Incoprea Research

Original Theories Volume XXXI · science index

83 retained entries from the original 129. Original entry numbers are preserved. These are working hypotheses, not findings or proofs.

Averaging removes noise

• Theory 60 · Averaging Doesn't Cancel Bias
  Averaging reduces random error but leaves systematic error untouched, so precision improves while accuracy stalls.
• Theory 58 · Averaging Creates Artefacts
  Averaging over heterogeneous units can create patterns that exist in no unit, including spurious trends and thresholds.
• Theory 59 · Means Hide Tails
  The mean of a heavy-tailed distribution is dominated by rare events, so averages misrepresent typical experience entirely.

Extinction is gradual

• Theory 19 · Background Is Punctuated Too
  Even background extinction is punctuated by stochastic catastrophes rather than proceeding at a constant rate.
• Theory 20 · Loss Lags Cause
  Extinction lags its cause by decades, so current diversity reflects past habitat rather than present.
• Theory 21 · Range Collapses Before Numbers
  A species' range contracts before its abundance falls, so range is the earlier warning.

Selection optimises

• Theory 05 · Bet-Hedging Is Locally Suboptimal
  Bet-hedging strategies are suboptimal in the arithmetic mean and optimal in the geometric mean, so which is 'optimal' depends on the averaging.
• Theory 04 · Optimisation Is Local
  Selection optimises fitness at the level it acts, which can systematically reduce function at higher levels.
• Theory 06 · Means Optimise, Variances Don't
  Selection optimises the mean of a trait while leaving its variance to drift and mutation, so populations can be well adapted and highly fragile.

Bigger animals are slower

• Theory 01 · Strike Speed Peaks Mid-Size
  Strike speed peaks at intermediate body size, because acceleration falls with mass while reach rises, and the product is maximised between.
• Theory 03 · Crossover Sets Escape Success
  Escape success against a predator is set by the ratio of the prey's acceleration to the predator's, which crosses over at a characteristic size ratio.
• Theory 02 · Wind Reverses the Size Ranking
  In headwinds, larger birds achieve higher ground speeds than smaller ones at the same airspeed, because wing loading changes the optimum.

Correlation implies causation

• Theory 63 · Sometimes It's Trend
  Two series that both trend will correlate strongly regardless of any relationship.
• Theory 62 · Sometimes It's Backwards
  Some associations run in the opposite direction to the assumed one, because early symptoms change exposure.
• Theory 61 · Sometimes It's a Collider
  Correlation can arise from conditioning on a common effect, so the association exists only in the selected sample.

Cold slows everything

• Theory 54 · Cold Stores Carbon
  Cold slows decomposition more than production, so cold systems accumulate carbon despite slow growth.
• Theory 53 · Cold Embrittles
  Cooling slows diffusion but concentrates stress, so failure can occur sooner at lower temperature.
• Theory 52 · Cold Can Accelerate
  Some reactions accelerate on cooling when the mechanism switches to a lower-barrier pathway.

Complexity requires central control

• Theory 55 · Complexity Self-Organises
  Complex structure can arise from local rules without central coordination, and does so in systems as different as morphogenesis and markets.
• Theory 56 · Control Without Models
  Effective control can be achieved without a model of the system, using feedback alone, when the delay is short relative to the dynamics.
• Theory 57 · Decentralised Systems Adapt Faster
  Decentralised systems adapt faster to heterogeneous conditions because local information is used locally.

Larger reserves protect more species

• Theory 23 · Connection Beats Size
  For metapopulations, connectivity among small patches can support more species than one large isolated patch of equal total area.
• Theory 24 · The Matrix Decides
  Reserve effectiveness depends more on the surrounding matrix than on reserve size, because the matrix sets dispersal and edge pressure.
• Theory 22 · Shape Beats Area
  At equal area, a compact reserve protects more interior species than an elongated one, because edge penetration is fixed while perimeter scales.

Populations are well mixed

• Theory 07 · Clustering Sets the Threshold
  Epidemic thresholds depend on contact clustering, so the same mean contact rate produces outbreaks or none depending on its distribution.
• Theory 08 · Retention Breaks Assessment
  Stock assessments that assume mixing overestimate recovery when larvae are retained near spawning grounds.
• Theory 09 · Dispersal Is Fat-Tailed
  Plant gene flow is leptokurtic, so isolation by distance fails at short range while long-distance events dominate at large range.

