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Capacity Structure

The Capacity Paradox: Why Processing Style Doesn't Predict Integration

Icosa Research · 20 min read · N = 10,169

Open, Focus, Bond, and Move describe four fundamentally different ways of engaging with life — receiving, attending, connecting, and expressing. This research demonstrates that these capacities are independent: knowing how someone opens tells you almost nothing about how they focus. The paradox is that individual capacity levels don’t predict wellbeing — what matters is how evenly each capacity expresses across the five domains.

r = 0.38, p < .001

Bond variance (spread across 5 domains) predicts trap count — it's the PATTERN, not the level, that matters.

r = 0.36, p < .001

Open variance also predicts trap formation — internal inconsistency within a capacity row signals dysfunction.

effective_dimensions = 4.0

Four capacities are independent — no latent hierarchy collapses them into fewer dimensions.

Executive Summary

  • Individual Capacity health doesn’t predict personality integration. Across all six studies (N = 10,169 profiles each), the aggregate health of each processing row (Open, Focus, Bond, and Move) showed negligible or zero correlation with Coherence. The largest effect was r = 0.02. This is the biggest null cluster in the validation program and it’s clinically important: you can’t shortcut assessment by measuring one or two Capacities.

  • Within-Capacity variance predicts Trap vulnerability. Bond variance across five Domains correlated with Trap count at r = 0.38 (R² = .144, p < .001), and Open variance at r = 0.36 (R² = .127, p < .001), both medium effects. The pattern of engagement across Domains, not the level, is what generates self-reinforcing dysfunction.

  • The four Capacities are independent. Principal component analysis retained all four components (effective dimensions = 4.0, cumulative R² = 1.000). No latent hierarchy collapses Open, Focus, Bond, and Move into fewer dimensions. Knowing a client’s receptivity tells you nothing about their expressiveness.

  • No Capacity is inherently harder to develop. Open and Move means were indistinguishable (d = 0.017); Open and Bond completion rates were equivalent (d = 0.016). Imbalances in a client’s profile reflect their specific pattern, not model bias.

  • Cross-Capacity balance is clinically irrelevant. The correlation between how lopsided someone’s four Capacity scores are and their Coherence was r = −0.03 (R² = .001). Whether the rows are balanced doesn’t matter; what’s happening inside each row does.

  • Move health showed a paradoxical negative direction (r = −0.02 with Coherence), consistent with compensatory expression masking upstream deficits, a pattern the model identifies as the Output Escalation Basin.

  • Focus and Open are indistinguishable at the mean level (d = 0.027) but carry entirely different Trap profiles (11 vs. 9 Traps, zero overlap) and Gateway architectures. Row means are the wrong unit of comparison; structural roles differentiate the Capacities.

  • The clinical unit that matters is the individual Harmony and its Gateway role, not the Capacity row. Centering Plans already operate at this level, and the full family of findings validates that design.

  • Top three effect sizes: Bond variance → Trap count (R² = .144); Open variance → Trap count (R² = .127); Capacity dimensionality (4.0 effective dimensions, R² = 1.000 cumulative).

Research Overview

The Icosa model organizes personality into a 4×5 structure: four processing Capacities (Open, Focus, Bond, and Move) crossed with five experiential Domains, producing 20 centers called Harmonies. The Capacities form a natural processing cycle: you take something in, sort through it, integrate it, then express it. Each Capacity has a distinct centered target, and both under-engagement and over-engagement represent dysfunction. The question this family of studies investigated is deceptively simple: how much does each Capacity row matter for overall personality integration?

Six studies approached this question from complementary angles. Four examined individual Capacity rows (Open, Focus, Bond, Move), testing whether each row’s aggregate health predicts Coherence, the model’s 0–100 index of personality integration. Two of those studies also tested whether within-row variance (how unevenly a Capacity operates across the five Domains) predicts Trap count or Gateway activation. A fifth study tested cross-Capacity interactions, asking whether health in one row predicts health in another, and whether different rows reach their targets at different rates. A sixth examined the dimensional structure of the four Capacities together, asking whether they collapse into fewer latent dimensions and whether cross-Capacity balance predicts Coherence.

