DAISIE_ML  R Documentation 
This function computes the maximum likelihood estimates of the parameters of
the DAISIE model with cladespecific diversitydependence for data from
lineages colonizing an island. It also outputs the corresponding
loglikelihood that can be used in model comparisons.
The result of sort(c(idparsopt, idparsfix, idparsnoshift)) should be
identical to c(1:10). If not, an error is reported that the input is
incoherent. The same happens when the length of initparsopt is different
from the length of idparsopt, and the length of parsfix is different from
the length of idparsfix.
Including the 11th parameter (p_f) in either
idparsopt or idparsfix (and therefore initparsopt or parsfix) is optional.
If this parameter is not specified, then the information in the data is
used, otherwise the information in the data is overruled.
DAISIE_ML_CS( datalist, datatype = "single", initparsopt, idparsopt, parsfix, idparsfix, idparsnoshift = 6:10, idparsmat = NULL, res = 100, ddmodel = 0, cond = 0, island_ontogeny = NA, eqmodel = 0, x_E = 0.95, x_I = 0.98, tol = c(1e04, 1e05, 1e07), maxiter = 1000 * round((1.25)^length(idparsopt)), methode = "lsodes", optimmethod = "subplex", CS_version = 1, verbose = 0, tolint = c(1e16, 1e10), jitter = 0, num_cycles = 1 )
datalist 
Data object containing information on colonisation and
branching times. This object can be generated using the DAISIE_dataprep
function, which converts a userspecified data table into a data object,
but the object can of course also be entered directly.
It is an R list object with the following elements. 
datatype 
Sets the type of data: 'single' for a single island or archipelago treated as one, and 'multiple' for multiple archipelagoes potentially sharing the same parameters. 
initparsopt 
The initial values of the parameters that must be optimized, they are all positive. 
idparsopt 
The ids of the parameters that must be optimized. The ids
are defined as follows: 
parsfix 
The values of the parameters that should not be optimized. 
idparsfix 
The ids of the parameters that should not be optimized, e.g. c(1,3) if lambda^c and K should not be optimized. 
idparsnoshift 
For datatype = 'single' only: The ids of the parameters that should not be different between two groups of species; This can only apply to ids 6:10, e.g. idparsnoshift = c(6,7) means that lambda^c and mu have the same values for both groups. 
idparsmat 
For datatype = 'multiple' only: Matrix containing the ids
of the parameters, linking them to initparsopt and parsfix. Per island
system we use the following order: 
res 
Sets the maximum number of species for which a probability must be computed, must be larger than the size of the largest clade. 
ddmodel 
Sets the model of diversitydependence: 
cond 
cond = 0 : conditioning on island age 
island_ontogeny 
In 
eqmodel 
Sets the equilibrium constraint that can be used during the
likelihood optimization. Only available for datatype = 'single'. 
x_E 
Sets the fraction of the equlibrium endemic diversity above which the endemics are assumed to be in equilibrium; only active for eqmodel = 13 or 15. 
x_I 
Sets the fraction of the equlibrium nonendemic diversity above which the system is assumed to be in equilibrium; only active for eqmodel = 15. 
tol 
Sets the tolerances in the optimization. Consists of: 
maxiter 
Sets the maximum number of iterations in the optimization. 
methode 
Method of the ODEsolver. Supported Boost 
optimmethod 
Method used in likelihood optimization. Default is
'subplex' (see 'subplex()' for full details).
Alternative is 
CS_version 
a numeric or list. Default is 1 for the standard DAISIE model, for a relaxedrate model a list with the following elements:

verbose 
In simulation and dataprep functions a logical,

tolint 
Vector of two elements containing the absolute and relative tolerance of the integration. 
jitter 
Numeric for 
num_cycles 
The number of cycles the optimizer will go through. Default is 1. 
The output is a dataframe containing estimated parameters and maximum loglikelihood.
