Wizualne podsumowanie bałaganu skierowanych segmentów linii

Mam zestaw danych milionów ukierunkowanych segmentów linii. Segmenty linii są sekwencyjne - jest to zmienna klimatyczna (ciepło jawne), z obserwowanymi i symulowanymi wartościami w odstępach półgodzinnych. Staram się szukać wzorców w działaniu symulacji. Patrzę na wykres rozrzutu wartości obs vs vs i łączę je z segmentami linii (strzałki wskazują kierunek czasu). Jeśli je wykreślę, dostaję niewyraźnego bałaganu, którego nie można zinterpretować, na przykład:

Jest to podzbiór 10000 linii, wykreślonych dobrze i przy niskim stopniu krycia:

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() z pierwszych 700 wierszy danych (ograniczona długością postu):

structure(
    list(
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    )

Jestem zainteresowany próbą wizualnego podsumowania przepływu tych linii. Czy są jakieś wspólne sposoby podsumowywania tego rodzaju informacji? Mógłbym po prostu wykonać wykres pola wektorowego, ale myślę, że straciłbym kilka istotnych informacji - w szczególności niektóre z bardziej zagęszczonych obszarów prawdopodobnie zawierają wiele grup segmentów. Zastanawiam się nad zgrupowaniem segmentów (używając czterech zmiennych jako cech), a następnie wykreśleniem średnich, a może wykonaniem pola wektorowego róż wiatrów, ale chciałem sprawdzić, czy istnieją lepsze sposoby na poradzenie sobie z tym.

Możesz także podzielić się na fragmenty czasu i tworzyć fasetowane wykresy. Pomogłoby to, gdyby przepływ kilkakrotnie przewijał się w przód i w tył.

Wygładzenie segmentów może być również możliwe, aby uzyskać pewien przepływ, ale myślę, że fasetowanie byłoby pierwszym krokiem.

Jedną z możliwości byłoby uśrednienie w ciągu kilku dni, uzyskanie jednego lub kilku „średnich” cykli dziennych zamiast ponad 1000 pojedynczych dni.

Innym pomysłem może być trójwymiarowa reprezentacja, jak u Tominskiego, Schumanna, Andrienko i Andrienko (2012) .

Odniesienie:

Tominski, C., Schumann, H., Andrienko, G., Andrienko, N. (2012). Wizualizacja oparta na stosie danych atrybutów trajektorii. Wizualizacja i grafika komputerowa, IEEE Transactions on , vol.18, no.12, str.2565,2574, Dec. 2012. doi: 10.1109 / TVCG.2012.265. http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6327262&isnumber=6327196