The intellectual agenda wasn’t six separate questions. It was one question examined from six angles: does the Capacity row function as a meaningful clinical unit? The answer, converging across all six studies, is no, not at the aggregate level. But the reasons it doesn’t are themselves the findings. The Capacities are independent, equipotent, and unable to predict system-level outcomes when averaged across Domains. The signal lives one level deeper, in the specific pattern of engagement within each row, and in the structural features (Gateways, Traps, Basins) that emerge from center-level dynamics rather than row-level summaries.

Key Findings

The Level Doesn’t Matter; The Pattern Does

The most striking result across this family is the consistent dissociation between Capacity health and within-Capacity variance. For Bond, aggregate health correlated with Coherence at r = 0.02, statistically significant only because N exceeded 10,000, but carrying zero clinical meaning (R² < .001). Bond variance, by contrast, predicted Trap count at r = 0.38 (R² = .144), a medium effect accounting for roughly one-seventh of all Trap activation in the system. Open told the same story: health predicted nothing (r = −0.01, p = .564), while variance predicted Trap count at r = 0.36 (R² = .127).

The clinical implications are concrete. Two clients can have identical Bond health scores, the same average distance from centered across Inhabitation, Embrace, Identity, Belonging, and Devotion. One connects evenly across Physical, Emotional, Mental, Relational, and Spiritual. The other is fused in relationships and meaning but severed from body and emotion. Same average. Completely different structural vulnerability. The even-Bond client carries few Traps. The scattered-Bond client carries many, because the unevenness creates the geometric conditions under which self-reinforcing feedback loops activate and sustain themselves.

The clinical implication is direct: row-level health scores are insufficient indicators. A Bond row that appears adequate in aggregate may conceal exactly the fragmentation that generates Traps. The same holds for Open. A client whose receptivity looks “fine on average” may be flooding through one channel and shut down in another, precisely the configuration that activates Trap geometry. The question isn’t “how connected is this person?” or “how receptive is this person?” It’s “where is connection present and where is it absent?” and “where is receptivity open and where is it closed?” Because the gaps in distribution, not the aggregate deficit level, are what generate the geometric conditions for Trap activation.

This finding has a structural explanation in the Icosa architecture. The Coherence formula incorporates asymmetric penalties for within-row polarization, it taxes uneven Capacity engagement independently of mean level. A client who’s uniformly slightly under-receiving across all five Open Domains would have low Open health but low variance, and the system might not destabilize at all. But a client with high Empathy and low Sensitivity creates the specific local conditions that activate Empathic Overwhelm (escape via the Discernment Gate) while simultaneously closing the Body Gate. The variance, not the level, is what generates the structural conditions for Traps.

Four Independent Channels

The Capacity-hierarchy study delivered the cleanest structural result in the family: principal component analysis retained all four components, with effective dimensions = 4.0 and cumulative R² = 1.000. The four Capacities share no latent structure whatsoever. Each carries unique variance that can’t be recovered from the others. This isn’t “mostly independent” or “weakly correlated.” It’s full orthogonality, confirmed empirically rather than assumed by convention.

The Capacity-interaction study reinforced this from a different angle. The correlation between Open and Focus Capacity health was r = 0.01 (R² < .001). How well someone receives experience tells you literally nothing about how well they attend to it. The processing cycle (receive, then sort, then integrate, then express) is a useful conceptual sequence for understanding what each Capacity does, but it doesn’t chain them together statistically. Your Open score doesn’t predict your Focus. Your Bond doesn’t predict your Move. They run on separate tracks.

This matters for assessment design and clinical reasoning. If the Capacities were correlated (if strong receptivity predicted strong attention, or weak connection predicted weak expression) you could potentially shortcut the assessment by measuring one or two Capacities and inferring the rest. The data rules that out. All four need independent measurement because all four carry independent information. A client who’s thriving in Open and struggling in Bond isn’t showing a pattern that could have been predicted from either score alone. The imbalance is informative about their specific developmental configuration.

It also matters for intervention planning. The independence means there’s no cross-row spillover to count on. Working on a client’s receptivity won’t produce gains in their connection Capacity. Strengthening expression won’t improve attention. Each Capacity row requires its own targeted work, routed through its own Gateways and constrained by its own Traps. The intuition that “if we can just get them receiving better, everything downstream will improve” doesn’t hold at the structural level. The pipeline is conceptual; the channels are independent.

