Riassumendo visivamente un disordine di segmenti di linea diretta

Ho un set di dati di milioni di segmenti di linea diretta. I segmenti di linea sono sequenziali: è una variabile climatica (calore sensibile), con valori osservati e simulati a intervalli di mezz'ora. Sto cercando di cercare modelli su come sta andando la simulazione. Sto osservando un diagramma a dispersione di valori obs vs simulazione e li collego con segmenti di linea (le frecce indicano la direzione del tempo). Se li complotto, ho solo un pasticcio sfocato che è impossibile da interpretare, in questo modo:

Questo è un sottoinsieme di 10000 linee, tracciato bene e con bassa opacità:

ggplot(d, aes(x=Qh_obs, xend=lead(Qh_obs), y=Qh_sim, yend=lead(Qh_sim))) +
  geom_segment(size=0.1, alpha=0.2, arrow=arrow(length=unit(2, units='mm')))

dput() delle prime 700 righe di dati (limitato dalla lunghezza della posta):

structure(
    list(
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Sono interessato a provare a riassumere visivamente il flusso di queste linee. Esistono modi comuni per sintetizzare questo tipo di informazioni? Potrei semplicemente fare un diagramma di campo vettoriale, ma penso che perderei alcune informazioni rilevanti - in particolare, alcune delle aree più dense probabilmente hanno più gruppi di segmenti. Sto pensando di raggruppare i segmenti (usando le quattro variabili come caratteristiche), quindi di tracciare le medie, o forse di creare un campo vettoriale di rose dei venti, ma volevo vedere se ci fossero modi migliori per farlo.

Puoi anche dividere in blocchi di tempo e creare trame sfaccettate. Ciò sarebbe d'aiuto se il flusso torna indietro e avanti su se stesso alcune volte.

Potrebbe essere possibile smussare i segmenti anche per avere un senso del flusso, ma penso che la sfaccettatura sarebbe un primo passo.

Una possibilità sarebbe quella di calcolare la media tra i giorni, per ottenere uno o alcuni cicli "medi" giornalieri anziché più di 1.000 giorni individuali.

Un'altra idea potrebbe essere una rappresentazione 3D come in Tominski, Schumann, Andrienko e Andrienko (2012) .

Riferimento:

Tominski, C., Schumann, H., Andrienko, G., Andrienko, N. (2012). Visualizzazione basata su stacking dei dati degli attributi della traiettoria. Visualizzazione e computer grafica, Transazioni IEEE su , vol.18, n. 12, pp. 2565,2574, dicembre 2012. doi: 10.1109 / TVCG.2012.265. http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6327262&isnumber=6327196