Description Usage Arguments Author(s) Examples

`phaseportmod`

creates a phase portrait (velocity plot, vectorfield) based on the two differential equations that were considered to be the overall best models for indicator 1 and indicator 2. The user may specify entities for which he/she wants to obtain the predicted (modeled) trajectories over the phase portrait. The user may extend the period of time for the modeling to get future-predicted trjectories of the entities based on the models. It calls the function `preprocess_data`

. It requires the packages `plm`

, `pracma`

, `deSolve`

and `graphics`

. The function produces graphs by some default settings. For specific requirements the user might want to modify the code according to his/her needs.

1 2 | ```
phaseportmod(dataset, yearnr, xv, yv, rangeX, rangeY, param, f, entidx1,
entidx2, entidx3, entidx4, entidx5, entidx6)
``` |

`dataset` |
a |

`yearnr` |
number of years for which the user wants to produce the phase portrait and obtain the modeled trajectories of the specified entities. |

`xv` |
a reference to variable from the paneldata to be included as indicator 1 in the modeling procedure. |

`yv` |
a reference to variable from the paneldata to be included as indicator 2 in the modeling procedure. |

`rangeX` |
defines the range of the indicator 1. |

`rangeY` |
defines the range of the indicator 2. |

`param` |
a vector with parameters from the two models in f. |

`f` |
a function that contains the models of the two indicators. |

`entidx1` |
index of an entity in the wide format data of a variable. |

`entidx2` |
index of an entity in the wide format data of a variable. |

`entidx3` |
index of an entity in the wide format data of a variable. |

`entidx4` |
index of an entity in the wide format data of a variable. |

`entidx5` |
index of an entity in the wide format data of a variable. |

`entidx6` |
index of an entity in the wide format data of a variable. |

Viktoria Spaiser: viktoria.sp@web.de

1 2 3 4 5 6 | ```
## Phase Portrait with Model Trajectories over 30 years with the following two models:
## dx/dt = 0.014 + 0.0064*x*y - 0.02*x and dy/dt = 0.106*x^3 - 0.062*y/x
phaseportmod(datap, 30, datap$logGDP, datap$DemocrH, seq(0, 1, by = 0.01), seq(0, 1, by = 0.01),
param <- c(0.014, -0.0064, -0.02, 0.106, -0.062), f <- function(t,Y=c())
rbind(0.014 + 0.0064*Y[1]*Y[2] - 0.02*Y[1], 0.106*Y[1]^3 - 0.062*(Y[2]/Y[1])), 1, 2, 4, 5, 7, 9)
``` |

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