HypothesisStatisticEffect SizeResult
Open predicts receptive ranger = .45MediumConfirmed
Focus predicts directed concentrationr = .52LargeConfirmed
Bond predicts relational depthr = .49MediumConfirmed
Move predicts adaptive flexibilityr = .44MediumConfirmed
Capacity rows are independentmax r = .03NegligibleConfirmed
Cross-capacity correlationmean r = .01NoneNull confirmed

No Capacity Is Privileged

Across the family, every test of Capacity-level asymmetry came back null. Open and Move means were indistinguishable (d = 0.017, p = .227). Open and Bond completion rates were equivalent (d = 0.016, p = .248). Focus and Open means were statistically indistinguishable (d = 0.027, p = .053, just above threshold, but the effect size rounds to zero). The model doesn’t privilege intake over output, connection over attention, or any processing stage over any other.

This equipotency has a specific clinical consequence: when a client’s profile shows uneven Capacity development, that unevenness is diagnostically meaningful. It reflects their particular pattern, not an artifact of the model weighting some Capacities as harder to develop than others. If Bond is lagging behind Open, that’s information about the client, not about Bond being inherently more difficult. The model treats all Capacities symmetrically; observed imbalance in a profile reflects the client’s developmental configuration, not a measurement artifact.

Cross-Capacity balance itself (whether the four row scores are even or lopsided) accounted for just 0.1% of the variance in Coherence (r = −0.03). The direction was correct: more imbalance, slightly lower integration. But the effect is clinically meaningless. Whether someone’s four Capacities are balanced or wildly uneven has almost nothing to do with how integrated they are overall. Integration lives in the 20-center pattern, not in the four-row summary.

Expression Is the Output, Not the Lever

The Move Capacity study produced a result that runs counter to a common clinical instinct. Move health correlated with Coherence at r = −0.02, negligible in magnitude but negative in direction. Profiles with healthier Move rows tended toward slightly lower Coherence. The effect is too small to interpret with confidence directionally, but the structural logic is consistent with what the model predicts: strong expressive output without matching receptive and connective Capacity may represent compensatory functioning rather than genuine integration.

The Icosa model identifies this pattern as the Output Escalation Basin, a stable configuration where all five Move Harmonies (Vitality, Passion, Agency, Voice, Service) are over-engaged simultaneously. It’s not centered expression; it’s expressive overdrive. The person isn’t integrated; they’re compensating. All that outward energy may be covering for an Open Capacity that can’t receive feedback, or a Bond Capacity that can’t hold connection without controlling it. Clinically, these clients present as highly active, emotionally present, decisive, relationally engaged, purposeful, and structurally fragile.

Move variance told a similar story with Gateway bonus, the structural uplift conferred when critical Gateway centers reach an open state. More unevenness in expression across Domains correlated with less Gateway opening (r = −0.09, R² = .009). Still negligible, but the direction is informative: uneven expression means some Move centers are far from their targets, which makes Gateway opening harder rather than easier.

The practical takeaway: don’t chase Move-row symptoms. A client frozen in Emotional Suppression (a Move-row Trap) won’t resolve that pattern by practicing assertiveness if the upstream Feeling Gate (Bond × Emotional) is closed. The Trap’s escape route runs through a different Capacity row entirely. Most Move-row Trap escape Gateways aren’t on the Move row at all; they’re on Open, Focus, or Bond. The Centering Plan sequences intervention through those upstream constraints, and this study validates that design with empirical data.

Row Means Can’t Differentiate What Structure Can

The Focus study revealed that Focus and Open, the two input-side Capacities, are indistinguishable at the mean level (d = 0.027). If you averaged each row’s five centers and compared the distributions, you’d conclude these are the same construct. But they carry entirely different Trap profiles (11 Focus Traps vs. 9 Open Traps, with zero overlap) and different Gateway architectures. The Choice Gate (Focus × Mental) serves as the escape route for 10 Traps spanning every Capacity row. The Discernment Gate (Focus × Emotional) unlocks 5 Traps. These structural roles have no parallel in the Open row, despite the indistinguishable means.

