def bootstrap_ISD(name_site_combo, model, in_dir = './data/', out_dir = './out_files/', Niter = 200):
"""A general function of bootstrapping for ISD applying to all four models.
Inputs:
name_site_combo: a list with dat_name and site
model - takes one of four values 'ssnt_0', 'ssnt_1', 'asne', or 'agsne'
in_dir - directory of raw data
out_dir - directory used both in input (obs_pred.csv file) and output
Niter - number of bootstrap samples
Output:
Writes to disk, with one file for R^2 and one for KS statistic.
"""
dat_name, site = name_site_combo
dat = wk.import_raw_data(in_dir + dat_name + '.csv')
dat_site = dat[dat['site'] == site]
dat_clean = clean_data_agsne(dat_site)
G, S, N, E = get_GSNE(dat_clean)
lambda1, beta, lambda3 = agsne.get_agsne_lambdas(G, S, N, E)
isd_agsne = mete_distributions.psi_agsne([G, S, N, E], [lambda1, beta, lambda3, agsne.agsne_lambda3_z(lambda1, beta, S) / lambda3])
isd_asne = mete_distributions.psi_epsilon_approx(S, N, E)
dbh_scaled = np.array(dat_clean['dbh'] / min(dat_clean['dbh']))
isd_ssnt_0 = ssnt_isd_bounded(1, N / (sum(dbh_scaled ** 1) - N))
isd_ssnt_1 = ssnt_isd_bounded(2/3, N / (sum(dbh_scaled ** (2/3)) - N))
dist_for_model = {'ssnt_0': isd_ssnt_0, 'ssnt_1': isd_ssnt_1, 'asne': isd_asne, 'agsne': isd_agsne}
dist = dist_for_model[model]
pred_obs = wk.import_obs_pred_data(out_dir + dat_name + '_obs_pred_isd_' + model + '.csv')
pred = pred_obs[pred_obs['site'] == site]['pred']
obs = pred_obs[pred_obs['site'] == site]['obs']
out_list_rsquare = [dat_name, site, str(mtools.obs_pred_rsquare(np.log10(obs), np.log10(pred)))]
wk.write_to_file(out_dir + 'ISD_bootstrap_' + model + '_rsquare.txt', ",".join(str(x) for x in out_list_rsquare), new_line = False)
emp_cdf = mtools.get_emp_cdf(obs)
out_list_ks = [dat_name, site, str(max(abs(emp_cdf - np.array([dist.cdf(x) for x in obs]))))]
wk.write_to_file(out_dir + 'ISD_bootstrap_' + model + '_ks.txt', ",".join(str(x) for x in out_list_ks), new_line = False)
num_pools = 8 # Assuming that 8 pools are to be created
for i in xrange(Niter):
obs_boot = []
cdf_boot = []
while len(obs_boot) < N:
pool = multiprocessing.Pool(num_pools)
out_sample = pool.map(wk.generate_isd_sample, [dist for j in xrange(num_pools)])
for combo in out_sample:
cdf_sublist, sample_sublist = combo
obs_boot.extend(sample_sublist)
cdf_boot.extend(cdf_sublist)
pool.close()
pool.join()
if model in ['asne', 'agsne']: obs_boot = np.sort(obs_boot[:N]) ** 0.5 # Convert to diameter
else: obs_boot = np.sort(obs_boot[:N])
sample_rsquare = mtools.obs_pred_rsquare(np.log10(obs_boot), np.log10(pred))
sample_ks = max(abs(emp_cdf - np.sort(cdf_boot[:N])))
wk.write_to_file(out_dir + 'ISD_bootstrap_' + model + '_rsquare.txt', "".join([',', str(sample_rsquare)]), new_line = False)
wk.write_to_file(out_dir + 'ISD_bootstrap_' + model + '_ks.txt', "".join([',', str(sample_ks)]), new_line = False)
wk.write_to_file(out_dir + 'ISD_bootstrap_' + model + '_rsquare.txt', '\t')
wk.write_to_file(out_dir + 'ISD_bootstrap_' + model + '_ks.txt', '\t')
wk.write_to_file(out_dir + 'ISD_bootstrap_' + model + '_ks.txt', ",".join(str(x) for x in out_list_ks))
def bootstrap_ISD(name_site_combo,
model,
in_dir='./data/',
out_dir='./out_files/',
Niter=200):
"""A general function of bootstrapping for ISD applying to all four models.
Inputs:
name_site_combo: a list with dat_name and site
model - takes one of four values 'ssnt_0', 'ssnt_1', 'asne', or 'agsne'
in_dir - directory of raw data
out_dir - directory used both in input (obs_pred.csv file) and output
Niter - number of bootstrap samples
Output:
Writes to disk, with one file for R^2 and one for KS statistic.