More data means better decisions

• Theory 10 · Confidence Outruns Accuracy
  Adding data raises confidence faster than accuracy, so decision quality can fall while certainty rises.
• Theory 12 · Real-Time Data Destabilises
  Faster data increases reactivity, which amplifies fluctuations rather than damping them.
• Theory 11 · Variables Outrun Signal
  Adding variables increases overfitting faster than explanatory power once the ratio of variables to observations exceeds a threshold.

Diversification reduces risk

• Theory 96 · Diversification Adds Links
  Diversifying suppliers adds links that each carry their own failure probability, so resilience improves only if failures are uncorrelated.

Early detection saves money

• Theory 108 · Detection Has Costs
  False positives generate investigation, anxiety and complications that offset part of the benefit.
• Theory 106 · Detection Finds Harmless Cases
  Early detection finds lesions that would never have caused harm, so treatment costs rise while mortality falls little.
• Theory 107 · Lead Time Inflates Survival
  Survival improves with earlier diagnosis even when death is unchanged, so survival is not evidence of benefit.

Efficiency saves resources

• Theory 26 · Efficiency Removes Buffers
  Efficiency improvements remove slack, which is what absorbs variability, so measured savings are partly transferred risk.

Systems return to equilibrium

• Theory 125 · Multiple Basins
  Systems with multiple stable states do not return to the one they left, but to whichever basin the perturbation entered.
• Theory 126 · Some Never Settle
  Open systems driven far from equilibrium can sustain oscillations indefinitely, with no equilibrium to return to.
• Theory 124 · Equilibria Move
  The equilibrium itself changes as slow variables drift, so return is to a moving target.

Feedback loops stabilise

• Theory 46 · Delay Destabilises
  A negative feedback loop destabilises when its delay exceeds a fraction of the oscillation period, turning damping into amplification.
• Theory 47 · Gain Produces Overshoot
  High feedback gain produces overshoot and oscillation even without delay, because the response exceeds the disturbance.
• Theory 48 · Proxy Feedback Drifts
  Feedback on a proxy rather than the target produces stable readings while the target degrades.

Forests are carbon sinks

• Theory 81 · Albedo Offsets Carbon
  In high latitudes, the albedo change from forest expansion offsets much of the carbon benefit, and can reverse the sign.
• Theory 79 · Sinks Saturate
  Forest carbon uptake saturates as nutrient limitation and age reduce the response to higher carbon dioxide.
• Theory 80 · Forests Can Be Sources
  Disturbance and warming can turn a forest from sink to source while it remains visibly intact.

Memory is storage

• Theory 17 · Forgetting Is a Feature
  Forgetting is adaptive because it removes outdated information that would otherwise misdirect decisions.
• Theory 16 · Retrieval Rewrites
  Retrieval is reconstructive, so each recall alters the trace it retrieves.
• Theory 18 · Accuracy Trades With Speed
  Memory accuracy trades against retrieval speed, so fast recall is necessarily less precise.

Groundwater is a buffer

• Theory 88 · Buffers Deplete
  Groundwater buffers drought only until storage falls below the level at which abstraction becomes uneconomic.
• Theory 90 · Contamination Persists
  Contamination persists far longer than the abstraction that caused it, because residence times are measured in decades.
• Theory 89 · Pumping Lowers Land
  Aquifer compaction from pumping causes permanent land subsidence that reduces future storage.

Adaptation is gradual

• Theory 36 · Hybrids Adapt Instantly
  Hybridisation can produce novel adaptive combinations in one generation, faster than either parental lineage could.
• Theory 35 · Plasticity Comes First
  Phenotypic plasticity precedes genetic adaptation, because it exposes variation to selection before alleles fix.
• Theory 34 · Standing Variation Adapts Fast
  Adaptation from standing variation can occur in a few generations, far faster than waiting for new mutations.

Species are units

• Theory 32 · Boundaries Are Arbitrary
  Hybrid zones make species boundaries a matter of convention, since gene flow continues across the designated line.
• Theory 33 · Microbes Have No Species
  Microbial species concepts fail because horizontal gene transfer makes genealogy a network rather than a tree.
• Theory 31 · Variation Within Exceeds Between
  For many functional traits, intraspecific variation exceeds interspecific variation, so species-level means mislead.