This is the clearest demonstration of why row-level analysis is the wrong grain size. Two Capacities that look identical when averaged carry completely different structural weight when examined at the center and Gateway level. The distinction between Open and Focus isn’t in how much of each you have, it’s in what each does at specific intersections with specific Domains, and which Traps those intersections constrain or release. A closed Choice Gate and a closed Body Gate require different interventions, target different experiential Domains, and unlock different sets of Traps, even though both sit in rows with indistinguishable population means.

Boundaries of the Evidence

Tested RelationshipExpectedObservedInterpretation
Open ↔ Focus correlationr > .20r = .02Truly independent
Bond ↔ Move correlationr > .20r = .03Truly independent
Capacity magnitude differencesd > .20d = .04No dominant capacity

Six studies, six null results on the same question: does Capacity health predict Coherence? The largest correlation was r = 0.02 (Bond), and most were effectively zero. In a research program where 87% of hypotheses across all families produce null results, this family achieved a 100% null rate on its primary hypothesis. That consistency is itself a finding.

The null results establish that the Icosa model isn’t dominated by any single processing dimension. You can’t identify someone’s Coherence band by knowing how well they receive, attend, connect, or express. This is counterintuitive, it feels like being “good at” the fundamental processing operations should predict integration. But Coherence is computed from all 20 centers simultaneously, incorporating Gateway status, Trap activation, Basin dynamics, and asymmetric penalties for within-row polarization. Any single Capacity row contributes five of those twenty inputs. A row-level mean, even for the row that starts the processing chain, can’t dominate a metric that integrates information across four rows and five columns.

The clinical importance of this null is practical: it means you can’t shortcut assessment. A screening instrument that measured only Open and Bond (the two Capacities where variance predicts Traps) would miss the specific center-level configurations that drive Coherence. The four Capacities are independent (4.0 effective dimensions), so measuring fewer doesn’t let you infer the rest. And even within the Capacities you do measure, the aggregate health score misses the variance that actually matters. The model requires all 20 centers, measured individually, to produce the structural information that predicts where a client is stuck and what to do about it. That’s not a limitation of the assessment, it’s a reflection of how personality actually organizes itself in this framework.

The null results also protect against a specific clinical error: over-attributing dysfunction to a single processing mode. A clinician who believes “this client’s problem is that they can’t connect” (a Bond-row formulation) or “they need to learn to express themselves” (a Move-row formulation) is working at a level of abstraction that the data says carries no predictive power. The structural information that actually predicts Traps and constrains Coherence lives at the intersection of specific Capacities and specific Domains, at the level of individual Harmonies and their Gateway roles.

Clinical Use

The combined findings from this family reshape how Capacity-level information should be used in practice. The Icosaglyph, the full 20-center map that Icosa Atlas generates, displays each Harmony’s state independently, showing not just row averages but the specific pattern of engagement across Domains within each Capacity. For Bond and Open, where within-row variance predicts Trap vulnerability, the Clinician Map makes the spread immediately visible. A Bond row with adequate average health but high variance (strong Embrace and Belonging offset by weak Inhabitation and Identity) shows up as a scattered pattern across the Bond row, with the specific off-centered centers identified and the active Traps flagged alongside their escape Gateways.

Gateway status detection becomes especially relevant in light of these findings. Three of the model’s nine Gateways sit on the Bond row (Feeling Gate, Identity Gate, Belonging Gate), and two sit on the Focus row (Choice Gate, Discernment Gate). When Bond variance is high, the constrained Gateways identify where connection needs to develop, while functioning Gateways point to existing strengths. The Centering Plan (the computed intervention sequence that prioritizes Gateway activation and Basin disruption) automatically incorporates this variance information, sequencing therapeutic targets in the order most likely to reduce Trap load. The plan doesn’t say “work on Bond” or “improve Focus.” It identifies a specific Gateway (say, the Identity Gate), explains which Traps that Gateway constrains (Boundary Collapse, Hyperattunement, Relational Dominance, Self-Silencing), and sequences the intervention step that maximizes Coherence gain.

The independence finding (4.0 effective dimensions) means the Centering Plan can and does route across Capacity rows without expecting spillover. A client whose Bond row is struggling and whose Focus row is functioning well won’t benefit from leveraging Focus strength to compensate for Bond weakness, the channels don’t talk to each other at the aggregate level. But the specific centers within those rows interact constantly through Gateways, Traps, and Basins that cut across the grid. A Trap in the Bond row might have its escape through a Focus-row Gateway. The Centering Plan navigates these cross-row structural dependencies at the center level, which is exactly where the data says the clinical signal lives.

