Since movement in 2-D is a special case of movement in 3-D, the
`eRTG3D`

algorithm also supports two-dimensional simulations.
The underlying data structure of the algorithm remains in
three-dimensional, with the third dimension (z) being constant, as for
example zero. This approach guarantees a seamless transition between 2-D
and 3-D simulations. Therefore, two P and Q probabilities are be
extracted from 2D and 3D trajectories, then a combined simulation can
take place.

`.3D <- sim.crw.3d(nStep = 100, rTurn = 0.99, rLift = 0.99, meanStep = 0.1) trajectory`

To simulate in 2-D the third dimension of the trajectory is set to zero:

```
.2D <- trajectory.3D
trajectory.2D$z <- 0
trajectoryhead(trajectory.2D)
#> x y z
#> 1 0.00000000 0.00000000 0
#> 2 -0.04976943 0.03299199 0
#> 3 -0.09460812 0.06814134 0
#> 4 -0.13551572 0.10242178 0
#> 5 -0.16315900 0.11669027 0
#> 6 -0.19171655 0.13107099 0
```

If the original trajectory is already two-dimensional, a third column
`z`

has to be added:
`trajectory.2D$z <- 0`

.

Now the workflow is the same as in 3-D, described in the standard workflow vignette:

**Note:** Since it is not feasible to use a DEM
(`DEM = demRaster`

) in 2-D simualtions, the adding of a DEM
in the somulations will result in dead ends. A BG layer
(`BG = bgRaster`

) with a binary mask or continous
probabilities for the simulation area can be passed (e.g. water bodies,
nutrition sources, …).

`.2D <- reproduce.track.3d(trajectory.2D) simulation`

And plotting the results:

`plot2d(trajectory.2D, simulation.2D, titleText = "2-D trajectory simulation")`