Plot 1 · 1,000,000 Nodes
Grade Distribution
A++ ≥150% · A+ 110–150% · A 90–110% · A− 85–89%. Log scale. Grades below A+ represent 0.047% of all nodes. No A− or worse recorded across 1 million scenarios.
Plot 2 · Three Independent Variance Axes
Stochastic System Architecture
Every simulated scenario applies three independent lognormal perturbations simultaneously — block dose variance, biologic nutrient variance, and grocery weight variance. All centred on 1.0, no systematic bias, confirmed empirically across 1,000,000 nodes.
Plot 3 · 100,000 Representative Nodes · Real Simulation Data
Body Weight vs Nutrient Delivery Floor — Full Deployment Envelope
Every point is one simulated animal under all three stochastic axes. Population baseline stays above 90% NRC across all body weights. Uniform density across the full dog size range (2.5–40 kg) and cat range (3–8 kg). Cat cluster visible bottom-left.
Plot 3b · Dog · 1,095 Nodes with Delivery <110% NRC
Dog Tight-Margin Envelope — Body Weight × Activity
The NRC Beagle Bias. 92.5% of tight-margin nodes cluster below the M=1.5 activity anchor (dashed line). NRC 2006 allometric equations were calibrated on the laboratory beagle — a diet-restricted, low-activity animal. When the Snowleopard Protocol models a sedentary or calorie-counted dog at M<1.5, grocery nutrients are proportionally throttled alongside energy, creating the tightest delivery margins in the system. We prefer healthy body scores, 1–2 hours of active daily playtime, and freedom from calorie-counted meals for healthy adult dogs.
Plot 3c · Cat · 225 Nodes with Delivery <110% NRC
Cat Tight-Margin Envelope — Body Weight × Activity
225 cat nodes with the tightest delivery margins. Body weight 3–8 kg, metabolic activity 0.8–1.0. Distribution across the range shows no structural weak corner — the formulation handles the full feline size envelope equally.
EMA Telemetry · Longitudinal Simulation · Dog 20–25 kg + Cat 4–5 kg · 1,500 Feeding Days
Biological Reserve Momentum — Attractor & Ripple
The horizontal line is the long-run delivery target — average body-level reserve once the system has fully converged. Dots are actual simulated reserve levels sampled every five days. Ripple width is physiological buffering depth: narrow for fat-soluble vitamins and minerals (deep reserves, slow turnover), wide for water-soluble B-vitamins (fast turnover, reactive). Every trajectory held above 90% NRC throughout 1,500 feeding days.
Plot 4 · Long-Run Stationary Distribution · Simulated Days 1,100–1,266
Physiological Reservoir — Probability Density by Reserve Class
The probability density of where the body reservoir level spends its time once fully converged. Curve width equals physiological buffering depth. Fat-soluble vitamins and minerals maintain a narrow, high reservoir. Short-cycle water-soluble vitamins show wider distributions. Every distribution sits entirely above the 90% NRC floor. Cat Vitamin D3 is intentionally high — cats cannot synthesise Vitamin D3 from sunlight and CatCore delivers a wide safety margin above the NRC minimum by design.
Dog · B5 · Copper · Vitamin D3
Cat · B2 · Folate · Vitamin D3
Plot 5 · Nutritional Portfolio Theory · Long-Run Stationary State
Delivery Volatility vs Mean Yield — Nutrient Risk-Return Landscape
Each nutrient as a portfolio asset. X: delivery volatility (CV) in the converged state. Y: mean body-level delivery % NRC. Bubble size: margin above 90% floor. Minerals and fat-soluble vitamins cluster bottom-left — low volatility, stable deep reserves. Water-soluble B-vitamins scatter right. Every nutrient above 100% NRC adequacy line. Vitamin A display-capped at 450%.
Plot 6 · 1,000,000 Nodes · Species Independent
The System Floor — Lowest-Ranked Nutrient Frequency
Frequency with which any given nutrient is the lowest-ranked of the 22 NRC nutrients tracked across 1,000,000+ simulations. Not a deficiency signal — every node is grade A or better. Every system has its floor. This is ours.