The assessment tiers map onto this finding naturally. The Quick tier (10 questions, ~2 minutes) provides screening-level data, enough to flag whether variance patterns warrant deeper assessment, but not enough to resolve the specific center-level configurations that drive Trap activation. The Standard tier (32 questions, ~5 minutes) captures the within-row patterns that this family identifies as clinically meaningful. The Comprehensive tier (91 questions, ~15 minutes) provides the full structural picture for complex cases where multiple Capacity rows show high variance and cross-row Gateway dependencies need to be mapped precisely.

Applied Example

A client presents with relationship difficulties and chronic dissatisfaction despite apparently strong social bonds. She describes herself as deeply connected to the people in her life but persistently restless, unable to settle into the relationships she’s built. Traditional assessment might frame this as attachment ambivalence or existential questioning. The Icosa Atlas assessment reveals something more specific.

The Icosaglyph shows Bond variance immediately: Belonging and Embrace are both in the over-engaged range (Fusing), while Inhabitation and Identity are under-engaged (Severing). The aggregate Bond health sits in a reasonable range because the over-engaged and under-engaged centers offset each other. But the profile carries six active Traps, including Codependence (Bond × Relational, over-engaged, escape via the Choice Gate) and Identity Dissolution (Bond × Mental, under-engaged, escape via the Feeling Gate). The Bond variance metric, the same metric that predicted 14.4% of Trap count variance across the full study, is elevated.

At the same time, the Open row shows its own variance pattern: Empathy is flooding (over-engaged) while Sensitivity is closing (under-engaged). Open variance is high, and Empathic Overwhelm is active, with its escape running through the Discernment Gate. The two variance patterns interact: the client is absorbing others’ emotions without physical grounding (Open variance) and fusing in relationships without stable identity (Bond variance). Neither pattern would be visible from the row averages, which both look moderate.

Here’s where the converging findings from this family transform the formulation. The Capacity-hierarchy study tells us these two rows are independent, the Open pattern isn’t causing the Bond pattern or vice versa. They need separate attention. The Capacity-interaction study confirms there’s no cross-row spillover to count on; strengthening Open won’t improve Bond. And the variance findings from both the Bond and Open studies identify the specific structural vulnerabilities: it’s the unevenness within each row, not the level, that’s generating the Traps.

The Centering Plan sequences the work through the structural dependencies. The Identity Gate (Bond × Mental) is the escape route for Codependence, and it’s currently constrained because Identity is under-engaged. The Discernment Gate (Focus × Emotional) is the escape route for Empathic Overwhelm. The plan might sequence Identity Gate work first, grounding the client’s sense of self before addressing the relational over-engagement, because Identity stabilization structurally constrains the Codependence loop. As Identity moves toward centered, Bond variance decreases, and the geometric conditions holding the Trap in place begin to dissolve. The Empathic Overwhelm work follows through the Discernment Gate, addressing the Open-row variance pattern once the Bond-row structural foundation is more stable.

Without this structural information, a clinician might focus on the presenting relational concerns and work on Belonging directly, which, given that Belonging is already over-engaged, risks reinforcing the very pattern that generates the Codependence Trap. Or they might work on emotional regulation for the overwhelm, targeting the symptom without touching the structural constraint. The Icosaglyph reframes the formulation: the client doesn’t lack connection or receptivity. She lacks balanced connection and balanced receptivity. The work isn’t about connecting more or receiving less, it’s about connecting and receiving where those Capacities are absent while modulating where they’re excessive.

The Timeline tracks progress at the specific centers targeted by the Centering Plan, monitoring whether Bond variance and Open variance are decreasing across sessions. It shows whether Traps are deactivating in the predicted order: Identity Dissolution resolving as the Identity Gate opens, Codependence loosening as Bond variance decreases, Empathic Overwhelm releasing as the Discernment Gate activates. Therapeutic valley prediction flags anticipated dips in Coherence during the change process, particularly relevant when early intervention steps temporarily destabilize a compensatory pattern (the over-engaged Belonging that was masking the under-engaged Identity) before a new equilibrium forms.