"""
dat_name, site = name_site_combo
dat = wk.import_raw_data(in_dir + dat_name + '.csv')
dat_site = dat[dat['site'] == site]
dat_clean = clean_data_agsne(dat_site)
G, S, N, E = get_GSNE(dat_clean)
lambda1, beta, lambda3 = agsne.get_agsne_lambdas(G, S, N, E)
isd_agsne = mete_distributions.psi_agsne([G, S, N, E], [
lambda1, beta, lambda3,
agsne.agsne_lambda3_z(lambda1, beta, S) / lambda3
])
isd_asne = mete_distributions.psi_epsilon_approx(S, N, E)
dbh_scaled = np.array(dat_clean['dbh'] / min(dat_clean['dbh']))
isd_ssnt_0 = ssnt_isd_bounded(1, N / (sum(dbh_scaled**1) - N))
isd_ssnt_1 = ssnt_isd_bounded(2 / 3, N / (sum(dbh_scaled**(2 / 3)) - N))
dist_for_model = {
'ssnt_0': isd_ssnt_0,
'ssnt_1': isd_ssnt_1,
'asne': isd_asne,
'agsne': isd_agsne
}
dist = dist_for_model[model]
pred_obs = wk.import_obs_pred_data(out_dir + dat_name + '_obs_pred_isd_' +
model + '.csv')
pred = pred_obs[pred_obs['site'] == site]['pred']
obs = pred_obs[pred_obs['site'] == site]['obs']
out_list_rsquare = [
dat_name, site,
str(mtools.obs_pred_rsquare(np.log10(obs), np.log10(pred)))
]
wk.write_to_file(out_dir + 'ISD_bootstrap_' + model + '_rsquare.txt',
",".join(str(x) for x in out_list_rsquare),
new_line=False)
emp_cdf = mtools.get_emp_cdf(obs)
out_list_ks = [
dat_name, site,
str(max(abs(emp_cdf - np.array([dist.cdf(x) for x in obs]))))
]
wk.write_to_file(out_dir + 'ISD_bootstrap_' + model + '_ks.txt',
",".join(str(x) for x in out_list_ks),
new_line=False)
num_pools = 8 # Assuming that 8 pools are to be created
for i in xrange(Niter):
obs_boot = []
cdf_boot = []
while len(obs_boot) < N:
pool = multiprocessing.Pool(num_pools)
out_sample = pool.map(wk.generate_isd_sample,
[dist for j in xrange(num_pools)])
for combo in out_sample:
cdf_sublist, sample_sublist = combo
obs_boot.extend(sample_sublist)
cdf_boot.extend(cdf_sublist)
pool.close()
pool.join()
if model in ['asne', 'agsne']:
obs_boot = np.sort(obs_boot[:N])**0.5 # Convert to diameter
else:
obs_boot = np.sort(obs_boot[:N])
sample_rsquare = mtools.obs_pred_rsquare(np.log10(obs_boot),
np.log10(pred))
sample_ks = max(abs(emp_cdf - np.sort(cdf_boot[:N])))
wk.write_to_file(out_dir + 'ISD_bootstrap_' + model + '_rsquare.txt',
"".join([',', str(sample_rsquare)]),
new_line=False)
wk.write_to_file(out_dir + 'ISD_bootstrap_' + model + '_ks.txt',
"".join([',', str(sample_ks)]),
new_line=False)
wk.write_to_file(out_dir + 'ISD_bootstrap_' + model + '_rsquare.txt', '\t')
wk.write_to_file(out_dir + 'ISD_bootstrap_' + model + '_ks.txt', '\t')
wk.write_to_file(out_dir + 'ISD_bootstrap_' + model + '_ks.txt',
",".join(str(x) for x in out_list_ks))
def get_mete_pred_isd_approx(S, N, E):
"""Obtain the dbh2 for N individuals predicted by METE, using the newly derived approximated ISD."""
psi_appox = mete_distributions.psi_epsilon_approx(S, N, E)
scaled_rank = [(x + 0.5) / N for x in range(N)]
pred = np.array([psi_appox.ppf(q) for q in scaled_rank])
return np.array(pred)
def get_mete_pred_isd_approx(S, N, E):
"""Obtain the dbh2 for N individuals predicted by METE, using the newly derived approximated ISD."""
psi_appox = mete_distributions.psi_epsilon_approx(S, N, E)
scaled_rank = [(x + 0.5) / N for x in range(N)]
pred = np.array([psi_appox.ppf(q) for q in scaled_rank])
return np.array(pred)
