AbstractTrees interface
A BranchingProcessSolution is an AbstractTrees instance in which each node is represented by an AbstractSciMLSolution. Hence useful statistics of the sampled branching process trajectory can be obtained by combining features of these two types.
Tree statistics
Useful tree statistics can be obtained directly from the AbstractTrees interface. To illustrate this, consider the example of branching Brownian motion:
using StochasticDiffEq, BranchingProcesses
f(u,p,t) = 0.0
g(u,p,t) = 1.0
u0 = 0.0
tspan = (0.0, 5.0)
bm = SDEProblem(f,g, u0, tspan)
λ = 1.0
nchild = 2
bbm = ConstantRateBranchingProblem(bm, λ, nchild)
sol = solve(bbm, EM(); dt=0.01)BranchingProcessSolution{ConstantRateBranchingProblem{SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, Union{}, Nothing, @NamedTuple{}}, Nothing}, Exponential{Float64}, Int64}, RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}(ConstantRateBranchingProblem{SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, Union{}, Nothing, @NamedTuple{}}, Nothing}, Exponential{Float64}, Int64}(SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, Union{}, Nothing, @NamedTuple{}}, Nothing}(SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}(Main.f, Main.g, LinearAlgebra.UniformScaling{Bool}(true), nothing, nothing, nothing, nothing, nothing, nothing, nothing, nothing, nothing, nothing, nothing, SciMLBase.DEFAULT_OBSERVED, nothing, nothing, nothing), Main.g, 0.0, (0.0, 5.0), NullParameters(), nothing, Base.Pairs{Symbol, Union{}, Nothing, @NamedTuple{}}(), nothing, 0x0000000000000000), Exponential{Float64}(θ=1.0), 2, 0), BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}([0.0, 0.011279224313716437, -0.05567609549926506, -0.0634540842750384, -0.16595495440246544, -0.20741498758859833, -0.09163421774352495, -0.1458378524324478, -0.2654898863314643, -0.4080152163467406 … -0.17638364582239438, -0.21218217163650308, -0.20300557994212792, -0.04810525464273868, 0.06774756472002545, 0.08987029359070359, 0.10204895722619611, -0.0974117490210061, -0.20336966233379922, -0.28617955248698745], BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}[BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}([-0.28617955248698745, -0.33132622959829133, -0.44337043719315755, -0.47809085788482486, -0.36922357944028583, -0.23480263720782413, -0.12988099774636253, -0.29884734180135375, -0.2100735739231498, -0.11774647321047255 … -0.7773579568419154, -0.7823676461630916, -0.7539033760086835, -0.735252999791049, -0.9044021317844265, -0.9236918089306343, -0.9166571962583107, -0.7899341354751921, -0.658166780815107, -0.6431604767932074], BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}[BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}([-0.6431604767932074, -0.6864420006686401, -0.7013489852442563, -0.5742249122712234, -0.6261128531068847, -0.5292404214558267, -0.4390724328777941, -0.49430534270197435, -0.5994355361948785, -0.6189527539062392 … 0.196469335864906, 0.18603998734896884, 0.27608323575673377, 0.3632196693532371, 0.4828564322173862, 0.5355540719177445, 0.5847632500571833, 0.6121718215563, 0.5320994567203565, 0.48664395676303857], BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}[BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}([0.48664395676303857, 0.5093214142264163, 0.39005279533770143, 0.11536762071436718, 0.2658896085557701, 0.2697453433507949], BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}[BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}([0.2697453433507949, 0.2404843882375502, 0.16431716189985163, 0.2325832425522587, 0.39546661568851516, 0.47778005854157757, 0.5170729274126089, 0.6174862702889168, 0.7651199884775256, 0.7212614705453207 … 1.7338577436319234, 1.7155439024076085, 1.8570334676816025, 1.864572264155128, 1.9677288322821405, 2.1550657439535725, 2.0370389604766195, 1.9341411972648794, 1.9988207584158506, 1.920493876054014], BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}[BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}([1.920493876054014, 1.97178781479618, 1.9701846876616953, 2.1100405363341297, 2.252838024346235, 2.361771479691587, 2.3012896043837103, 2.3043694089806754, 2.3279709967272515, 2.4768562085914865 … 3.5238881601708285, 3.6559128852347254, 3.714213675932694, 3.680370943351527, 3.633059785877343, 3.751806986871801, 3.770199273627481, 3.806229840862508, 3.9248741308934356, 4.005312258084205], BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, 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@NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}([1.4702686640653753, 1.40746165590754, 1.4240522445650596, 1.502456351885294, 1.3279568229387104, 1.3390484502957756, 1.4790431547504606, 1.4907457925274483, 1.5226030832115467, 1.381388373714313 … 1.6556737458572275, 1.6640289478704866, 1.6303302118505405, 1.6184037675517204, 1.4259549916535215, 1.4722797328817738, 1.5446784281559915, 1.5705293009429164, 1.5861061496197506, 