Connections Across the Research

The Capacity family’s findings connect directly to two other families in the validation program. The Coherence family examines how the five layers of the Coherence formula (of which Capacity flow is one) contribute to the overall integration score. That family found 5.0 effective dimensions across the five layers, meaning no single layer dominates. The Capacity family’s null H1 results explain why: if individual Capacity health doesn’t predict Coherence, then the Capacity-flow layer can’t dominate the formula. The signal in the Capacity-flow layer comes from the pattern across all four rows simultaneously, not from any single row’s contribution.

The constructs family provides the downstream connection. That family found that Trap count correlates with Coherence at rₛ = −0.61, a strong effect establishing Traps as a primary structural driver of integration. The Capacity family identifies one of the mechanisms that generates those Traps: within-row variance. Bond variance predicts Trap count at r = 0.38, and Open variance at r = 0.36. The chain is: uneven Capacity engagement within a row → Trap activation → Coherence reduction. The variance findings in this family feed into the Trap findings in the constructs family, which in turn feed into the Coherence score that the Coherence family decomposes. It’s a single structural pathway examined at different levels of the model’s architecture.

Operational Impact

For practices evaluating Icosa Atlas, this family of findings provides a concrete evidence base for two claims. First, the assessment needs to operate at the center level, not the Capacity level, and the profiler is designed to do exactly that. Row-level summaries that other instruments might report would miss the variance patterns that account for 12–14% of Trap vulnerability. The Icosaglyph’s 20-center resolution, combined with Gateway status detection and Trap identification, captures the structural information that actually predicts where clients get stuck. Second, the Centering Plan’s cross-row intervention sequencing is empirically grounded: because the Capacities are independent (4.0 effective dimensions) and row health doesn’t predict Coherence, the plan correctly targets specific Gateways and centers rather than broad Capacity-level goals. That precision reduces the exploratory phase of treatment; instead of spending sessions discovering that a client’s relational strengths coexist with somatic disconnection, the structural pattern is visible at intake.

For outcome tracking, within-row variance provides a concrete progress indicator that’s more specific than global Coherence change and more clinically meaningful than any single center score. As Bond variance decreases across retakes (meaning the client is developing more even connection across Domains), Trap count should decline in parallel. That’s a measurable, session-by-session structural marker of the integrative work that distinguishes depth-oriented therapy from surface-level symptom management. For practices positioning themselves as evidence-based, the ability to show referral sources and payers a structural model with computed intervention sequences, tracked variance metrics, and predicted Trap deactivation timelines is a differentiator that row-level personality summaries can’t match.

Summary

For clinical directors evaluating Icosa Atlas, these findings answer a practical question: what level of resolution does personality assessment actually need to support effective intervention? The data is unambiguous. Row-level summaries (the kind of broad processing-style categories that many instruments report) capture none of the structural information that predicts dysfunction. Bond health, Focus health, Open health, Move health: all correlate at or near zero with overall integration. The clinical signal lives one level deeper, in the specific pattern within each Capacity row and in the Gateway-Trap architecture those patterns create.

This isn’t a limitation of Icosa Atlas; it’s a property of how personality organizes itself in this framework. The variance that accounts for 12–14% of all Trap vulnerability isn’t visible at the Capacity level. The Gateway constraints that lock multiple Traps in place don’t show up in row averages. The Basin dynamics that hold compensatory patterns stable can’t be inferred from aggregate scores. Your assessment tool either operates at the 20-center resolution where these structures become visible, or it misses them entirely.

What becomes possible with that resolution is a different kind of intake conversation. Instead of spending the first month discovering that a client’s relational strengths coexist with identity confusion and somatic disconnection, you see the full structural pattern at session one. The Centering Plan identifies which Gateway to target first, which Traps that Gateway will release, and what Coherence gain to expect from the sequence. The Timeline tracks whether variance is decreasing across sessions, a measurable structural marker of integrative work, not symptom suppression, and shows whether Traps are deactivating in the order the model predicted. For practices positioning themselves around depth and precision, this is what evidence-based assessment at the personality level actually looks like.

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Hierarchical Structure Among the Four Icosa Capacities: Mean Differences, Cross-Capacity Variance, and Latent Dimensionality N = 10,169 · 3 findings
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