lambda_c 
gives the maximum likelihood estimate of lambda^c, the rate of cladogenesis 
mu 
gives the maximum likelihood estimate of mu, the extinction rate 
K 
gives the maximum likelihood estimate of K, the carryingcapacity 
gamma 
gives the maximum likelihood estimate of gamma, the immigration rate 
lambda_a 
gives the maximum likelihood estimate of lambda^a, the rate of anagenesis 
lambda_c2 
gives the maximum likelihood estimate of lambda^c2, the rate of cladogenesis for the optional second group of species 
mu2 
gives the maximum likelihood estimate of mu2, the extinction rate for the optional second group of species 
K2 
gives the maximum likelihood estimate of K2, the carryingcapacity for the optional second group of species 
gamma2 
gives the maximum likelihood estimate of gamma2, the immigration rate for the optional second group of species 
lambda_a2 
gives the maximum likelihood estimate of lambda^a2, the rate of anagenesis for the optional second group of species 
loglik 
gives the maximum loglikelihood 
df 
gives the number of estimated parameters, i.e. degrees of feedom 
conv 
gives a message on convergence of optimization; conv = 0 means convergence 
Rampal S. Etienne
Valente, L.M., A.B. Phillimore and R.S. Etienne (2015). Equilibrium and nonequilibrium dynamics simultaneously operate in the Galapagos islands. Ecology Letters 18: 844852. <DOI:10.1111/ele.12461>.
DAISIE_loglik_all
,
DAISIE_sim_cr
,
DAISIE_sim_time_dep
,
DAISIE_sim_cr_shift
cat(" ### When all species have the same rates, and we want to optimize all 5 parameters, # we use: utils::data(Galapagos_datalist) DAISIE_ML( datalist = Galapagos_datalist, initparsopt = c(2.5,2.7,20,0.009,1.01), ddmodel = 11, idparsopt = 1:5, parsfix = NULL, idparsfix = NULL ) ### When all species have the same rates, and we want to optimize all parameters # except K (which we set equal to Inf), we use: utils::data(Galapagos_datalist) DAISIE_ML( datalist = Galapagos_datalist, initparsopt = c(2.5,2.7,0.009,1.01), idparsopt = c(1,2,4,5), parsfix = Inf, idparsfix = 3 ) ### When all species have the same rates except that the finches have a different # rate of cladogenesis, and we want to optimize all parameters except K (which we # set equal to Inf), fixing the proportion of finchtype species at 0.163, we use: utils::data(Galapagos_datalist_2types) DAISIE_ML( datalist = Galapagos_datalist_2types, initparsopt = c(0.38,0.55,0.004,1.1,2.28), idparsopt = c(1,2,4,5,6), parsfix = c(Inf,Inf,0.163), idparsfix = c(3,8,11), idparsnoshift = c(7,9,10) ) ### When all species have the same rates except that the finches have a different # rate of cladogenesis, extinction and a different K, and we want to optimize all # parameters, fixing the proportion of finchtype species at 0.163, we use: utils::data(Galapagos_datalist_2types) DAISIE_ML( datalist = Galapagos_datalist_2types, ddmodel = 11, initparsopt = c(0.19,0.09,0.002,0.87,20,8.9,15), idparsopt = c(1,2,4,5,6,7,8), parsfix = c(Inf,0.163), idparsfix = c(3,11), idparsnoshift = c(9,10) ) ### When all species have the same rates except that the finches have a different # rate of extinction, and we want to optimize all parameters except K (which we # set equal to Inf), and we also# want to estimate the fraction of finch species # in the mainland pool. we use: utils::data(Galapagos_datalist_2types) DAISIE_ML( datalist = Galapagos_datalist_2types, initparsopt = c(2.48,2.7,0.009,1.01,2.25,0.163), idparsopt = c(1,2,4,5,7,11), parsfix = c(Inf,Inf), idparsfix = c(3,8), idparsnoshift = c(6,9,10) ) ### When we have two islands with the same rates except for immigration and anagenesis rate, # and we want to optimize all parameters, we use: utils::data(Galapagos_datalist) DAISIE_ML( datalist = list(Galapagos_datalist,Galapagos_datalist), datatype = 'multiple', initparsopt = c(2.5,2.7,20,0.009,1.01,0.009,1.01), idparsmat = rbind(1:5,c(1:3,6,7)), idparsopt = 1:7, parsfix = NULL, idparsfix = NULL ) ### When we consider the four Macaronesia archipelagoes and set all parameters the same # except for rates of cladogenesis, extinction and immigration for Canary Islands, # rate of cladogenesis is fixed to 0 for the other archipelagoes, # diversitydependence is assumed to be absent # and we want to optimize all parameters, we use: utils::data(Macaronesia_datalist) DAISIE_ML( datalist = Macaronesia_datalist, datatype = 'multiple', initparsopt = c(1.053151832,0.052148979,0.512939011,0.133766934,0.152763179), idparsmat = rbind(1:5,c(6,2,3,7,5),1:5,1:5), idparsopt = c(2,4,5,6,7), parsfix = c(0,Inf), idparsfix = c(1,3) ) ")
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