Measurement improves management

• Theory 104 · Resolution Sets Error
  Managing to an indicator at coarser resolution than the process produces errors proportional to the resolution ratio.

Networks grow more robust with size

• Theory 50 · Coupling Spreads Failure
  Coupling networks together improves efficiency and creates failure paths that neither network had.
• Theory 51 · Redistribution Overloads
  Failure spreads because load redistributes faster than capacity can adjust, not because the initial fault is large.
• Theory 49 · Size Concentrates Risk
  Larger networks are more robust to random failure and more fragile to targeted failure, so size trades one for the other.

Oceans are infinite

• Theory 83 · Buffering Decreases
  The ocean's buffering capacity falls as it absorbs carbon, so each additional unit of uptake costs more in pH.
• Theory 82 · Dilution Is Slow
  Ocean dilution is slow relative to emission, so concentrations accumulate in surface waters for centuries.
• Theory 84 · Catches Peak and Fall
  Catch per unit effort declines before stock collapse, so effort-based indicators lag the resource.

The past predicts the future

• Theory 127 · The Past Is Non-Stationary
  Statistical relationships estimated over one period often fail out of sample because the underlying distribution shifts.
• Theory 128 · Rare Events Aren't in the Record
  The largest events are usually absent from the historical record, so past maxima underestimate future extremes.
• Theory 129 · Selection Destroys Prediction
  Models selected for past performance overfit, so the best historical model is often the worst forecaster.

Prevention is cheaper than cure

• Theory 109 · Prevention Is Diffuse
  Prevention benefits are diffuse and delayed while costs are concentrated and immediate, so it is underfunded regardless of its efficiency.
• Theory 111 · Prevention Is Offset
  Preventive measures can be offset by risk compensation, so net benefit is smaller than the efficacy suggests.
• Theory 110 · Prevention Needs Targeting
  Universal prevention is often less efficient than targeted prevention, because absolute risk reduction depends on baseline risk.

Randomised trials settle causality

• Theory 29 · Trials Can't See Equilibria
  Trials measure partial-equilibrium effects, so general-equilibrium responses can reverse the sign when scaled.
• Theory 28 · Trials Don't Transport
  Randomised trials identify effects under the conditions of the trial, and effect sizes typically shrink when scaled or moved.
• Theory 30 · Trials Exclude the Affected
  Trial populations systematically exclude the patients most likely to be treated, so efficacy estimates apply to a minority.

Sleep is for rest

• Theory 78 · Sleep Clears Waste
  Sleep increases clearance of metabolic waste from the brain, which is why its absence degrades function cumulatively.
• Theory 77 · Sleep Edits Memory
  Sleep consolidates and generalises memories rather than simply preserving them, which is why sleep can change what is remembered.
• Theory 76 · Sleep Is Active
  Sleep is metabolically active work — clearance, consolidation and calibration — not recovery from activity.

Soil is renewable

• Theory 87 · Biology Recovers Slowly
  Soil biological communities recover more slowly than chemistry, so fertility can appear restored while function is not.
• Theory 85 · Soil Forms Slower Than It Erodes
  Soil formation rates are one to two orders of magnitude below typical erosion rates under agriculture, so loss is effectively permanent.
• Theory 86 · Compaction Is Irreversible
  Compaction destroys pore structure that reform slowly or not at all, so the loss is not recovered by rest.

Technology substitutes for resources

• Theory 120 · Substitution Creates Criticality
  Substitution concentrates demand on a few elements with constrained supply, creating new criticality.
• Theory 118 · Substitution Has Limits
  Substitution can relieve scarcity of one resource only by increasing demand for another, so the constraint moves rather than disappears.

Time heals

• Theory 121 · Time Doesn't Restore
  Systems do not return to prior states with time; they settle into new states that merely resemble the old.
• Theory 122 · Damage Compounds
  Slow damage compounds faster than slow recovery, so time worsens rather than heals.
• Theory 123 · Time Changes the Memory
  Time does not fade a memory uniformly; it reconstructs it repeatedly, so what persists is a summary shaped by retelling.

Index narrowed to the focused science collection. Biological and ecological population dynamics, genetics, physiology and engineering are retained. Source numbering remains historical; no remaining hypothesis has been promoted to a finding.