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storm_census.py
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storm_census.py
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'''
Calculate storm census statistics
for tracked storms
'''
#
# Load required modules
#
import numpy as np
from matplotlib import pyplot as plt
import mpl_toolkits.basemap as bm
#
# Load storm data
#
data = np.load('storm_track.npz')
storms = data['storms']
#
# Some variables
#
# Cyclone properties
dt = 6. # Time step [hours]
age_min_hours = 72 # Minimum cyclone age to consider [hours]
age_min = age_min_hours/dt # [time steps]
# Census grid
lon = np.arange(0, 360+1, 2)
lat = np.arange(-90, 90+1, 2)
llon, llat = np.meshgrid(lon, lat)
X = len(lon)
Y = len(lat)
DIM = (Y,X)
#
# Calculate statistics
#
N = np.zeros(DIM) # Count of track positions
Nc = np.zeros(DIM) # Cyclones only
Na = np.zeros(DIM) # Anticyclones only
gen = np.zeros(DIM) # Count of genesis positions
genc = np.zeros(DIM)
gena = np.zeros(DIM)
term = np.zeros(DIM) # Count of termination positions
termc = np.zeros(DIM)
terma = np.zeros(DIM)
Nc_unique = np.zeros(DIM) # Unique counts
Na_unique = np.zeros(DIM)
counted = -1*np.ones(DIM, dtype=np.object)
amp = np.zeros(DIM) # Amplitude (central pressure)
ampc = np.zeros(DIM)
ampa = np.zeros(DIM)
for ed in range(len(storms)):
print ed, len(storms)
if (storms[ed]['age'] >= age_min ):
for t in range(storms[ed]['age']):
i = np.where((lon > storms[ed]['lon'][t]-1) * (lon < storms[ed]['lon'][t]))[0]
j = np.where((lat > storms[ed]['lat'][t]-1) * (lat < storms[ed]['lat'][t]))[0]
if len(j)>0 and len(i)>0:
# Count of storms and their average amplitude
amp[j,i] += storms[ed]['amp'][t]
N[j,i] += 1
if storms[ed]['type'] == 'anticyclonic':
Na[j,i] += 1
ampa[j,i] += storms[ed]['amp'][t]
else:
Nc[j,i] += 1
ampc[j,i] += storms[ed]['amp'][t]
# Genesis (first location)
if t == 0:
gen[j,i] += 1
if storms[ed]['type'] == 'anticyclonic':
gena[j,i] += 1
else:
genc[j,i] += 1
# Termination (last location)
if t == storms[ed]['age']-1:
term[j,i] += 1
if storms[ed]['type'] == 'anticyclonic':
terma[j,i] += 1
else:
termc[j,i] += 1
# Unique counts
firstcount = type(counted[j[0],i[0]])==type(-1)
notcountedyet = False
if not firstcount:
notcountedyet = not (ed in counted[j[0],i[0]])
if firstcount or notcountedyet:
if storms[ed]['type'] == 'anticyclonic':
Na_unique[j,i] += 1
else:
Nc_unique[j,i] += 1
counted[j[0],i[0]] = np.append(counted[j[0],i[0]], ed)
# Calculate totals and averages as appropriate
N_unique = Nc_unique + Na_unique
cyc = Nc_unique / Na_unique
pcyc = Nc_unique / N_unique
amp /= N
ampc /= Nc
ampa /= Na
#
# Plots
#
# Set up projection
proj = bm.Basemap(projection='robin', lon_0=180, resolution='c')
lonproj, latproj = proj(llon, llat)
# Distribution of cyclone tracks and intensity (and for anticyclones)
plt.figure()
plt.clf()
plt.subplot(2,2,1)
proj.drawcoastlines(linewidth=0.5)
plt.contourf(lonproj, latproj, Nc_unique, levels=np.append(np.arange(0, 250+1, 25), 10000), cmap=plt.cm.hot_r)
plt.title('Count of cyclone tracks')
H = plt.colorbar()
H.set_label('count')
plt.clim(0, 250)
plt.subplot(2,2,2)
proj.drawcoastlines(linewidth=0.5)
plt.contourf(lonproj, latproj, ampc, 24, cmap=plt.cm.rainbow)
H = plt.colorbar()
H.set_label('Pa')
plt.clim(95000, 101000)
plt.title('Average cyclone central pressure')
plt.subplot(2,2,3)
proj.drawcoastlines(linewidth=0.5)
plt.contourf(lonproj, latproj, Na_unique, levels=np.append(np.arange(0, 250+1, 25), 10000), cmap=plt.cm.hot_r)
plt.title('Count of anticyclone tracks')
H = plt.colorbar()
H.set_label('count')
plt.clim(0, 250)
plt.subplot(2,2,4)
proj.drawcoastlines(linewidth=0.5)
plt.contourf(lonproj, latproj, ampa, 24, cmap=plt.cm.rainbow)
H = plt.colorbar()
H.set_label('Pa')
plt.clim(101000, 105000)
plt.title('Average anticyclone central pressure')
# plt.savefig('figures/storm_distribution.png', bbox_inches='tight', pad_inches=0.05, dpi=300)
# Distribution of cyclone genesis and termination points (and for anticyclones)
plt.figure()
plt.clf()
plt.subplot(2,2,1)
proj.drawcoastlines(linewidth=0.5)
plt.contourf(lonproj, latproj, genc, levels=np.append(np.arange(0, 40+1, 5), 500), cmap=plt.cm.hot_r)
plt.title('Count of cyclone genesis')
H = plt.colorbar()
H.set_label('count')
plt.clim(0, 40)
plt.subplot(2,2,2)
proj.drawcoastlines(linewidth=0.5)
plt.contourf(lonproj, latproj, termc, levels=np.append(np.arange(0, 40+1, 5), 500), cmap=plt.cm.hot_r)
plt.title('Count of cyclone termination')
H = plt.colorbar()
H.set_label('count')
plt.clim(0, 40)
plt.subplot(2,2,3)
proj.drawcoastlines(linewidth=0.5)
plt.contourf(lonproj, latproj, gena, levels=np.append(np.arange(0, 40+1, 5), 500), cmap=plt.cm.hot_r)
plt.title('Count of anticyclone genesis')
H = plt.colorbar()
H.set_label('count')
plt.clim(0, 40)
plt.subplot(2,2,4)
proj.drawcoastlines(linewidth=0.5)
plt.contourf(lonproj, latproj, terma, levels=np.append(np.arange(0, 40+1, 5), 500), cmap=plt.cm.hot_r)
plt.title('Count of anticyclone termination')
H = plt.colorbar()
H.set_label('count')
plt.clim(0, 40)
# plt.savefig('figures/storm_genesis_termination.png', bbox_inches='tight', pad_inches=0.05, dpi=300)
# Proportion of cyclones to anticyclones
plt.clf()
plt.subplot(2,2,1)
proj.drawcoastlines(linewidth=0.5)
plt.contourf(lonproj, latproj, pcyc, 24, cmap=plt.cm.RdBu)
plt.title('Proportion of cyclones (vs. anticyclones)')
H = plt.colorbar()
H.set_label('Proportion (1 = all cylones, 0 = all anticyclones)')
plt.clim(0, 1)
# plt.savefig('figures/storm_proportion', bbox_inches='tight', pad_inches=0.05, dpi=300)