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Stock-based Compensation Plans (Tables) | 9 Months Ended
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Sep. 30, 2019
Allocation of Stock-Based Compensation by Functional Category | The following details the allocation of stock-based compensation to functional expense categories (in thousands):
|  | Three Months Ended September 30, |  |  |  | Nine Months Ended September 30, |
| 2019 |  |  |  | 2018 |  |  |  | 2019 |  |  |  | 2018 |
Direct operating expense | $ | 319 |  |  | $ | 537 |  |  | $ | 1,459 |  |  | $ | 1,667 |
Brokered natural gas and marketing expense |  | 522 |  |  |  | 403 |  |  |  | 1,523 |  |  |  | 1,001 |
Exploration expense |  | 496 |  |  |  | 405 |  |  |  | 1,372 |  |  |  | 1,527 |
General and administrative expense |  | 8,423 |  |  |  | 5,607 |  |  |  | 27,561 |  |  |  | 38,332 |
Termination costs |  | (1) |  |  |  | — |  |  |  | 25 |  |  |  | — |
Total stock-based compensation | $ | 9,759 |  |  | $ | 6,952 |  |  | $ | 31,940 |  |  | $ | 42,527 |
Restricted Stock and Restricted Stock Units Outstanding | The following is a summary of the status of our non-vested restricted stock outstanding at September 30, 2019:
| Restricted Stock Equity Awards |  |  | Restricted Stock Liability Awards |
| Shares |  |  | Weighted Average Grant Date Fair Value |  |  | Shares |  |  | Weighted Average Grant Date Fair Value |
Outstanding at December 31, 2018 |  | 1,386,088 |  |  | $ | 20.04 |  |  |  | 184,579 |  |  | $ | 15.65 |
Granted |  | 2,792,438 |  |  |  | 10.59 |  |  |  | 1,206,480 |  |  |  | 10.20 |
Vested |  | (1,246,420 | ) |  |  | 15.73 |  |  |  | (733,187 | ) |  |  | 10.76 |
Forfeited |  | (370,035 | ) |  |  | 13.44 |  |  |  | — |  |  |  | — |
Outstanding at September 30, 2019 |  | 2,562,071 |  |  | $ | 12.79 |  |  |  | 657,872 |  |  | $ | 11.10 |
Schedule of Share Based Payment Award Performance Stock Awards Valuation Assumptions | The following assumptions were used to estimate the fair value of PSUs granted during first nine months 2019 and 2018:
|  | Nine Months Ended September 30, |  |
|  | 2019 |  |  | 2018 |  |
Risk-free interest rate |  |  | 2.4 | % |  |  | 2.4 | % |
Expected annual volatility |  |  | 46 | % |  |  | 48 | % |
Grant date fair value per unit |  | $ | 11.34 |  |  | $ | 18.51 |  |
Stock Option and SARs Activities | Information with respect to our SARs activity is summarized below.
|  |  | Shares |  | Weighted Average Exercise Price |
Outstanding at December 31, 2018 |  |  | 1,104 |  | $ | 81.74 |
Expired |  |  | (1,104 | ) |  | 81.74 |
Outstanding at September 30, 2019 |  |  | — |  | $ | — |
Performance-based PG-PSUs and RG-PSUs |
Summary of Non-Vested Awards Activities | The following is a summary of our non-vested PG/RG-PSUs awards outstanding at September 30,
| Number of Units |  |  |  | Weighted Average Grant Date Fair Value |
Outstanding at December 31, 2018 |  | 536,798 |  |  | $ | 15.61 |
Units granted (a) |  | 345,202 |  |  |  | 10.32 |
Forfeited |  | (427 | ) |  |  | 15.65 |
Outstanding at September 30, 2019 |  | 881,573 |  |  | $ | 11.70 |
(a) | Amounts granted reflect the number of performance units granted; however, the actual payout of shares will be between zero and 200% depending on achievement of specifically identified performance targets.
Performance Based TSR - PSUs |
Summary of Non-Vested Awards Activities | The following is a summary of our non-vested TSR – PSUs award activities:
|  | Number of Units |  |  | Weighted Average Grant Date Fair Value |  |
Outstanding at December 31, 2018 |  |  | 1,067,886 |  |  | $ | 27.81 |  |
Units granted (a) |  |  | 314,152 |  |  |  | 11.34 |  |
Vested and issued (b) |  |  | (12,283 | ) |  |  | 30.47 |  |
Forfeited |  |  | (376,303 | ) |  |  | 37.25 |  |
Outstanding at September 30, 2019 |  |  | 993,452 |  |  | $ | 19.00 |  |
(a) | These amounts reflect the number of performance units granted. The actual payout of shares may be between zero and 200% of the performance units granted depending on the total shareholder return ranking compared to our peer companies at the vesting date.
(b) | Includes 12,283 TSR-PSUs awards issued related to the 2016 performance period where the return on our common stock was in the 20th percentile for the February 2016 grant. The remaining February 2016 awards are considered to be forfeited. The May 2016 awards were 100% forfeited as the performance was not achieved.

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