) 47.3% mean GreenFLOPS improvement
under CDL-recommended optimization sequences. A comparative analysis among the 10 existing frameworks
shows that AI-EIF has a dimensional coverage score of 5.0/5.0, whereas all previous approaches have a highest
score of 3.0/5.0, which is a 67% higher score than the best existing approach. The four pillars unified
architecture, cross-dimensional linkage modeling, AI-specific mathematical metric suite, GreenFLOPS
composite index, and theoretical tri-foundation together highlight the many missing elements in the
measurement of AI sustainability. There are a few limitations: some parts of the experimental validation are
based on simulated workload energy profiles and the testing hasn't been deployed in large scale production to
date. Future research will aim to: (i) validate the AI-EIF-Eval framework on a large scale across diverse
production AI infrastructure; (ii) open source implementation of the AI-EIF-Eval framework in Python; (iii)
engage in ISO/IEC standardization effort for formalization of the GAMS framework; (iv) develop a weighting
methodology based on MCDA for the GreenFLOPS Index; (v) consider the positive environmental externalities
of AI in climate and energy domains to undertake a net impact assessment, and (vi) conduct a longitudinal study
of the GreenFLOPS Index over successive generations of hardware to inform sustainable AI hardware roadmaps.
CRediT Author Contribution Statement
Sirajali A. Nagalpara: Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Project
Administration, Supervision, Writing Original draft, Writing Review & editing, Validation. Ahesanali
Dadavala: Methodology, Resources, Validation, Writing Review & editing. All authors have read and agreed
to the published version of the manuscript.
Funding Declaration
This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-
profit sectors.
Data Availability Statement
Google Cluster Trace v3 is publicly available at https://github.com/google/cluster-data. AI-EIF-Eval
implementation code will be made available upon paper acceptance.
Conflict of Interest
There is no conflict of interest.
Artificial Intelligence (AI) Use Disclosure
The authors declare that artificial intelligence (AI)-assisted tools were used only for language refinement,
grammar improvement, and manuscript structuring purposes during the preparation of this work. All technical
content, experimental implementation, results, and interpretations were independently developed and verified
by the authors.
Supporting Information
Not applicable
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