def skyline_empirical(self, gen=1.0, n_points = 20):
        '''
        returns the skyline, i.e., an estimate of the inverse rate of coalesence.
        Here, the skyline is estimated from a sliding window average of the observed
        mergers, i.e., without reference to the coalescence likelihood.
        parameters:
            gen -- number of generations per year.
        '''

        mergers = self.tree_events[:,1]>0
        merger_tvals = self.tree_events[mergers,0]
        nlineages = self.nbranches(merger_tvals-ttconf.TINY_NUMBER)
        expected_merger_density = nlineages*(nlineages-1)*0.5

        nmergers = len(mergers)
        et = merger_tvals
        ev = 1.0/expected_merger_density
        # reduce the window size if there are few events in the tree
        if 2*n_points>len(expected_merger_density):
            n_points = len(ev)//4

        # smoothes with a sliding window over data points
        avg = np.sum(ev)/np.abs(et[0]-et[-1])
        dt = et[0]-et[-1]
        mid_points = np.concatenate(([et[0]-0.5*(et[1]-et[0])],
                                      0.5*(et[1:] + et[:-1]),
                                     [et[-1]+0.5*(et[-1]-et[-2])]))

        # this smoothes the ratio of expected and observed merger rate
        self.Tc_inv = interp1d(mid_points[n_points:-n_points],
                        [np.sum(ev[(et>=l)&(et<u)])/(u-l+dt/nmergers)
                        for u,l in zip(mid_points[:-2*n_points],mid_points[2*n_points:])])

        return interp1d(self.date2dist.to_numdate(self.Tc_inv.x), gen/self.date2dist.clock_rate/self.Tc_inv.y)
def skyline_empirical(self, gen=1.0, n_points = 20):
        '''
        returns the skyline, i.e., an estimate of the inverse rate of coalesence.
        Here, the skyline is estimated from a sliding window average of the observed
        mergers, i.e., without reference to the coalescence likelihood.
        parameters:
            gen -- number of generations per year.
        '''

        mergers = self.tree_events[:,1]>0
        merger_tvals = self.tree_events[mergers,0]
        nlineages = self.nbranches(merger_tvals-ttconf.TINY_NUMBER)
        expected_merger_density = nlineages*(nlineages-1)*0.5

        nmergers = len(mergers)
        et = merger_tvals
        ev = 1.0/expected_merger_density
        # reduce the window size if there are few events in the tree
        if 2*n_points>len(expected_merger_density):
            n_points = len(ev)//4

        # smoothes with a sliding window over data points
        avg = np.sum(ev)/np.abs(et[0]-et[-1])
        dt = et[0]-et[-1]
        mid_points = np.concatenate(([et[0]-0.5*(et[1]-et[0])],
                                      0.5*(et[1:] + et[:-1]),
                                     [et[-1]+0.5*(et[-1]-et[-2])]))

        # this smoothes the ratio of expected and observed merger rate
        self.Tc_inv = interp1d(mid_points[n_points:-n_points],
                        [np.sum(ev[(et>=l)&(et<u)])/(u-l+dt/nmergers)
                        for u,l in zip(mid_points[:-2*n_points],mid_points[2*n_points:])])

        return interp1d(self.date2dist.to_numdate(self.Tc_inv.x), gen/self.date2dist.clock_rate/self.Tc_inv.y)
def skyline_empirical ( self , gen = 1.0 , n_points = 20 ) : mergers = self . tree_events [ : , 1 ] > 0 merger_tvals = self . tree_events [ mergers , 0 ] nlineages = self . nbranches ( merger_tvals - ttconf . TINY_NUMBER ) expected_merger_density = nlineages * ( nlineages - 1 ) * 0.5 nmergers = len ( mergers ) et = merger_tvals ev = 1.0 / expected_merger_density # reduce the window size if there are few events in the tree if 2 * n_points > len ( expected_merger_density ) : n_points = len ( ev ) // 4 # smoothes with a sliding window over data points avg = np . sum ( ev ) / np . abs ( et [ 0 ] - et [ - 1 ] ) dt = et [ 0 ] - et [ - 1 ] mid_points = np . concatenate ( ( [ et [ 0 ] - 0.5 * ( et [ 1 ] - et [ 0 ] ) ] , 0.5 * ( et [ 1 : ] + et [ : - 1 ] ) , [ et [ - 1 ] + 0.5 * ( et [ - 1 ] - et [ - 2 ] ) ] ) ) # this smoothes the ratio of expected and observed merger rate self . Tc_inv = interp1d ( mid_points [ n_points : - n_points ] , [ np . sum ( ev [ ( et >= l ) & ( et < u ) ] ) / ( u - l + dt / nmergers ) for u , l in zip ( mid_points [ : - 2 * n_points ] , mid_points [ 2 * n_points : ] ) ] ) return interp1d ( self . date2dist . to_numdate ( self . Tc_inv . x ) , gen / self . date2dist . clock_rate / self . Tc_inv . y )
returns the skyline, i.e., an estimate of the inverse rate of coalesence.
        Here, the skyline is estimated from a sliding window average of the observed
        mergers, i.e., without reference to the coalescence likelihood.
        parameters:
            gen -- number of generations per year.
returns the skyline i . e . an estimate of the inverse rate of coalesence . Here the skyline is estimated from a sliding window average of the observed mergers i . e . without reference to the coalescence likelihood . parameters : gen -- number of generations per year .