1.61930683060882], BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}[BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}([1.61930683060882, 1.451761528755841, 1.3079597475074876, 1.3119370945498516, 1.3406400845044417, 1.074267615305002, 1.0139805029710314, 1.1138864743057575, 1.2512182350298093, 1.1297780793661447 … 1.3003015922487564, 1.2373879806294352, 1.1254553641385012, 1.0136807750832808, 0.9980782720556041, 0.9328400905687784, 0.8779479226634144, 0.9687185752414649, 0.853431266080831, 0.9013426997554079], BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}[BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}([0.9013426997554079, 0.8326850775669992], BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}[], nothing, nothing), BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}([0.9013426997554079, 0.850303721949143], BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}[], nothing, nothing)], nothing, nothing), BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}([1.61930683060882, 1.53464511697846, 1.507324154780974, 1.5629250277019873, 1.6430426421152895, 1.5990964445663602, 1.50343635821332, 1.6083206234830123, 1.4780420161875139, 1.6049094413839877 … 1.3301933416410199, 1.2455410583519817, 1.3093614465744454, 1.4018679963405472, 1.5033938538643246, 1.480988816401403, 1.5116468830659877, 1.5340317857992256, 1.3493933870156745, 1.3394976317872427], BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}[BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}([1.3394976317872427, 1.3020730113360048, 1.2032481271407294, 1.2214411565029195, 1.1404631513813923, 1.24049674883767, 1.2592891515664144, 1.2061863355745024, 1.4484527877630617, 1.3583334962801092, 1.3448512018539989], BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}[], nothing, nothing), BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}([1.3394976317872427, 1.3852710528059669, 1.3260031594201909, 1.3946634982399926, 1.1810207967598314, 1.3140026909775027, 1.3338967443561065, 1.2880944931771574, 1.2778894091821908, 1.1510153486098293, 1.139756560463017], BranchingProcessNode{RODESolution{Float64, 1, Vector{Float64}, Nothing, Nothing, Vector{Float64}, NoiseProcess{Float64, 1, Float64, Float64, Nothing, Nothing, typeof(DiffEqNoiseProcess.WHITE_NOISE_DIST), typeof(DiffEqNoiseProcess.WHITE_NOISE_BRIDGE), Nothing, false, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, ResettableStacks.ResettableStack{Tuple{Float64, Float64, Nothing}, false}, RSWM{Float64}, Nothing, Xoshiro}, Nothing, SDEProblem{Float64, Tuple{Float64, Float64}, false, NullParameters, Nothing, SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, typeof(Main.g), Base.Pairs{Symbol, CallbackSet{Vector{Any}, Vector{Any}}, Nothing, @NamedTuple{callback::CallbackSet{Vector{Any}, Vector{Any}}}}, Nothing}, EM{true}, OrdinaryDiffEqCore.InterpolationData{SDEFunction{false, SciMLBase.AutoSpecialize, typeof(Main.f), typeof(Main.g), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, Vector{Float64}, Vector{Float64}, Vector{Vector{Float64}}, Nothing, StochasticDiffEqLowOrder.EMConstantCache, Nothing}, SciMLBase.DEStats, Nothing, Nothing}}[], nothing, nothing)], nothing, nothing)], nothing, nothing)], nothing, nothing)], nothing, nothing)], nothing, nothing), EM{true}(), SciMLBase.ReturnCode.Success, nothing)The number of particles alive at the end of the sampled trajectory is:
using AbstractTrees
num_alive = treebreadth(sol)43The longest lineage in the tree is:
max_lineage_length = treeheight(sol)10Note that the actual tree structure implementing the AbstractTrees interface is the field sol.tree of type BranchingProcessNode. When tree operations like the ones above are called on a BranchingProcessSolution, they are delegated to the tree field. Hence we can call the same operations on any instance of aBranchingProcessNode, for instance
num_alive_sub = treebreadth(sol.tree.children[1])33Values at the tips of a branching process
We are often interested in the values at the tips of a branching process, that is, the values at the final time $T$ of a branching experiment of the particles alive at that time. To obtain these values, we use an iterator over the leaves of the tree and use the array interface for SciMLSolutions:
tip_vals = [node.sol[end] for node in Leaves(sol)]43-element Vector{Float64}:
4.005312258084205
2.340082119480956
2.1441698260104203
1.493088085132137
1.5016037383560283
1.3330855211177224
0.28256151221563397
0.21123995836772086
0.3380003505614073
1.4431235683201626
⋮
-0.5452018193650859
0.37491570255622797
-0.6814784286112359
-1.5888066026399699
2.114989637188242
0.8326850775669992
0.850303721949143
1.3448512018539989
1.139756560463017Again the call Leaves(sol) is delegated to its tree field, that is, it is equivalent to Leaves(sol.tree).
Because it is common to need the final value of a particle, this has been implemented as the value associated with a node:
tip_vals == [nodevalue(node) for node in Leaves(sol)]trueAn even shorter short-cut is to call the function tip_values:
tip_vals = tip_values(sol)