Titan U glossary

Correlation CoefficientCC

Correlation coefficient is a dual-polarization radar variable that measures how consistently the horizontal and vertical returns from a sampled volume look alike, revealing how uniform the scatterers inside that volume are.

Correlation coefficient is a dual-polarization radar variable that measures how consistently the horizontal and vertical returns from a sampled volume look alike. Its scale runs from 0 to 1, where 1 means the scatterers inside the volume are essentially uniform in shape, size, and orientation, and lower values mean the volume contains a chaotic mix.

What CC is physically saying

A modern WSR-88D transmits pulses in both horizontal and vertical polarizations. Rain drops flatten as they fall, so their horizontal returns look different from their vertical returns in a predictable way. When every drop in the volume is doing the same thing, the two returns stay tightly correlated pulse to pulse, and CC sits near 1.

When the volume contains a mix of scatterers, such as rain with hail, melting snowflakes with rain, or tumbling debris of many sizes and orientations, the two channels stop tracking together and CC drops. CC is not measuring shape directly. It is measuring how consistent the shape mix inside the pulse volume is.

Reading CC values

Uniform rain and uniform snow typically produce CC above about 0.97. Mixed precipitation, such as rain and hail together, wet snow, or melting graupel, tends to fall in the 0.85 to 0.97 range, and the melting layer often shows a horizontal band of reduced CC that helps meteorologists locate the freezing level in stratiform rain.

Values below about 0.80 usually indicate non-meteorological targets or highly chaotic mixtures. Birds, insects, dust, smoke, wildfire ash, chaff, and ground clutter all read low. So does lofted tornado debris, which is why CC is the anchor for the tornado debris signature.

Tornado debris signature

A tornado debris signature, or TDS, is a small area of CC below roughly 0.80 that is co-located with a strong low-level velocity couplet and moderate to high reflectivity. The low CC is the tornado lofting boards, insulation, soil, and vegetation of many shapes and sizes into the same radar volume.

A TDS is powerful confirmation because it shows physical debris in the air. It has important limits, though. It cannot appear until a tornado has lofted debris high enough to be sampled by a lifted radar beam, which means weak, brief, or open-country tornadoes may never produce one. Distance from the radar, terrain, and beam height all affect whether a real tornado shows a TDS at all.

Where CC misleads

CC is noisy in weak signal, so isolated low pixels at the edge of a storm can be sampling artifacts rather than real changes in the target. It also grows less reliable at long range, where beam broadening blends dissimilar targets into the same volume and pulls the value down.

Interpret CC with reflectivity and velocity in view. Rain surrounded by a clean, high CC field, a debris ball with a tight velocity couplet in low-level scans, and a bright band of reduced CC across a stratiform region each tell a different story, and none of them can be read from CC alone.

Keep going

How Correlation Coefficient connects

Builds on 1

  • Radar Beam

    Correlation coefficient is built from the returns of one beam volume, so knowing what the radar beam samples comes before reading the value.

Leads to 4

  • Hydrometeor Classification Algorithm

    The HCA weighs correlation coefficient along with other dual-polarization fields to pick the best-fitting echo class.

  • Radar Precipitation Type

    Radar precipitation type leans on correlation coefficient, which is high in dry snow and drops as snow begins to melt.

  • Specific Differential Phase

    Specific differential phase can only be trusted where correlation coefficient is high, so it goes noisy or gets masked in hail, debris and mixed-phase areas.

  • Tornado Debris Signature

    A tornado debris signature hinges on correlation coefficient falling well below what rain or hail produce, because lofted debris is a jumble of shapes and sizes.

Contrasts with 1

  • Differential Reflectivity

    Correlation coefficient tells you how uniform the targets in a volume are, while differential reflectivity tells you their average shape, so the two answer different questions.

Appears here 7

  • Bright Band

    Correlation coefficient often dips in the bright band, since ice, wet snow and rain are mixed in the same sample volume there.

  • Radar Artifact

    Correlation coefficient often flags artifacts such as clutter and biological echoes as low values, which helps separate them from weather.

  • Anomalous Propagation

    Correlation coefficient helps flag anomalous propagation, since non-weather echoes typically read lower than weather echoes.

  • Ground Clutter

    Ground clutter often stands out on correlation coefficient as low values that separate from most precipitation.

  • Hail

    Reduced correlation coefficient in a reflectivity core is another radar cue for hail, especially where rain and hail are mixed.

  • Melting Layer

    The melting layer often shows a horizontal band of reduced correlation coefficient, which helps locate the freezing level in stratiform rain.

Show 1 more
  • Three-Body Scatter Spike

    A three-body scatter spike can stand out on correlation coefficient as a low-value streak behind the hail core.